Metrics for Henrywood and Agarwal, Equation (12)

analyze474.0ms (2.1%)

Memory

-0.4MiB live, 709.0MiB 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 (26.5%)

Memory

51.2MiB live, 6 513.0MiB allocated

Samples

2.5s	13 422×	0	invalid
1.7s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-div: 1.1s (35.2% of total)

ival-mult: 986.0ms (30.2% of total)

ival-pow: 737.0ms (22.6% of total)

ival-pow2: 242.0ms (7.4% of total)

ival-sub: 107.0ms (3.3% of total)

exact: 22.0ms (0.7% of total)

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

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

Bogosity

preprocess309.0ms (1.4%)

Memory

-35.5MiB live, 259.8MiB 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)

explain409.0ms (1.8%)

Memory

20.9MiB live, 580.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
72	-	1	(-2.829992962687004e-296 -5.8550513201203144e-133 -8.592894633026359e+27 6.840404347572618e-235 4.836717477476415e-20)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
69	-	2	(6.305517118458593e-212 3.882224359996675e+102 1.724370207506358e-195 2.570588980085996e-20 8.175333668464243e+26)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
46	-	1	(2.85534688608319e-87 6.497604120818072e-139 4.323972957021793e-286 5.5511611243493895e-143 3.8251381262516215e-100)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
28	-	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))))`
19	-	2	(1.215687692434064e-140 4.4470791352252955e-145 2.685856767337324e+300 7.735953848830837e-278 4.754003284322912e-36)	`(/.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)))`	uflow-rescue	39	0
↳	`(/.f64 d l)`	underflow	39
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	37	0
↳	`(/.f64 d h)`	underflow	37
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	32	0
↳	`(/.f64 d l)`	overflow	32
`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
`*.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**	15	0
↳	`(/.f64 d h)`	underflow	37
↳	`(/.f64 d l)`	underflow	39
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	21
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	90
↳	`(.f64 (/.f64 #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	90
↳	`(/.f64 h l)`	overflow	30
↳	`(-.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	82
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	82
↳	`(*.f64 M D)`	overflow	27
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	43
`*.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**	13	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))))`	*no**	12	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	10	0
↳	`(*.f64 M D)`	overflow	27
`*.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**	6	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	90
↳	`(.f64 (/.f64 #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	90
↳	`(*.f64 M D)`	overflow	27
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	43
↳	`(/.f64 h l)`	underflow	30
`*.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**	1	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))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	80
↳	`(.f64 (/.f64 #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	80
↳	`(*.f64 M D)`	underflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	42
↳	`(/.f64 h l)`	overflow	30

Confusion

	Predicted +	Predicted -
+	94	8
-	32	122

Precision

0.746031746031746

Recall

0.9215686274509803

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	94	0	8
-	32	0	122

Precision?

0.746031746031746

Recall?

0.9215686274509803

Freqs

test

number	freq
0	130
1	75
2	33
3	17
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

165.0ms

512×

valid

Compiler

Compiled 392 to 92 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 28.0ms (38% of total)

ival-pow: 20.0ms (27.1% of total)

ival-mult: 17.0ms (23.1% of total)

ival-pow2: 5.0ms (6.8% of total)

ival-sub: 2.0ms (2.7% of total)

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

exact: 1.0ms (1.4% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.4%	(.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))))

Status

Accuracy

Program

▶

61.4%

(*.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)

simplify196.0ms (0.9%)

Memory

7.2MiB live, 396.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize103.0ms (0.5%)

Memory

-26.8MiB live, 131.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	89.3%	(.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))))
✓	accuracy	83.4%	(.f64 (.f64 (/.f64 #s(literal 1 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	74.9%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	73.4%	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

67.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

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

ival-pow: 31.0ms (58% of total)

ival-mult: 10.0ms (18.7% of total)

ival-div: 9.0ms (16.8% of total)

ival-pow2: 2.0ms (3.7% of total)

ival-sub: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (0.3%)

Memory

21.2MiB live, 106.6MiB allocated

Counts

6 → 204

Calls

Call 1

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

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

51 calls:

Time	Variable		Point	Expression
9.0ms	l	@	0	(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
7.0ms	h	@	-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))
3.0ms	M	@	inf	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
2.0ms	D	@	0	(pow (/ (* M D) (* 2 d)) 2)

simplify277.0ms (1.2%)

Memory

9.4MiB live, 569.5MiB 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)))
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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)))))
(* 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 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) 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 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) 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 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) 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))))

rewrite341.0ms (1.5%)

Memory

14.3MiB live, 544.3MiB allocated

Algorithm

1×	batch-egg-rewrite

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

eval140.0ms (0.6%)

Memory: -18.9MiB live, 241.3MiB allocated
Compiler: Compiled 32 235 to 2 662 computations (91.7% saved)

prune176.0ms (0.8%)

Memory

0.8MiB live, 439.9MiB 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

87.7%

Counts

810 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.4%	(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))) h) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
▶	20.8%	(/.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)))
	32.3%	(/.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))
	22.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	29.9%	(/.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))
	46.3%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	47.3%	(/.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)))
	28.7%	(.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))))
	55.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	63.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (.f64 d (/.f64 #s(literal 2 binary64) (.f64 M D))))))
	53.0%	(.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 D) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))
▶	65.9%	(.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 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)))))
	50.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l))))
	63.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 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)))))
	58.0%	(.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)) (/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))) (/.f64 h l))))
	61.5%	(.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)) (.f64 (/.f64 (.f64 M D) d) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 2 binary64) (*.f64 M D))))) (/.f64 h l))))
	59.1%	(.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 1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	40.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M)))) (.f64 d (*.f64 d l))))))
	31.8%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	36.6%	(.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))))
	61.4%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	30.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	40.7%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	16.3%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (.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))))
	29.9%	(.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)))
	46.7%	(.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)))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
▶	31.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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))
	15.8%	#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 (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	15.2%	#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 D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	22.8%	#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)))
	27.4%	#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))))))
	3.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 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)))))
▶	32.3%	#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 2 688 to 1 610 computations (40.1% saved)

simplify192.0ms (0.9%)

Memory

-1.3MiB live, 322.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

9 860×	`lower-*.f32`
9 800×	`lower-*.f64`
1 944×	`lower-/.f32`
1 914×	`lower-/.f64`
1 742×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	787
0	160	758
1	305	732
2	879	694
3	5589	694
0	8252	684

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

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

localize310.0ms (1.4%)

Memory

-12.6MiB live, 500.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 M D)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) d)
✓	accuracy	100.0%	(sqrt.f64 l)
✓	accuracy	100.0%	(sqrt.f64 d)
✓	accuracy	100.0%	(sqrt.f64 (neg.f64 h))
✓	accuracy	100.0%	(sqrt.f64 (neg.f64 d))
✓	accuracy	100.0%	(neg.f64 h)
✓	accuracy	100.0%	(neg.f64 d)
✓	accuracy	100.0%	(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 h l))
✓	accuracy	100.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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))
✓	accuracy	100.0%	(*.f64 h l)
✓	accuracy	100.0%	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
✓	accuracy	100.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
✓	accuracy	100.0%	(*.f64 d #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 M (.f64 D #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 M D)
✓	accuracy	100.0%	(*.f64 D #s(literal 1/2 binary64))

Samples

152.0ms

256×

invalid

Compiler

Compiled 795 to 80 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 47.0ms (42.6% of total)

ival-div: 27.0ms (24.5% of total)

ival-pow: 14.0ms (12.7% of total)

ival-sqrt: 12.0ms (10.9% of total)

ival-pow2: 3.0ms (2.7% of total)

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

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

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

exact: 1.0ms (0.9% of total)

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

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

series160.0ms (0.7%)

Memory

17.0MiB live, 202.3MiB allocated

Counts

32 → 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 #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)) (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 (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)) #<representation binary64>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())
#s(alt (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))))))) (patch (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))))))) #<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 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (.f64 D #s(literal 1/2 binary64)) (patch (.f64 D #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 M D) (patch (.f64 M D) #<representation binary64>) () ())
#s(alt (.f64 M (.f64 D #s(literal 1/2 binary64))) (patch (.f64 M (.f64 D #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 d #s(literal 2 binary64)) (patch (.f64 d #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 h l) (patch (.f64 h l) #<representation binary64>) () ())
#s(alt (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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (patch (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) #<representation binary64>) () ())
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())
#s(alt (neg.f64 h) (patch (neg.f64 h) #<representation binary64>) () ())
#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())
#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())
#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) d) (patch (.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())

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

Calls

252 calls:

Time	Variable		Point	Expression
12.0ms	D	@	0	(* M D)
7.0ms	h	@	0	(/ (/ (* M D) (* d 2)) (/ 1 h))
5.0ms	d	@	inf	(+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)
4.0ms	l	@	0	(/ 1 (* h l))
2.0ms	d	@	0	(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)

simplify409.0ms (1.8%)

Memory

30.7MiB live, 582.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 240×	`lower-*.f64`
9 240×	`lower-*.f32`
5 604×	`lower-fma.f64`
5 604×	`lower-fma.f32`
3 882×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	16234
1	1109	15688
2	3957	15573
0	8487	15243

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

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

rewrite416.0ms (1.9%)

Memory

21.6MiB live, 686.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 624×	`lower-*.f32`
4 574×	`lower-*.f64`
4 130×	`lower-/.f32`
4 106×	`lower-/.f64`
2 148×	`lower-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	398
0	137	367
1	408	331
2	2680	318
0	8787	318

Stop Event

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

Counts

32 → 1 004

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

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.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 h))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (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 d h) (/.f64 d 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 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (sqrt.f64 d) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 h)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 h))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d))
(.f64 (pow.f64 (.f64 d #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(.f64 (sqrt.f64 (.f64 d #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d 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))))
(exp.f64 (-.f64 (.f64 (log.f64 d) #s(literal 1/2 binary64)) (.f64 (log.f64 l) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 l d) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 (sqrt.f64 d) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (neg.f64 (sqrt.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 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(*.f64 (sqrt.f64 d) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 l)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 d))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 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)))
(/.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))))))
(/.f64 (.f64 M D) (.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 h) (neg.f64 (/.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 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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) (neg.f64 (/.f64 (.f64 (/.f64 d h) #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 (.f64 D (neg.f64 M)) (neg.f64 (.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (.f64 D (neg.f64 M)) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (/.f64 d h))
(/.f64 (/.f64 (.f64 M D) d) (.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 D (neg.f64 M)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d h))
(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (neg.f64 (.f64 D (neg.f64 M))) (neg.f64 (neg.f64 (.f64 (/.f64 d h) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 D (neg.f64 M))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64))) (neg.f64 (/.f64 d h)))
(/.f64 (neg.f64 (/.f64 (.f64 M D) d)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 D (neg.f64 M)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d)
(/.f64 (.f64 (/.f64 (.f64 M D) d) h) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) h)) (.f64 d #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 M D) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 D (neg.f64 M)) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h))))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 d h)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h))))
(/.f64 (neg.f64 (.f64 (.f64 M D) h)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 D (neg.f64 M)) h)) (neg.f64 (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) h)) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M D) d) h)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) h))) (.f64 d #s(literal -2 binary64)))
(pow.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
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(.f64 (pow.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (*.f64 h h))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 h) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 h (.f64 l l)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 h h) l) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 h h) l) #s(literal 1/2 binary64)) (pow.f64 (/.f64 h (*.f64 l l)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 h h) l)) (sqrt.f64 (/.f64 h (*.f64 l l))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l l))) (sqrt.f64 (/.f64 (*.f64 h h) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (sqrt.f64 h))) (*.f64 l (sqrt.f64 l)))
(/.f64 (.f64 (.f64 h (sqrt.f64 h)) #s(literal -1/8 binary64)) (*.f64 l (sqrt.f64 l)))
(/.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (sqrt.f64 h)))) (neg.f64 (*.f64 l (sqrt.f64 l))))
(/.f64 (neg.f64 (.f64 (.f64 h (sqrt.f64 h)) #s(literal -1/8 binary64))) (neg.f64 (*.f64 l (sqrt.f64 l))))
(.f64 #s(literal -1/8 binary64) (.f64 h (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))
(.f64 (.f64 h (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) #s(literal -1/8 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 d))
(-.f64 #s(literal 0 binary64) d)
(neg.f64 d)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 d (.f64 d d))) (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (+.f64 #s(literal 0 binary64) d))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 d (.f64 d d)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d))) (neg.f64 (+.f64 #s(literal 0 binary64) d)))
(*.f64 d #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) d)
(+.f64 #s(literal 0 binary64) (neg.f64 h))
(-.f64 #s(literal 0 binary64) h)
(neg.f64 h)
(/.f64 (neg.f64 (.f64 h (.f64 h h))) (+.f64 #s(literal 0 binary64) (fma.f64 h h (*.f64 #s(literal 0 binary64) h))))
(/.f64 (neg.f64 (neg.f64 (.f64 h (.f64 h h)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 h h (*.f64 #s(literal 0 binary64) h)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 h h)) (+.f64 #s(literal 0 binary64) h))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 h h))) (neg.f64 (+.f64 #s(literal 0 binary64) h)))
(*.f64 h #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) h)
(exp.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)))
(sqrt.f64 d)
(sqrt.f64 (neg.f64 d))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 d (.f64 d d)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d))) (sqrt.f64 (+.f64 #s(literal 0 binary64) d)))
(pow.f64 d #s(literal 1/2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 d) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 d))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 d) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64)))
(sqrt.f64 (neg.f64 h))
(/.f64 (.f64 h (sqrt.f64 (neg.f64 h))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 h h (.f64 #s(literal 0 binary64) h)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 h h))) (sqrt.f64 (+.f64 #s(literal 0 binary64) h)))
(pow.f64 (neg.f64 h) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 h) (neg.f64 h)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 h))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(*.f64 (sqrt.f64 h) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)))
(sqrt.f64 d)
(sqrt.f64 (neg.f64 d))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 d (.f64 d d)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d))) (sqrt.f64 (+.f64 #s(literal 0 binary64) d)))
(pow.f64 d #s(literal 1/2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 d) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 d))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 d) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)))
(sqrt.f64 l)
(pow.f64 l #s(literal 1/2 binary64))
(pow.f64 (*.f64 l l) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 l #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 l #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64)))
(*.f64 d #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) d)

eval275.0ms (1.2%)

Memory: 19.6MiB live, 659.8MiB allocated
Compiler: Compiled 79 225 to 5 064 computations (93.6% saved)

prune436.0ms (2%)

Memory

-10.8MiB live, 740.0MiB allocated

Pruning

63 alts after pruning (62 fresh and 1 done)

	Pruned	Kept	Total
New	2 110	40	2 150
Fresh	8	22	30
Picked	4	1	5
Done	0	0	0
Total	2 122	63	2 185

Accuracy

93.2%

Counts

2 185 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.4%	(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))) h) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	19.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) M) (/.f64 (.f64 M (.f64 D D)) (.f64 d (.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	27.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 D (/.f64 (.f64 M (.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	18.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (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)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	20.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (*.f64 d d)) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	16.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) l)) (.f64 d d)) (.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	22.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	29.9%	(/.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))
	46.3%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	47.3%	(/.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)))
	16.3%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	4.6%	(/.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)))
	28.7%	(.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))))
	26.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	55.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
	53.0%	(.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 D) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))
	63.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 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)))))
	58.0%	(.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)) (/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))) (/.f64 h l))))
	61.5%	(.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)) (.f64 (/.f64 (.f64 M D) d) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 2 binary64) (*.f64 M D))))) (/.f64 h l))))
	59.1%	(.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 1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	31.8%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	41.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	33.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
	31.9%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (/.f64 #s(literal 1/8 binary64) (.f64 d (*.f64 d l)))))))
▶	66.2%	(.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 (.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)))))
	65.9%	(.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)))))
	61.4%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	30.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	43.0%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	16.3%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (.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))))
	40.4%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	46.7%	(.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)))
	36.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	30.6%	(.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	16.2%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
	27.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 l l)) l)))))))))
▶	15.5%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (neg.f64 (.f64 M M)) (/.f64 (*.f64 D D) d)))))
	22.8%	#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))))))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
	37.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 h (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	56.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 binary64))))) h))
	56.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
	56.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (exp.f64 (.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) h))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 h) d) (.f64 l (sqrt.f64 l)) (.f64 (sqrt.f64 l) (.f64 (.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) d) #s(literal -1/8 binary64))) (.f64 h (sqrt.f64 h))))) (.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 l)))) h))
▶	21.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
	14.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	36.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
▶	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	37.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 h (fma.f64 (.f64 h (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) (.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) d) #s(literal -1/8 binary64))) (.f64 d (sqrt.f64 (/.f64 h l)))))))
	15.8%	#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 (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	15.2%	#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 D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	3.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 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)))))
	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (pow.f64 (.f64 h l) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
	3.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	32.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	32.3%	#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 (/.f64 #s(literal 1 binary64) l) h))))
	32.3%	#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 (/.f64 #s(literal 1 binary64) h) l))))
✓	32.3%	#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)))))
	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h 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 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))

Compiler

Compiled 4 146 to 2 530 computations (39% saved)

simplify208.0ms (0.9%)

Memory

1.6MiB live, 319.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

8 926×	`lower-*.f32`
8 864×	`lower-*.f64`
3 336×	`lower-/.f32`
3 298×	`lower-/.f64`
1 630×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1161
0	193	1094
1	399	1070
2	1340	1021
3	5884	1019
0	8433	1005

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

Outputs
(.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 (.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 (sqrt.f64 (/.f64 d h)) (fma.f64 h (/.f64 (.f64 (.f64 M (.f64 D (/.f64 #s(literal 1/4 binary64) d))) (.f64 M D)) (.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(*.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 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l 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))))
(fma.f64 h (/.f64 (.f64 (.f64 M (.f64 D (/.f64 #s(literal 1/4 binary64) d))) (.f64 M D)) (.f64 (.f64 d l) #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 M (.f64 D #s(literal 1/4 binary64))) (.f64 d l)) (.f64 h (.f64 M D))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (*.f64 d l))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(.f64 M (.f64 D (/.f64 #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 h (.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h 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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (neg.f64 (.f64 M M)) (/.f64 (*.f64 D D) 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 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) #s(literal 1/8 binary64)) (.f64 D (.f64 M (*.f64 M D)))) d))
(.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (neg.f64 (.f64 M M)) (/.f64 (*.f64 D D) d))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) #s(literal 1/8 binary64)) (.f64 D (.f64 M (*.f64 M D)))) d)
#s(literal -1/8 binary64)
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (neg.f64 (.f64 M M)) (/.f64 (.f64 D D) d)))
(neg.f64 (.f64 (/.f64 (.f64 D D) d) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 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 (neg.f64 (.f64 M M)) (/.f64 (*.f64 D D) d))
(/.f64 (.f64 D (.f64 M (*.f64 M D))) (neg.f64 d))
(neg.f64 (*.f64 M M))
(*.f64 M M)
M
(/.f64 (*.f64 D D) d)
(*.f64 D D)
D
d
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) 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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 D (.f64 M (.f64 M D))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 D (.f64 M (.f64 M D))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 D (.f64 M (.f64 M D))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 D (.f64 M (.f64 M D))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
(fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 D (.f64 M (.f64 M D))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l))))
#s(literal -1/8 binary64)
(.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))
(.f64 D (.f64 (.f64 M (.f64 M D)) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))))
(.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
(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))
h
(*.f64 h h)
(.f64 l (.f64 l l))
l
(*.f64 l l)
(.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))
(*.f64 d d)
d
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (.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 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (.f64 (.f64 l l) (.f64 d (.f64 d #s(literal 4 binary64))))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (.f64 d d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (fma.f64 (.f64 h #s(literal 1/2 binary64)) (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (.f64 l l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (.f64 (.f64 l l) (.f64 d (.f64 d #s(literal 4 binary64))))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (.f64 d d))) #s(literal 1 binary64)) (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))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l)))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (.f64 (.f64 l l) (.f64 d (.f64 d #s(literal 4 binary64))))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (.f64 d d))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))
(/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (.f64 d d))) (.f64 (.f64 M D) (.f64 h (.f64 M D)))) (.f64 (.f64 l l) (.f64 d (*.f64 d #s(literal 4 binary64)))))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h)))
(.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal 4 binary64)))) (.f64 h (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (*.f64 d d)))))
#s(literal 1/4 binary64)
(.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64))) h))
(.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 h h) (.f64 D (.f64 M (.f64 M D)))) (.f64 d (*.f64 d #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h)
(/.f64 (.f64 (.f64 M D) (.f64 h (.f64 M D))) (.f64 d (.f64 d #s(literal 4 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 d (*.f64 d #s(literal 4 binary64))))
(.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 d (.f64 d #s(literal 4 binary64)))
(*.f64 d d)
d
#s(literal 4 binary64)
h
(*.f64 l l)
l
(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
(/.f64 (.f64 d d) (.f64 h l))
(*.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 #s(literal 1 binary64) (fma.f64 (.f64 h #s(literal 1/2 binary64)) (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (.f64 h #s(literal 1/2 binary64)) (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 h l))
#s(literal 1/2 binary64)
(/.f64 h l)

localize355.0ms (1.6%)

Memory

-6.1MiB live, 531.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.5%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))
✓	accuracy	89.3%	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
✓	accuracy	85.3%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (.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))))
✓	accuracy	82.8%	(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
✓	accuracy	92.3%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
✓	accuracy	91.4%	(.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))))
✓	accuracy	88.6%	(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
✓	accuracy	87.9%	(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
✓	accuracy	91.2%	(.f64 (neg.f64 (.f64 M M)) (/.f64 (*.f64 D D) d))
✓	accuracy	90.8%	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (neg.f64 (.f64 M M)) (/.f64 (.f64 D D) d)))
✓	accuracy	86.2%	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
✓	accuracy	80.3%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (neg.f64 (.f64 M M)) (/.f64 (*.f64 D D) d)))))
✓	accuracy	100.0%	(*.f64 h l)
✓	accuracy	99.8%	(/.f64 d (sqrt.f64 (*.f64 h l)))
✓	accuracy	88.0%	(sqrt.f64 (*.f64 h l))
✓	accuracy	60.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
✓	accuracy	95.8%	(.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 (.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	95.2%	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
✓	accuracy	90.1%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	86.4%	(sqrt.f64 (/.f64 l d))

Samples

122.0ms	145×	0	invalid
94.0ms	111×	0	valid

Compiler

Compiled 1 026 to 106 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 65.0ms (37.4% of total)

ival-div: 60.0ms (34.5% of total)

ival-sqrt: 14.0ms (8.1% of total)

ival-sub: 13.0ms (7.5% of total)

ival-pow: 11.0ms (6.3% of total)

ival-add: 4.0ms (2.3% of total)

ival-neg: 3.0ms (1.7% of total)

ival-pow2: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series228.0ms (1%)

Memory

-16.8MiB live, 248.3MiB allocated

Counts

28 → 1 224

Calls

Call 1

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

Calls

306 calls:

Time	Variable		Point	Expression
14.0ms	M	@	0	(* -1/8 (* (sqrt (/ h (* l (* l l)))) (* (neg (* M M)) (/ (* D D) d))))
3.0ms	M	@	inf	(/ (* 1/4 (* (* (/ (* M (* D (* M D))) (* (* d d) 4)) h) (* (/ (* M (* D (* M D))) (* (* d d) 4)) h))) (* l l))
3.0ms	h	@	inf	(* (* (- 1 (/ (* 1/4 (* (* (/ (* M (* D (* M D))) (* (* d d) 4)) h) (* (/ (* M (* D (* M D))) (* (* d d) 4)) h))) (* l l))) (sqrt (/ (* d d) (* h l)))) (/ 1 (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* 1/2 (/ h l))) 1)))
3.0ms	M	@	0	(/ (* 1/4 (* (* (/ (* M (* D (* M D))) (* (* d d) 4)) h) (* (/ (* M (* D (* M D))) (* (* d d) 4)) h))) (* l l))
3.0ms	D	@	0	(/ (* 1/4 (* (* (/ (* M (* D (* M D))) (* (* d d) 4)) h) (* (/ (* M (* D (* M D))) (* (* d d) 4)) h))) (* l l))

simplify389.0ms (1.7%)

Memory

28.2MiB live, 645.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 638×	`lower-*.f64`
7 638×	`lower-*.f32`
3 952×	`lower-fma.f64`
3 952×	`lower-fma.f32`
3 474×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	21984
1	696	21179
2	2486	21125
3	5579	20590
0	8766	20230

Stop Event

1×	iter limit
1×	node limit

Counts

1 224 → 1 224

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

rewrite329.0ms (1.5%)

Memory

-7.6MiB live, 624.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 736×	`lower-*.f32`
4 674×	`lower-*.f64`
2 938×	`lower-/.f32`
2 900×	`lower-/.f64`
2 020×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	716
0	193	574
1	659	506
2	5577	490
0	8063	482

Stop Event

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

Counts

28 → 850

Calls

Call 1

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

eval655.0ms (2.9%)

Memory: -78.2MiB live, 691.6MiB allocated
Compiler: Compiled 107 815 to 4 557 computations (95.8% saved)

prune626.0ms (2.8%)

Memory

-33.1MiB live, 907.8MiB allocated

Pruning

68 alts after pruning (66 fresh and 2 done)

	Pruned	Kept	Total
New	2 343	27	2 370
Fresh	18	39	57
Picked	4	1	5
Done	0	1	1
Total	2 365	68	2 433

Accuracy

94.4%

Counts

2 433 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.4%	(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))) h) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	32.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 #s(literal 4 binary64) (.f64 d d))))) d) (sqrt.f64 (.f64 h l)))
	19.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (/.f64 (.f64 h #s(literal -1/2 binary64)) l) M) (/.f64 (.f64 M (.f64 D D)) (.f64 d (.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	27.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 D (/.f64 (.f64 M (.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
▶	18.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (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)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	20.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (*.f64 d d)) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	16.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) l)) (.f64 d d)) (.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	22.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	46.3%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	47.3%	(/.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)))
	16.3%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	4.6%	(/.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)))
	28.7%	(.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))))
	26.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	53.0%	(.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 D) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))
	58.0%	(.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)) (/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))) (/.f64 h l))))
	31.8%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	41.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	33.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
	31.9%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (/.f64 #s(literal 1/8 binary64) (.f64 d (*.f64 d l)))))))
	34.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))) (-.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)))))
	62.5%	(.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 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
	63.5%	(.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 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)))))
	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 M d) (/.f64 (.f64 D #s(literal 1/4 binary64)) l)) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
▶	66.2%	(.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) l) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	30.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	32.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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)))))
	44.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	17.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (.f64 l l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.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)) #s(literal 1 binary64))))
	16.3%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) h))) (.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))))
	47.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 #s(literal 4 binary64) (.f64 d d))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	46.7%	(.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)))
	36.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	66.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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)))))
	21.0%	(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (sqrt.f64 (neg.f64 d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 #s(literal 4 binary64) (.f64 d d)))))) (sqrt.f64 (neg.f64 h))))
	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 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
▶	15.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	16.2%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
	22.8%	#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)))
	18.2%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
	27.8%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 (.f64 h h) l)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 l l)) l)))))))))
	16.7%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 M M))) (*.f64 D D)) d)))
	16.1%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (neg.f64 (.f64 M M)) (/.f64 (.f64 D D) d)))))
	16.7%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 M M))) (.f64 D D)) (/.f64 #s(literal 1 binary64) d))))
	16.9%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	56.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 binary64))))) h))
	56.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
	56.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (exp.f64 (.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) h))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 h) d) (.f64 l (sqrt.f64 l)) (.f64 (sqrt.f64 l) (.f64 (.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) d) #s(literal -1/8 binary64))) (.f64 h (sqrt.f64 h))))) (.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 l)))) h))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
▶	36.4%	#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(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
	14.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	36.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	31.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	36.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (pow.f64 (.f64 h l) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
	3.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	32.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	32.3%	#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 (/.f64 #s(literal 1 binary64) l) h))))
	32.3%	#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 (/.f64 #s(literal 1 binary64) h) l))))
✓	32.3%	#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)))))
	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
▶	29.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))

Compiler

Compiled 4 350 to 2 676 computations (38.5% saved)

simplify286.0ms (1.3%)

Memory

26.9MiB live, 385.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
✓	cost-diff	0	#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
✓	cost-diff	0	(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
✓	cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
✓	cost-diff	0	(sqrt.f64 (/.f64 d l))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (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))))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (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)))) (sqrt.f64 (neg.f64 d)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (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)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
✓	cost-diff	0	(/.f64 h (.f64 l (.f64 l l)))
✓	cost-diff	0	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
✓	cost-diff	0	(.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)))
✓	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 (sqrt.f64 (/.f64 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 d (*.f64 h l))
✓	cost-diff	0	(.f64 d (/.f64 d (.f64 h l)))
✓	cost-diff	0	(sqrt.f64 (.f64 d (/.f64 d (.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)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
✓	cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))
✓	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

6 956×	`lower-*.f32`
6 904×	`lower-*.f64`
3 662×	`lower-/.f32`
3 626×	`lower-/.f64`
3 056×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	972
0	188	943
1	371	923
2	1174	907
3	4057	907
4	5964	907
0	8094	895

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

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

localize403.0ms (1.8%)

Memory

15.7MiB live, 651.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.0%	(sqrt.f64 (/.f64 h l))
✓	accuracy	92.3%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
✓	accuracy	91.4%	(.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))))
✓	accuracy	88.6%	(sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))
✓	accuracy	96.5%	(.f64 h (.f64 M M))
✓	accuracy	91.3%	(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))
✓	accuracy	87.6%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
✓	accuracy	86.4%	(sqrt.f64 (/.f64 d l))
✓	accuracy	95.6%	(.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))
✓	accuracy	90.6%	(.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)))
✓	accuracy	86.2%	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
✓	accuracy	80.3%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
✓	accuracy	99.2%	(.f64 d (/.f64 d (.f64 h l)))
✓	accuracy	96.8%	(/.f64 d (*.f64 h l))
✓	accuracy	82.8%	(sqrt.f64 (.f64 d (/.f64 d (.f64 h l))))
✓	accuracy	78.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
✓	accuracy	95.8%	(.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) l) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
✓	accuracy	95.2%	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
✓	accuracy	90.1%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	86.4%	(sqrt.f64 (/.f64 l d))

Samples

103.0ms	145×	0	invalid
89.0ms	111×	0	valid

Compiler

Compiled 776 to 103 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 67.0ms (44.8% of total)

ival-div: 40.0ms (26.7% of total)

ival-sqrt: 14.0ms (9.4% of total)

ival-pow: 14.0ms (9.4% of total)

ival-add: 6.0ms (4% of total)

ival-pow2: 3.0ms (2% of total)

ival-sub: 2.0ms (1.3% of total)

ival-neg: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series119.0ms (0.5%)

Memory

-23.1MiB live, 246.1MiB allocated

Counts

29 → 1 248

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

Calls

312 calls:

Time	Variable		Point	Expression
6.0ms	M	@	-inf	(/ (* -1/8 (* h (* M M))) (* d (* d l)))
3.0ms	M	@	inf	(* (/ 1 l) (* (/ (* M D) d) 1/4))
1.0ms	h	@	0	(/ (* -1/8 (* h (* M M))) (* d (* d l)))
1.0ms	M	@	0	(/ (* -1/8 (* h (* M M))) (* d (* d l)))
1.0ms	l	@	0	(/ (* -1/8 (* h (* M M))) (* d (* d l)))

simplify454.0ms (2%)

Memory

8.1MiB live, 678.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 232×	`lower-*.f64`
9 232×	`lower-*.f32`
5 548×	`lower-fma.f64`
5 548×	`lower-fma.f32`
3 878×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	365	22561
1	1099	21817
2	3968	21694
0	8476	21241

Stop Event

1×	iter limit
1×	node limit

Counts

1 248 → 1 248

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

rewrite342.0ms (1.5%)

Memory

1.5MiB live, 568.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 920×	`lower-*.f32`
4 868×	`lower-*.f64`
3 052×	`lower-/.f32`
3 016×	`lower-/.f64`
2 620×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	674
0	188	640
1	613	580
2	4416	574
0	8231	564

Stop Event

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

Counts

29 → 579

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

eval492.0ms (2.2%)

Memory: 26.2MiB live, 436.4MiB allocated
Compiler: Compiled 55 737 to 2 556 computations (95.4% saved)

prune805.0ms (3.6%)

Memory

-5.0MiB live, 718.7MiB allocated

Pruning

72 alts after pruning (69 fresh and 3 done)

	Pruned	Kept	Total
New	1 801	26	1 827
Fresh	18	43	61
Picked	4	1	5
Done	0	2	2
Total	1 823	72	1 895

Accuracy

95.2%

Counts

1 895 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 M (.f64 D (.f64 M D)))) (.f64 l (.f64 #s(literal 4 binary64) (.f64 d d))))) d) (sqrt.f64 (.f64 h l)))
	18.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (*.f64 M M))) l) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	19.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 h M) M)) (.f64 d (.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	16.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D D)) l)) (.f64 d d)) (.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	22.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	16.3%	(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	4.6%	(/.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)))
	28.7%	(.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))))
	52.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) (.f64 M D)) (.f64 l (.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
	26.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	58.0%	(.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)) (/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))) (/.f64 h l))))
	31.8%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	41.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	33.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
	31.9%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (/.f64 #s(literal 1/8 binary64) (.f64 d (*.f64 d l)))))))
	34.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))) (-.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)))))
	62.5%	(.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 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
	63.5%	(.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 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)))))
	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 M d) (/.f64 (.f64 D #s(literal 1/4 binary64)) l)) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	30.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	32.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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)))))
	44.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	17.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (.f64 l l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.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)) #s(literal 1 binary64))))
	61.4%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) (.f64 M D)) (.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	44.5%	(.f64 (.f64 (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	41.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (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)))) (sqrt.f64 (/.f64 d h)))
	66.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	18.6%	(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (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))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
	34.8%	(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (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))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
	18.1%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) d))
	18.1%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (/.f64 #s(literal 1/8 binary64) d) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 M (.f64 M (*.f64 D D))))))
	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 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
	16.2%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	15.8%	#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 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
	17.3%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 M (.f64 M (.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
	17.3%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (*.f64 D D) M) M)) d)))
	16.3%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 (.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
	16.2%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
	22.8%	#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)))
	18.2%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
	28.6%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l (.f64 h h)) h))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) d))))
	16.7%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 M M))) (*.f64 D D)) d)))
	16.9%	#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
	32.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))))) d))
	56.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 h) d) (.f64 l (sqrt.f64 l)) (.f64 (sqrt.f64 l) (.f64 (.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) d) #s(literal -1/8 binary64))) (.f64 h (sqrt.f64 h))))) (.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 l)))) h))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
	42.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 h l))) (.f64 (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (.f64 M (.f64 M (*.f64 D D))) #s(literal -1/8 binary64)))) d)) h))
	43.3%	#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(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (.f64 M (.f64 M D))) (.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
	39.3%	#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(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M M) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D) (.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
	42.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (.f64 (fma.f64 d (.f64 d (sqrt.f64 (/.f64 h l))) (.f64 (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) d))) h))
	14.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
	36.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	31.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	36.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (pow.f64 (pow.f64 (.f64 h l) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
	3.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	32.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	32.3%	#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 (/.f64 #s(literal 1 binary64) l) h))))
	32.3%	#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 (/.f64 #s(literal 1 binary64) h) l))))
✓	32.3%	#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)))))
	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	23.1%	#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 (*.f64 d d) l) h)))
	23.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d l) h))))
	29.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d h) l))))
✓	29.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
	29.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))

Compiler

Compiled 5 774 to 1 903 computations (67% saved)

regimes286.0ms (1.3%)

Memory

8.8MiB live, 379.9MiB allocated

Counts

129 → 3

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

57.0ms	(*.f64 M D)
39.0ms	h
39.0ms	l
37.0ms	M
35.0ms	d

Results

Accuracy	Segments	Branch
81.7%	3	`d`
80.9%	3	`h`
81.4%	3	`l`
66.2%	1	`M`
66.2%	1	`D`
70.2%	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))))`
66.2%	1	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes105.0ms (0.5%)

Memory

0.5MiB live, 237.8MiB 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)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (/ (* (* (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)))) (sqrt.f64 (.f64 d (.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h 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(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 d (/.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 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)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 h) d) (.f64 l (sqrt.f64 l)) (.f64 (sqrt.f64 l) (.f64 (.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) d) #s(literal -1/8 binary64))) (.f64 h (sqrt.f64 h))))) (.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 l)))) h))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) (/.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 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 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(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 D (.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) 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 (pow.f64 (pow.f64 (.f64 h l) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) (/.f64 #s(literal 1/8 binary64) (.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)))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 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))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (.f64 l l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.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)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h))) (.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 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) h) (.f64 (.f64 (/.f64 (.f64 D (.f64 M D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) h))) (.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 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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 #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)))))
(.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 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.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 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 M d) (/.f64 (.f64 D #s(literal 1/4 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 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(.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) l) (.f64 (/.f64 (.f64 M 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 (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 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))

Outputs

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

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

Calls

3 calls:

33.0ms	d
32.0ms	l
32.0ms	h

Results

Accuracy	Segments	Branch
76.6%	2	`h`
79.0%	3	`l`
79.7%	3	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes33.0ms (0.2%)

Memory

5.7MiB live, 81.4MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
79.7%	3	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes87.0ms (0.4%)

Memory

2.3MiB live, 194.9MiB allocated

Counts

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

Calls

3 calls:

28.0ms	d
28.0ms	h
25.0ms	l

Results

Accuracy	Segments	Branch
74.8%	3	`h`
75.3%	3	`l`
78.4%	4	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes98.0ms (0.4%)

Memory

-20.1MiB live, 210.8MiB allocated

Counts

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

Outputs

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

36.0ms	d
30.0ms	h
26.0ms	l

Results

Accuracy	Segments	Branch
68.0%	2	`h`
70.4%	2	`l`
72.5%	4	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes177.0ms (0.8%)

Memory

-20.8MiB live, 335.2MiB allocated

Counts

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

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

Calls

7 calls:

25.0ms	l
24.0ms	d
24.0ms	(*.f64 M D)
24.0ms	M
24.0ms	h

Results

Accuracy	Segments	Branch
61.4%	1	`D`
61.4%	1	`(*.f64 M D)`
61.4%	1	`M`
63.3%	2	`h`
69.6%	4	`d`
68.0%	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))))`
68.1%	3	`l`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes77.0ms (0.3%)

Memory

13.7MiB live, 89.2MiB allocated

Counts

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

Calls

3 calls:

41.0ms

17.0ms

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

16.0ms

Results

Accuracy	Segments	Branch
64.0%	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))))`
64.2%	4	`d`
66.7%	4	`l`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes106.0ms (0.5%)

Memory

-0.2MiB live, 207.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

6 calls:

19.0ms	l
18.0ms	D
17.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
17.0ms	M
17.0ms	h

Results

Accuracy	Segments	Branch
64.0%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
57.5%	2	`D`
56.5%	2	`M`
59.6%	3	`(*.f64 M D)`
56.4%	3	`h`
64.3%	4	`l`

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes44.0ms (0.2%)

Memory

12.9MiB live, 90.0MiB allocated

Counts

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

Calls

3 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
61.8%	4	`d`
60.4%	4	`l`
54.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes92.0ms (0.4%)

Memory

-8.4MiB live, 109.1MiB 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)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (/ (* (* (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)))) (sqrt.f64 (.f64 d (.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h 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(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 d (/.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 (.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (*.f64 D D) 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 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 M (.f64 M (.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (/.f64 #s(literal 1/8 binary64) d) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 M (.f64 M (*.f64 D 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 (.f64 (.f64 M (.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (neg.f64 (.f64 M M)) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 M M))) (*.f64 D D)) 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 (neg.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) d) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
#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 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 M M))) (.f64 D D)) (/.f64 #s(literal 1 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 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 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 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (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))) (sqrt.f64 (.f64 d (/.f64 d (.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 #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (.f64 l l))) (.f64 (neg.f64 (.f64 M M)) (/.f64 (.f64 D D) 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 (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (/.f64 #s(literal 1/8 binary64) d) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 M (.f64 M (*.f64 D D))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (*.f64 D D) M) M)) d)))
(.f64 #s(approx (+ ( (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (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))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))

Calls

5 calls:

35.0ms	M
15.0ms	D
14.0ms	d
12.0ms	l
12.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
48.6%	2	`M`
57.3%	4	`l`
48.2%	5	`D`
48.9%	4	`(*.f64 M D)`
59.9%	5	`d`

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes37.0ms (0.2%)

Memory

-14.5MiB live, 24.3MiB allocated

Counts

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
58.0%	4	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes31.0ms (0.1%)

Memory

34.8MiB live, 34.8MiB allocated

Counts

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

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

Calls

3 calls:

10.0ms	d
9.0ms	l
9.0ms	h

Results

Accuracy	Segments	Branch
57.3%	4	`l`
46.7%	2	`h`
57.3%	4	`d`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes47.0ms (0.2%)

Memory

-10.8MiB live, 27.2MiB 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)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (/ (* (* (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)))) (sqrt.f64 (.f64 d (.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h 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(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 d (/.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (/.f64 (.f64 (.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (*.f64 D D) M) M)) d)))

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

Calls

2 calls:

36.0ms	l
9.0ms	d

Results

Accuracy	Segments	Branch
56.5%	4	`d`
56.9%	4	`l`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes36.0ms (0.2%)

Memory

2.7MiB live, 42.5MiB allocated

Counts

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

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

Calls

3 calls:

17.0ms

9.0ms

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
51.9%	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))))`
55.2%	4	`d`
56.1%	4	`l`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes37.0ms (0.2%)

Memory

-21.1MiB live, 17.0MiB allocated

Counts

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
55.7%	4	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes17.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB 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)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
#s(approx (/ (* (* (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)))) (sqrt.f64 (.f64 d (.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h 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(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 d (/.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
(/.f64 (.f64 #s(approx ( (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))

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

Calls

2 calls:

8.0ms	l
8.0ms	d

Results

Accuracy	Segments	Branch
50.0%	3	`d`
54.7%	4	`l`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes52.0ms (0.2%)

Memory

14.5MiB live, 51.1MiB allocated

Counts

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

Calls

4 calls:

28.0ms	l
7.0ms	d
7.0ms	M
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
47.5%	2	`d`
43.3%	3	`M`
47.6%	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))))`
51.6%	4	`l`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes8.0ms (0%)

Memory

-28.6MiB live, 10.5MiB allocated

Counts

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
51.5%	4	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes7.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
49.2%	3	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes18.0ms (0.1%)

Memory

-29.3MiB live, 20.0MiB allocated

Counts

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

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:

12.0ms	d
5.0ms	l

Results

Accuracy	Segments	Branch
47.5%	2	`d`
47.3%	2	`l`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes18.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

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

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

Calls

5 calls:

3.0ms	d
3.0ms	h
3.0ms	l
3.0ms	(*.f64 M 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
35.7%	2	`(*.f64 M D)`
40.0%	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))))`
44.2%	2	`h`
45.1%	2	`l`
44.8%	2	`d`

Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes16.0ms (0.1%)

Memory

-17.0MiB live, 21.1MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

6.0ms	M
2.0ms	D
2.0ms	l
2.0ms	h
2.0ms	d

Results

Accuracy	Segments	Branch
34.2%	2	`M`
34.8%	2	`D`
38.5%	2	`h`
38.6%	2	`d`
38.6%	2	`l`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes4.0ms (0%)

Memory

7.9MiB live, 7.9MiB 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)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))

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

Outputs

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

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

Calls

2 calls:

2.0ms	l
2.0ms	d

Results

Accuracy	Segments	Branch
38.6%	2	`l`
38.2%	2	`d`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes10.0ms (0%)

Memory

20.4MiB live, 20.4MiB 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:

1.0ms	l
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	d
1.0ms	h
1.0ms	M

Results

Accuracy	Segments	Branch
31.9%	1	`M`
31.9%	1	`D`
31.9%	1	`(*.f64 M D)`
31.9%	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))))`
31.9%	1	`d`
31.9%	1	`h`
31.9%	1	`l`

Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch129.0ms (0.6%)

Memory

2.6MiB live, 120.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
51.0ms	2.545322588018976e-277	3.867750099006139e-275
68.0ms	-5.105595222608185e-191	-4.781650245388211e-193

Samples

69.0ms	218×	0	invalid
35.0ms	224×	0	valid

Compiler

Compiled 1 240 to 709 computations (42.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-pow2: 48.0ms (53.7% of total)

ival-div: 15.0ms (16.8% of total)

ival-mult: 14.0ms (15.7% of total)

ival-pow: 10.0ms (11.2% of total)

ival-sub: 2.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch109.0ms (0.5%)

Memory

-20.4MiB live, 94.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.545322588018976e-277	3.867750099006139e-275
71.0ms	-1.8122390657735827e-204	-1.960074469391258e-218

Samples

40.0ms	160×	0	valid
21.0ms	169×	0	invalid

Compiler

Compiled 1 471 to 849 computations (42.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 26.0ms (53.4% of total)

ival-mult: 11.0ms (22.6% of total)

ival-pow: 7.0ms (14.4% of total)

ival-pow2: 3.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.545322588018976e-277	3.867750099006139e-275
1.0ms	-1.8122390657735827e-204	-1.960074469391258e-218

Compiler

Compiled 1 457 to 849 computations (41.7% saved)

bsearch102.0ms (0.5%)

Memory

2.5MiB live, 82.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.545322588018976e-277	3.867750099006139e-275
1.0ms	-5.105595222608185e-191	-4.781650245388211e-193
94.0ms	-9.741776020219927e+256	-4.673588716225824e+253

Samples

64.0ms	128×	0	valid
20.0ms	172×	0	invalid

Compiler

Compiled 1 656 to 993 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 54.0ms (72.6% of total)

ival-mult: 10.0ms (13.4% of total)

ival-pow: 6.0ms (8.1% of total)

ival-pow2: 3.0ms (4% of total)

ival-sub: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch95.0ms (0.4%)

Memory

4.1MiB live, 41.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
89.0ms	1.1451770041842497e+173	1.900126333840119e+178

Samples

62.0ms	144×	0	valid
18.0ms	128×	0	invalid

Compiler

Compiled 556 to 363 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-pow: 49.0ms (69.3% of total)

ival-div: 9.0ms (12.7% of total)

ival-mult: 9.0ms (12.7% of total)

ival-pow2: 3.0ms (4.2% 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)

bsearch87.0ms (0.4%)

Memory

22.3MiB live, 59.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.6978472280506476e+82	2.330063381318254e+82
64.0ms	-1.816666985164231e+149	-2.6173243293650568e+146

Samples

39.0ms	204×	0	invalid
27.0ms	176×	0	valid

Compiler

Compiled 778 to 474 computations (39.1% saved)

Precisions

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

ival-div: 13.0ms (30.7% of total)

ival-mult: 12.0ms (28.3% of total)

ival-pow: 11.0ms (26% of total)

ival-pow2: 4.0ms (9.4% of total)

ival-sub: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch298.0ms (1.3%)

Memory

-3.7MiB live, 197.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
73.0ms	6.50170077693613e+112	5.5994982956797674e+119
73.0ms	2.1674626731660238e-52	2.6323439498276312e-46
132.0ms	-5.253052695178736e-12	-1.7740916453413877e-40

Samples

160.0ms	455×	0	invalid
70.0ms	464×	0	valid

Compiler

Compiled 1 958 to 1 210 computations (38.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-pow: 92.0ms (46.1% of total)

ival-div: 64.0ms (32.1% of total)

ival-mult: 29.0ms (14.5% of total)

ival-pow2: 9.0ms (4.5% of total)

ival-sub: 4.0ms (2% of total)

ival-true: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-6.114756583299258e-160	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch197.0ms (0.9%)

Memory

4.5MiB live, 237.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
29.0ms	7.136453351142035e-9	8.871261902011977e-8
57.0ms	1.3846380014222866e-305	1.3657457334726412e-302
95.0ms	-5.698899530344386e-45	-2.3107117848252713e-48

Samples

97.0ms	352×	0	valid
59.0ms	332×	0	invalid

Compiler

Compiled 1 175 to 792 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-div: 52.0ms (39.4% of total)

ival-mult: 41.0ms (31.1% of total)

ival-sub: 16.0ms (12.1% of total)

ival-pow: 15.0ms (11.4% of total)

ival-pow2: 7.0ms (5.3% of total)

ival-true: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

bsearch132.0ms (0.6%)

Memory

9.2MiB live, 288.1MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	7.136453351142035e-9	8.871261902011977e-8
47.0ms	3.812572925330739e-104	2.85534688608319e-87
53.0ms	-1.232979680352871e-307	1.3846380014222866e-305
1.0ms	-5.698899530344386e-45	-2.3107117848252713e-48

Samples

63.0ms	352×	0	valid
34.0ms	289×	0	invalid

Compiler

Compiled 1 729 to 1 112 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 23.0ms (32.1% of total)

ival-mult: 20.0ms (27.9% of total)

ival-pow: 18.0ms (25.2% of total)

ival-pow2: 6.0ms (8.4% of total)

ival-sub: 3.0ms (4.2% of total)

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

exact: 1.0ms (1.4% of total)

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

bsearch31.0ms (0.1%)

Memory

-13.0MiB live, 64.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
24.0ms	3.812572925330739e-104	2.85534688608319e-87
1.0ms	-1.232979680352871e-307	1.3846380014222866e-305
3.0ms	-5.698899530344386e-45	-2.3107117848252713e-48

Samples

13.0ms	80×	0	valid
6.0ms	48×	0	invalid

Compiler

Compiled 1 249 to 824 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (29.6% of total)

ival-mult: 4.0ms (29.6% of total)

ival-pow: 3.0ms (22.2% of total)

ival-sub: 1.0ms (7.4% of total)

ival-pow2: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch209.0ms (0.9%)

Memory

-22.4MiB live, 361.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
41.0ms	5.093493124392095e-150	1.089019046042697e-147
84.0ms	-8.268284807314642e-308	1.9094225319911434e-298
65.0ms	-1.2333815811493348e-137	-3.0148133064287012e-142

Samples

78.0ms	400×	0	valid
64.0ms	448×	0	invalid

Compiler

Compiled 1 252 to 821 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 40.0ms (36.3% of total)

ival-div: 31.0ms (28.1% of total)

ival-pow: 25.0ms (22.7% of total)

ival-pow2: 8.0ms (7.3% of total)

ival-sub: 4.0ms (3.6% of total)

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

exact: 1.0ms (0.9% of total)

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

bsearch3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	5.093493124392095e-150	1.089019046042697e-147
1.0ms	-8.268284807314642e-308	1.9094225319911434e-298
1.0ms	-1.2333815811493348e-137	-3.0148133064287012e-142

Compiler

Compiled 1 252 to 821 computations (34.4% saved)

bsearch5.0ms (0%)

Memory

-31.4MiB live, 7.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
3.0ms	5.093493124392095e-150	1.089019046042697e-147
1.0ms	-8.268284807314642e-308	1.9094225319911434e-298
1.0ms	-1.2333815811493348e-137	-3.0148133064287012e-142

Compiler

Compiled 1 252 to 821 computations (34.4% saved)

bsearch3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	5.093493124392095e-150	1.089019046042697e-147
1.0ms	-8.268284807314642e-308	1.9094225319911434e-298
1.0ms	-1.2333815811493348e-137	-3.0148133064287012e-142

Compiler

Compiled 1 252 to 821 computations (34.4% saved)

bsearch93.0ms (0.4%)

Memory

21.3MiB live, 179.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	5.093493124392095e-150	1.089019046042697e-147
50.0ms	9.6872226562537e-294	2.006609665606893e-287
33.0ms	-1.2333815811493348e-137	-3.0148133064287012e-142

Samples

35.0ms	224×	0	valid
33.0ms	226×	0	invalid

Compiler

Compiled 1 113 to 719 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 16.0ms (31.5% of total)

ival-mult: 14.0ms (27.5% of total)

ival-pow: 13.0ms (25.6% of total)

ival-pow2: 4.0ms (7.9% of total)

ival-sub: 2.0ms (3.9% of total)

exact: 1.0ms (2% of total)

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

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

bsearch207.0ms (0.9%)

Memory

16.9MiB live, 249.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	5.093493124392095e-150	1.089019046042697e-147
71.0ms	-1.6870744040601313e-286	-2.6268378975151476e-300
98.0ms	-2.0095634957392593e+254	-1.9279816177095435e+244

Samples

88.0ms	368×	0	valid
77.0ms	449×	0	invalid

Compiler

Compiled 924 to 641 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-div: 51.0ms (38% of total)

ival-pow: 36.0ms (26.8% of total)

ival-mult: 30.0ms (22.4% of total)

ival-pow2: 10.0ms (7.5% of total)

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

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

exact: 1.0ms (0.7% of total)

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

bsearch8.0ms (0%)

Memory

-39.4MiB live, 7.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	5.093493124392095e-150	1.089019046042697e-147
1.0ms	-1.6870744040601313e-286	-2.6268378975151476e-300
6.0ms	-2.0095634957392593e+254	-1.9279816177095435e+244

Compiler

Compiled 910 to 627 computations (31.1% saved)

bsearch2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.093493124392095e-150	1.089019046042697e-147
1.0ms	-2.0095634957392593e+254	-1.9279816177095435e+244

Compiler

Compiled 573 to 404 computations (29.5% saved)

bsearch44.0ms (0.2%)

Memory

22.7MiB live, 101.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	3.2039528837211084e-159	7.21359946571039e-155

Samples

21.0ms	128×	0	valid
12.0ms	87×	0	invalid

Compiler

Compiled 283 to 206 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 8.0ms (34% of total)

ival-div: 7.0ms (29.7% of total)

ival-pow: 5.0ms (21.2% of total)

ival-pow2: 2.0ms (8.5% of total)

ival-sub: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.093493124392095e-150	1.089019046042697e-147

Compiler

Compiled 260 to 191 computations (26.5% saved)

bsearch47.0ms (0.2%)

Memory

-9.4MiB live, 111.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-2.6826074084735006e-135	-3.4987851611446755e-136

Samples

18.0ms	142×	0	invalid
17.0ms	96×	0	valid

Compiler

Compiled 223 to 156 computations (30% saved)

Precisions

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

ival-div: 10.0ms (39.6% of total)

ival-mult: 7.0ms (27.7% of total)

ival-pow: 4.0ms (15.9% of total)

ival-pow2: 2.0ms (7.9% of total)

ival-sub: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.1%)

Memory

-3.5MiB live, 35.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-1.2333815811493348e-137	-3.0148133064287012e-142

Samples

11.0ms	67×	0	invalid
5.0ms	32×	0	valid

Compiler

Compiled 267 to 182 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 5.0ms (41.6% of total)

ival-mult: 3.0ms (25% of total)

ival-pow: 3.0ms (25% of total)

ival-pow2: 1.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify67.0ms (0.3%)

Memory

15.0MiB live, 95.5MiB allocated

Algorithm

1×	egg-herbie

Rules

254×	`*-commutative_binary64`
222×	`neg-mul-1_binary64`
160×	`unsub-neg_binary64`
136×	`distribute-rgt-neg-in_binary64`
134×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	3939
1	475	3939
2	548	3939
3	625	3939
4	701	3939
5	753	3939
6	915	3939
7	1151	3939
8	1165	3939
9	1166	3939

Stop Event

1×

saturated

Calls

Call 1

Inputs
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(if (<=.f64 d #s(literal -3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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 8981281392906239/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (.f64 M (.f64 M D))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) (.f64 (.f64 (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))))
(if (<=.f64 d #s(literal -3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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 8981281392906239/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (.f64 M (.f64 M D))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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 -1999999999999999976905139389282906579782825695533667793354736930857696261802069818591759239817890633118585175139916931349309985855457249115766978327499080492713782258213467183862609667387277131256364612156226766545565568781988099212151532024379513329680384 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) (if (<=.f64 d #s(literal -8732647492804917/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 8981281392906239/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (.f64 M (.f64 M D))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.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 l #s(literal 117999999999999996713969662890326220916336549934149264156726034571945244603393436954066185181095152948399555925010880665654383144832287047322034611263634048812477145103204352 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) (/.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 l #s(literal -7800000000000000325234191950579772196497448136289448085833099218106588996536979287070161544269543657727606067503001599309444776276023013636007002112 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 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h)) (if (<=.f64 l #s(literal 22999999999999998821356987611656123252024740830383822505000531558125142939753512960 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) (.f64 M D)) (.f64 l (.f64 d #s(literal 2 binary64)))) h)) (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)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))))
(if (<=.f64 l #s(literal -3739289119712769/6129982163463555433433388108601236734474956488734408704 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 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h)) (if (<=.f64 l #s(literal 5931188266773141/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) (.f64 M D)) (.f64 l (.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l))))) (if (<=.f64 l #s(literal 65999999999999997951100132818701120952870035312635009574510346114855040833133961151492630610270739513564209348608 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l 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)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l)))))))
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(if (<=.f64 l #s(literal -589999999999999973319363100545748937863822686251413827287265563200102966961586910897500168746240039537755113792645314882856835280435674640768818772082304416281784822134423685543696801071250571550688302860788661973178532727297862368478895330859941888 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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)) (if (<=.f64 l #s(literal 4606887725612233/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Outputs
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(if (<=.f64 d #s(literal -8510815580529969/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))))
(if (<=.f64 l #s(literal -2265383227843101/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (.f64 d (/.f64 d (.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d 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))))

soundness2.4s (11%)

Memory

12.1MiB live, 2 382.1MiB allocated

Rules

9 240×	`lower-*.f64`
9 240×	`lower-*.f32`
9 232×	`lower-*.f64`
9 232×	`lower-*.f32`
7 638×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	21984
1	696	21179
2	2486	21125
3	5579	20590
0	8766	20230
0	125	674
0	188	640
1	613	580
2	4416	574
0	8231	564
0	125	716
0	193	574
1	659	506
2	5577	490
0	8063	482
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125
0	371	16234
1	1109	15688
2	3957	15573
0	8487	15243
0	365	22561
1	1099	21817
2	3968	21694
0	8476	21241
0	82	398
0	137	367
1	408	331
2	2680	318
0	8787	318
0	22	64
0	38	60
1	124	59
2	828	59
0	8726	58

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

Compiler

Compiled 6 819 to 2 769 computations (59.4% saved)

preprocess211.0ms (0.9%)

Memory: 8.8MiB live, 443.3MiB allocated
Remove: (abs D)
Compiler: Compiled 4 862 to 1 276 computations (73.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated