Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze445.0ms (2.1%)

Memory

44.1MiB live, 736.9MiB 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)

sample5.9s (27.5%)

Memory

-9.5MiB live, 6 204.8MiB allocated

Samples

2.8s	13 314×	0	invalid
1.8s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-mult: 1.4s (39.5% of total)

ival-div: 998.0ms (28.5% of total)

ival-pow: 738.0ms (21.1% of total)

ival-pow2: 234.0ms (6.7% of total)

ival-sub: 102.0ms (2.9% of total)

exact: 22.0ms (0.6% of total)

ival-true: 18.0ms (0.5% of total)

ival-assert: 9.0ms (0.3% of total)

Bogosity

explain345.0ms (1.6%)

Memory

-10.0MiB live, 626.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
69	-	6	(1.7670094887475868e-128 5.087983787614062e+140 1.2474145035498074e+188 4.8370970901767323e+260 -9.127975356375171e-39)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
61	-	1	(5.840264031704666e-270 6.539673864431403e+51 8.837898129813225e-150 6.731148635645638e+184 2.0634824696619776e-38)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
41	-	1	(9.718455283539798e-169 4.2716057717160946e-78 6.534265686172542e+242 -6.924475536747949e-211 -1.0241275149325952e+109)	`(.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))`
22	-	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) (.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))))`
20	-	5	(4.188426575947881e-195 4.8950850427755086e+110 3.5529287245540427e-281 -3.0972868059978194e-141 1.0107456855639741e-179)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
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 l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	38	0
↳	`(/.f64 d l)`	overflow	38
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	30	0
↳	`(/.f64 d h)`	overflow	30
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	30	0
↳	`(/.f64 d h)`	underflow	30
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	25	0
↳	`(/.f64 d l)`	underflow	25
`*.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**	10	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**	9	0
↳	`(/.f64 d h)`	underflow	30
↳	`(/.f64 d l)`	underflow	25
↳	`(*.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	13
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	79
↳	`(.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	79
↳	`(/.f64 h l)`	overflow	26
↳	`(-.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	81
↳	`(.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	81
↳	`(*.f64 M D)`	overflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	47
`*.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**	8	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	4	0
↳	`(*.f64 M D)`	overflow	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 (/.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**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	79
↳	`(.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	79
↳	`(*.f64 M D)`	overflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	47
↳	`(/.f64 h l)`	underflow	32
`*.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))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	78
↳	`(.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)))`	underflow	78
↳	`(*.f64 M D)`	underflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	46
↳	`(/.f64 h l)`	overflow	26
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	31

Confusion

	Predicted +	Predicted -
+	92	6
-	31	127

Precision

0.7479674796747967

Recall

0.9387755102040817

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	6
-	31	0	127

Precision?

0.7479674796747967

Recall?

0.9387755102040817

Freqs

test

number	freq
0	133
1	87
2	32
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

101.0ms

512×

valid

Compiler

Compiled 352 to 70 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-pow: 22.0ms (31.2% of total)

ival-div: 20.0ms (28.4% of total)

ival-mult: 19.0ms (27% of total)

ival-pow2: 5.0ms (7.1% of total)

ival-sub: 2.0ms (2.8% of total)

ival-true: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

preprocess211.0ms (1%)

Memory

1.1MiB live, 274.1MiB 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

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.1%	(.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))))

Status

Accuracy

Program

▶

63.1%

(*.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))))

Compiler

Compiled 40 to 22 computations (45% saved)

simplify192.0ms (0.9%)

Memory

9.3MiB live, 212.2MiB 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)

localize113.0ms (0.5%)

Memory

-9.3MiB live, 148.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.249502179309986	(.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	9.565093101069557	(.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	14.336887838795297	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.505250791086054	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

90.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 41.0ms (56.4% of total)

ival-div: 17.0ms (23.4% of total)

ival-pow: 11.0ms (15.1% of total)

ival-pow2: 3.0ms (4.1% of total)

ival-sub: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series90.0ms (0.4%)

Memory

9.5MiB live, 92.0MiB 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>) () ())) ())
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Calls

51 calls:

Time	Variable		Point	Expression
31.0ms	d	@	inf	(pow (/ (* M D) (* 2 d)) 2)
10.0ms	M	@	inf	(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
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))

simplify233.0ms (1.1%)

Memory

-42.7MiB live, 345.8MiB 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)))
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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))))))
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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))))))
(.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)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(.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))))

rewrite368.0ms (1.7%)

Memory

41.9MiB live, 459.5MiB 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))
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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)))

eval103.0ms (0.5%)

Memory: -21.0MiB live, 226.8MiB allocated
Compiler: Compiled 32 235 to 2 661 computations (91.7% saved)

prune185.0ms (0.9%)

Memory

24.2MiB live, 425.3MiB allocated

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	774	35	809
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	775	35	810

Accuracy

93.7%

Counts

810 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.9%	(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))))
	25.6%	(/.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)))
	32.6%	(/.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))
	26.4%	(/.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)))
	29.1%	(/.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))
	48.4%	(/.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)))
▶	48.9%	(/.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)))
	34.7%	(.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))))
	56.9%	(.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)))
	52.8%	(.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 (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) h)) l)))
	49.0%	(.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) (/.f64 (.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (*.f64 d d))))
	52.1%	(.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 (neg.f64 D) (.f64 M (.f64 M D))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (neg.f64 (.f64 (*.f64 d d) #s(literal 4 binary64))))))
▶	69.0%	(.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) (.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)))))
	56.0%	(.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) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))))))
	63.9%	(.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 (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
	50.8%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
	60.3%	(.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)) (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d (.f64 M D))))) (/.f64 h l))))
	42.2%	(.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) #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))))))
	33.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 (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))))
	63.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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))))
	33.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
	63.1%	(.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))))
	40.3%	(.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))))
▶	62.7%	(.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))))
	40.4%	(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 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))))
	48.8%	(.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)))
	32.6%	(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (.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)))))
	15.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))
	30.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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))
	13.2%	#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 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	14.8%	#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 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	20.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 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))))))
▶	29.3%	#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))

Compiler

Compiled 2 626 to 1 604 computations (38.9% saved)

simplify201.0ms (0.9%)

Memory

-20.7MiB live, 260.9MiB 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 l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64))
cost-diff	128	(.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 h))
cost-diff	384	(/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 h)) l)
cost-diff	1984	(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))))
cost-diff	0	(sqrt.f64 (/.f64 d h))
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 (/.f64 l d)))
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 #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

8 766×	`lower-*.f32`
8 722×	`lower-*.f64`
2 360×	`lower-/.f32`
2 328×	`lower-/.f64`
1 620×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	664
0	136	669
1	267	639
2	870	607
3	5161	605
0	8090	596

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

localize269.0ms (1.2%)

Memory

14.8MiB live, 441.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.249502179309986	(.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))))
accuracy	9.565093101069557	(.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	14.308544973974568	(sqrt.f64 (/.f64 h d))
accuracy	15.505250791086068	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	10.483866858461019	(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))))
accuracy	10.714547970668717	(/.f64 (.f64 d d) (.f64 h l))
accuracy	14.533922585192588	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy	22.908681399168554	(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
accuracy	7.0785480630400786	(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	14.336887838795297	(sqrt.f64 (/.f64 d h))
accuracy	14.533922585192588	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy	15.835969619518522	(sqrt.f64 (/.f64 l d))
accuracy	0.18359375	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
accuracy	0.4469744613918305	(/.f64 #s(literal 1 binary64) (*.f64 h l))
accuracy	13.559553240061218	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
accuracy	43.80710789613535	#s(approx (* (* (pow (/ d 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	6.052437085481584	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
accuracy	6.831465947915226	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
accuracy	14.336887838795297	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.505250791086068	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

167.0ms

256×

valid

Compiler

Compiled 697 to 68 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 39.0ms (36.8% of total)

ival-div: 31.0ms (29.3% of total)

ival-pow: 19.0ms (17.9% of total)

ival-sqrt: 9.0ms (8.5% of total)

ival-pow2: 3.0ms (2.8% of total)

ival-add: 2.0ms (1.9% of total)

ival-sub: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

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

series144.0ms (0.7%)

Memory

-14.5MiB live, 229.1MiB allocated

Counts

25 → 1 008

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

Calls

252 calls:

Time	Variable		Expression
20.0ms	h	@	(/ (/ (* M D) (* d 2)) (/ 1 h))
2.0ms	h	@	(* (sqrt (/ (* d d) (* h l))) 1/2)
2.0ms	D	@	(/ (/ (* M (* D 1/2)) (* d 2)) l)
1.0ms	d	@	(+ (* (* (sqrt (/ (* d d) (* h l))) 1/2) (/ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (neg h)) l)) (sqrt (/ (* d d) (* h l))))
1.0ms	M	@	(/ (/ (* M (* D 1/2)) (* d 2)) l)

simplify335.0ms (1.6%)

Memory

22.7MiB live, 460.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 954×	`lower-*.f64`
7 954×	`lower-*.f32`
6 650×	`lower-fma.f64`
6 650×	`lower-fma.f32`
2 714×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	15283
1	728	14886
2	2600	14826
3	5717	14760
0	8232	14520

Stop Event

1×	iter limit
1×	node limit

Counts

1 008 → 1 008

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

rewrite546.0ms (2.5%)

Memory

-0.9MiB live, 709.8MiB allocated

Rules

6 376×	`lower-*.f32`
6 338×	`lower-*.f64`
3 708×	`lower-/.f32`
3 676×	`lower-/.f64`
3 508×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	340
0	127	312
1	410	276
2	2997	271
0	9767	271

Stop Event

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

Counts

25 → 2 174

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

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

eval570.0ms (2.6%)

Memory: 96.1MiB live, 933.5MiB allocated
Compiler: Compiled 145 810 to 6 394 computations (95.6% saved)

prune646.0ms (3%)

Memory

-77.9MiB live, 1 079.0MiB allocated

Pruning

63 alts after pruning (62 fresh and 1 done)

	Pruned	Kept	Total
New	3 618	55	3 673
Fresh	23	7	30
Picked	4	1	5
Done	0	0	0
Total	3 645	63	3 708

Accuracy

94.4%

Counts

3 708 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(fma.f64 (/.f64 (.f64 (.f64 D (.f64 M D)) (.f64 M (neg.f64 h))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (/.f64 (.f64 #s(literal 1/2 binary64) d) (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
	23.6%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 D (.f64 M D)) (.f64 M (neg.f64 h))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	21.5%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) #s(approx (/ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (neg h)) l) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 h (.f64 M M)) #s(literal -1/4 binary64)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	36.4%	(fma.f64 (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (.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))))
	34.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) d) (sqrt.f64 (.f64 h l)))
▶	25.6%	(/.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)))
	26.4%	(/.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)))
	48.4%	(/.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)))
	47.6%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 (.f64 D (.f64 M D)) (.f64 M (neg.f64 h))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	26.4%	(/.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))) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))
	56.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) (.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	49.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 (.f64 D (.f64 M D)) #s(literal 1/4 binary64)) (/.f64 (*.f64 h #s(literal -1/2 binary64)) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	63.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	56.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	50.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	54.3%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	54.0%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (/.f64 (.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)))
	53.2%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	44.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (*.f64 d d)) l) l))) (sqrt.f64 (/.f64 l d)))
	32.2%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))))) (sqrt.f64 h))
	8.8%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (.f64 (.f64 D D) (.f64 (neg.f64 (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 l d)))
	25.0%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 h (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 d (.f64 d d)))))) (sqrt.f64 (/.f64 d (.f64 h (.f64 h h))))))) (sqrt.f64 (/.f64 l d)))
	32.9%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 d (fma.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) l)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 d h)))))) (sqrt.f64 (/.f64 l d)))
	40.3%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	34.7%	(.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))))
	29.9%	(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)) (sqrt.f64 d))
	67.5%	(.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))))
	65.4%	(.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 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal 1/2 binary64)) h)))))
	38.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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)))))
▶	69.0%	(.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 (/.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)))))
	42.6%	(.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)))))
	50.4%	(.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)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D)))) (/.f64 h l))))
	33.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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))))
	33.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))) (sqrt.f64 (neg.f64 d)))) (-.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))))
	62.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (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))))
	48.3%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	42.6%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 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)))))
	40.4%	(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 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))))
	48.8%	(.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)))
▶	30.2%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	13.4%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (.f64 (neg.f64 (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) d)))
	14.8%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
	25.8%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
▶	16.8%	#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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
▶	29.3%	#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 (sqrt.f64 (*.f64 h l))))
	29.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (*.f64 d d) h)))))
	13.2%	#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 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	22.5%	#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 h l))) (sqrt.f64 d)))
	39.8%	#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 d l)) (sqrt.f64 (/.f64 d h))))
	28.6%	#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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
	2.8%	#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 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h 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 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)))))))
	29.6%	#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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	29.6%	#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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓	29.3%	#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	24.7%	#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 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	28.0%	#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 (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
	26.8%	#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))))
	45.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))

Compiler

Compiled 3 766 to 2 380 computations (36.8% saved)

simplify217.0ms (1%)

Memory

-8.9MiB live, 255.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

7 138×	`lower-*.f32`
7 088×	`lower-*.f64`
3 526×	`lower-/.f32`
3 496×	`lower-/.f64`
2 804×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	709
0	159	674
1	310	656
2	913	627
3	4658	627
4	7508	627
0	8387	618

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

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

localize295.0ms (1.4%)

Memory

19.0MiB live, 381.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.4777440850751096	(/.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)))
accuracy	3.9175032009088238	(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	7.096993176598187	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy	7.541379616618156	(sqrt.f64 (/.f64 d l))
accuracy	6.477152853316884	(.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))
accuracy	6.661445303409071	(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
accuracy	7.188202337572458	(sqrt.f64 (/.f64 h l))
accuracy	7.4854178011897	(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
accuracy	0.09375	(*.f64 (/.f64 d h) (neg.f64 d))
accuracy	1.0716151731872916	(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
accuracy	10.26658423758871	(sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d)))
accuracy	15.713546892261814	#s(approx (* (* (pow (/ 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))))
accuracy	0	(*.f64 h l)
accuracy	0.0859375	(/.f64 d (sqrt.f64 (*.f64 h l)))
accuracy	6.786711549813614	(sqrt.f64 (*.f64 h l))
accuracy	29.18292377537079	#s(approx (* (* (pow (/ d 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	3.4584047963298343	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
accuracy	3.772354874566319	(.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	6.148939845700896	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.541379616618156	(sqrt.f64 (/.f64 d l))

Samples

92.0ms	124×	0	valid
80.0ms	132×	0	invalid

Compiler

Compiled 686 to 85 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 46.0ms (34.1% of total)

ival-div: 44.0ms (32.6% of total)

ival-pow: 18.0ms (13.3% of total)

ival-sqrt: 15.0ms (11.1% of total)

ival-neg: 3.0ms (2.2% of total)

ival-pow2: 3.0ms (2.2% of total)

ival-add: 2.0ms (1.5% of total)

ival-sub: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

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

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

series150.0ms (0.7%)

Memory

3.5MiB live, 224.3MiB allocated

Counts

26 → 1 080

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

270 calls:

Time	Variable		Point	Expression
27.0ms	d	@	0	(sqrt (* (/ d h) (neg d)))
3.0ms	M	@	0	(/ (+ (* d (sqrt (/ h l))) (* (sqrt (/ (* h (* h h)) (* l (* l l)))) (* (* D (* D (* M M))) (/ -1/8 d)))) h)
2.0ms	l	@	-inf	(* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))))
2.0ms	d	@	0	(/ (+ (* d (sqrt (/ h l))) (* (sqrt (/ (* h (* h h)) (* l (* l l)))) (* (* D (* D (* M M))) (/ -1/8 d)))) h)
1.0ms	h	@	-inf	(/ (+ (* d (sqrt (/ h l))) (* (sqrt (/ (* h (* h h)) (* l (* l l)))) (* (* D (* D (* M M))) (/ -1/8 d)))) h)

simplify323.0ms (1.5%)

Memory

32.7MiB live, 534.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 200×	`lower-*.f64`
9 200×	`lower-*.f32`
5 548×	`lower-fma.f64`
5 548×	`lower-fma.f32`
3 902×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	19834
1	1090	19204
2	3936	19060
0	8444	18649

Stop Event

1×	iter limit
1×	node limit

Counts

1 080 → 1 080

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

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

rewrite317.0ms (1.5%)

Memory

-18.4MiB live, 432.2MiB allocated

Rules

4 724×	`lower-*.f32`
4 674×	`lower-*.f64`
3 034×	`lower-pow.f32`
3 032×	`lower-pow.f64`
2 994×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	478
0	159	424
1	509	378
2	3989	356
0	8367	356

Stop Event

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

Counts

26 → 973

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

eval412.0ms (1.9%)

Memory: 25.5MiB live, 509.9MiB allocated
Compiler: Compiled 68 903 to 4 022 computations (94.2% saved)

prune816.0ms (3.8%)

Memory

-35.7MiB live, 691.7MiB allocated

Pruning

72 alts after pruning (70 fresh and 2 done)

	Pruned	Kept	Total
New	2 091	32	2 123
Fresh	19	38	57
Picked	4	1	5
Done	0	1	1
Total	2 114	72	2 186

Accuracy

95.0%

Counts

2 186 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(fma.f64 (/.f64 (.f64 (.f64 D (.f64 M D)) (.f64 M (neg.f64 h))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (/.f64 (.f64 #s(literal 1/2 binary64) d) (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
	23.6%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 D (.f64 M D)) (.f64 M (neg.f64 h))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	21.5%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) #s(approx (/ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (neg h)) l) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 h (.f64 M M)) #s(literal -1/4 binary64)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	36.4%	(fma.f64 (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (.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))))
	34.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) d) (sqrt.f64 (.f64 h l)))
	25.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
	28.8%	(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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)))
	30.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (.f64 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)))
	31.8%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
▶	26.0%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	25.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1/2 binary64) d)) (.f64 M (.f64 D (.f64 M D)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	27.8%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 M D)) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	27.4%	(/.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 (.f64 D (.f64 h (.f64 M M)))) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	9.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	26.4%	(/.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)))
	48.4%	(/.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)))
	47.6%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 (.f64 D (.f64 M D)) (.f64 M (neg.f64 h))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	56.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) (.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	49.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 (.f64 D (.f64 M D)) #s(literal 1/4 binary64)) (/.f64 (*.f64 h #s(literal -1/2 binary64)) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	63.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	56.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	50.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	54.3%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
▶	53.2%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	44.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (*.f64 d d)) l) l))) (sqrt.f64 (/.f64 l d)))
	32.2%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
	4.3%	(/.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)))
	8.8%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (.f64 (.f64 D D) (.f64 (neg.f64 (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 l d)))
	25.0%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 h (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 d (.f64 d d)))))) (sqrt.f64 (/.f64 d (.f64 h (.f64 h h))))))) (sqrt.f64 (/.f64 l d)))
	34.7%	(.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))))
	29.9%	(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)) (sqrt.f64 d))
	48.0%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (*.f64 d d)) l))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
	38.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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)))))
	67.5%	(.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 (.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d))))
	65.4%	(.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 D #s(literal 1/2 binary64)) h)))))
	66.1%	(.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 M l) (.f64 (/.f64 D d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	64.1%	(.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 #s(approx (/ (/ ( M (* D 1/2)) (* d 2)) l) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) M) D) (.f64 d l))) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	42.6%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.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)))))
	50.4%	(.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)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D)))) (/.f64 h l))))
	62.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (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))))
	48.3%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	42.6%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (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)))))
	40.4%	(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 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))))
	48.8%	(.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)))
▶	69.0%	(.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)))))
▶	14.9%	#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 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) d)))
	25.8%	#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))))))
	29.5%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -8 binary64))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	31.8%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) D) (/.f64 (.f64 (.f64 M (.f64 M D)) #s(literal -1/8 binary64)) d) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	56.4%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	56.4%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 binary64)) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	32.1%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	36.8%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (.f64 h h)) l) l) l)) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	9.3%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (sqrt (/ (* h (* h h)) (* l (* l l)))) (* (* D (* D (* M M))) (/ -1/8 d)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	35.9%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (sqrt (/ (* h (* h h)) (* l (* l l)))) (* (* D (* D (* M M))) (/ -1/8 d)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	13.4%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (.f64 (neg.f64 (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) d)))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	28.6%	#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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	29.3%	#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 (sqrt.f64 (*.f64 h l))))
	29.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d))
	13.2%	#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 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	22.5%	#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 h l))) (sqrt.f64 d)))
	39.8%	#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 d l)) (sqrt.f64 (/.f64 d h))))
	2.8%	#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 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (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 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)))))))
	29.6%	#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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	29.6%	#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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓	29.3%	#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	24.7%	#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 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	26.8%	#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))))
▶	45.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))

Compiler

Compiled 4 510 to 2 842 computations (37% saved)

simplify186.0ms (0.9%)

Memory

11.3MiB live, 277.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (.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 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (*.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 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (*.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	(*.f64 (/.f64 M d) (/.f64 M d))
cost-diff	0	(sqrt.f64 (/.f64 d h))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
cost-diff	384	(fma.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))
cost-diff	0	(*.f64 D D)
cost-diff	0	(.f64 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))
cost-diff	0	(.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) d))
cost-diff	0	#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 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) d)))
cost-diff	0	(sqrt.f64 (*.f64 h l))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 h l)))
cost-diff	0	(fabs.f64 (/.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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h 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

6 686×	`lower-*.f32`
6 634×	`lower-*.f64`
4 058×	`lower-/.f32`
4 024×	`lower-/.f64`
2 002×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	679
0	161	663
1	346	645
2	1170	631
3	4788	631
4	7063	631
0	8035	627

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

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

localize514.0ms (2.4%)

Memory

0.6MiB live, 521.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.4777440850751096	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
accuracy	3.9175032009088238	(fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
accuracy	6.985876819526634	(.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D)))
accuracy	7.541379616618156	(sqrt.f64 (/.f64 d l))
accuracy	5.31183659663769	(.f64 (.f64 M D) (/.f64 (*.f64 h #s(literal -1/2 binary64)) l))
accuracy	6.1489398457009	(sqrt.f64 (/.f64 d h))
accuracy	6.263166873570103	(fma.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))
accuracy	7.765223298490729	(sqrt.f64 (/.f64 l d))
accuracy	7.73059215288106	(.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))))
accuracy	8.26951969195359	(.f64 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))
accuracy	9.534002257492213	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
accuracy	30.124912153762466	#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 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) d)))
accuracy	0	(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
accuracy	0.0859375	(/.f64 d (sqrt.f64 (*.f64 h l)))
accuracy	6.786711549813614	(sqrt.f64 (*.f64 h l))
accuracy	15.713546892261814	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))
accuracy	3.4584047963298343	(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
accuracy	3.772354874566319	(.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)))))
accuracy	6.1489398457009	(sqrt.f64 (/.f64 d h))
accuracy	7.541379616618156	(sqrt.f64 (/.f64 d l))

Samples

146.0ms	132×	0	invalid
81.0ms	124×	0	valid

Compiler

Compiled 665 to 92 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult: 54.0ms (32.4% of total)

ival-add: 47.0ms (28.2% of total)

ival-div: 35.0ms (21% of total)

ival-sqrt: 11.0ms (6.6% of total)

ival-pow: 11.0ms (6.6% of total)

ival-pow2: 3.0ms (1.8% of total)

ival-sub: 2.0ms (1.2% of total)

ival-neg: 2.0ms (1.2% of total)

ival-fabs: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series104.0ms (0.5%)

Memory

3.1MiB live, 201.0MiB allocated

Counts

28 → 1 248

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

Calls

312 calls:

Time	Variable		Point	Expression
4.0ms	h	@	inf	(* (* M D) (/ (* h -1/2) l))
3.0ms	l	@	0	(* (* (* D D) (* (* M M) (sqrt (/ h (* l (* l l)))))) (/ -1/8 d))
1.0ms	l	@	0	(* (* M D) (/ (* h -1/2) l))
1.0ms	M	@	0	(* (* M D) (/ (* h -1/2) l))
1.0ms	D	@	0	(* (* M D) (/ (* h -1/2) l))

simplify328.0ms (1.5%)

Memory

30.1MiB live, 423.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 514×	`lower-*.f64`
8 514×	`lower-*.f32`
4 548×	`lower-fma.f64`
4 548×	`lower-fma.f32`
3 376×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	21363
1	1186	20873
2	4284	20785
0	8060	20308

Stop Event

1×	iter limit
1×	node limit

Counts

1 248 → 1 248

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

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

rewrite298.0ms (1.4%)

Memory

-1.1MiB live, 421.6MiB allocated

Rules

4 734×	`lower-*.f32`
4 682×	`lower-*.f64`
3 356×	`lower-/.f32`
3 322×	`lower-/.f64`
2 608×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	482
0	161	449
1	560	406
2	4642	386
0	8314	379

Stop Event

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

Counts

28 → 856

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

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

eval576.0ms (2.7%)

Memory: -134.4MiB live, 498.7MiB allocated
Compiler: Compiled 71 223 to 3 439 computations (95.2% saved)

prune533.0ms (2.5%)

Memory

-11.7MiB live, 939.6MiB allocated

Pruning

66 alts after pruning (63 fresh and 3 done)

	Pruned	Kept	Total
New	2 205	28	2 233
Fresh	30	35	65
Picked	4	1	5
Done	0	2	2
Total	2 239	66	2 305

Accuracy

96.2%

Counts

2 305 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.5%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) #s(approx (/ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (neg h)) l) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 h (.f64 M M)) #s(literal -1/4 binary64)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	36.4%	(fma.f64 (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (.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))))
	27.8%	(/.f64 (.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (.f64 d d))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
	52.4%	(/.f64 (.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	34.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) d) (sqrt.f64 (.f64 h l)))
	28.8%	(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	25.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1/2 binary64) d)) (.f64 M (.f64 D (.f64 M D)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	9.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	26.4%	(/.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)))
	64.8%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 (.f64 M D) (/.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) l)) d) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	60.0%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 M d) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64))))) l) (.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	61.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))) (sqrt.f64 (/.f64 l d)))
	56.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	54.6%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 M D)) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (.f64 d #s(literal 2 binary64)))) h))) (sqrt.f64 (/.f64 l d)))
	35.0%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (*.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
	4.3%	(/.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)))
	8.8%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (.f64 (.f64 D D) (.f64 (neg.f64 (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 l d)))
	25.0%	(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 h (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 d (.f64 d d)))))) (sqrt.f64 (/.f64 d (.f64 h (.f64 h h))))))) (sqrt.f64 (/.f64 l d)))
	34.7%	(.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))))
	27.9%	(.f64 (fma.f64 (.f64 M (/.f64 M (.f64 d d))) (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
	36.4%	(.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (.f64 d d))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	32.7%	(.f64 (/.f64 (.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (*.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)) (sqrt.f64 d))
	52.7%	(.f64 (.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (*.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	42.6%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.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)))))
	40.4%	(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 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))))
	43.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 M (/.f64 M (.f64 d d))) (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	38.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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)))))
	65.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (/.f64 (.f64 D (.f64 M (*.f64 h #s(literal -1/2 binary64)))) l)) d) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)))
	62.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (*.f64 d #s(literal 2 binary64)) l)) #s(literal 1 binary64)))
	56.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)))
	60.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 M d) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64))))) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)))
	56.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 M D) (/.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) l)) #s(literal 1 binary64)))
	61.4%	(.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 #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)))
	52.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) #s(literal 1/4 binary64))) (.f64 d d)) h) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)))
	52.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 M (.f64 D (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (*.f64 d d)))) #s(literal 1 binary64)))
	35.4%	(.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) (exp.f64 (-.f64 (log.f64 (.f64 M (/.f64 D (.f64 d #s(literal 2 binary64))))) (neg.f64 (log.f64 h)))))))
	54.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 M D)) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
	18.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d (*.f64 d l)))))
	15.2%	#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 (.f64 (.f64 M (.f64 D (.f64 M D))) (sqrt.f64 h)) (sqrt.f64 (.f64 l (*.f64 l l)))) (/.f64 #s(literal -1/8 binary64) d)))
	25.8%	#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 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	17.7%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 D (.f64 D (.f64 M (.f64 (.f64 M (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) (/.f64 #s(literal -1/8 binary64) d))))))
	29.5%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -8 binary64))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	56.4%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	56.4%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 binary64)) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	32.1%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) l)) (sqrt.f64 (.f64 l l))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	36.8%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (.f64 h h)) l) l) l)) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	9.3%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (sqrt (/ (* h (* h h)) (* l (* l l)))) (* (* D (* D (* M M))) (/ -1/8 d)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	35.9%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (sqrt (/ (* h (* h h)) (* l (* l l)))) (* (* D (* D (* M M))) (/ -1/8 d)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	13.4%	#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (.f64 (neg.f64 (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) d)))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	28.6%	#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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	29.3%	#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 (sqrt.f64 (*.f64 h l))))
	29.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d))
	13.2%	#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 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	22.5%	#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 h l))) (sqrt.f64 d)))
	39.8%	#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 d l)) (sqrt.f64 (/.f64 d h))))
	2.8%	#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 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (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 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)))))))
	29.6%	#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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	29.6%	#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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓	29.3%	#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	24.7%	#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 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	26.8%	#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))))
✓	45.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))

Compiler

Compiled 6 250 to 1 906 computations (69.5% saved)

regimes493.0ms (2.3%)

Memory

-7.3MiB live, 560.2MiB allocated

Counts

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

Outputs

(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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)))))

(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))

Calls

7 calls:

101.0ms	D
91.0ms	d
82.0ms	(.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))))
65.0ms	M
52.0ms	l

Results

Accuracy	Segments	Branch
83.2%	3	`d`
83.0%	3	`h`
81.4%	2	`l`
73.1%	2	`M`
70.8%	2	`D`
79.2%	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))))`
71.1%	2	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes104.0ms (0.5%)

Memory

23.9MiB live, 181.1MiB allocated

Counts

111 → 4

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	h
32.0ms	l
31.0ms	d

Results

Accuracy	Segments	Branch
78.8%	4	`l`
77.3%	3	`h`
81.0%	4	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes123.0ms (0.6%)

Memory

-19.5MiB live, 90.4MiB allocated

Counts

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

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)))))

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

(fma.f64 (*.f64 (fabs.f64 (/.f64 d (sqrt.f64 (*.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))))

Calls

2 calls:

64.0ms

26.0ms

(*.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
79.2%	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))))`
79.9%	5	`d`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes36.0ms (0.2%)

Memory

15.5MiB live, 62.6MiB allocated

Counts

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

Outputs

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

(fma.f64 (*.f64 (fabs.f64 (/.f64 d (sqrt.f64 (*.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))))

Calls

1 calls:

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
77.9%	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))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes121.0ms (0.6%)

Memory

15.6MiB live, 172.1MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

33.0ms	h
31.0ms	d
27.0ms	l
24.0ms	(.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
74.6%	4	`d`
75.4%	4	`l`
68.7%	2	`h`
76.6%	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))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes47.0ms (0.2%)

Memory

-3.6MiB live, 32.6MiB 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)))) (fabs.f64 (/.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)))) (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 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.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 (/ (* (* (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 #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))))
#s(approx (* (* (pow (/ d 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 (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (sqrt (/ (* h (* h h)) (* l (* l l)))) (* (* D (* D (* M M))) (/ -1/8 d)))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (sqrt (/ (* h (* h h)) (* l (* l l)))) (* (* D (* D (* M M))) (/ -1/8 d)))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 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 (/.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 (/.f64 (/.f64 #s(literal 1 binary64) (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 (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 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 (/.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 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.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 (sqrt.f64 (/.f64 d h)) (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 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 h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) 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 D (.f64 D (.f64 M (.f64 (.f64 M (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) (/.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 (.f64 D D) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) d)))
#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (.f64 (.f64 (neg.f64 (.f64 M M)) (.f64 (.f64 D D) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) (/.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 (.f64 (.f64 M (.f64 D (.f64 M D))) (sqrt.f64 h)) (sqrt.f64 (.f64 l (*.f64 l l)))) (/.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 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 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (.f64 d d))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) d) (sqrt.f64 (.f64 h l)))
(.f64 (fma.f64 (.f64 M (/.f64 M (.f64 d d))) (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(.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 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 d (*.f64 d l)))))
(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (.f64 (.f64 (.f64 D D) (.f64 (neg.f64 (.f64 M M)) (sqrt.f64 (/.f64 h (.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.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 (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)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 M (.f64 D (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (*.f64 d d)))) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (*.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 M (.f64 (.f64 D (.f64 M D)) #s(literal 1/4 binary64))) (.f64 d d)) h) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 M D) (/.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) l)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 M (/.f64 M (.f64 d d))) (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d 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 (/.f64 d h)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 M D)) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (*.f64 d d)) l) l))) (sqrt.f64 (/.f64 l d)))
(fma.f64 (/.f64 (.f64 (.f64 D (.f64 M D)) (.f64 M (neg.f64 h))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (/.f64 (.f64 #s(literal 1/2 binary64) d) (sqrt.f64 (.f64 h l))) (/.f64 d (sqrt.f64 (.f64 h l))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (*.f64 d d)) l))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 (.f64 D (.f64 M D)) (.f64 M (neg.f64 h))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 D D)) (.f64 l (*.f64 d d))))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (*.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)) (sqrt.f64 d))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (*.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.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 (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 h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) D) (/.f64 (.f64 (.f64 M (.f64 M D)) #s(literal -1/8 binary64)) d) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
#s(approx (/ (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ l d))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -8 binary64))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (*.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 #s(literal 2 binary64)) l)) (.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64))))) h #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (*.f64 d #s(literal 2 binary64)) l)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 M d) (/.f64 (/.f64 (.f64 D (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64))))) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (/.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (/.f64 (.f64 D (.f64 M (*.f64 h #s(literal -1/2 binary64)))) l)) d) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)) (sqrt.f64 d))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))))) (sqrt.f64 h))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 (.f64 h #s(literal -1/2 binary64)) l))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 M D) (/.f64 (.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 h)) (fma.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 (.f64 D (.f64 M D)) #s(literal 1/4 binary64)) (/.f64 (*.f64 h #s(literal -1/2 binary64)) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.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 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 M D)) (.f64 (.f64 (.f64 d #s(literal 2 binary64)) l) (.f64 d #s(literal 2 binary64)))) h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 l (.f64 d d))) #s(literal 1 binary64)) (*.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 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))))))
(/.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 (.f64 D (.f64 h (.f64 M M)))) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) #s(approx (/ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (neg h)) l) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 h (.f64 M M)) #s(literal -1/4 binary64)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.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 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 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))) (sqrt.f64 (/.f64 l d)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 D (.f64 M D)) (.f64 M (neg.f64 h))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 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 h)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))

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

Calls

1 calls:

21.0ms

(*.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
78.0%	5	`(.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)

regimes91.0ms (0.4%)

Memory

-67.2MiB live, 91.7MiB allocated

Counts

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

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

Calls

2 calls:

38.0ms

(*.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))))

19.0ms

Results

Accuracy	Segments	Branch
69.5%	3	`M`
77.0%	5	`(.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)

regimes63.0ms (0.3%)

Memory

7.0MiB live, 82.6MiB allocated

Counts

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

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

Calls

3 calls:

23.0ms

20.0ms

16.0ms

(*.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
71.8%	5	`d`
68.3%	3	`l`
75.9%	5	`(.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 52 to 32 computations (38.5% saved)

regimes85.0ms (0.4%)

Memory

10.3MiB live, 158.4MiB allocated

Counts

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

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

Calls

4 calls:

22.0ms	(*.f64 M D)
19.0ms	h
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))))
17.0ms	D

Results

Accuracy	Segments	Branch
65.8%	4	`h`
62.4%	2	`D`
63.3%	2	`(*.f64 M D)`
73.1%	5	`(.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 60 to 38 computations (36.7% saved)

regimes16.0ms (0.1%)

Memory

32.3MiB live, 32.3MiB allocated

Counts

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

Outputs
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 (.f64 M D) (/.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) l)) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))
(/.f64 #s(approx (* (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) d) (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
73.1%	5	`(.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)

regimes30.0ms (0.1%)

Memory

-13.3MiB live, 23.5MiB allocated

Counts

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

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

Calls

1 calls:

27.0ms

(*.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
72.7%	5	`(.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)

regimes44.0ms (0.2%)

Memory

5.9MiB live, 55.2MiB allocated

Counts

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

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

13.0ms

Results

Accuracy	Segments	Branch
61.1%	2	`M`
71.8%	5	`(.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)

regimes30.0ms (0.1%)

Memory

-9.0MiB live, 65.9MiB allocated

Counts

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

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

Calls

2 calls:

14.0ms

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
69.3%	7	`d`
71.5%	5	`(.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)

regimes33.0ms (0.2%)

Memory

-13.0MiB live, 67.6MiB allocated

Counts

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

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

Calls

2 calls:

17.0ms

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
63.0%	3	`l`
70.9%	5	`(.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

-3.0MiB live, 34.6MiB allocated

Counts

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

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

Calls

1 calls:

11.0ms

(*.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
69.2%	5	`(.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)

regimes39.0ms (0.2%)

Memory

26.2MiB live, 101.2MiB allocated

Counts

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

Calls

3 calls:

14.0ms

(*.f64 M D)

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
60.1%	4	`h`
55.4%	2	`(*.f64 M D)`
67.2%	5	`(.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 54 to 33 computations (38.9% saved)

regimes84.0ms (0.4%)

Memory

-9.5MiB live, 126.9MiB allocated

Counts

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

Calls

5 calls:

33.0ms	l
14.0ms	(.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
11.0ms	D
11.0ms	M

Results

Accuracy	Segments	Branch
55.3%	2	`M`
63.1%	4	`l`
63.1%	5	`d`
51.5%	2	`D`
63.7%	5	`(.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 64 to 42 computations (34.4% saved)

regimes46.0ms (0.2%)

Memory

-16.7MiB live, 66.1MiB allocated

Counts

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

Calls

3 calls:

22.0ms

12.0ms

9.0ms

(*.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
55.7%	3	`d`
61.5%	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))))`
54.6%	4	`l`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes21.0ms (0.1%)

Memory

6.7MiB live, 45.1MiB allocated

Counts

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

Calls

2 calls:

10.0ms

8.0ms

(*.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
50.2%	2	`h`
59.8%	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))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes39.0ms (0.2%)

Memory

1.6MiB live, 76.3MiB allocated

Counts

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

Calls

4 calls:

11.0ms	M
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))))
8.0ms	d
8.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
50.2%	2	`d`
48.3%	2	`M`
49.5%	2	`(*.f64 M D)`
56.7%	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))))`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes9.0ms (0%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

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

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

Calls

1 calls:

7.0ms

(*.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
56.1%	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))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes10.0ms (0%)

Memory

-33.6MiB live, 13.8MiB allocated

Counts

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

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

Calls

1 calls:

9.0ms

(*.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
56.1%	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))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes19.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

6.0ms

5.0ms

(*.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
45.4%	1	`D`
50.3%	2	`l`
50.5%	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))))`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes19.0ms (0.1%)

Memory

-27.6MiB live, 11.5MiB allocated

Counts

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

2 calls:

5.0ms

4.0ms

(*.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
50.3%	2	`l`
49.6%	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))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes16.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

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

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

Calls

4 calls:

4.0ms	h
4.0ms	l
4.0ms	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
49.6%	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))))`
45.4%	1	`d`
45.4%	1	`h`
47.1%	2	`l`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes6.0ms (0%)

Memory

6.7MiB live, 6.7MiB 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)))) (fabs.f64 (/.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)))) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))

Calls

2 calls:

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))))

2.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
47.5%	2	`(*.f64 M D)`
48.5%	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))))`

Compiler

Compiled 48 to 28 computations (41.7% saved)

regimes2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

3 → 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)))) (fabs.f64 (/.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)))) (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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))

Calls

1 calls:

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))))

Results

Accuracy	Segments	Branch
48.5%	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))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes30.0ms (0.1%)

Memory

-23.5MiB live, 15.8MiB 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

7 calls:

22.0ms	d
1.0ms	h
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	M
1.0ms	l

Results

Accuracy	Segments	Branch
29.3%	1	`h`
29.3%	1	`d`
29.3%	1	`D`
29.3%	1	`l`
29.3%	1	`(*.f64 M D)`
29.3%	1	`M`
29.3%	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))))`

Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch154.0ms (0.7%)

Memory

13.1MiB live, 92.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
77.0ms	4.920674648439211e+204	4.404297036648248e+206
65.0ms	-2.707675847557697e-294	6.05232074595839e-309

Samples

94.0ms	272×	0	valid
30.0ms	257×	0	invalid

Compiler

Compiled 1 295 to 849 computations (34.4% saved)

Precisions

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

ival-div: 18.0ms (28.5% of total)

ival-mult: 16.0ms (25.3% of total)

ival-pow2: 14.0ms (22.1% of total)

ival-pow: 12.0ms (19% of total)

ival-sub: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

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

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

bsearch50.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	4.920674648439211e+204	4.404297036648248e+206
1.0ms	-2.707675847557697e-294	6.05232074595839e-309
41.0ms	-1.5529595665636774e-59	-2.8408390043891483e-61

Samples

17.0ms	112×	0	valid
16.0ms	136×	0	invalid

Compiler

Compiled 1 856 to 1 207 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 8.0ms (32.6% of total)

ival-mult: 8.0ms (32.6% of total)

ival-pow: 5.0ms (20.4% of total)

ival-pow2: 2.0ms (8.2% of total)

ival-sub: 1.0ms (4.1% 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

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-3.2458727662396097e-29	-1.6131504687556596e-90

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-1.6131504687556596e-90	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-1.6131504687556596e-90	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-3.2458727662396097e-29	-1.6131504687556596e-90

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-8.097967474018906e+41	-1.4255689571701322e+32

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-3.2458727662396097e-29	-1.6131504687556596e-90

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-5.414047611646968e+174	-2.7453965567962683e+162

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-8.097967474018906e+41	-1.4255689571701322e+32

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch29.0ms (0.1%)

Memory

-37.7MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-8.097967474018906e+41	-1.4255689571701322e+32

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-5.414047611646968e+174	-2.7453965567962683e+162

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-5.3198919716421016e+63	-1.2425152436732081e+42

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch320.0ms (1.5%)

Memory

31.7MiB live, 186.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
108.0ms	5.5824130562306816e+53	2.703811493256559e+65
87.0ms	-2.558951797194453e-307	2.67393256003212e-302
71.0ms	-6.496046237196271e-222	-4.0433909745027116e-225

Samples

156.0ms	432×	0	valid
82.0ms	423×	0	invalid

Compiler

Compiled 1 356 to 901 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-mult: 85.0ms (55.3% of total)

ival-div: 29.0ms (18.9% of total)

ival-pow: 26.0ms (16.9% of total)

ival-pow2: 8.0ms (5.2% of total)

ival-sub: 4.0ms (2.6% of total)

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

exact: 1.0ms (0.7% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-3.2458727662396097e-29	-1.6131504687556596e-90

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-2.7453965567962683e+162	-1.589058958835588e+126

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-1.6131504687556596e-90	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-1.6131504687556596e-90	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.788463169900471e+268	+inf
0.0ms	-0.0	8.833860539034873e-254
0.0ms	-1.6131504687556596e-90	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6131504687556596e-90	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch116.0ms (0.5%)

Memory

-16.5MiB live, 56.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
113.0ms	5.738558346339129e-235	1.785129990167942e-234

Samples

96.0ms	70×	0	invalid
12.0ms	80×	0	valid

Compiler

Compiled 193 to 140 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-pow: 65.0ms (63.3% of total)

ival-div: 31.0ms (30.2% of total)

ival-mult: 5.0ms (4.9% of total)

ival-sub: 1.0ms (1% of total)

ival-pow2: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.2458727662396097e-29	-1.6131504687556596e-90

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6131504687556596e-90	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6131504687556596e-90	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

simplify102.0ms (0.5%)

Memory

3.0MiB live, 89.4MiB allocated

Algorithm

1×	egg-herbie

Rules

284×	`*-commutative_binary64`
230×	`neg-mul-1_binary64`
160×	`unsub-neg_binary64`
148×	`distribute-rgt-neg-in_binary64`
144×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	6545
1	467	6545
2	534	6545
3	609	6545
4	701	6545
5	761	6545
6	934	6545
7	1182	6545
8	1197	6545

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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))))) (if (<=.f64 d #s(literal 440000000000000002855547192409530851521582629085478468379591395682091911813316927322316951147545053273258890005755714173696733272719002425375478561475339593019945555423595213308609048177858194356036008148992 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 d #s(literal -524682904356589/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 d #s(literal 2 binary64)) l)) (.f64 M (.f64 (/.f64 D (.f64 d #s(literal 2 binary64))) h)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 d #s(literal 440000000000000002855547192409530851521582629085478468379591395682091911813316927322316951147545053273258890005755714173696733272719002425375478561475339593019945555423595213308609048177858194356036008148992 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.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 (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))))
(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 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 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))))) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) (fma.f64 (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (.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))))))
(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 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l 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 +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)))) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) (fma.f64 (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (.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))))))
(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 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l 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 +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)))) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) d) (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 -7136238463529799/356811923176489970264571492362373784095686656 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M D) (/.f64 (.f64 D (.f64 M (.f64 h #s(literal -1/2 binary64)))) l)) d) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64))) (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 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)))) (fabs.f64 (/.f64 d (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 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) (/.f64 #s(approx ( (sqrt (/ d h)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l 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 +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)))) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l))) d) (sqrt.f64 (*.f64 h l)))))))
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Outputs
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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 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l 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 +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)))) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) (fma.f64 (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (.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))))))
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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 -4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 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)))) (fabs.f64 (/.f64 d (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 h l) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))) #s(literal -4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 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)))) (fabs.f64 (/.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 l))))

soundness2.9s (13.5%)

Memory

53.7MiB live, 2 453.4MiB allocated

Rules

9 200×	`lower-*.f64`
9 200×	`lower-*.f32`
8 514×	`lower-*.f64`
8 514×	`lower-*.f32`
7 954×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	19834
1	1090	19204
2	3936	19060
0	8444	18649
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125
0	98	478
0	159	424
1	509	378
2	3989	356
0	8367	356
0	75	340
0	127	312
1	410	276
2	2997	271
0	9767	271
0	255	15283
1	728	14886
2	2600	14826
3	5717	14760
0	8232	14520
0	404	21363
1	1186	20873
2	4284	20785
0	8060	20308
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58
0	101	482
0	161	449
1	560	406
2	4642	386
0	8314	379

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×	node 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

Compiler

Compiled 9 404 to 2 604 computations (72.3% saved)

preprocess181.0ms (0.8%)

Memory

-8.7MiB live, 419.1MiB allocated

Remove

(sort M D)

(abs M)

(abs D)

Compiler

Compiled 9 406 to 852 computations (90.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated