Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze754.0ms (3.1%)

Memory

-86.9MiB live, 813.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	4
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	5
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	6
15.4%	12.5%	68.6%	0.2%	0%	18.7%	0%	7
16.7%	12.5%	62.3%	0.2%	0%	24.9%	0%	8
20%	14%	56.1%	0.2%	0%	29.6%	0%	9
20%	14%	56.1%	0.2%	0%	29.6%	0%	10
20%	14%	56.1%	0.2%	0%	29.6%	0%	11
22.9%	14.8%	49.9%	0.2%	0%	35.1%	0%	12

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.7s (23.2%)

Memory

99.8MiB live, 6 198.8MiB allocated

Samples

2.4s	13 127×	0	invalid
1.8s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-mult: 1.2s (38.1% of total)

ival-div: 838.0ms (26.5% of total)

ival-pow: 661.0ms (20.9% of total)

ival-pow2: 311.0ms (9.8% of total)

ival-sub: 101.0ms (3.2% of total)

exact: 21.0ms (0.7% of total)

ival-true: 17.0ms (0.5% of total)

ival-assert: 10.0ms (0.3% of total)

Bogosity

explain370.0ms (1.5%)

Memory

7.8MiB live, 601.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
74	-	2	(-8.995431996146543e-193 -3.3378998757931613e+131 -6.976306396762894e-181 -1.64477942546782e-292 4.7721801933171874e-23)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
66	-	5	(7.16152250110913e-110 1.431789333531031e+37 6.774087933974035e+213 -1.0746694230875172e-225 -8.923125873881237e+259)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
47	-	2	(-7.499700796098613e+184 -1.0086805982415917e-49 -1.4754101773468974e-75 -4.6582272825278086e-212 1.694210448965182e+241)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
27	-	7	(-8.995431996146543e-193 -3.3378998757931613e+131 -6.976306396762894e-181 -1.64477942546782e-292 4.7721801933171874e-23)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
25	-	1	(4.6000784788294227e-231 5.246229997276029e+100 1.583819455089873e+60 -6.797076775989922e+67 1.1055223610523195e-236)	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	38	0
↳	`(/.f64 d h)`	overflow	38
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	34	0
↳	`(/.f64 d h)`	underflow	34
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	31	0
↳	`(/.f64 d l)`	overflow	31
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	30	0
↳	`(/.f64 d l)`	underflow	30
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	14	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	13	0
↳	`(/.f64 d h)`	underflow	34
↳	`(/.f64 d l)`	underflow	30
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	21
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	81
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	81
↳	`(/.f64 h l)`	overflow	36
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	85
↳	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	overflow	85
↳	`(*.f64 M D)`	overflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	43
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	10	0
↳	`(*.f64 M D)`	overflow	32
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	8	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	81
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	81
↳	`(*.f64 M D)`	overflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	43
↳	`(/.f64 h l)`	underflow	31
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	3	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	37

Confusion

	Predicted +	Predicted -
+	84	4
-	40	128

Precision

0.6774193548387096

Recall

0.9545454545454546

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	4
-	40	0	128

Precision?

0.6774193548387096

Recall?

0.9545454545454546

Freqs

test

number	freq
0	132
1	73
2	39
3	12

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

119.0ms

512×

valid

Compiler

Compiled 352 to 70 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-pow: 29.0ms (33.3% of total)

ival-div: 21.0ms (24.1% of total)

ival-mult: 16.0ms (18.4% of total)

ival-sub: 14.0ms (16.1% of total)

ival-pow2: 5.0ms (5.7% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

preprocess208.0ms (0.9%)

Memory

11.2MiB live, 362.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 600×	`lower-*.f32`
6 588×	`lower-*.f64`
3 422×	`lower-/.f32`
3 414×	`lower-/.f64`
2 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	1960	548
3	4611	548
0	22	29
0	38	27
1	67	27
2	174	27
3	1054	27
4	3441	27
5	6724	27
0	8027	26

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Outputs

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))))

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 40 to 22 computations (45% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

66.7%

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Compiler

Compiled 40 to 22 computations (45% saved)

simplify310.0ms (1.3%)

Memory

-21.1MiB live, 259.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

6 600×	`lower-*.f32`
6 588×	`lower-*.f64`
3 422×	`lower-/.f32`
3 414×	`lower-/.f64`
2 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	174	126
3	1054	126
4	3441	126
5	6724	126
0	8027	124

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

Outputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 h #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(fma.f64 (.f64 h #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (.f64 h #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (.f64 d d)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 #s(literal 4 binary64) (.f64 d d))))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 #s(literal 4 binary64) (*.f64 d d)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 h l)

localize71.0ms (0.3%)

Memory

5.9MiB live, 125.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.891336719824295	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	10.664184036967589	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	14.937243944848525	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	17.308509248640636	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

50.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 10.0ms (27.8% of total)

ival-pow: 10.0ms (27.8% of total)

ival-mult: 8.0ms (22.2% of total)

ival-sub: 5.0ms (13.9% of total)

ival-pow2: 2.0ms (5.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series116.0ms (0.5%)

Memory

13.9MiB live, 86.4MiB allocated

Counts

6 → 204

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) (taylor inf M) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor inf D) (#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ())) ())
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Calls

51 calls:

Time	Variable		Point	Expression
38.0ms	M	@	0	(pow (/ (* M D) (* 2 d)) 2)
4.0ms	l	@	inf	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
2.0ms	D	@	0	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	h	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
1.0ms	l	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))

simplify242.0ms (1%)

Memory

-33.6MiB live, 345.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 660×	`lower-fma.f64`
6 660×	`lower-fma.f32`
5 620×	`lower-*.f64`
5 620×	`lower-*.f32`
3 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))

Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
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(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (neg.f64 d))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (neg.f64 d))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (neg.f64 d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))

rewrite274.0ms (1.1%)

Memory

31.3MiB live, 344.1MiB allocated

Rules

7 446×	`lower-*.f32`
7 434×	`lower-*.f64`
4 352×	`lower-fma.f64`
4 352×	`lower-fma.f32`
3 368×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 603

Calls

Call 1

Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 d d) h) h)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 h (neg.f64 d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 d d) h) h) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d))
(.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 h #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 d d) l) l)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 l (neg.f64 d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 l)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 d d) l) l) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) #s(literal 1 binary64)))
(.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 l #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 d))
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(.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 h #s(literal -1/4 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))))) (.f64 l l)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))))) (.f64 l l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))

eval128.0ms (0.5%)

Memory: -32.5MiB live, 247.5MiB allocated
Compiler: Compiled 32 235 to 2 661 computations (91.7% saved)

prune223.0ms (0.9%)

Memory

11.5MiB live, 435.5MiB allocated

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	777	32	809
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	778	32	810

Accuracy

91.2%

Counts

810 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.5%	(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	27.6%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 h)) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
▶	32.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	30.0%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
	30.2%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	27.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	53.3%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	53.8%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
▶	38.1%	(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
	38.1%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	63.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	68.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))))
	57.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))
▶	69.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	64.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 M #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 D d)))))
	46.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M)))) (.f64 d (*.f64 d l))))))
▶	35.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.2%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	30.0%	(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
	54.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	27.6%	(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
	19.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
	28.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))))
▶	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))

Compiler

Compiled 2 334 to 1 426 computations (38.9% saved)

simplify192.0ms (0.8%)

Memory

38.0MiB live, 384.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	384	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	4800	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
cost-diff	0	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
cost-diff	384	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (.f64 d d) (.f64 h l))
cost-diff	0	(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
cost-diff	384	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 h l))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
cost-diff	0	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

9 584×	`lower-*.f32`
9 542×	`lower-*.f64`
1 922×	`lower-/.f32`
1 892×	`lower-/.f64`
1 742×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	692
0	135	697
1	260	669
2	796	642
3	5414	642
0	8080	630

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(/.f64 (.f64 d d) (.f64 h l))
(*.f64 d d)
d
(*.f64 h l)
h
l
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(.f64 M (.f64 D (*.f64 M D)))
M
(.f64 D (.f64 M D))
D
(*.f64 M D)
(.f64 (.f64 d d) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
#s(literal -1/2 binary64)
(/.f64 h l)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(.f64 M (.f64 D (*.f64 M D)))
M
(.f64 D (.f64 M D))
D
(*.f64 M D)
(.f64 (.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
#s(literal 4 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
#s(literal -1/2 binary64)
(/.f64 h l)
h
#s(literal 1 binary64)
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 h))
(neg.f64 h)
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 d)
(sqrt.f64 l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

Outputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 d l)) (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 d l)) (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 h (.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) D) M)) (.f64 d (*.f64 #s(literal 2 binary64) l)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d)
(.f64 M (.f64 D #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 M D))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(/.f64 (.f64 d d) (.f64 h l))
(*.f64 d d)
d
(*.f64 h l)
h
l
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (*.f64 d #s(literal 4 binary64))))
(.f64 M (.f64 D (*.f64 M D)))
(.f64 M (.f64 M (*.f64 D D)))
M
(.f64 D (.f64 M D))
(.f64 M (.f64 D D))
D
(*.f64 M D)
(.f64 (.f64 d d) #s(literal 4 binary64))
(.f64 d (.f64 d #s(literal 4 binary64)))
#s(literal 4 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
#s(literal -1/2 binary64)
(/.f64 h l)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
(.f64 (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 d))))
(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (*.f64 d #s(literal 4 binary64))))
(.f64 M (.f64 D (*.f64 M D)))
(.f64 M (.f64 M (*.f64 D D)))
M
(.f64 D (.f64 M D))
(.f64 M (.f64 D D))
D
(*.f64 M D)
(.f64 (.f64 d d) #s(literal 4 binary64))
(.f64 d (.f64 d #s(literal 4 binary64)))
(*.f64 d d)
#s(literal 4 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
#s(literal -1/2 binary64)
(/.f64 h l)
h
#s(literal 1 binary64)
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 h))
(neg.f64 h)
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 d) (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 d l)) (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 l))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 d)
(sqrt.f64 l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 d l)) (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(/.f64 (.f64 h (.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) D) M)) (.f64 d (*.f64 #s(literal 2 binary64) l)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) D) M) (*.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M (.f64 D D)) (/.f64 M (.f64 d #s(literal 2 binary64)))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 h l)

localize251.0ms (1%)

Memory

-34.7MiB live, 536.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 M D)
accuracy	0	(*.f64 #s(literal 2 binary64) d)
accuracy	0	(sqrt.f64 l)
accuracy	0	(sqrt.f64 d)
accuracy	0	(sqrt.f64 (neg.f64 h))
accuracy	0	(sqrt.f64 (neg.f64 d))
accuracy	0	(neg.f64 h)
accuracy	0	(neg.f64 d)
accuracy	0	(*.f64 M D)
accuracy	0	(.f64 D (.f64 M D))
accuracy	0	(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
accuracy	0	(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
accuracy	0	(*.f64 h l)
accuracy	0	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
accuracy	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
accuracy	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
accuracy	0	(*.f64 d #s(literal 2 binary64))
accuracy	0	(.f64 M (.f64 D #s(literal 1/2 binary64)))
accuracy	0	(*.f64 M D)
accuracy	0	(*.f64 D #s(literal 1/2 binary64))

Samples

129.0ms

256×

invalid

Compiler

Compiled 728 to 67 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 37.0ms (39.4% of total)

ival-div: 26.0ms (27.7% of total)

ival-sqrt: 11.0ms (11.7% of total)

ival-pow: 11.0ms (11.7% of total)

ival-pow2: 3.0ms (3.2% of total)

ival-sub: 2.0ms (2.1% of total)

ival-neg: 2.0ms (2.1% of total)

ival-add: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series101.0ms (0.4%)

Memory

3.2MiB live, 238.9MiB allocated

Counts

31 → 936

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) #<representation binary64>) () ())
#s(alt (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (patch (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) (patch (/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (patch (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 d d) (.f64 h l)) (patch (/.f64 (.f64 d d) (.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (patch (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (patch (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (patch (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (.f64 D #s(literal 1/2 binary64)) (patch (.f64 D #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 M D) (patch (.f64 M D) #<representation binary64>) () ())
#s(alt (.f64 M (.f64 D #s(literal 1/2 binary64))) (patch (.f64 M (.f64 D #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 d #s(literal 2 binary64)) (patch (.f64 d #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 h l) (patch (.f64 h l) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (patch (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (.f64 D (.f64 M D)) (patch (.f64 D (.f64 M D)) #<representation binary64>) () ())
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())
#s(alt (neg.f64 h) (patch (neg.f64 h) #<representation binary64>) () ())
#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())
#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())
#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt d) (sqrt -1)) (taylor inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (sqrt -1))) (taylor -inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (sqrt -1))) (taylor -inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (sqrt -1))) (taylor -inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (sqrt -1))) (taylor -inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor 0 h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor 0 h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor 0 h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor 0 h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt h) (sqrt -1))) (taylor -inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt h) (sqrt -1))) (taylor -inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt h) (sqrt -1))) (taylor -inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt h) (sqrt -1))) (taylor -inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor 0 d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor 0 d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor 0 d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor 0 d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())

Calls

234 calls:

Time	Variable		Point	Expression
7.0ms	h	@	0	(/ (/ (* M D) (* d 2)) (/ 1 h))
2.0ms	D	@	inf	(* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))
2.0ms	l	@	0	(/ (* d d) (* h l))
1.0ms	d	@	0	(* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d)))
1.0ms	D	@	0	(/ (/ (* M D) (* d 2)) (/ 1 h))

simplify407.0ms (1.7%)

Memory

23.1MiB live, 318.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 594×	`lower-*.f64`
8 594×	`lower-*.f32`
5 400×	`lower-fma.f64`
5 400×	`lower-fma.f32`
3 462×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	13249
1	922	12879
2	3271	12808
3	7236	12760
0	8648	12508

Stop Event

1×	iter limit
1×	node limit

Counts

936 → 936

Calls

Call 1

Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
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(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* (pow D 2) M)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* -1 (* (sqrt d) (sqrt -1)))
(* -1 (* (sqrt d) (sqrt -1)))
(* -1 (* (sqrt d) (sqrt -1)))
(* -1 (* (sqrt d) (sqrt -1)))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* -1 (* (sqrt h) (sqrt -1)))
(* -1 (* (sqrt h) (sqrt -1)))
(* -1 (* (sqrt h) (sqrt -1)))
(* -1 (* (sqrt h) (sqrt -1)))
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)

Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))))) d)
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(.f64 d (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 D (/.f64 D (.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(.f64 d (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 D (/.f64 D (.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(.f64 d (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 D (/.f64 D (.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(.f64 d (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 D (/.f64 D (.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(.f64 d (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 D (/.f64 D (.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(.f64 d (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 D (/.f64 D (.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)
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(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal 1/8 binary64)) h) (.f64 d (*.f64 d l)))
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 1/2 (* D M))
(.f64 #s(literal 1/2 binary64) (.f64 D M))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* (pow D 2) M)
(.f64 M (.f64 D D))
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 d)))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 d)))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 d)))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 d)))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* -1 (* (sqrt h) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 h)))
(* -1 (* (sqrt h) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 h)))
(* -1 (* (sqrt h) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 h)))
(* -1 (* (sqrt h) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 h)))
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))

rewrite374.0ms (1.5%)

Memory

-13.2MiB live, 456.6MiB allocated

Rules

4 080×	`lower-*.f32`
4 048×	`lower-*.f64`
4 004×	`lower-/.f32`
3 980×	`lower-/.f64`
2 238×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	300
0	112	284
1	347	257
2	2289	251
0	8409	251

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

31 → 1 366

Calls

Call 1

Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(/.f64 (.f64 d d) (.f64 h l))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 M D)
(.f64 M (.f64 D #s(literal 1/2 binary64)))
(*.f64 d #s(literal 2 binary64))
(*.f64 h l)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
(.f64 D (.f64 M D))
(neg.f64 d)
(neg.f64 h)
(sqrt.f64 (neg.f64 d))
(sqrt.f64 (neg.f64 h))
(sqrt.f64 d)
(sqrt.f64 l)
(*.f64 #s(literal 2 binary64) d)

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) D))
(/.f64 D #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) D)))
(/.f64 (neg.f64 D) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 D)) #s(literal 2 binary64))
(pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) D)
(*.f64 #s(literal 1/2 binary64) (pow.f64 D #s(literal 1 binary64)))
(*.f64 (pow.f64 D #s(literal 1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 M D)) #s(literal 1 binary64)))
(pow.f64 (*.f64 M D) #s(literal 1 binary64))
(*.f64 M D)
(*.f64 M (pow.f64 D #s(literal 1 binary64)))
(*.f64 D M)
(*.f64 (pow.f64 D #s(literal 1 binary64)) M)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 M D) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 M D)))
(/.f64 (*.f64 M D) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 M D))))
(/.f64 (neg.f64 (*.f64 M D)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 M D))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M D)) #s(literal -1 binary64))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
(.f64 D (.f64 M #s(literal 1/2 binary64)))
(.f64 D (.f64 #s(literal 1/2 binary64) M))
(.f64 (.f64 M D) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 M D))
(.f64 (.f64 M #s(literal 1/2 binary64)) D)
(.f64 (.f64 D #s(literal 1/2 binary64)) M)
(*.f64 d #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) d)
(exp.f64 (log.f64 (*.f64 h l)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 h l) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 (*.f64 h l) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(/.f64 (*.f64 h (neg.f64 l)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 h (neg.f64 l))) #s(literal 1 binary64))
(pow.f64 (*.f64 h l) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) #s(literal -1 binary64))
(*.f64 h l)
(*.f64 h (/.f64 l #s(literal 1 binary64)))
(*.f64 l h)
(.f64 (.f64 h l) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 l h)))
(/.f64 #s(literal -1/2 binary64) (/.f64 l h))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 h #s(literal -1/2 binary64)))))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(/.f64 (neg.f64 (*.f64 h #s(literal -1/2 binary64))) (neg.f64 l))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 h)) (neg.f64 l))
(/.f64 (*.f64 (neg.f64 h) #s(literal -1/2 binary64)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 h))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 l)))
(pow.f64 (/.f64 l (*.f64 h #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 h (.f64 (/.f64 #s(literal 1 binary64) l) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
(*.f64 (/.f64 h l) #s(literal -1/2 binary64))
(.f64 (.f64 h #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))
(.f64 M (.f64 D D))
(.f64 D (.f64 M D))
(.f64 (.f64 M D) D)
(.f64 (.f64 D D) M)
(+.f64 #s(literal 0 binary64) (neg.f64 d))
(-.f64 #s(literal 0 binary64) d)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) d)) (/.f64 (*.f64 d d) (+.f64 #s(literal 0 binary64) d)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 d d (.f64 #s(literal 0 binary64) d)))) (/.f64 (.f64 d (.f64 d d)) (+.f64 #s(literal 0 binary64) (fma.f64 d d (.f64 #s(literal 0 binary64) d)))))
(neg.f64 d)
(/.f64 (*.f64 d (neg.f64 d)) (+.f64 #s(literal 0 binary64) d))
(/.f64 (neg.f64 (*.f64 d (neg.f64 d))) (neg.f64 (+.f64 #s(literal 0 binary64) d)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 d (.f64 d d))) (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 d (.f64 d d)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 d) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 d d) (.f64 #s(literal 0 binary64) (neg.f64 d)))))
(*.f64 d #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) d)
(+.f64 #s(literal 0 binary64) (neg.f64 h))
(-.f64 #s(literal 0 binary64) h)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 h h (.f64 #s(literal 0 binary64) h)))) (/.f64 (.f64 h (.f64 h h)) (+.f64 #s(literal 0 binary64) (fma.f64 h h (.f64 #s(literal 0 binary64) h)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) h)) (/.f64 (*.f64 h h) (+.f64 #s(literal 0 binary64) h)))
(neg.f64 h)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 h (.f64 h h))) (+.f64 #s(literal 0 binary64) (fma.f64 h h (*.f64 #s(literal 0 binary64) h))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 h h)) (+.f64 #s(literal 0 binary64) h))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 h (.f64 h h)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 h h (*.f64 #s(literal 0 binary64) h)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 h h))) (neg.f64 (+.f64 #s(literal 0 binary64) h)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 h) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 h) (neg.f64 h)) (.f64 #s(literal 0 binary64) (neg.f64 h)))))
(*.f64 h #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) h)
(exp.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)))
(sqrt.f64 d)
(sqrt.f64 (neg.f64 d))
(/.f64 d (sqrt.f64 (+.f64 #s(literal 0 binary64) d)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 d (.f64 d d)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))))
(pow.f64 d #s(literal 1/2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 d) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 d))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 d) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64)))
(sqrt.f64 (neg.f64 h))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 h (.f64 h h)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 h h (*.f64 #s(literal 0 binary64) h)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 h h))) (sqrt.f64 (+.f64 #s(literal 0 binary64) h)))
(pow.f64 (neg.f64 h) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 h) (neg.f64 h)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 h))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(*.f64 (sqrt.f64 h) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)))
(sqrt.f64 d)
(sqrt.f64 (neg.f64 d))
(/.f64 d (sqrt.f64 (+.f64 #s(literal 0 binary64) d)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 d (.f64 d d)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))))
(pow.f64 d #s(literal 1/2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 d) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 d))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 d) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)))
(sqrt.f64 l)
(pow.f64 l #s(literal 1/2 binary64))
(pow.f64 (*.f64 l l) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 l #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 l #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64)))
(*.f64 d #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) d)

eval385.0ms (1.6%)

Memory: 25.0MiB live, 712.3MiB allocated
Compiler: Compiled 102 728 to 5 681 computations (94.5% saved)

prune584.0ms (2.4%)

Memory

-8.7MiB live, 799.2MiB allocated

Pruning

61 alts after pruning (60 fresh and 1 done)

	Pruned	Kept	Total
New	2 705	50	2 755
Fresh	17	10	27
Picked	4	1	5
Done	0	0	0
Total	2 726	61	2 787

Accuracy

92.3%

Counts

2 787 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 h)) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
▶	29.2%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
	28.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (/.f64 M (*.f64 d d))))) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	22.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
▶	30.2%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	53.3%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	3.0%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	37.0%	(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D (.f64 D (/.f64 h (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 M M)) #s(literal 1 binary64)))))
	31.8%	(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))))
	31.0%	(/.f64 #s(approx (sqrt (/ (* d d) (* h l))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
	38.1%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	28.0%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
	69.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	63.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	68.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d))))
	67.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	29.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (*.f64 d #s(literal 4 binary64)))))) (/.f64 h l))))
▶	69.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	67.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	38.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	41.7%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	41.3%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	69.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	50.7%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	54.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	35.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.7%	(.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	26.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	19.4%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d)))) (*.f64 l l)))
	15.3%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
	18.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
	31.1%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l (.f64 h h)) h))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))))))))
	27.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
	28.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	17.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	29.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	19.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
	19.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
	5.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
▶	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	21.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
	40.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
▶	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
✓	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
	21.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	24.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))

Compiler

Compiled 3 496 to 2 192 computations (37.3% saved)

simplify486.0ms (2%)

Memory

-171.8MiB live, 282.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
cost-diff	0	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
cost-diff	704	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) d)
cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))
cost-diff	320	(/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))
cost-diff	0	(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
cost-diff	1088	(/.f64 l (/.f64 #s(literal 1 binary64) h))
cost-diff	0	(*.f64 h l)
cost-diff	0	(sqrt.f64 (*.f64 h l))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 h l)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
cost-diff	384	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

7 046×	`lower-*.f32`
6 998×	`lower-*.f64`
4 296×	`lower-/.f32`
4 266×	`lower-/.f64`
1 978×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	628
0	132	616
1	280	581
2	979	569
3	5347	569
4	7782	569
0	8083	558

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))
#s(literal 1 binary64)
(/.f64 l (/.f64 #s(literal 1 binary64) h))
l
(/.f64 #s(literal 1 binary64) h)
h
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) d)
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))
#s(literal 1 binary64)
(/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))
(.f64 (.f64 D (.f64 M (.f64 M D))) (*.f64 h #s(literal -1/2 binary64)))
(.f64 D (.f64 M (*.f64 M D)))
D
(.f64 M (.f64 M D))
M
(*.f64 M D)
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)
(.f64 d (.f64 d #s(literal 4 binary64)))
d
(*.f64 d #s(literal 4 binary64))
#s(literal 4 binary64)
l
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(.f64 M (.f64 D (*.f64 M D)))
M
(.f64 D (.f64 M D))
D
(*.f64 M D)
(.f64 (.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
#s(literal 4 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
#s(literal -1/2 binary64)
(/.f64 h l)
l
#s(literal 1 binary64)
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 l))
(neg.f64 l)

Outputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 d l)) (.f64 h (.f64 M (/.f64 D (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 d l)) (.f64 h (.f64 M (/.f64 D (.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (.f64 d l)) (.f64 h (.f64 M D))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d)
(.f64 M (.f64 D #s(literal 1/2 binary64)))
(.f64 D (.f64 M #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 h (.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(/.f64 l (/.f64 #s(literal 1 binary64) h))
(*.f64 h l)
l
(/.f64 #s(literal 1 binary64) h)
h
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (fma.f64 d (.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (/.f64 #s(literal -1/8 binary64) (.f64 l (.f64 d d)))) d) (sqrt.f64 (.f64 h l)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) d)
(fma.f64 d (.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (/.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 d d)))) d)
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))
(fma.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (/.f64 #s(literal -1/8 binary64) (.f64 l (.f64 d d))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))
(.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (/.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 d d))))
(.f64 (.f64 D (.f64 M (.f64 M D))) (*.f64 h #s(literal -1/2 binary64)))
(.f64 D (.f64 h (.f64 (.f64 M (*.f64 M D)) #s(literal -1/2 binary64))))
(.f64 D (.f64 M (*.f64 M D)))
(.f64 M (.f64 D (*.f64 M D)))
D
(.f64 M (.f64 M D))
M
(*.f64 M D)
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)
(.f64 d (.f64 #s(literal 4 binary64) (*.f64 d l)))
(.f64 d (.f64 d #s(literal 4 binary64)))
d
(*.f64 d #s(literal 4 binary64))
#s(literal 4 binary64)
l
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (fma.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (/.f64 #s(literal -1/8 binary64) (.f64 l (.f64 d d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (fma.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (/.f64 #s(literal -1/8 binary64) (.f64 l (.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 d))))
(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (/.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (/.f64 #s(literal -1/8 binary64) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d (*.f64 d #s(literal 4 binary64))))
(.f64 M (.f64 D (*.f64 M D)))
M
(.f64 D (.f64 M D))
D
(*.f64 M D)
(.f64 (.f64 d d) #s(literal 4 binary64))
(.f64 d (.f64 d #s(literal 4 binary64)))
(*.f64 d d)
#s(literal 4 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
#s(literal -1/2 binary64)
(/.f64 h l)
l
#s(literal 1 binary64)
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 l))
(neg.f64 l)

localize263.0ms (1.1%)

Memory

12.4MiB live, 355.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.4970219077301352	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
accuracy	3.387956622618775	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
accuracy	6.240838042378292	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy	7.775083108965358	(sqrt.f64 (/.f64 d h))
accuracy	1.381940628700806	(.f64 (.f64 D (.f64 M (.f64 M D))) (*.f64 h #s(literal -1/2 binary64)))
accuracy	4.1418754749893525	(.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)
accuracy	4.643539543022724	(sqrt.f64 (*.f64 h l))
accuracy	5.897421996837096	(/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))
accuracy	0.109375	(/.f64 l (/.f64 #s(literal 1 binary64) h))
accuracy	0.28495397202512973	(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))
accuracy	4.435636471269041	(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))
accuracy	29.794280604693032	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
accuracy	0	(*.f64 h l)
accuracy	0.08984375	(/.f64 d (sqrt.f64 (*.f64 h l)))
accuracy	4.643539543022724	(sqrt.f64 (*.f64 h l))
accuracy	29.794280604693032	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
accuracy	2.944287392168571	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
accuracy	3.409792555151116	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
accuracy	7.034838279975712	(sqrt.f64 (/.f64 d l))
accuracy	7.775083108965358	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

82.0ms	125×	0	valid
75.0ms	131×	0	invalid

Compiler

Compiled 636 to 74 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult: 44.0ms (38.7% of total)

ival-div: 31.0ms (27.3% of total)

ival-pow: 19.0ms (16.7% of total)

ival-sqrt: 9.0ms (7.9% of total)

ival-add: 2.0ms (1.8% of total)

ival-sub: 2.0ms (1.8% of total)

ival-neg: 2.0ms (1.8% of total)

ival-pow2: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series119.0ms (0.5%)

Memory

11.4MiB live, 250.5MiB allocated

Counts

27 → 1 116

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h l)))) (patch #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) #<representation binary64>) () ())
#s(alt (/.f64 d (sqrt.f64 (.f64 h l))) (patch (/.f64 d (sqrt.f64 (.f64 h l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 h l)) (patch (sqrt.f64 (.f64 h l)) #<representation binary64>) () ())
#s(alt (.f64 h l) (patch (.f64 h l) #<representation binary64>) () ())
#s(alt (/.f64 l (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 l (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) (patch #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) #<representation binary64>) () ())
#s(alt (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))) (patch (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (patch (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l))) (patch (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (patch (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (patch (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (patch (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (patch (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (patch (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))) (patch (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) (patch (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l) #<representation binary64>) () ())
#s(alt (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (patch (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf D) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())

Calls

279 calls:

Time	Variable		Point	Expression
17.0ms	d	@	inf	(* d (sqrt (/ 1 (/ l (/ 1 h)))))
2.0ms	M	@	0	(* (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d)))
1.0ms	h	@	-inf	(* (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d)))
1.0ms	M	@	0	(/ (/ (* M (* D 1/2)) (* d 2)) l)
1.0ms	h	@	-inf	(/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l)))

simplify317.0ms (1.3%)

Memory

25.7MiB live, 516.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 736×	`lower-*.f64`
6 736×	`lower-*.f32`
5 052×	`lower-fma.f64`
5 052×	`lower-fma.f32`
3 448×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	18610
1	1091	18076
2	4083	17983
3	6751	17959
0	8372	17545

Stop Event

1×	iter limit
1×	node limit

Counts

1 116 → 1 109

Calls

Call 1

Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
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(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(sqrt (/ d l))
(sqrt (/ d l))
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(sqrt (/ d l))
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(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
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(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
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(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
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(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
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(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
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(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(/ 1 (* h l))
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(/ 1 (* h l))
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(/ 1 (* h l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
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(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* -1/2 (* (pow D 2) (* (pow M 2) h)))
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(* -1/2 (* (pow D 2) (* (pow M 2) h)))
(* -1/2 (* (pow D 2) (* (pow M 2) h)))
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(* -1/2 (* (pow D 2) (* (pow M 2) h)))
(* -1/2 (* (pow D 2) (* (pow M 2) h)))
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(sqrt (/ d h))
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(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
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(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
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(* (sqrt (/ d h)) (pow (sqrt -1) 2))
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(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
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(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
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(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
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Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
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(sqrt (/ d h))
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(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
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(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
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(sqrt (/ d h))
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(sqrt (/ d h))
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(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
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(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
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(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))

rewrite422.0ms (1.7%)

Memory

6.3MiB live, 425.1MiB allocated

Rules

4 862×	`lower-*.f32`
4 814×	`lower-*.f64`
3 096×	`lower-pow.f32`
3 094×	`lower-pow.f64`
3 068×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	420
0	132	387
1	461	338
2	3919	328
0	8212	328

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

27 → 1 332

Calls

Call 1

Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
(/.f64 l (/.f64 #s(literal 1 binary64) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))
(/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) d)
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d l))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)
(.f64 (.f64 D (.f64 M (.f64 M D))) (*.f64 h #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (sqrt.f64 d)))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 h))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 h)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (.f64 d #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) (neg.f64 (log.f64 h))))
(neg.f64 (/.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 h (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)) (.f64 M D)))
(/.f64 (.f64 M D) (.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 d h))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)))))
(/.f64 (neg.f64 (.f64 M D)) (neg.f64 (.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (/.f64 (.f64 M D) d) (.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 d h))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 M D)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 M D) d) h) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d)
(/.f64 (/.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) h)) (.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)) (.f64 M D)) #s(literal -1 binary64))
(.f64 h (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))))
(.f64 M (/.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(.f64 M (.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h))
(.f64 M (/.f64 D (.f64 (/.f64 d h) #s(literal 2 binary64))))
(.f64 D (/.f64 M (.f64 (/.f64 d h) #s(literal 2 binary64))))
(.f64 (.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(.f64 (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64)))) h)
(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal 1/2 binary64)) h))
(.f64 (/.f64 M d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (.f64 d #s(literal 2 binary64))))
(.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (.f64 d #s(literal 2 binary64))))
(.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 M d) #s(literal 1 binary64)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 h))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D (.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 M d)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 D #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (neg.f64 (.f64 M D))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 M D) d)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
#s(literal 1/2 binary64)
(exp.f64 (.f64 (log.f64 (.f64 l (.f64 (/.f64 d (.f64 M D)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)))
(/.f64 #s(literal 1 binary64) (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (.f64 M (.f64 D #s(literal 1/2 binary64)))))
(/.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d #s(literal 2 binary64)) l))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) d) l)
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) d) (neg.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 l (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 d #s(literal 2 binary64)) l)))
(/.f64 (.f64 (neg.f64 M) (/.f64 (.f64 D #s(literal 1/4 binary64)) d)) (neg.f64 l))
(/.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (/.f64 d (.f64 M D)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 d #s(literal 2 binary64)) l))
(/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 d #s(literal -2 binary64)) l))
(/.f64 (.f64 (/.f64 (.f64 M (*.f64 D #s(literal 1/4 binary64))) d) #s(literal 1 binary64)) l)
(/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) l)) (.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l)) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) l)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) l) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (neg.f64 M) (/.f64 (.f64 D #s(literal 1/4 binary64)) d)) #s(literal -1 binary64)) l)
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(.f64 (pow.f64 (.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (/.f64 M d)) #s(literal 1 binary64)) (*.f64 D #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64)))) (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 D d))
(.f64 (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) (.f64 M (.f64 D D))) #s(literal -1 binary64)) (/.f64 M d))
(.f64 (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) (.f64 M (.f64 M D))) #s(literal -1 binary64)) (/.f64 D d))
(.f64 (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) (.f64 M D)) #s(literal -1 binary64)) (/.f64 (.f64 M D) d))
(.f64 (pow.f64 (/.f64 d (.f64 M (.f64 M D))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) D) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d (.f64 M (.f64 M D))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d (.f64 M (.f64 D D))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) M) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) M) #s(literal -1 binary64)) (pow.f64 (/.f64 d (.f64 M (.f64 D D))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 D D))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 D D))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 M D))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 M D))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) D) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 M D)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 M D)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 M (.f64 M D))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) D) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) D) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 M (.f64 M D))) #s(literal -1 binary64)))

eval449.0ms (1.8%)

Memory: 10.5MiB live, 412.6MiB allocated
Compiler: Compiled 81 772 to 4 951 computations (93.9% saved)

prune897.0ms (3.7%)

Memory

16.7MiB live, 832.6MiB allocated

Pruning

68 alts after pruning (65 fresh and 3 done)

	Pruned	Kept	Total
New	2 498	36	2 534
Fresh	26	29	55
Picked	3	2	5
Done	0	1	1
Total	2 527	68	2 595

Accuracy

95.9%

Counts

2 595 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.5%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
	33.4%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	38.9%	(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
	39.5%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	30.0%	(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
▶	31.4%	(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	31.5%	(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	32.0%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
	33.0%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (.f64 (sqrt.f64 l) (sqrt.f64 h)))
	34.1%	(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	34.1%	(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	28.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (/.f64 M (*.f64 d d))))) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	32.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) l) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	35.9%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	34.9%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (/.f64 (.f64 M D) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	30.9%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	27.7%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
▶	13.2%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	53.3%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	28.8%	(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
	3.0%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	13.4%	(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 (neg.f64 M) M) l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	37.0%	(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D (.f64 D (/.f64 h (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 M M)) #s(literal 1 binary64)))))
	31.8%	(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))))
	35.0%	(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
	17.0%	(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
	19.3%	(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
	31.8%	(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
	38.1%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	45.2%	(.f64 (.f64 (fma.f64 M (.f64 (.f64 M (.f64 D D)) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	63.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	68.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d)))))
	66.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
	68.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 l (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	54.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
▶	69.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	17.1%	#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l)))
	15.3%	#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
	18.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
	27.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
	28.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	17.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	29.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	19.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
	19.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
	26.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
▶	5.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
✓	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	40.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
▶	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
✓	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
✓	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
	21.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))

Compiler

Compiled 3 676 to 2 375 computations (35.4% saved)

simplify314.0ms (1.3%)

Memory

-41.0MiB live, 270.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 d h))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d)))
cost-diff	0	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
cost-diff	0	(fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d)
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
cost-diff	320	(/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal -1 binary64) h))
cost-diff	0	(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))
cost-diff	0	(*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
cost-diff	0	(*.f64 h (neg.f64 l))
cost-diff	0	(sqrt.f64 (*.f64 h (neg.f64 l)))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
cost-diff	320	(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
cost-diff	384	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))

Rules

6 274×	`lower-*.f32`
6 224×	`lower-*.f64`
4 454×	`lower-/.f32`
4 426×	`lower-/.f64`
1 374×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	690
0	140	686
1	290	646
2	1017	634
3	4849	634
4	7055	634
0	8031	630

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
#s(literal 1 binary64)
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
(/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l))))
d
(sqrt.f64 (*.f64 h (neg.f64 l)))
(*.f64 h (neg.f64 l))
h
(neg.f64 l)
l
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))
d
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) h))
(/.f64 #s(literal -1 binary64) h)
#s(literal -1 binary64)
h
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
l
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d)
(fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64))
(*.f64 M D)
M
D
(.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))))
(/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))
l
(.f64 d (.f64 d #s(literal 4 binary64)))
d
(*.f64 d #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d)))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
#s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))
(.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))
(/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l)))
(.f64 h (.f64 M M))
(*.f64 M M)
M
(.f64 d (.f64 d l))
(*.f64 d l)
l
(.f64 #s(literal -1/8 binary64) (.f64 D D))
#s(literal -1/8 binary64)
(*.f64 D D)
D
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 l))
(neg.f64 l)

Outputs
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 M (/.f64 (.f64 D #s(literal -1/4 binary64)) d)) (/.f64 (.f64 h (.f64 M D)) (.f64 l (.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (.f64 M (/.f64 (.f64 D #s(literal -1/4 binary64)) d)) (/.f64 (.f64 h (.f64 M D)) (.f64 l (.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d l)) (.f64 h (.f64 M D))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (*.f64 d l))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))
(.f64 M (.f64 D #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 M D))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 h (.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
(/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l))))
d
(sqrt.f64 (*.f64 h (neg.f64 l)))
(*.f64 h (neg.f64 l))
h
(neg.f64 l)
l
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
(*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l)))
d
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) h))
(/.f64 #s(literal -1 binary64) h)
#s(literal -1 binary64)
h
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
l
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (fma.f64 d (.f64 (.f64 M D) (.f64 (/.f64 (.f64 h (.f64 M D)) (.f64 d (.f64 d l))) #s(literal -1/8 binary64))) d) (sqrt.f64 (.f64 h l)))
(.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d)
(fma.f64 d (.f64 (.f64 M D) (.f64 (/.f64 (.f64 h (.f64 M D)) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64))) d)
(fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (.f64 (/.f64 (.f64 h (.f64 M D)) (.f64 d (.f64 d l))) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(*.f64 M D)
M
D
(.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))))
(.f64 (/.f64 (.f64 h (.f64 M D)) (.f64 d (*.f64 d l))) #s(literal -1/8 binary64))
(/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))
(.f64 h (/.f64 #s(literal -1/8 binary64) (.f64 d (*.f64 d l))))
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))
(.f64 d (.f64 l (*.f64 d #s(literal 4 binary64))))
l
(.f64 d (.f64 d #s(literal 4 binary64)))
d
(*.f64 d #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 D (.f64 D #s(literal -1/8 binary64))))) (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (neg.f64 d)))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d)))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 D (.f64 D #s(literal -1/8 binary64))))) (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (neg.f64 d))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 D (*.f64 D #s(literal -1/8 binary64))))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
#s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))
#s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 D (*.f64 D #s(literal -1/8 binary64)))))
(.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))
(.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 D (*.f64 D #s(literal -1/8 binary64))))
(/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l)))
(.f64 h (.f64 M M))
(*.f64 M M)
M
(.f64 d (.f64 d l))
(*.f64 d l)
l
(.f64 #s(literal -1/8 binary64) (.f64 D D))
(.f64 D (.f64 D #s(literal -1/8 binary64)))
#s(literal -1/8 binary64)
(*.f64 D D)
D
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 l))
(neg.f64 l)

localize333.0ms (1.4%)

Memory

-15.1MiB live, 388.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0	(sqrt.f64 (neg.f64 d))
accuracy	0	(neg.f64 l)
accuracy	0	(neg.f64 d)
accuracy	0	#s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))
accuracy	0	(.f64 d (.f64 d #s(literal 4 binary64)))
accuracy	0	(*.f64 d #s(literal 4 binary64))
accuracy	0	(*.f64 M D)
accuracy	0	(sqrt.f64 (*.f64 h l))
accuracy	0	(sqrt.f64 (/.f64 #s(literal -1 binary64) h))
accuracy	0	(sqrt.f64 (neg.f64 l))
accuracy	0	(neg.f64 l)
accuracy	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
accuracy	0	(*.f64 h (neg.f64 l))
accuracy	0	(sqrt.f64 (*.f64 h (neg.f64 l)))
accuracy	0	(neg.f64 l)
accuracy	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
accuracy	0	(*.f64 M D)
accuracy	0	(*.f64 D #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 (/.f64 d l))
accuracy	0	(sqrt.f64 (/.f64 d h))

Samples

169.0ms

256×

invalid

Compiler

Compiled 616 to 85 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 53.0ms (43.2% of total)

ival-div: 26.0ms (21.2% of total)

ival-pow: 14.0ms (11.4% of total)

ival-add: 11.0ms (9% of total)

ival-sqrt: 10.0ms (8.1% of total)

ival-pow2: 3.0ms (2.4% of total)

ival-sub: 2.0ms (1.6% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series87.0ms (0.4%)

Memory

-6.3MiB live, 187.6MiB allocated

Counts

31 → 1 104

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) (patch (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) (patch (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (neg.f64 l))))) (patch #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l))))) #<representation binary64>) () ())
#s(alt (/.f64 d (sqrt.f64 (.f64 h (neg.f64 l)))) (patch (/.f64 d (sqrt.f64 (.f64 h (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 h (neg.f64 l))) (patch (sqrt.f64 (.f64 h (neg.f64 l))) #<representation binary64>) () ())
#s(alt (.f64 h (neg.f64 l)) (patch (.f64 h (neg.f64 l)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) (patch #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) #<representation binary64>) () ())
#s(alt (.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))) (patch (.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (patch (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) (patch (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l))) (patch (/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (patch (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (patch (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D))))) (sqrt.f64 (neg.f64 d))) (patch (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D))))) (patch (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())
#s(alt (.f64 D #s(literal 1/2 binary64)) (patch (.f64 D #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 M D) (patch (.f64 M D) #<representation binary64>) () ())
#s(alt (neg.f64 l) (patch (neg.f64 l) #<representation binary64>) () ())
#s(alt (sqrt.f64 (neg.f64 l)) (patch (sqrt.f64 (neg.f64 l)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 h l)) (patch (sqrt.f64 (.f64 h l)) #<representation binary64>) () ())
#s(alt (.f64 d #s(literal 4 binary64)) (patch (.f64 d #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 d (.f64 d #s(literal 4 binary64))) (patch (.f64 d (.f64 d #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())
#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) (taylor inf h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) (taylor inf h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) (taylor inf h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) (taylor -inf h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) (taylor -inf h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) (taylor -inf h) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) (taylor 0 l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) (taylor 0 l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) (taylor 0 l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor inf l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor inf l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor inf l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf l) (#s(alt #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (patch #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor 0 d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor 0 d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor 0 d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor 0 d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ())
#s(alt (* (sqrt d) (sqrt -1)) (taylor 0 d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt d) (sqrt -1)) (taylor 0 d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt d) (sqrt -1)) (taylor 0 d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt d) (sqrt -1)) (taylor 0 d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt d) (sqrt -1)) (taylor inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt d) (sqrt -1)) (taylor inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt d) (sqrt -1)) (taylor inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt d) (sqrt -1)) (taylor inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (sqrt -1))) (taylor -inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (sqrt -1))) (taylor -inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (sqrt -1))) (taylor -inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (sqrt -1))) (taylor -inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())

Calls

276 calls:

Time	Variable		Point	Expression
5.0ms	h	@	-inf	(/ (sqrt (/ -1 h)) (sqrt (neg l)))
1.0ms	d	@	inf	(/ d (sqrt (* h (neg l))))
1.0ms	h	@	0	(/ (* h -1/2) (* l (* d (* d 4))))
1.0ms	l	@	0	(/ (* h -1/2) (* l (* d (* d 4))))
1.0ms	d	@	0	(/ d (sqrt (* h (neg l))))

simplify270.0ms (1.1%)

Memory

27.5MiB live, 414.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 422×	`lower-*.f64`
6 422×	`lower-*.f32`
4 184×	`lower-fma.f64`
4 184×	`lower-fma.f32`
4 008×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	16909
1	1175	16475
2	4294	16398
3	7454	16389
0	8020	15960

Stop Event

1×	iter limit
1×	node limit

Counts

1 104 → 1 097

Calls

Call 1

Inputs
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
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(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(sqrt (/ d h))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(sqrt (/ d h))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* (sqrt l) (sqrt -1))
(* (sqrt l) (sqrt -1))
(* (sqrt l) (sqrt -1))
(* (sqrt l) (sqrt -1))
(* (sqrt l) (sqrt -1))
(* (sqrt l) (sqrt -1))
(* (sqrt l) (sqrt -1))
(* (sqrt l) (sqrt -1))
(* -1 (* (sqrt l) (sqrt -1)))
(* -1 (* (sqrt l) (sqrt -1)))
(* -1 (* (sqrt l) (sqrt -1)))
(* -1 (* (sqrt l) (sqrt -1)))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* 4 d)
(* 4 d)
(* 4 d)
(* 4 d)
(* 4 d)
(* 4 d)
(* 4 d)
(* 4 d)
(* 4 d)
(* 4 d)
(* 4 d)
(* 4 d)
(* 4 (pow d 2))
(* 4 (pow d 2))
(* 4 (pow d 2))
(* 4 (pow d 2))
(* 4 (pow d 2))
(* 4 (pow d 2))
(* 4 (pow d 2))
(* 4 (pow d 2))
(* 4 (pow d 2))
(* 4 (pow d 2))
(* 4 (pow d 2))
(* 4 (pow d 2))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
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(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
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(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
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(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* -1 (* (sqrt d) (sqrt -1)))
(* -1 (* (sqrt d) (sqrt -1)))
(* -1 (* (sqrt d) (sqrt -1)))
(* -1 (* (sqrt d) (sqrt -1)))

Outputs
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
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(/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d (*.f64 d l)))
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 d)))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 d)))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 d)))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 d)))

rewrite270.0ms (1.1%)

Memory

11.3MiB live, 409.6MiB allocated

Rules

4 790×	`lower-*.f32`
4 744×	`lower-*.f64`
3 472×	`lower-/.f32`
3 444×	`lower-/.f64`
2 710×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	470
0	136	468
1	472	418
2	3821	409
0	8497	399

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

31 → 767

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
(/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l))))
(sqrt.f64 (*.f64 h (neg.f64 l)))
(*.f64 h (neg.f64 l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) h))
(/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d)
(fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d)))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D)))))
(sqrt.f64 (/.f64 d h))
(sqrt.f64 (/.f64 d l))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 M D)
(neg.f64 l)
(sqrt.f64 (neg.f64 l))
(sqrt.f64 (*.f64 h l))
(*.f64 d #s(literal 4 binary64))
(.f64 d (.f64 d #s(literal 4 binary64)))
#s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))
(neg.f64 d)
(sqrt.f64 (neg.f64 d))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))) (neg.f64 (log.f64 h))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) h)) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)))) (/.f64 (.f64 M D) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(neg.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) d) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 M D) (.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 h (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 d h))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)))))
(/.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) d) (/.f64 #s(literal -1 binary64) h))
(/.f64 (neg.f64 (.f64 M D)) (neg.f64 (.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 M D) d) (.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 d h))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 M D)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d)
(/.f64 (.f64 (/.f64 (.f64 M D) d) h) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) h)) (.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)) (.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 M (/.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(.f64 M (.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h))
(.f64 M (/.f64 D (.f64 (/.f64 d h) #s(literal 2 binary64))))
(.f64 D (/.f64 M (.f64 (/.f64 d h) #s(literal 2 binary64))))
(.f64 (.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) h)
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))))
(.f64 h (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (neg.f64 h))
(.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal 1/2 binary64)) h))
(.f64 (/.f64 M d) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (.f64 d #s(literal 2 binary64))))
(.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (.f64 d #s(literal 2 binary64))))
(.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 M d) #s(literal 1 binary64)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 h))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D (.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 M d)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 D #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (neg.f64 (.f64 M D))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 M D) d)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 l (.f64 (/.f64 d (.f64 M D)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d l) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 l (.f64 d #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 d l) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d l) #s(literal 2 binary64))))
(neg.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d l) #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) l))
(/.f64 #s(literal 1 binary64) (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 M (.f64 D #s(literal 1/2 binary64)))))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) l)
(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 l (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 d l) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) (neg.f64 l))
(/.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (/.f64 d (.f64 M D)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 d l) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) #s(literal 1 binary64)) l)
(/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 d #s(literal -2 binary64)) l))
(/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) l)) (.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l)) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) l)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) l) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) #s(literal -1 binary64)) l)
(pow.f64 (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 l (.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 M (.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(.f64 M (.f64 (/.f64 (*.f64 D #s(literal 1/4 binary64)) d) (/.f64 #s(literal 1 binary64) l)))
(.f64 M (/.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (.f64 d l) #s(literal 2 binary64))))
(.f64 M (/.f64 (/.f64 (.f64 D #s(literal 1/4 binary64)) d) l))
(.f64 (.f64 M D) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 d l) #s(literal 2 binary64))))
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(.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 M (.f64 (.f64 d l) #s(literal 2 binary64))))
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 d) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 d d) (.f64 #s(literal 0 binary64) (neg.f64 d)))))
(*.f64 d #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) d)
(exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)))
(sqrt.f64 (neg.f64 d))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 d (.f64 d d)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d))) (sqrt.f64 (+.f64 #s(literal 0 binary64) d)))
(pow.f64 (*.f64 d d) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 d) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 d))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 d) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)))

eval266.0ms (1.1%)

Memory: 33.5MiB live, 442.6MiB allocated
Compiler: Compiled 61 004 to 3 348 computations (94.5% saved)

prune474.0ms (1.9%)

Memory

-43.0MiB live, 822.7MiB allocated

Pruning

73 alts after pruning (70 fresh and 3 done)

	Pruned	Kept	Total
New	2 009	33	2 042
Fresh	23	37	60
Picked	4	1	5
Done	1	2	3
Total	2 037	73	2 110

Accuracy

96.6%

Counts

2 110 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.4%	(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
	34.6%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
	40.3%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	33.5%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
	31.8%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
	33.4%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	35.1%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	40.5%	(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	38.9%	(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
	39.5%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	42.7%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
	35.0%	(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
	33.7%	(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
	34.1%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
	32.0%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
	33.0%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (.f64 (sqrt.f64 l) (sqrt.f64 h)))
	34.1%	(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	15.7%	(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	34.1%	(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	27.7%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	10.5%	(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (*.f64 d l))))) (sqrt.f64 (neg.f64 l)))
	3.0%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	13.8%	(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 D (.f64 D (/.f64 (neg.f64 (*.f64 M M)) l)))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	36.0%	(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
	17.0%	(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
	19.3%	(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
	38.1%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	10.5%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) (.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d)))))
	63.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	68.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 l (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	48.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	65.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d l) #s(literal 2 binary64))) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)))
	48.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 h l)) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) #s(literal 1 binary64)))
	66.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
	12.6%	(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
	35.1%	(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
	15.3%	#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
	17.1%	#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l)))
	18.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
	27.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
	28.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
	17.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	29.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	19.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
	19.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
	26.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
	10.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
✓	5.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
✓	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	40.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 (neg.f64 h))) #s(literal 1/2 binary64))) (sqrt.f64 (neg.f64 l)))))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
✓	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
	21.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	2.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (neg.f64 h))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (neg.f64 l)) #s(literal 1/2 binary64))))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))

Compiler

Compiled 5 861 to 1 922 computations (67.2% saved)

regimes482.0ms (2%)

Memory

15.4MiB live, 525.5MiB allocated

Counts

152 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
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(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
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(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
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(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
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(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
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(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
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(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (neg.f64 h))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (neg.f64 l)) #s(literal 1/2 binary64))))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 M #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 D d)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 M D)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 l (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

Outputs

(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 (*.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

Calls

7 calls:

91.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
88.0ms	l
70.0ms	d
70.0ms	D
64.0ms	M

Results

Accuracy	Segments	Branch
82.9%	3	`d`
82.8%	3	`h`
81.2%	2	`l`
69.8%	1	`M`
69.8%	1	`D`
75.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
69.8%	1	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes179.0ms (0.7%)

Memory

16.2MiB live, 211.4MiB allocated

Counts

129 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
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(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 d (*.f64 d #s(literal 4 binary64)))))) (/.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 (exp.f64 (.f64 (neg.f64 (log.f64 (neg.f64 h))) #s(literal 1/2 binary64))) (sqrt.f64 (neg.f64 l)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

Outputs

(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 (*.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Calls

3 calls:

72.0ms	h
56.0ms	d
43.0ms	l

Results

Accuracy	Segments	Branch
80.8%	2	`l`
82.4%	3	`h`
82.5%	3	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes137.0ms (0.6%)

Memory

-5.2MiB live, 276.4MiB allocated

Counts

125 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
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(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
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(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
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(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D (.f64 D (/.f64 h (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 M M)) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (*.f64 d l))))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d)))) (*.f64 l l)))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l)))
(.f64 (.f64 (fma.f64 M (.f64 (.f64 M (.f64 D D)) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 h l)) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) #s(literal 1 binary64)))
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(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(approx (sqrt (/ (* d d) (* h l))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d l) #s(literal 2 binary64))) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l (.f64 h h)) h))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (/.f64 M (*.f64 d d))))) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) l) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 h)) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (/.f64 (.f64 M D) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

3 calls:

46.0ms	h
43.0ms	d
39.0ms	l

Results

Accuracy	Segments	Branch
77.8%	2	`l`
77.8%	2	`h`
83.3%	5	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes178.0ms (0.7%)

Memory

-5.0MiB live, 308.2MiB allocated

Counts

121 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D (.f64 D (/.f64 h (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 M M)) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (*.f64 d l))))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d)))) (*.f64 l l)))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l)))
(.f64 (.f64 (fma.f64 M (.f64 (.f64 M (.f64 D D)) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 h l)) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) (.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d)))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 D (.f64 D (/.f64 (neg.f64 (*.f64 M M)) l)))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 (neg.f64 M) M) l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(approx (sqrt (/ (* d d) (* h l))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d l) #s(literal 2 binary64))) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l (.f64 h h)) h))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (/.f64 M (*.f64 d d))))) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) l) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 h)) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (/.f64 (.f64 M D) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))

Outputs
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

3 calls:

71.0ms	l
55.0ms	h
44.0ms	d

Results

Accuracy	Segments	Branch
76.1%	3	`h`
74.3%	2	`l`
80.6%	5	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes45.0ms (0.2%)

Memory

31.9MiB live, 109.6MiB allocated

Counts

119 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
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(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l (.f64 h h)) h))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (/.f64 M (*.f64 d d))))) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) l) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 h)) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))) (/.f64 (.f64 M D) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))

Outputs
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
80.6%	5	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes77.0ms (0.3%)

Memory

-43.2MiB live, 132.2MiB allocated

Counts

107 → 6

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D (.f64 D (/.f64 h (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 M M)) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (*.f64 d l))))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d)))) (*.f64 l l)))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l)))
(.f64 (.f64 (fma.f64 M (.f64 (.f64 M (.f64 D D)) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 h l)) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) (.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d)))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 D (.f64 D (/.f64 (neg.f64 (*.f64 M M)) l)))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 (neg.f64 M) M) l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(approx (sqrt (/ (* d d) (* h l))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d l) #s(literal 2 binary64))) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l (.f64 h h)) h))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (/.f64 M (*.f64 d d))))) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

2 calls:

33.0ms

29.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
73.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
80.9%	6	`d`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes103.0ms (0.4%)

Memory

32.1MiB live, 226.5MiB allocated

Counts

106 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
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(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 (neg.f64 M) M) l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(approx (sqrt (/ (* d d) (* h l))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d l) #s(literal 2 binary64))) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l (.f64 h h)) h))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 (.f64 l l) h)))))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (/.f64 M (*.f64 d d))))) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))

Outputs
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

3 calls:

33.0ms	l
32.0ms	h
31.0ms	d

Results

Accuracy	Segments	Branch
72.4%	3	`l`
72.0%	3	`h`
76.5%	4	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes37.0ms (0.2%)

Memory

-35.1MiB live, 87.1MiB allocated

Counts

100 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D (.f64 D (/.f64 h (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 M M)) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (*.f64 d l))))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d)))) (*.f64 l l)))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l)))
(.f64 (.f64 (fma.f64 M (.f64 (.f64 M (.f64 D D)) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 h l)) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) (.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d)))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 D (.f64 D (/.f64 (neg.f64 (*.f64 M M)) l)))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 (neg.f64 M) M) l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 h (/.f64 (.f64 M (.f64 M (.f64 D D))) l)) (.f64 d d)) (.f64 d d)))))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(approx (sqrt (/ (* d d) (* h l))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (.f64 h (.f64 M M)) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) d) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d l) #s(literal 2 binary64))) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
77.8%	5	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes64.0ms (0.3%)

Memory

18.8MiB live, 57.2MiB allocated

Counts

99 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
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(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

1 calls:

58.0ms

Results

Accuracy	Segments	Branch
77.8%	5	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes61.0ms (0.3%)

Memory

-10.4MiB live, 107.8MiB allocated

Counts

89 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D (.f64 D (/.f64 h (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 M M)) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (*.f64 d l))))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d)))) (*.f64 l l)))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l)))
(.f64 (.f64 (fma.f64 M (.f64 (.f64 M (.f64 D D)) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 h l)) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) (.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (sqrt.f64 (.f64 (/.f64 d h) (neg.f64 d)))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 D (.f64 D (/.f64 (neg.f64 (*.f64 M M)) l)))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (sqrt.f64 (/.f64 h (.f64 d (.f64 d d)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 (neg.f64 M) M) l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

2 calls:

28.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

27.0ms

Results

Accuracy	Segments	Branch
68.4%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
76.3%	5	`d`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes144.0ms (0.6%)

Memory

4.5MiB live, 179.0MiB allocated

Counts

84 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D (.f64 D (/.f64 h (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 M M)) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (*.f64 d l))))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d)))) (*.f64 l l)))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l)))
(.f64 (.f64 (fma.f64 M (.f64 (.f64 M (.f64 D D)) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 h l)) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) #s(literal 1 binary64)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 h l)) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

4 calls:

52.0ms	(*.f64 M D)
35.0ms	M
26.0ms	d
25.0ms	D

Results

Accuracy	Segments	Branch
58.8%	3	`(*.f64 M D)`
59.5%	4	`M`
56.9%	4	`D`
75.9%	5	`d`

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes89.0ms (0.4%)

Memory

-7.7MiB live, 145.7MiB allocated

Counts

83 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D (.f64 D (/.f64 h (.f64 d (.f64 d l))))) (.f64 #s(literal -1/8 binary64) (.f64 M M)) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (*.f64 d l))))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (fma.f64 d (sqrt.f64 (.f64 l (/.f64 (.f64 l l) h))) (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d)))) (*.f64 l l)))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l)))
(.f64 (.f64 (fma.f64 M (.f64 (.f64 M (.f64 D D)) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (/.f64 (.f64 d (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

3 calls:

31.0ms	h
28.0ms	l
25.0ms	d

Results

Accuracy	Segments	Branch
67.5%	3	`h`
64.4%	3	`l`
74.9%	5	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes47.0ms (0.2%)

Memory

4.7MiB live, 39.3MiB allocated

Counts

75 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) d) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

1 calls:

42.0ms

Results

Accuracy	Segments	Branch
73.1%	4	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes45.0ms (0.2%)

Memory

1.1MiB live, 34.8MiB allocated

Counts

73 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (.f64 (sqrt.f64 l) (sqrt.f64 h)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

1 calls:

40.0ms

Results

Accuracy	Segments	Branch
72.6%	4	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes28.0ms (0.1%)

Memory

15.5MiB live, 49.6MiB allocated

Counts

70 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
71.6%	4	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes29.0ms (0.1%)

Memory

-5.7MiB live, 49.6MiB allocated

Counts

69 → 6

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
74.3%	6	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes96.0ms (0.4%)

Memory

-6.7MiB live, 98.3MiB allocated

Counts

68 → 5

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))

Calls

3 calls:

36.0ms

33.0ms

17.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
59.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
65.1%	3	`h`
69.2%	5	`d`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes28.0ms (0.1%)

Memory

-3.8MiB live, 44.8MiB allocated

Counts

67 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (.f64 d d)) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) d) (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))

(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (*.f64 h l)))

(/.f64 (*.f64 (fma.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (*.f64 d (*.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
65.9%	3	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes75.0ms (0.3%)

Memory

29.3MiB live, 101.6MiB allocated

Counts

64 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d l) #s(literal 2 binary64)) (.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64)))))) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

3 calls:

20.0ms	d
19.0ms	l
19.0ms	h

Results

Accuracy	Segments	Branch
64.3%	5	`l`
62.1%	3	`h`
65.5%	4	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes33.0ms (0.1%)

Memory

0.2MiB live, 36.8MiB allocated

Counts

62 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 (.f64 M M) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 h (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 h (.f64 D D)) (.f64 d l)) (/.f64 d (.f64 M M))))) (sqrt.f64 (*.f64 h l)))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) d) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 l d) (.f64 d #s(literal 4 binary64))))) d) (sqrt.f64 (.f64 h l)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) (.f64 M D) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
63.8%	4	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes28.0ms (0.1%)

Memory

-28.8MiB live, 25.3MiB allocated

Counts

56 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (fma.f64 D (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M (.f64 M D)) (.f64 D (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(.f64 d (/.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 l (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l))))

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
63.8%	4	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes39.0ms (0.2%)

Memory

-1.6MiB live, 72.8MiB allocated

Counts

52 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))

Calls

2 calls:

19.0ms	d
15.0ms	h

Results

Accuracy	Segments	Branch
61.3%	3	`h`
63.1%	4	`d`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes59.0ms (0.2%)

Memory

19.5MiB live, 101.5MiB allocated

Counts

50 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (.f64 #s(literal -1/8 binary64) (/.f64 h (.f64 d (.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (.f64 h (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) (.f64 d l)) (/.f64 d h)))) (sqrt.f64 (.f64 h l)))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (/.f64 (.f64 h (.f64 M M)) d))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l)))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))

#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)))))

(/.f64 (*.f64 (fma.f64 (*.f64 M D) (*.f64 (*.f64 M D) #s(approx (/ (* h -1/2) (* l (* d (* d 4)))) (*.f64 #s(literal -1/8 binary64) (/.f64 h (*.f64 d (*.f64 d l)))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))

Calls

3 calls:

21.0ms	l
19.0ms	h
15.0ms	d

Results

Accuracy	Segments	Branch
61.3%	4	`l`
61.6%	4	`h`
60.5%	3	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes103.0ms (0.4%)

Memory

-15.3MiB live, 214.9MiB allocated

Counts

47 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(/.f64 (.f64 #s(approx (+ 1 (/ ( (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))) d) (sqrt.f64 (*.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))

Calls

6 calls:

21.0ms	(*.f64 M D)
17.0ms	d
16.0ms	l
16.0ms	h
16.0ms	M

Results

Accuracy	Segments	Branch
53.1%	4	`M`
50.0%	2	`(*.f64 M D)`
54.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
57.7%	4	`l`
55.0%	3	`h`
55.8%	3	`d`

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes76.0ms (0.3%)

Memory

21.3MiB live, 219.2MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 M M) (.f64 h (.f64 #s(literal -1/8 binary64) (.f64 D D)))) (.f64 d (.f64 d l)))) (/.f64 d (sqrt.f64 (.f64 h l))))

Outputs

#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))

(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d l))) (sqrt.f64 (*.f64 h l)))

Calls

5 calls:

17.0ms	d
14.0ms	h
14.0ms	l
14.0ms	D
13.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
54.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
53.2%	3	`h`
45.7%	2	`D`
55.5%	4	`d`
52.1%	3	`l`

Compiler

Compiled 64 to 42 computations (34.4% saved)

regimes37.0ms (0.2%)

Memory

-7.9MiB live, 79.6MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))
(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))
(/.f64 #s(approx (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d l))) (sqrt.f64 (*.f64 h l)))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))

(/.f64 #s(approx (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d l))) (sqrt.f64 (*.f64 h l)))

Calls

2 calls:

19.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

15.0ms

Results

Accuracy	Segments	Branch
54.3%	4	`d`
53.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes16.0ms (0.1%)

Memory

-8.7MiB live, 28.0MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)))))
#s(approx (/ (* (+ 1 (/ (* (* D (* M (* M D))) (* h -1/2)) (* (* d (* d 4)) l))) d) (sqrt (* h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (/.f64 (*.f64 M M) d))))
#s(approx (/ (* (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (sqrt (* h l))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d))))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))

Calls

1 calls:

13.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
53.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes25.0ms (0.1%)

Memory

22.1MiB live, 61.1MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))

Calls

2 calls:

12.0ms

10.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
48.6%	2	`h`
52.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes62.0ms (0.3%)

Memory

-22.1MiB live, 137.7MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 h l)) (sqrt.f64 (.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 l l)) (+.f64 #s(literal 0 binary64) l))))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))

Calls

5 calls:

13.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
12.0ms	d
12.0ms	M
11.0ms	(*.f64 M D)
11.0ms	l

Results

Accuracy	Segments	Branch
43.5%	2	`M`
46.1%	3	`(*.f64 M D)`
50.9%	3	`l`
48.7%	2	`d`
49.2%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes9.0ms (0%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d (.f64 h l))) (sqrt.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
49.0%	2	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes19.0ms (0.1%)

Memory

2.6MiB live, 45.1MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Calls

5 calls:

5.0ms	d
3.0ms	l
3.0ms	h
3.0ms	D
3.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
36.8%	2	`D`
37.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
44.6%	2	`h`
44.7%	2	`d`
45.0%	2	`l`

Compiler

Compiled 64 to 42 computations (34.4% saved)

regimes15.0ms (0.1%)

Memory

0.4MiB live, 39.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Calls

5 calls:

3.0ms	l
3.0ms	M
3.0ms	h
3.0ms	d
3.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
33.3%	2	`M`
35.7%	3	`(*.f64 M D)`
37.9%	2	`h`
38.0%	2	`d`
38.3%	2	`l`

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes13.0ms (0.1%)

Memory

-8.3MiB live, 30.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l)))))

Calls

7 calls:

2.0ms	d
2.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms	l
2.0ms	h
2.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
25.8%	1	`M`
27.8%	2	`(*.f64 M D)`
27.6%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
25.8%	1	`D`
25.8%	1	`h`
25.8%	1	`d`
25.8%	1	`l`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes45.0ms (0.2%)

Memory

-23.2MiB live, 15.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Calls

6 calls:

38.0ms	d
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	l
1.0ms	M
1.0ms	h

Results

Accuracy	Segments	Branch
25.8%	1	`d`
25.8%	1	`h`
25.8%	1	`l`
25.8%	1	`M`
25.8%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
25.8%	1	`(*.f64 M D)`

Compiler

Compiled 72 to 48 computations (33.3% saved)

bsearch121.0ms (0.5%)

Memory

-4.4MiB live, 199.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-2.2673556961017437e-307	4.11599036703155e-309
60.0ms	-8.995431996146543e-193	-1.428779623733335e-201

Samples

45.0ms	256×	0	valid
38.0ms	312×	0	invalid

Compiler

Compiled 1 314 to 855 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 23.0ms (36.3% of total)

ival-mult: 19.0ms (30% of total)

ival-pow: 12.0ms (18.9% of total)

ival-pow2: 6.0ms (9.5% of total)

ival-sub: 3.0ms (4.7% of total)

exact: 1.0ms (1.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
1.0ms	-8.995431996146543e-193	-1.428779623733335e-201

Compiler

Compiled 1 258 to 827 computations (34.3% saved)

bsearch94.0ms (0.4%)

Memory

10.8MiB live, 87.0MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.3857926865740982e+122	8.095756334391887e+122
49.0ms	1.7099551568624227e-133	1.435429175234e-132
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
1.0ms	-8.995431996146543e-193	-1.428779623733335e-201

Samples

49.0ms	192×	0	valid
24.0ms	146×	0	invalid

Compiler

Compiled 2 091 to 1 337 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 37.0ms (60.6% of total)

ival-mult: 10.0ms (16.4% of total)

ival-pow: 8.0ms (13.1% of total)

ival-pow2: 3.0ms (4.9% of total)

ival-sub: 2.0ms (3.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch111.0ms (0.5%)

Memory

20.5MiB live, 100.0MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2040620541656713e+122	1.3857926865740982e+122
1.0ms	1.7099551568624227e-133	1.435429175234e-132
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
86.0ms	-2.954537472429308e-206	-1.0501731782377877e-225

Samples

51.0ms	208×	0	valid
33.0ms	238×	0	invalid

Compiler

Compiled 1 890 to 1 227 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-pow2: 23.0ms (33.6% of total)

ival-div: 20.0ms (29.2% of total)

ival-mult: 14.0ms (20.4% of total)

ival-pow: 9.0ms (13.1% of total)

ival-sub: 2.0ms (2.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch132.0ms (0.5%)

Memory

1.6MiB live, 77.0MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
53.0ms	1.0071125663500925e+101	3.712360288926269e+101
69.0ms	1.7099551568624227e-133	1.435429175234e-132
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
2.0ms	-2.954537472429308e-206	-1.0501731782377877e-225

Samples

65.0ms	160×	0	valid
45.0ms	179×	0	invalid

Compiler

Compiled 2 096 to 1 371 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 52.0ms (52.9% of total)

ival-mult: 34.0ms (34.6% of total)

ival-pow: 7.0ms (7.1% of total)

ival-pow2: 3.0ms (3.1% of total)

ival-sub: 2.0ms (2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch331.0ms (1.4%)

Memory

-18.3MiB live, 214.3MiB allocated

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0071125663500925e+101	3.712360288926269e+101
22.0ms	1.7099551568624227e-133	1.435429175234e-132
95.0ms	1.7893369675507965e-307	6.083452090745224e-301
80.0ms	-9.582122111751353e-185	-8.995431996146543e-193
77.0ms	-1.3429545464253693e+227	-5.799502953624068e+224

Samples

134.0ms	501×	0	invalid
107.0ms	464×	0	valid

Compiler

Compiled 2 502 to 1 634 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-div: 58.0ms (43.5% of total)

ival-mult: 30.0ms (22.5% of total)

ival-pow: 29.0ms (21.7% of total)

ival-pow2: 9.0ms (6.7% of total)

ival-sub: 4.0ms (3% of total)

ival-true: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

bsearch290.0ms (1.2%)

Memory

5.3MiB live, 289.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
91.0ms	2.7940724475321155e+79	4.540993711243472e+87
96.0ms	6.083452090745224e-301	2.7601470167690997e-283
81.0ms	-2.88969261723944e-153	-3.718414620583447e-157

Samples

105.0ms	485×	0	invalid
69.0ms	432×	0	valid

Compiler

Compiled 1 910 to 1 259 computations (34.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-div: 42.0ms (39.4% of total)

ival-mult: 29.0ms (27.2% of total)

ival-pow: 20.0ms (18.8% of total)

ival-pow2: 9.0ms (8.4% of total)

ival-sub: 4.0ms (3.8% of total)

ival-true: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-assert: 0.0ms (0% of total)

bsearch77.0ms (0.3%)

Memory

7.6MiB live, 162.6MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7940724475321155e+79	4.540993711243472e+87
1.0ms	6.083452090745224e-301	2.7601470167690997e-283
29.0ms	-6.049721769809598e-149	-2.944559331423708e-149
37.0ms	-3.1493246620296783e+159	-2.7575586162815e+158

Samples

31.0ms	176×	0	valid
23.0ms	173×	0	invalid

Compiler

Compiled 1 991 to 1 316 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 14.0ms (34.2% of total)

ival-div: 13.0ms (31.8% of total)

ival-pow: 8.0ms (19.6% of total)

ival-pow2: 4.0ms (9.8% of total)

ival-sub: 2.0ms (4.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch79.0ms (0.3%)

Memory

16.8MiB live, 160.6MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7940724475321155e+79	4.540993711243472e+87
1.0ms	6.083452090745224e-301	2.7601470167690997e-283
18.0ms	-6.049721769809598e-149	-2.944559331423708e-149
48.0ms	-1.6740585150898331e+161	-3.1493246620296783e+159

Samples

31.0ms	160×	0	valid
21.0ms	150×	0	invalid

Compiler

Compiled 2 043 to 1 352 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 14.0ms (33.5% of total)

ival-div: 10.0ms (23.9% of total)

ival-pow2: 9.0ms (21.5% of total)

ival-pow: 7.0ms (16.7% of total)

ival-sub: 1.0ms (2.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch59.0ms (0.2%)

Memory

-7.7MiB live, 121.0MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	2.7940724475321155e+79	4.540993711243472e+87
1.0ms	6.083452090745224e-301	2.7601470167690997e-283
47.0ms	-1.0982352241994897e-115	-1.1900789823621445e-117
1.0ms	-1.6740585150898331e+161	-3.1493246620296783e+159

Samples

22.0ms	119×	0	invalid
17.0ms	112×	0	valid

Compiler

Compiled 2 195 to 1 456 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 8.0ms (30.8% of total)

ival-mult: 7.0ms (26.9% of total)

ival-pow: 5.0ms (19.2% of total)

ival-sub: 4.0ms (15.4% of total)

ival-pow2: 2.0ms (7.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch78.0ms (0.3%)

Memory

-15.8MiB live, 154.0MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7940724475321155e+79	4.540993711243472e+87
1.0ms	6.083452090745224e-301	2.7601470167690997e-283
66.0ms	-2.8742368177901263e-126	-2.0206661155670942e-131
1.0ms	-1.6740585150898331e+161	-3.1493246620296783e+159

Samples

31.0ms	144×	0	valid
25.0ms	157×	0	invalid

Compiler

Compiled 2 287 to 1 500 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 18.0ms (46.4% of total)

ival-mult: 9.0ms (23.2% of total)

ival-pow: 6.0ms (15.5% of total)

ival-pow2: 3.0ms (7.7% of total)

ival-sub: 1.0ms (2.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch100.0ms (0.4%)

Memory

6.2MiB live, 246.6MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7940724475321155e+79	4.540993711243472e+87
1.0ms	6.083452090745224e-301	2.7601470167690997e-283
37.0ms	-2.059763849219243e-124	-2.8742368177901263e-126
48.0ms	-2.7575586162815e+158	-4.6674508495270455e+152

Samples

44.0ms	256×	0	valid
25.0ms	215×	0	invalid

Compiler

Compiled 2 269 to 1 482 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 17.0ms (32.3% of total)

ival-mult: 15.0ms (28.5% of total)

ival-pow: 11.0ms (20.9% of total)

ival-pow2: 6.0ms (11.4% of total)

ival-sub: 3.0ms (5.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7893369675507965e-307	6.083452090745224e-301
1.0ms	-2.059763849219243e-124	-2.8742368177901263e-126
1.0ms	-2.7575586162815e+158	-4.6674508495270455e+152

Compiler

Compiled 1 590 to 1 024 computations (35.6% saved)

bsearch3.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
1.0ms	-2.059763849219243e-124	-2.8742368177901263e-126
1.0ms	-2.7575586162815e+158	-4.6674508495270455e+152

Compiler

Compiled 1 482 to 966 computations (34.8% saved)

bsearch91.0ms (0.4%)

Memory

-25.1MiB live, 92.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-2.2673556961017437e-307	4.11599036703155e-309
49.0ms	-2.8742368177901263e-126	-2.0206661155670942e-131
4.0ms	-2.7575586162815e+158	-4.6674508495270455e+152

Samples

26.0ms	116×	0	invalid
15.0ms	96×	0	valid

Compiler

Compiled 1 606 to 1 056 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 7.0ms (32.5% of total)

ival-mult: 7.0ms (32.5% of total)

ival-pow: 4.0ms (18.6% of total)

ival-pow2: 2.0ms (9.3% of total)

ival-sub: 1.0ms (4.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.1%)

Memory

26.0MiB live, 66.5MiB allocated

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3857926865740982e+122	8.095756334391887e+122
27.0ms	8.099807691269365e-50	3.027805906889516e-49
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
1.0ms	-2.8742368177901263e-126	-2.0206661155670942e-131
1.0ms	-2.7575586162815e+158	-4.6674508495270455e+152

Samples

12.0ms	80×	0	valid
7.0ms	62×	0	invalid

Compiler

Compiled 2 293 to 1 492 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 5.0ms (33.4% of total)

ival-mult: 5.0ms (33.4% of total)

ival-pow: 3.0ms (20% of total)

ival-pow2: 2.0ms (13.4% of total)

ival-sub: 1.0ms (6.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch70.0ms (0.3%)

Memory

-26.3MiB live, 87.8MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3857926865740982e+122	8.095756334391887e+122
1.0ms	8.099807691269365e-50	3.027805906889516e-49
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
48.0ms	-6.642274261183744e-41	-7.232558575471852e-45

Samples

22.0ms	128×	0	valid
18.0ms	126×	0	invalid

Compiler

Compiled 1 613 to 1 061 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 13.0ms (41.7% of total)

ival-mult: 8.0ms (25.6% of total)

ival-pow: 6.0ms (19.2% of total)

ival-pow2: 2.0ms (6.4% of total)

ival-sub: 1.0ms (3.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
1.0ms	-6.642274261183744e-41	-7.232558575471852e-45

Compiler

Compiled 912 to 625 computations (31.5% saved)

bsearch64.0ms (0.3%)

Memory

8.8MiB live, 91.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	8.12001682140155e+163	1.8578823163761552e+168
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
1.0ms	-6.642274261183744e-41	-7.232558575471852e-45

Samples

28.0ms	131×	0	invalid
20.0ms	128×	0	valid

Compiler

Compiled 1 395 to 917 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 8.0ms (29.2% of total)

ival-mult: 8.0ms (29.2% of total)

ival-pow: 5.0ms (18.3% of total)

ival-sub: 3.0ms (11% of total)

ival-pow2: 2.0ms (7.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch67.0ms (0.3%)

Memory

-3.8MiB live, 115.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.12001682140155e+163	1.8578823163761552e+168
5.0ms	-2.2673556961017437e-307	4.11599036703155e-309
55.0ms	-1.1900789823621445e-117	-1.1115462726108543e-122

Samples

26.0ms	144×	0	valid
20.0ms	138×	0	invalid

Compiler

Compiled 1 349 to 872 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 12.0ms (33.4% of total)

ival-div: 10.0ms (27.8% of total)

ival-pow: 9.0ms (25% of total)

ival-pow2: 3.0ms (8.3% of total)

ival-sub: 1.0ms (2.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.12001682140155e+163	1.8578823163761552e+168
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
1.0ms	-1.1900789823621445e-117	-1.1115462726108543e-122

Compiler

Compiled 1 349 to 872 computations (35.4% saved)

bsearch54.0ms (0.2%)

Memory

-11.7MiB live, 25.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	8.12001682140155e+163	1.8578823163761552e+168
1.0ms	-2.2673556961017437e-307	4.11599036703155e-309
1.0ms	-1.1900789823621445e-117	-1.1115462726108543e-122

Samples

37.0ms	80×	0	valid
7.0ms	58×	0	invalid

Compiler

Compiled 1 341 to 848 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-pow: 28.0ms (71.2% of total)

ival-div: 4.0ms (10.2% of total)

ival-mult: 4.0ms (10.2% of total)

ival-sub: 1.0ms (2.5% of total)

ival-pow2: 1.0ms (2.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7893369675507965e-307	6.083452090745224e-301
1.0ms	-1.1900789823621445e-117	-1.1115462726108543e-122

Compiler

Compiled 979 to 633 computations (35.3% saved)

bsearch138.0ms (0.6%)

Memory

6.0MiB live, 197.5MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	6.9989476126787e+53	2.774821460357615e+54
37.0ms	-9.827808400347707e-303	-3.7991109800467123e-303
59.0ms	-1.3629334907224147e-121	-6.8467862347086765e-127

Samples

58.0ms	304×	0	valid
45.0ms	267×	0	invalid

Compiler

Compiled 969 to 640 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-pow: 27.0ms (32.8% of total)

ival-div: 19.0ms (23.1% of total)

ival-mult: 18.0ms (21.9% of total)

ival-pow2: 14.0ms (17% of total)

ival-sub: 3.0ms (3.6% of total)

exact: 1.0ms (1.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.5424392028914922e+247	-5.682603258578019e+232

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-inf	-1.5085595222197834e+278

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.280156591745905e+284	+inf
0.0ms	-inf	-1.5085595222197834e+278

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.280156591745905e+284	+inf
0.0ms	-1.2224194030189483e+161	-9.185044905174588e+56

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch173.0ms (0.7%)

Memory

-21.1MiB live, 233.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	-6.40028641249121e-306	3.999362590328361e-304
62.0ms	-1.7369688287198176e-161	-8.748796087389375e-169

Samples

54.0ms	288×	0	valid
45.0ms	314×	0	invalid

Compiler

Compiled 691 to 480 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 24.0ms (31% of total)

ival-div: 20.0ms (25.8% of total)

ival-pow: 20.0ms (25.8% of total)

ival-sub: 6.0ms (7.7% of total)

ival-pow2: 6.0ms (7.7% of total)

exact: 1.0ms (1.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.1%)

Memory

21.8MiB live, 59.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.1531163065999366e-288	7.50513059538512e-288

Samples

13.0ms	80×	0	valid
12.0ms	69×	0	invalid

Compiler

Compiled 193 to 140 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.9% of total)

ival-div: 5.0ms (25.6% of total)

ival-pow: 5.0ms (25.6% of total)

ival-pow2: 2.0ms (10.2% of total)

ival-sub: 1.0ms (5.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.1531163065999366e-288	7.50513059538512e-288

Compiler

Compiled 188 to 135 computations (28.2% saved)

bsearch73.0ms (0.3%)

Memory

11.3MiB live, 87.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
67.0ms	-1.6316479802977621e-288	-1.8472908011861434e-296

Samples

33.0ms	158×	0	invalid
24.0ms	144×	0	valid

Compiler

Compiled 295 to 201 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-pow: 22.0ms (47.1% of total)

ival-div: 10.0ms (21.4% of total)

ival-mult: 10.0ms (21.4% of total)

ival-pow2: 3.0ms (6.4% of total)

ival-sub: 1.0ms (2.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch53.0ms (0.2%)

Memory

-34.1MiB live, 42.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	1.825518319768599e+224	6.413727738884985e+230

Samples

21.0ms

144×

valid

Compiler

Compiled 286 to 201 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow: 6.0ms (35.9% of total)

ival-div: 5.0ms (29.9% of total)

ival-mult: 4.0ms (23.9% of total)

ival-sub: 1.0ms (6% of total)

ival-pow2: 1.0ms (6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify85.0ms (0.3%)

Memory

36.2MiB live, 72.4MiB allocated

Algorithm

1×	egg-herbie

Rules

334×	`*-commutative_binary64`
284×	`neg-mul-1_binary64`
200×	`unsub-neg_binary64`
178×	`distribute-rgt-neg-in_binary64`
170×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	5234
1	605	5234
2	693	5234
3	797	5234
4	903	5234
5	968	5234
6	1171	5234
7	1465	5234
8	1486	5234
9	1488	5234

Stop Event

1×

saturated

Calls

Call 1

Inputs
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(if (<=.f64 d #s(literal -8273478394652981/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l))) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))))
(if (<=.f64 d #s(literal -8273478394652981/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l))) (if (<=.f64 d #s(literal 1214734795898959/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224 binary64)) (/.f64 #s(approx ( (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l))) (if (<=.f64 d #s(literal 340000000000000001228424394079278692405266899142287188972117888111446554054886704512258474185894257761688801447006095540224 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))))))
(if (<=.f64 d #s(literal -2340153991031443/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l))) (if (<=.f64 d #s(literal 1214734795898959/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224 binary64)) (/.f64 #s(approx ( (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l))) (if (<=.f64 d #s(literal 124999999999999997213746216425516208757248037199365197174010415332811411361229985759733319855188453960594690258868918812672 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))))))
(if (<=.f64 d #s(literal -2340153991031443/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 D d) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 h #s(literal -1/2 binary64)))) (.f64 d (.f64 #s(literal 4 binary64) l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 h (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (.f64 d l) #s(literal 2 binary64)))) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l))) (if (<=.f64 d #s(literal 2557336412418861/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224 binary64)) (/.f64 #s(approx ( (+ (* (* M D) (* (* M D) (/ (* h -1/2) (* l (* d (* d 4)))))) 1) d) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 h (/.f64 (.f64 M M) d)))) (.f64 d l)) l)) (sqrt.f64 (.f64 h l))) (if (<=.f64 d #s(literal 119999999999999994137671364268273881942482075473267750107748574484415980258794933774144499009447788544 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h))))) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l)))))))
(if (<=.f64 d #s(literal -124999999999999990563640190309405858147334025035798801671705023865958847109338362625108434323037039724012763401924662214252157247600974736634205481624001057658645871773709444517739097101521649685892403812926677796274593643626496 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) (if (<=.f64 d #s(literal -551124372448951/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h))))) (if (<=.f64 d #s(literal 4554050699414489/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) l) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l))) (if (<=.f64 d #s(literal 8694943802224127/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (.f64 h l))) (if (<=.f64 d #s(literal 119999999999999994137671364268273881942482075473267750107748574484415980258794933774144499009447788544 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) h))))) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))))))))
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(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -inf.0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) (if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)))) (if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 (.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))))
(if (<=.f64 l #s(literal -3728080393916517/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (+.f64 #s(literal 0 binary64) l)))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 l #s(literal 4388899255034951/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 l #s(literal 4388899255034951/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 l #s(literal -1348269851146737/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
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Outputs
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(if (<=.f64 l #s(literal -3728080393916517/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 (neg.f64 h) (/.f64 (.f64 l l) l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l))))))
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(if (<=.f64 l #s(literal 4388899255034951/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l)))))
(if (<=.f64 l #s(literal 4388899255034951/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 l #s(literal 4388899255034951/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 l #s(literal -1348269851146737/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 (.f64 M D) #s(literal 4999999999999999959194305311472138789316713505760186662089948335321480892263512301403195247934654204235168857842647367096996296699444923098611883276723489546525980192668752177843878836281320271702176657113721017213751856835067904 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h l)))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h (neg.f64 l))))))
(if (<=.f64 (.f64 M D) #s(literal 4999999999999999959194305311472138789316713505760186662089948335321480892263512301403195247934654204235168857842647367096996296699444923098611883276723489546525980192668752177843878836281320271702176657113721017213751856835067904 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (.f64 h l)))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (neg.f64 (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

soundness3.5s (14.5%)

Memory

-9.0MiB live, 2 531.3MiB allocated

Rules

8 594×	`lower-*.f64`
8 594×	`lower-*.f32`
7 446×	`lower-*.f32`
7 434×	`lower-*.f64`
6 736×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	300
0	112	284
1	347	257
2	2289	251
0	8409	251
0	354	18610
1	1091	18076
2	4083	17983
3	6751	17959
0	8372	17545
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125
0	385	16909
1	1175	16475
2	4294	16398
3	7454	16389
0	8020	15960
0	317	13249
1	922	12879
2	3271	12808
3	7236	12760
0	8648	12508
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58
0	86	470
0	136	468
1	472	418
2	3821	409
0	8497	399
0	79	420
0	132	387
1	461	338
2	3919	328
0	8212	328

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 9 172 to 3 385 computations (63.1% saved)

preprocess233.0ms (1%)

Memory: -9.9MiB live, 483.4MiB allocated
Remove: (abs D)
Compiler: Compiled 8 998 to 1 552 computations (82.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated