Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze547.0ms (3.4%)

Memory

-16.1MiB live, 666.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample6.3s (39.4%)

Memory

-5.3MiB live, 6 499.2MiB allocated

Samples

2.9s	13 159×	0	invalid
1.7s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-div: 1.2s (34% of total)

ival-mult: 833.0ms (23.2% of total)

ival-pow: 781.0ms (21.7% of total)

ival-pow2: 597.0ms (16.6% of total)

ival-sub: 106.0ms (3% of total)

exact: 24.0ms (0.7% of total)

ival-true: 19.0ms (0.5% of total)

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

Bogosity

explain378.0ms (2.4%)

Memory

-13.2MiB live, 515.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
67	-	4	(2.5100121776015457e-31 1.1941974047357662e-160 4.389294421213126e+290 -3.6250636419449414e-190 -1.2923201271194021e+120)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
60	-	2	(-2.273471544929409e-206 -2.3883859205304677e+117 -2.3399782487085474e-230 6.427982490366061e-236 -6.364848393024439e-88)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
46	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
27	-	4	(-2.273471544929409e-206 -2.3883859205304677e+117 -2.3399782487085474e-230 6.427982490366061e-236 -6.364848393024439e-88)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
25	-	1	(-3.185613301673525e-227 -1.101791675119011e-120 -4.5387218467905557e+294 -9.512330889931345e-167 9.613465658329827e+292)	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	34	0
↳	`(/.f64 d l)`	underflow	34
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	32	0
↳	`(/.f64 d h)`	overflow	32
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	29	0
↳	`(/.f64 d l)`	overflow	29
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	26	0
↳	`(/.f64 d h)`	underflow	26
`*.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 (pow.f64 (/.f64 d 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**	11	0
↳	`(/.f64 d h)`	underflow	26
↳	`(/.f64 d l)`	underflow	34
↳	`(*.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	16
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	75
↳	`(/.f64 h l)`	overflow	27
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	71
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	71
↳	`(*.f64 M D)`	overflow	29
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	41
↳	`(.f64 (/.f64 #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	75
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
`*.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**	8	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	75
↳	`(*.f64 M D)`	overflow	29
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	41
↳	`(.f64 (/.f64 #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	75
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(/.f64 h l)`	underflow	37
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	8	0
↳	`(*.f64 M D)`	overflow	29
`*.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	70
↳	`(.f64 (/.f64 #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	70
↳	`(*.f64 M D)`	underflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	33
↳	`(/.f64 h l)`	overflow	27
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	33

Confusion

	Predicted +	Predicted -
+	95	6
-	29	126

Precision

0.7661290322580645

Recall

0.9405940594059405

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	95	0	6
-	29	0	126

Precision?

0.7661290322580645

Recall?

0.9405940594059405

Freqs

test

number	freq
0	132
1	80
2	36
3	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

122.0ms

512×

valid

Compiler

Compiled 501 to 92 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-pow: 29.0ms (37.1% of total)

ival-mult: 21.0ms (26.8% of total)

ival-div: 19.0ms (24.3% of total)

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

ival-sub: 3.0ms (3.8% of total)

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

exact: 1.0ms (1.3% of total)

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

preprocess179.0ms (1.1%)

Memory

-8.4MiB live, 235.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	2092	548
3	4738	548
0	22	29
0	38	27
1	67	27
2	182	27
3	1068	27
4	3452	27
5	6729	27
0	8398	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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(.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

▶

62.4%

(*.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 35 to 22 computations (37.1% saved)

simplify168.0ms (1.1%)

Memory

-8.3MiB live, 113.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	182	126
3	1068	126
4	3452	126
5	6729	126
0	8398	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 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d 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))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(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 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) 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 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) 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 (pow.f64 (.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

localize75.0ms (0.5%)

Memory

-30.8MiB live, 128.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.925621539635395	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	10.82234927408824	(.f64 (.f64 (/.f64 #s(literal 1 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	13.964153435496746	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.450680394454372	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

57.0ms

256×

valid

Compiler

Compiled 310 to 46 computations (85.2% saved)

Precisions

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

ival-pow: 14.0ms (35.5% of total)

ival-mult: 11.0ms (27.9% of total)

ival-div: 9.0ms (22.8% of total)

ival-pow2: 3.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series82.0ms (0.5%)

Memory

34.6MiB live, 71.2MiB allocated

Counts

6 → 32

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

Calls

15 calls:

Time	Variable		Point	Expression
40.0ms	l	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
3.0ms	h	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
3.0ms	h	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify123.0ms (0.8%)

Memory

1.2MiB live, 191.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	635
1	413	593
2	1514	584
3	4190	568
4	7941	568
0	8163	552

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

rewrite212.0ms (1.3%)

Memory

-5.2MiB live, 195.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
0	38	68
1	124	67
2	836	67
0	8760	65

Stop Event

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

Counts

6 → 454

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

eval67.0ms (0.4%)

Memory: 19.6MiB live, 100.5MiB allocated
Compiler: Compiled 20 228 to 1 520 computations (92.5% saved)

prune45.0ms (0.3%)

Memory

-37.1MiB live, 86.8MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	442	34	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	443	34	477

Accuracy

90.6%

Counts

477 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.3%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	61.8%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	60.7%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	38.7%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	38.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	30.7%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	51.7%	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	51.7%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	61.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
▶	61.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	60.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64)))
	61.2%	(.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)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	52.0%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
	62.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))))
	53.9%	(.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 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
▶	64.4%	(.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 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	53.1%	(.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 h l) #s(literal 1/2 binary64)) (.f64 D M)) (.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 2 binary64)) (.f64 D M)))))
	52.4%	(.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 M (.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	22.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
	38.6%	(.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))))
	32.9%	(.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) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	62.4%	(.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))))
	62.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.5%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
	31.0%	(.f64 (sqrt.f64 d) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))))
▶	30.1%	(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	22.4%	#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 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	33.3%	#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 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	11.4%	#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 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	22.4%	#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 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	12.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 618 to 1 824 computations (30.3% saved)

simplify114.0ms (0.7%)

Memory

37.3MiB live, 111.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))
cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h)
cost-diff	2368	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
cost-diff	6080	(.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
cost-diff	0	(pow.f64 h #s(literal -1/2 binary64))
cost-diff	0	(.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
cost-diff	0	(sqrt.f64 d)
cost-diff	0	(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(*.f64 l h)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
cost-diff	704	(/.f64 #s(literal 1 binary64) #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)))
cost-diff	6848	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	630
0	124	622
1	232	604
2	612	591
3	3115	591
4	7472	591
0	8298	588

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

localize277.0ms (1.7%)

Memory

9.8MiB live, 283.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.3676923643687053	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	3.4093605366103734	(/.f64 (/.f64 d l) h)
accuracy	5.7201827457843155	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
accuracy	9.674285852294062	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	0.7926497569700744	(.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
accuracy	2.3676923643687053	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	3.1608028405313697	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	7.9903897649950215	(sqrt.f64 (/.f64 d l))
accuracy	2.3676923643687053	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	3.1608028405313697	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	6.140207071103242	(sqrt.f64 (/.f64 d h))
accuracy	7.9903897649950215	(sqrt.f64 (/.f64 d l))
accuracy	0.09375	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.287520548346999	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	8.280600696143306	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	11.774632103909923	#s(approx (* (* (pow (/ 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 l h))) d))
accuracy	2.9350327044500863	(*.f64 (/.f64 D d) M)
accuracy	3.029191812733205	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
accuracy	6.140207071103242	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.9903897649950215	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

114.0ms	145×	0	invalid
92.0ms	111×	0	valid

Compiler

Compiled 1 301 to 146 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 51.0ms (35.8% of total)

ival-add: 28.0ms (19.7% of total)

ival-pow: 26.0ms (18.3% of total)

ival-div: 23.0ms (16.1% of total)

ival-sqrt: 8.0ms (5.6% of total)

ival-pow2: 3.0ms (2.1% of total)

ival-sub: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series168.0ms (1.1%)

Memory

-8.2MiB live, 261.6MiB allocated

Counts

27 → 79

Calls

Call 1

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

Outputs
(* 1/4 (/ (* D (* M h)) d))
(sqrt (/ d h))
(sqrt (/ 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)
(* d (sqrt (/ 1 (* h l))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (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)) l)) (pow d 2)) (pow d 2))
(sqrt d)
(* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (/ (pow d 5) (* h l))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (* d h) (pow l 3)))))) (pow d 2))
(* d (sqrt (/ 1 (* h (pow l 3)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/ (* D M) d)
(* 2 (/ d (* D M)))
(/ d (* 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 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(sqrt (/ d (* h l)))
(* d (+ (sqrt (/ 1 (* d (* h l)))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (* (pow d 5) (pow l 3))))))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -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))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d (* h l)))) (pow (sqrt -1) 2)))))
(* -1 (* d (sqrt (/ 1 (* h (pow l 3))))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (/ 1 (* h l)))
(* h l)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* -1/2 (/ h l))
(/ (+ (sqrt (/ (* d h) l)) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (* (pow d 3) (pow l 3))))))) h)
(sqrt (/ 1 h))
(/ 1 (* h 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (sqrt (/ d (* (pow h 3) l))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (* h (pow l 3)))))))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -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)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (* (pow d 3) (pow l 3))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (* (pow h 3) l))) (pow (sqrt -1) 2))) (* 1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow d 3) (* h (pow l 3))))))))))
(* (sqrt (/ 1 h)) (pow (sqrt -1) 2))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* 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)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (sqrt (/ (* d (pow l 3)) h)) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (* h l) (pow d 3)))))) (pow l 2))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d (* h l))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (* (pow d 3) (pow l 3)))))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -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)))))
(* (sqrt (/ d (* h l))) (pow (sqrt -1) 2))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2)))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (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) (sqrt (/ h (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d (* 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (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) (sqrt (/ h (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d (* h l))))))

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	D	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (* (sqrt d) (* (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))))) (sqrt d) (* (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (pow h -1/2) (* (pow l -1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (* (/ D d) M) (/ 1 (* l h)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ 2 M) (/ d D)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h))
17.0ms	d	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (* (sqrt d) (* (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))))) (sqrt d) (* (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (pow h -1/2) (* (pow l -1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (* (/ D d) M) (/ 1 (* l h)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ 2 M) (/ d D)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h))
15.0ms	h	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (* (sqrt d) (* (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))))) (sqrt d) (* (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (pow h -1/2) (* (pow l -1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (* (/ D d) M) (/ 1 (* l h)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ 2 M) (/ d D)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h))
13.0ms	h	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (* (sqrt d) (* (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))))) (sqrt d) (* (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (pow h -1/2) (* (pow l -1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (* (/ D d) M) (/ 1 (* l h)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ 2 M) (/ d D)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h))
11.0ms	d	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (* (sqrt d) (* (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))))) (sqrt d) (* (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (pow h -1/2) (* (pow l -1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (* (/ D d) M) (/ 1 (* l h)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ 2 M) (/ d D)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h))

simplify164.0ms (1%)

Memory

15.3MiB live, 171.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	1528
1	908	1443
2	3188	1424
3	6911	1410
0	8775	1376

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 79

Calls

Call 1

Inputs
(* 1/4 (/ (* D (* M h)) d))
(sqrt (/ d h))
(sqrt (/ 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)
(* d (sqrt (/ 1 (* h l))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (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)) l)) (pow d 2)) (pow d 2))
(sqrt d)
(* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (/ (pow d 5) (* h l))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (* d h) (pow l 3)))))) (pow d 2))
(* d (sqrt (/ 1 (* h (pow l 3)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/ (* D M) d)
(* 2 (/ d (* D M)))
(/ d (* 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 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(sqrt (/ d (* h l)))
(* d (+ (sqrt (/ 1 (* d (* h l)))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (* (pow d 5) (pow l 3))))))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -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))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d (* h l)))) (pow (sqrt -1) 2)))))
(* -1 (* d (sqrt (/ 1 (* h (pow l 3))))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (/ 1 (* h l)))
(* h l)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* -1/2 (/ h l))
(/ (+ (sqrt (/ (* d h) l)) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (* (pow d 3) (pow l 3))))))) h)
(sqrt (/ 1 h))
(/ 1 (* h 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (sqrt (/ d (* (pow h 3) l))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (* h (pow l 3)))))))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -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)))))))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (* (pow d 3) (pow l 3))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (* (pow h 3) l))) (pow (sqrt -1) 2))) (* 1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow d 3) (* h (pow l 3))))))))))
(* (sqrt (/ 1 h)) (pow (sqrt -1) 2))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* 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)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (sqrt (/ (* d (pow l 3)) h)) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (* h l) (pow d 3)))))) (pow l 2))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d (* h l))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (* (pow d 3) (pow l 3)))))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -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)))))
(* (sqrt (/ d (* h l))) (pow (sqrt -1) 2))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2)))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (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) (sqrt (/ h (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d (* 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (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) (sqrt (/ h (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d (* h l))))))

Outputs
(* 1/4 (/ (* D (* M h)) d))
(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d)
(* d (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (.f64 d d))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) (/.f64 (.f64 D D) l) (.f64 d d)) (.f64 d d))
(sqrt d)
(sqrt.f64 d)
(* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (* (pow d 3) (pow l 3))))))
(.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))))
(/ (+ (sqrt (/ (pow d 5) (* h l))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (* d h) (pow l 3)))))) (pow d 2))
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) d)) (.f64 M M)) (sqrt.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h) l))) (.f64 d d))
(* d (sqrt (/ 1 (* h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) d)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(.f64 (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) d) (/.f64 (*.f64 D D) d))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (.f64 (.f64 M M) D) (/.f64 D d)))
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(* 2 (/ d (* D M)))
(.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64))
(/ d (* h l))
(/.f64 (/.f64 d l) h)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d)
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)))) d)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) l) #s(literal 1 binary64))
(sqrt (/ d (* h l)))
(sqrt.f64 (/.f64 (/.f64 d l) h))
(* d (+ (sqrt (/ 1 (* d (* h l)))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (* (pow d 5) (pow l 3))))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M M)) (sqrt.f64 (/.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)) l))) d)
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)))) d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(* -1 (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (/.f64 d l) h))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d (* h l)))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 (neg.f64 M) M)) (sqrt.f64 (/.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)) l))) d)
(* -1 (* d (sqrt (/ 1 (* h (pow l 3))))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(.f64 (neg.f64 d) (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(sqrt (/ 1 (* h l)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(* h l)
(*.f64 l h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)
(* -1/2 (/ h l))
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
(/ (+ (sqrt (/ (* d h) l)) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (* (pow d 3) (pow l 3))))))) h)
(/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M M)) (sqrt.f64 (/.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (/.f64 h l) d))) h)
(sqrt (/ 1 h))
(sqrt.f64 (/.f64 #s(literal 1 binary64) h))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) h)
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))) h)
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) l) #s(literal 1 binary64))
(* h (+ (sqrt (/ d (* (pow h 3) l))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (* h (pow l 3)))))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M M)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))) l))) h)
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(* -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 (fma.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h)
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(.f64 (fma.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (neg.f64 (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64)))))) h)
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(fma.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) l) #s(literal 1 binary64))
(* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (* (pow d 3) (pow l 3))))))
(.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (*.f64 (neg.f64 M) M)) (sqrt.f64 (/.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (* (pow h 3) l))) (pow (sqrt -1) 2))) (* 1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow d 3) (* h (pow l 3))))))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (neg.f64 M) M)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))) l)))) h)
(* (sqrt (/ 1 h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h (pow l 3)))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) d) (/.f64 (.f64 D D) d) l) l)
(/ (+ (sqrt (/ (* d (pow l 3)) h)) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (* h l) (pow d 3)))))) (pow l 2))
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (.f64 M M)) (sqrt.f64 (.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) d))) (*.f64 l l))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(+ (sqrt (/ d (* h l))) (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (* (pow d 3) (pow l 3)))))))
(fma.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 d l) h)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d 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)))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (.f64 D D) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
(* (sqrt (/ d (* h l))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ h (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2)))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (.f64 (neg.f64 M) M) (sqrt.f64 (/.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 d l) h))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) l) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/8 (* (pow D 2) (sqrt (/ h (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d (* h l))))))
(fma.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 d l) h)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) l) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/8 (* (pow M 2) (sqrt (/ h (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d (* h l))))))
(fma.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 d l) h)))

rewrite235.0ms (1.5%)

Memory

-14.9MiB live, 223.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	313
0	110	299
1	347	281
2	2229	269
0	8633	269

Stop Event

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

Counts

27 → 1 087

Calls

Call 1

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

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

eval142.0ms (0.9%)

Memory: 9.8MiB live, 241.4MiB allocated
Compiler: Compiled 47 200 to 4 341 computations (90.8% saved)

prune88.0ms (0.6%)

Memory

-13.7MiB live, 183.9MiB allocated

Pruning

59 alts after pruning (58 fresh and 1 done)

	Pruned	Kept	Total
New	1 091	45	1 136
Fresh	16	13	29
Picked	4	1	5
Done	0	0	0
Total	1 111	59	1 170

Accuracy

92.0%

Counts

1 170 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.3%	(fma.f64 (pow.f64 l #s(literal -1 binary64)) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal -1/2 binary64) h) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))))) (/.f64 d (sqrt.f64 (.f64 l h))))
	26.3%	(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
▶	43.0%	(fma.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	43.6%	(fma.f64 (.f64 (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) #s(literal -1/2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	38.9%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 d (*.f64 l h)) d)))
	30.2%	(fma.f64 #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) d) (/.f64 (.f64 D D) d))) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	38.7%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	38.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	37.7%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	51.7%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	64.4%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	62.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) M) d) D) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	62.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	61.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	64.4%	(.f64 (.f64 (fma.f64 h (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 l #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	52.0%	(.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 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
▶	66.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	62.4%	(.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 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) h) d))))
	40.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	38.6%	(.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))))
	63.9%	(.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 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	62.4%	(.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))))
	41.6%	(.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 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	41.6%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	38.5%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
	45.3%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	33.0%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) (/.f64 (.f64 D D) l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	22.7%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	31.8%	(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	6.0%	(.f64 (sqrt.f64 d) #s(approx ( (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)))))
	23.1%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l)))
	20.1%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)))) d)) (sqrt.f64 (/.f64 d l)))
	12.1%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 d l)))
	22.1%	#s(approx (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	27.1%	#s(approx (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	22.4%	#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 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	11.4%	#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 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	35.3%	#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 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	36.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	16.6%	#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 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
▶	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	22.4%	#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 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
	2.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	12.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	15.6%	#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 (pow.f64 (.f64 (.f64 l l) (.f64 h h)) #s(literal -1/2 binary64))) d))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))) d))
	35.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	29.7%	#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 (/.f64 (/.f64 d l) h) d)))
	44.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
	21.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))

Compiler

Compiled 4 956 to 3 368 computations (32% saved)

simplify165.0ms (1%)

Memory

21.8MiB live, 186.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)) h)
cost-diff	128	(/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d))
cost-diff	2368	(fma.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
cost-diff	6080	(.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) (/.f64 (.f64 D D) l) (.f64 d d)) (.f64 d d))
cost-diff	0	#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) (/.f64 (.f64 D D) l) (.f64 d d)) (.f64 d d)))
cost-diff	0	(.f64 #s(approx (+ ( (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) (/.f64 (.f64 D D) l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) (/.f64 (.f64 D D) l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(*.f64 l h)
cost-diff	0	(sqrt.f64 (*.f64 l h))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 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 d (sqrt.f64 (*.f64 l h))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #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)))
cost-diff	6848	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	713
0	153	704
1	295	680
2	862	668
3	4251	668
0	8108	664

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

localize292.0ms (1.8%)

Memory

-4.5MiB live, 381.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.8334581338062135	(/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d))
accuracy	6.228964382826987	(/.f64 (/.f64 d l) h)
accuracy	17.543106817189106	(fma.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
accuracy	21.621287658130303	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	5.992436796356726	(/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D))
accuracy	7.825735572563119	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	13.964153435496746	(sqrt.f64 (/.f64 d h))
accuracy	15.450680394454372	(sqrt.f64 (/.f64 d l))
accuracy	13.964153435496746	(sqrt.f64 (/.f64 d h))
accuracy	15.450680394454372	(sqrt.f64 (/.f64 d l))
accuracy	17.28225528197834	(fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) (/.f64 (.f64 D D) l) (*.f64 d d))
accuracy	22.535769431987134	(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) (/.f64 (.f64 D D) l) (.f64 d d)) (.f64 d d))
accuracy	0.0	(*.f64 l h)
accuracy	0.19140625	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	15.08623023530054	(sqrt.f64 (*.f64 l h))
accuracy	46.18451066590801	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	5.823695690527259	(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64)) l)
accuracy	5.925621539635395	(.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 D) d) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
accuracy	13.964153435496746	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.450680394454372	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

220.0ms

256×

valid

Compiler

Compiled 1 404 to 183 computations (87% saved)

Precisions

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

ival-mult: 97.0ms (55.6% of total)

ival-div: 31.0ms (17.8% of total)

ival-pow: 27.0ms (15.5% of total)

ival-sqrt: 7.0ms (4% of total)

ival-add: 5.0ms (2.9% of total)

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

ival-sub: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

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

series131.0ms (0.8%)

Memory

-5.0MiB live, 200.5MiB allocated

Counts

28 → 67

Calls

Call 1

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

Outputs
(* 1/4 (/ (* D (* M h)) d))
(sqrt (/ d h))
(sqrt (/ 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)
(* d (sqrt (/ 1 (* h l))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (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)) l)) (pow d 2)) (pow d 2))
(* d (sqrt (/ 1 (* h (pow l 3)))))
(* -1/4 (/ (* D M) d))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/2 (/ (* D M) (* d l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2))
(* 2 (/ d (* D M)))
(/ d (* 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 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(pow d 2)
(* (pow d 2) (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -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))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* d (sqrt (/ 1 (* h (pow l 3))))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (* h l))
(* h l)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* -1/2 (/ h 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) 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)) l)) (/ (pow d 2) h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -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 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h (pow l 3)))))
(* -1 (* h (+ (* -1 (/ (pow d 2) h)) (* 1/8 (/ (* (pow D 2) (pow M 2)) l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(/ (+ (* -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)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ 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)) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -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)))))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (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) l)) (/ (pow d 2) (pow M 2))))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (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) l)) (/ (pow d 2) (pow D 2))))

Calls

15 calls:

Time	Variable		Point	Expression
25.0ms	D	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (* d d)) (* (* (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (* -1/2 (/ h l)) (* (pow l -1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ (* M (* 1/4 D)) (neg d)) (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ (* (/ (* M D) d) 1/2) l) (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* 2 d) (* M D)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h))
12.0ms	d	@	inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (* d d)) (* (* (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (* -1/2 (/ h l)) (* (pow l -1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ (* M (* 1/4 D)) (neg d)) (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ (* (/ (* M D) d) 1/2) l) (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* 2 d) (* M D)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h))
9.0ms	d	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (* d d)) (* (* (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (* -1/2 (/ h l)) (* (pow l -1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ (* M (* 1/4 D)) (neg d)) (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ (* (/ (* M D) d) 1/2) l) (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* 2 d) (* M D)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h))
8.0ms	l	@	-inf	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (* d d)) (* (* (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (* -1/2 (/ h l)) (* (pow l -1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ (* M (* 1/4 D)) (neg d)) (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ (* (/ (* M D) d) 1/2) l) (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* 2 d) (* M D)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h))
8.0ms	d	@	0	((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (* d d)) (* (* (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (/ (* 2 d) (* M D)) -2)) 1) (* -1/2 (/ h l)) (* (pow l -1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ (* M (* 1/4 D)) (neg d)) (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ (* (/ (* M D) d) 1/2) l) (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (sqrt (/ d l)) (sqrt (/ d h)) (/ (* 2 d) (* M D)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h))

simplify147.0ms (0.9%)

Memory

16.6MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	1197
1	774	1152
2	2695	1144
3	5599	1141
0	8410	1108

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 67

Calls

Call 1

Inputs
(* 1/4 (/ (* D (* M h)) d))
(sqrt (/ d h))
(sqrt (/ 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)
(* d (sqrt (/ 1 (* h l))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (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)) l)) (pow d 2)) (pow d 2))
(* d (sqrt (/ 1 (* h (pow l 3)))))
(* -1/4 (/ (* D M) d))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/2 (/ (* D M) (* d l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2))
(* 2 (/ d (* D M)))
(/ d (* 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 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(pow d 2)
(* (pow d 2) (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -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))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* d (sqrt (/ 1 (* h (pow l 3))))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (* h l))
(* h l)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* -1/2 (/ h 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) 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)) l)) (/ (pow d 2) h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -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 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h (pow l 3)))))
(* -1 (* h (+ (* -1 (/ (pow d 2) h)) (* 1/8 (/ (* (pow D 2) (pow M 2)) l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(/ (+ (* -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)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ 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)) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -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)))))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (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) l)) (/ (pow d 2) (pow M 2))))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (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) l)) (/ (pow d 2) (pow D 2))))

Outputs
(* 1/4 (/ (* D (* M h)) d))
(.f64 (/.f64 (.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d)
(* d (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) l)) (sqrt.f64 (.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (.f64 d d))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D (.f64 d d)) (.f64 d d))
(* d (sqrt (/ 1 (* h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) d)
(* -1/4 (/ (* D M) d))
(.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d))
(* 1/2 (/ (* D M) (* d l)))
(.f64 (/.f64 (/.f64 (.f64 M D) d) l) #s(literal 1/2 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))
(.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) D)
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D (*.f64 d d))
(* 2 (/ d (* D M)))
(.f64 (/.f64 d (.f64 M D)) #s(literal 2 binary64))
(/ d (* h l))
(/.f64 (/.f64 d l) h)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (.f64 D D) d) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d)
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (.f64 (.f64 (.f64 M M) D) D)) (/.f64 #s(literal -1/8 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)))) d)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64)) (.f64 d d))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (.f64 D D) d) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (.f64 (.f64 (.f64 M M) D) D)) (/.f64 #s(literal -1/8 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)))) d)
(* -1 (* d (sqrt (/ 1 (* h (pow l 3))))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(.f64 (neg.f64 d) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (.f64 D D) d) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(sqrt (* h l))
(sqrt.f64 (*.f64 l h))
(* h l)
(*.f64 l h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) l)) (sqrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (*.f64 h d))) h)
(* -1/2 (/ h l))
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) h)
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))) h)
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) l)) (/ (pow d 2) h)))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D (*.f64 d d))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) 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 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (neg.f64 M) (/.f64 M d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h)
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 l h))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 D D)) (*.f64 (neg.f64 M) M)) (/.f64 #s(literal -1/8 binary64) l))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(.f64 (neg.f64 h) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h (pow l 3)))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))
(* -1 (* h (+ (* -1 (/ (pow d 2) h)) (* 1/8 (/ (* (pow D 2) (pow M 2)) l)))))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D (*.f64 d d))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 d h)) l)) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 D D) d) d) l) l)
(/ (+ (* -1/8 (* (pow D 2) (* (pow M 2) h))) (* (pow d 2) l)) l)
(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (.f64 D D) (.f64 (.f64 d d) l)) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d 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)))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (.f64 D D) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) l)) (/ (pow d 2) (pow M 2))))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D (*.f64 d 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 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h)))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) l)) (/ (pow d 2) (pow D 2))))
(fma.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D (*.f64 d d))

rewrite216.0ms (1.4%)

Memory

35.3MiB live, 347.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	457
0	153	424
1	513	406
2	3829	394
0	10894	394

Stop Event

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

Counts

28 → 862

Calls

Call 1

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

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

eval173.0ms (1.1%)

Memory: -40.9MiB live, 213.4MiB allocated
Compiler: Compiled 29 921 to 2 903 computations (90.3% saved)

prune78.0ms (0.5%)

Memory

19.3MiB live, 140.7MiB allocated

Pruning

64 alts after pruning (61 fresh and 3 done)

	Pruned	Kept	Total
New	665	27	692
Fresh	19	34	53
Picked	3	2	5
Done	0	1	1
Total	687	64	751

Accuracy

93.7%

Counts

751 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.1%	(fma.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)) h) (.f64 (pow.f64 l #s(literal -1 binary64)) #s(approx (sqrt ( (/ (/ d l) h) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	24.6%	(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) M) (.f64 (/.f64 (/.f64 d (sqrt.f64 (.f64 l h))) l) h)) (/.f64 d (sqrt.f64 (.f64 l h))))
	40.4%	(fma.f64 (.f64 M (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (/.f64 D d) h)))) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	27.4%	(fma.f64 #s(approx (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 D D) d) d))) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
▶	38.7%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	38.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	37.7%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	51.7%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	20.8%	(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (pow.f64 d #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) D) (/.f64 D l) (.f64 d d)))))
▶	66.3%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	64.3%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (*.f64 #s(literal 1/4 binary64) M) (/.f64 D d))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	64.4%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	64.4%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.3%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 D (/.f64 M d))) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	62.0%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d))) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	61.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	62.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) M) d) D) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
✓	62.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	64.4%	(.f64 (.f64 (fma.f64 h (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 l #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	63.3%	(.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 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64)) l) (.f64 (/.f64 M d) (.f64 (.f64 #s(literal 1/4 binary64) D) h)))))
	42.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	38.6%	(.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))))
	42.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	62.4%	(.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))))
	41.8%	(.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 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	41.8%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (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 D) d) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	38.5%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
	37.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (pow.f64 d #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) D) (/.f64 D l) (.f64 d d))))) (sqrt.f64 (/.f64 d h)))
	45.3%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	36.0%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 M (.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 (/.f64 (.f64 D D) l) h)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	38.1%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 D (.f64 (/.f64 D l) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	21.8%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	43.8%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) D) (/.f64 D l) (.f64 d d)) d) (pow.f64 d #s(literal -1 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	22.7%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	24.0%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	31.8%	(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	6.0%	(.f64 (sqrt.f64 d) #s(approx ( (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)))))
	20.1%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)))) d)) (sqrt.f64 (/.f64 d l)))
	27.1%	#s(approx (+ (* (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	22.1%	#s(approx (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	22.4%	#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 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	35.3%	#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 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	19.3%	#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 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 l h)))) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
	36.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	16.6%	#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 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	26.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	22.2%	#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 (pow.f64 (.f64 (.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	22.4%	#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 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	2.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
▶	14.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	12.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))) d))
	35.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	29.7%	#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 (/.f64 (/.f64 d l) h) d)))
▶	44.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))

Compiler

Compiled 5 358 to 3 636 computations (32.1% saved)

simplify134.0ms (0.8%)

Memory

0.0MiB live, 150.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d)))
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
cost-diff	0	(.f64 (neg.f64 D) (.f64 D (*.f64 M M)))
cost-diff	0	(.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
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 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
cost-diff	128	(.f64 (.f64 (neg.f64 D) (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))
cost-diff	0	#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d)))
cost-diff	0	(.f64 #s(approx (+ ( (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(sqrt.f64 (*.f64 l h))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 l h)))
cost-diff	0	(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
cost-diff	0	(/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l)
cost-diff	0	(.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff	320	(fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	664
0	142	660
1	266	660
2	715	654
3	3448	654
4	5844	654
0	8416	649

Stop Event

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

Calls

Call 1

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

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

localize414.0ms (2.6%)

Memory

-14.9MiB live, 426.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.436852077014515	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
accuracy	4.056864361665704	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	4.664932732031747	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	7.460290629459348	(sqrt.f64 (/.f64 d l))
accuracy	5.308288528826632	(.f64 D (.f64 M M))
accuracy	9.394491018913012	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	10.162279029965932	(.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
accuracy	15.57348820014362	#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 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
accuracy	7.460290629459348	(sqrt.f64 (/.f64 d l))
accuracy	7.753475081357702	(.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))
accuracy	7.823946364393506	(sqrt.f64 (/.f64 d h))
accuracy	16.067637520633244	#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d)))
accuracy	0.0	(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	0.09765625	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	7.00269043220579	(sqrt.f64 (*.f64 l h))
accuracy	20.255093111106998	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
accuracy	2.838849331107904	(.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))
accuracy	3.9958204534602224	(/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l)
accuracy	7.460290629459348	(sqrt.f64 (/.f64 d l))
accuracy	7.823946364393506	(sqrt.f64 (/.f64 d h))

Samples

164.0ms	145×	0	valid
108.0ms	111×	0	invalid

Compiler

Compiled 1 285 to 171 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-div: 55.0ms (33.2% of total)

ival-mult: 46.0ms (27.8% of total)

ival-neg: 23.0ms (13.9% of total)

ival-pow: 23.0ms (13.9% of total)

ival-sqrt: 10.0ms (6% of total)

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

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

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

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

exact: 1.0ms (0.6% of total)

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

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

series168.0ms (1.1%)

Memory

8.3MiB live, 281.9MiB allocated

Counts

26 → 82

Calls

Call 1

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

Outputs
(* -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)) 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)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(* -1/2 (/ (* D M) (* d l)))
(fabs (* d (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (sqrt (/ 1 (pow l 3))))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 l)))) d)
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(sqrt (/ d h))
(sqrt (/ d l))
(* 1/4 (/ (* D (* M h)) d))
(* 2 (/ d (* D M)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (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 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* 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)) (sqrt (/ 1 l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(sqrt (* h l))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(sqrt (/ h (pow l 3)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (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)))))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* h (+ (* -1 (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt (/ 1 (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)))))))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt l))) (* (* d (sqrt -1)) (sqrt (pow l 3)))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 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 (pow (sqrt -1) 3)) (sqrt (/ 1 l)))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 3)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 l))))
(* (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 (* (pow D 2) (pow M 2)))
(* D (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) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow M 2)) (sqrt (/ 1 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 D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow D 2)) (sqrt (/ 1 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)))))

Calls

15 calls:

Time	Variable		Point	Expression
30.0ms	d	@	inf	((+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (* (* (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (/ (* (* D (/ M d)) -1/2) l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (* h (/ (* M M) l)) -1/8) D) (/ (/ D d) d)) (* (* (neg D) (* D (* M M))) (/ -1/8 d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (neg D) (* D (* M M))) (/ -1/8 d)) (sqrt (/ h (pow l 3)))) (* (neg D) (* D (* M M))) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ M d) h) (* 1/4 D)) (sqrt (/ h (pow l 3))) (* D (* M M)) (* (/ 2 M) (/ d D)))
29.0ms	D	@	0	((+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (* (* (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (/ (* (* D (/ M d)) -1/2) l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (* h (/ (* M M) l)) -1/8) D) (/ (/ D d) d)) (* (* (neg D) (* D (* M M))) (/ -1/8 d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (neg D) (* D (* M M))) (/ -1/8 d)) (sqrt (/ h (pow l 3)))) (* (neg D) (* D (* M M))) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ M d) h) (* 1/4 D)) (sqrt (/ h (pow l 3))) (* D (* M M)) (* (/ 2 M) (/ d D)))
11.0ms	l	@	0	((+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (* (* (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (/ (* (* D (/ M d)) -1/2) l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (* h (/ (* M M) l)) -1/8) D) (/ (/ D d) d)) (* (* (neg D) (* D (* M M))) (/ -1/8 d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (neg D) (* D (* M M))) (/ -1/8 d)) (sqrt (/ h (pow l 3)))) (* (neg D) (* D (* M M))) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ M d) h) (* 1/4 D)) (sqrt (/ h (pow l 3))) (* D (* M M)) (* (/ 2 M) (/ d D)))
10.0ms	l	@	-inf	((+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (* (* (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (/ (* (* D (/ M d)) -1/2) l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (* h (/ (* M M) l)) -1/8) D) (/ (/ D d) d)) (* (* (neg D) (* D (* M M))) (/ -1/8 d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (neg D) (* D (* M M))) (/ -1/8 d)) (sqrt (/ h (pow l 3)))) (* (neg D) (* D (* M M))) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ M d) h) (* 1/4 D)) (sqrt (/ h (pow l 3))) (* D (* M M)) (* (/ 2 M) (/ d D)))
10.0ms	D	@	-inf	((+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (* (* (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (/ (* (* D (/ M d)) -1/2) l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (* h (/ (* M M) l)) -1/8) D) (/ (/ D d) d)) (* (* (neg D) (* D (* M M))) (/ -1/8 d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (neg D) (* D (* M M))) (/ -1/8 d)) (sqrt (/ h (pow l 3)))) (* (neg D) (* D (* M M))) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ M d) h) (* 1/4 D)) (sqrt (/ h (pow l 3))) (* D (* M M)) (* (/ 2 M) (/ d D)))

simplify141.0ms (0.9%)

Memory

4.5MiB live, 185.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	379	1819
1	1118	1732
2	4024	1721
0	8077	1675

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 82

Calls

Call 1

Inputs
(* -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)) 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)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(* -1/2 (/ (* D M) (* d l)))
(fabs (* d (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(* 1/8 (/ (* (pow D 2) (pow M 2)) d))
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (sqrt (/ 1 (pow l 3))))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 l)))) d)
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(sqrt (/ d h))
(sqrt (/ d l))
(* 1/4 (/ (* D (* M h)) d))
(* 2 (/ d (* D M)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (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 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* 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)) (sqrt (/ 1 l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(sqrt (* h l))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(sqrt (/ h (pow l 3)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (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)))))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* h (+ (* -1 (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt (/ 1 (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)))))))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt l))) (* (* d (sqrt -1)) (sqrt (pow l 3)))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 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 (pow (sqrt -1) 3)) (sqrt (/ 1 l)))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 3)))) d) (sqrt (/ 1 (pow l 3))))) (* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 l))))
(* (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 (* (pow D 2) (pow M 2)))
(* D (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) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow M 2)) (sqrt (/ 1 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 D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow D 2)) (sqrt (/ 1 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)))))

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

rewrite203.0ms (1.3%)

Memory

8.3MiB live, 270.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	486
0	142	482
1	428	471
2	2710	453
0	8510	453

Stop Event

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

Counts

26 → 785

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) D)) l))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) D)) l)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) D)) l))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l))))) (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) #s(literal 1/4 binary64)) D #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) D) #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 (/.f64 M d) D)) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) (.f64 #s(literal 1/4 binary64) (*.f64 h (/.f64 M d)))) D #s(literal 1 binary64))
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(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(sqrt.f64 (/.f64 d h))
(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))))
(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 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(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 d h)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (sqrt.f64 d) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 l))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 l)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 l d) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 d l))
(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 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(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 d l)) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 M d)) h)
(.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))
(.f64 (.f64 #s(literal 1/4 binary64) (*.f64 h (/.f64 M d))) D)
(.f64 (.f64 #s(literal 1/4 binary64) D) (*.f64 h (/.f64 M d)))
(.f64 #s(literal 1/4 binary64) (.f64 D (*.f64 h (/.f64 M d))))
(.f64 (.f64 h (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D))
(.f64 h (.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))
(.f64 (/.f64 M d) (.f64 (*.f64 #s(literal 1/4 binary64) D) h))
(.f64 M (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) D) h)))
(.f64 D (.f64 #s(literal 1/4 binary64) (*.f64 h (/.f64 M d))))
(/.f64 (neg.f64 (.f64 (.f64 h M) (*.f64 #s(literal 1/4 binary64) D))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (neg.f64 M) (.f64 (*.f64 #s(literal 1/4 binary64) D) h))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) D) h))) (neg.f64 (/.f64 d M)))
(/.f64 (neg.f64 (.f64 M (.f64 (*.f64 #s(literal 1/4 binary64) D) h))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) (*.f64 h M))) (neg.f64 d))
(/.f64 (.f64 (.f64 h M) (*.f64 #s(literal 1/4 binary64) D)) d)
(/.f64 (.f64 (neg.f64 M) (.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (neg.f64 d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (/.f64 d M))
(/.f64 (.f64 M (.f64 (*.f64 #s(literal 1/4 binary64) D) h)) d)
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) (*.f64 h M)) d)
(*.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)))
(*.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 h) (pow.f64 l #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 h (neg.f64 (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 h (neg.f64 (pow.f64 l #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (pow.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 h)) (pow.f64 (pow.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)))
(pow.f64 (exp.f64 (log.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1/2 binary64))
(pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 h))) (neg.f64 (neg.f64 (pow.f64 l #s(literal 3/2 binary64)))))
(/.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3/2 binary64)))) (pow.f64 l #s(literal 3/4 binary64)))
(/.f64 (sqrt.f64 (/.f64 h (*.f64 l l))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (*.f64 h #s(literal 1 binary64))) (pow.f64 l #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (pow.f64 l #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 h))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)))
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(.f64 (.f64 M M) D)
(.f64 (.f64 M D) M)
(.f64 M (.f64 M D))
(.f64 D (.f64 M M))
(*.f64 (exp.f64 (log.f64 (/.f64 d D))) (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) M))))
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) M))) (exp.f64 (log.f64 (/.f64 d D))))
(*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M))
(.f64 (.f64 (/.f64 d D) #s(literal 2 binary64)) (pow.f64 M #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) M) d) (pow.f64 D #s(literal -1 binary64)))
(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D))
(*.f64 (/.f64 d D) (/.f64 #s(literal 2 binary64) M))
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
(.f64 (.f64 #s(literal 2 binary64) d) (pow.f64 (*.f64 M D) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (/.f64 M d) D) #s(literal -1 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D)))
(.f64 d (pow.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 d (/.f64 #s(literal 2 binary64) (.f64 M D)))
(pow.f64 (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 M d) D)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal 2 binary64) M))) (neg.f64 (neg.f64 D)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 d D))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal -2 binary64))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (.f64 (/.f64 d D) #s(literal 1 binary64))) (neg.f64 (.f64 M #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (neg.f64 d))) (neg.f64 (neg.f64 D)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64))) (/.f64 (neg.f64 D) d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d))) (neg.f64 (neg.f64 D)))
(/.f64 (neg.f64 (.f64 (neg.f64 d) #s(literal -2 binary64))) (neg.f64 (.f64 (neg.f64 D) (neg.f64 M))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (neg.f64 d))) (neg.f64 (.f64 (neg.f64 M) (neg.f64 D))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) M)) (/.f64 (neg.f64 D) d))
(/.f64 (neg.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 D) (*.f64 M #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (neg.f64 (.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) d)) (neg.f64 (.f64 (*.f64 M #s(literal 1/2 binary64)) D)))
(/.f64 (neg.f64 (.f64 d #s(literal 1 binary64))) (neg.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64))))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)))) (exp.f64 (log.f64 M)))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d))) (exp.f64 (log.f64 D)))
(/.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) d))) (exp.f64 (log.f64 (.f64 M D))))
(/.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal 2 binary64) M)) (neg.f64 D))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 d D)) (neg.f64 M))
(/.f64 (*.f64 (/.f64 d D) #s(literal -2 binary64)) (neg.f64 M))
(/.f64 (.f64 (/.f64 d D) #s(literal 1 binary64)) (.f64 M #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (neg.f64 d)) (neg.f64 D))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64)) (/.f64 D d))
(/.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64))) (neg.f64 M))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d)) (neg.f64 D))
(/.f64 (neg.f64 (/.f64 d D)) (neg.f64 (*.f64 M #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) d)) (neg.f64 (.f64 (neg.f64 D) M)))
(/.f64 (.f64 (neg.f64 d) #s(literal -2 binary64)) (.f64 (neg.f64 D) (neg.f64 M)))
(/.f64 (.f64 #s(literal -2 binary64) (neg.f64 d)) (.f64 (neg.f64 M) (neg.f64 D)))
(/.f64 (.f64 (neg.f64 d) #s(literal 1 binary64)) (.f64 (neg.f64 D) (*.f64 M #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 d)) (.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D)))
(/.f64 (.f64 #s(literal 1 binary64) d) (.f64 (*.f64 M #s(literal 1/2 binary64)) D))
(/.f64 (.f64 d #s(literal 1 binary64)) (.f64 (*.f64 M D) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)) M)
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) D)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 M d) D))))
(/.f64 (.f64 #s(literal -2 binary64) d) (.f64 (neg.f64 D) M))
(/.f64 (/.f64 d D) (*.f64 M #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 D d))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (/.f64 D d) M)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (/.f64 M d) D)))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 D d) (neg.f64 M)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 M) (/.f64 D d)))
(/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (/.f64 D d) (neg.f64 M))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 M) (/.f64 D d))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 M d) D))
(/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 M d) D)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 D) M)) (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 (neg.f64 D) M)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 D)) (.f64 M #s(literal 1/2 binary64))) (/.f64 (/.f64 d (neg.f64 D)) (.f64 M #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 M d) D))))

eval137.0ms (0.9%)

Memory: -0.4MiB live, 205.9MiB allocated
Compiler: Compiled 43 311 to 4 007 computations (90.7% saved)

prune130.0ms (0.8%)

Memory

-12.6MiB live, 277.0MiB allocated

Pruning

68 alts after pruning (64 fresh and 4 done)

	Pruned	Kept	Total
New	928	34	962
Fresh	26	30	56
Picked	3	2	5
Done	1	2	3
Total	958	68	1 026

Accuracy

94.2%

Counts

1 026 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.1%	(fma.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)) h) (.f64 (pow.f64 l #s(literal -1 binary64)) #s(approx (sqrt ( (/ (/ d l) h) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	40.4%	(fma.f64 (.f64 M (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (/.f64 D d) h)))) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	40.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 M d) D))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 M d) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	42.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	38.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	38.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	21.5%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	3.6%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	33.1%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
	51.7%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	10.4%	(.f64 (/.f64 (.f64 (sqrt.f64 d) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (/.f64 (/.f64 D d) d) D) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 M M) l) h))))) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l)))
	10.6%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (/.f64 (/.f64 D d) d) D) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 M M) l) h)))))
	64.5%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (/.f64 #s(literal -1/2 binary64) l)) d) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	59.9%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 d l)) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	42.5%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
	32.4%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l)))
	66.5%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l)))
	42.5%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 d l)))
	42.9%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	42.9%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)))))
✓	66.3%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	3.9%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) #s(approx (sqrt (/ d h)) (neg.f64 (sqrt.f64 (/.f64 d h))))) (sqrt.f64 (/.f64 d l)))
	64.4%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.3%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 M d) D) (.f64 (/.f64 #s(literal -1/2 binary64) l) (.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	67.9%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	62.0%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d))) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	61.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	64.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) D)) l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	63.3%	(.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 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64)) l) (.f64 (/.f64 M d) (.f64 (.f64 #s(literal 1/4 binary64) D) h)))))
	38.6%	(.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))))
	41.8%	(.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 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	41.8%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (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 D) d) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
	37.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (pow.f64 d #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) D) (/.f64 D l) (.f64 d d))))) (sqrt.f64 (/.f64 d h)))
	29.3%	(.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 (/.f64 M d) D)) #s(literal -2 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l)))) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 h))) #s(literal -1 binary64)))
	22.7%	(.f64 (.f64 #s(approx (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	36.0%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 M (.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 (/.f64 (.f64 D D) l) h)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	38.1%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 D (.f64 (/.f64 D l) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	21.8%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) l) h)) D) D) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	24.1%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) l) h)) D) (*.f64 (/.f64 d D) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	43.8%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) D) (/.f64 D l) (.f64 d d)) d) (pow.f64 d #s(literal -1 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	14.5%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
	14.4%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
	23.6%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 h (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (*.f64 (/.f64 (/.f64 D d) d) D)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	31.8%	(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	6.0%	(.f64 (sqrt.f64 d) #s(approx ( (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)))))
	12.3%	(.f64 #s(approx ( (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) l)))) (sqrt.f64 (/.f64 d l)))
	35.9%	(.f64 #s(approx ( (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	27.1%	#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	35.3%	#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 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	19.3%	#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 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 l h)))) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
	36.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
	16.6%	#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 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
	17.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	26.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	44.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (fabs.f64 d))))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
	12.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64)))))))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))) d))
✓	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	29.7%	#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 (/.f64 (/.f64 d l) h) d)))
✓	44.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 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)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))

Compiler

Compiled 8 460 to 2 672 computations (68.4% saved)

regimes373.0ms (2.3%)

Memory

6.1MiB live, 363.9MiB allocated

Counts

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

Outputs

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

Calls

7 calls:

79.0ms	(.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))))
68.0ms	(*.f64 M D)
58.0ms	M
42.0ms	l
42.0ms	d

Results

Accuracy	Segments	Branch
79.6%	3	`d`
80.1%	4	`h`
81.9%	5	`l`
67.9%	1	`M`
67.9%	1	`D`
78.9%	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))))`
67.9%	1	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes248.0ms (1.6%)

Memory

-27.9MiB live, 135.0MiB allocated

Counts

116 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 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 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (+ (* (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 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 (/.f64 (/.f64 d l) 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l 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)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.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 #s(literal -1 binary64) h) (neg.f64 l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (fabs.f64 d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 d) #s(approx ( (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (neg.f64 (sqrt.f64 (/.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)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) 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 d l)) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (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 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (/.f64 (/.f64 D d) d) D) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 M M) l) h)))))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 l h)))) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) l) h)) D) D) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 h (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (*.f64 (/.f64 (/.f64 D d) d) D)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) l) h)) D) (*.f64 (/.f64 d D) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 D (.f64 (/.f64 D l) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 M (.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 (/.f64 (.f64 D D) l) h)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) (/.f64 (.f64 D D) l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 d l)) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) D)) l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M d) D) (.f64 (/.f64 #s(literal -1/2 binary64) l) (.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (*.f64 #s(literal 1/4 binary64) M) (/.f64 D d))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (/.f64 #s(literal -1/2 binary64) l)) d) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 D (/.f64 M d))) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) #s(approx (sqrt (/ d h)) (neg.f64 (sqrt.f64 (/.f64 d h))))) (sqrt.f64 (/.f64 d l)))
(.f64 (/.f64 (.f64 (sqrt.f64 d) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (/.f64 (/.f64 D d) d) D) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 M M) l) h))))) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d))) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) M) (.f64 (/.f64 (/.f64 d (sqrt.f64 (.f64 l h))) l) h)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 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 (pow.f64 (.f64 (.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l l) (.f64 h h)) #s(literal -1/2 binary64))) d))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 M d) D))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 M d) D)) #s(literal 1 binary64)) (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 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.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 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 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 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 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 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 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 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64)))))))
(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (pow.f64 d #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) D) (/.f64 D l) (.f64 d d)))))
(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) l)))) (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)))) (fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) 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 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (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 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (pow.f64 d #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) D) (/.f64 D l) (.f64 d d))))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) M) d) D) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) D) (/.f64 D l) (.f64 d d)) d) (pow.f64 d #s(literal -1 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)))) d)) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (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 (pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 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)))) (exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(fma.f64 #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (.f64 (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) d) (/.f64 (.f64 D D) d))) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
(fma.f64 #s(approx (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (/.f64 (/.f64 (.f64 D D) d) d))) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
(fma.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)) h) (.f64 (pow.f64 l #s(literal -1 binary64)) #s(approx (sqrt ( (/ (/ d l) h) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(fma.f64 (.f64 M (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) (.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (/.f64 D d) h)))) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(fma.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(fma.f64 (.f64 (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) #s(literal -1/2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(.f64 (sqrt.f64 d) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))))
(.f64 (.f64 (fma.f64 h (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 l #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
(fma.f64 (pow.f64 l #s(literal -1 binary64)) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal -1/2 binary64) h) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 (/.f64 M d) D)) #s(literal -2 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l)))) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 h))) #s(literal -1 binary64)))
(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 d (*.f64 l h)) d)))

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

Calls

3 calls:

69.0ms	d
62.0ms	h
43.0ms	l

Results

Accuracy	Segments	Branch
79.2%	4	`h`
79.6%	4	`l`
77.3%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes40.0ms (0.2%)

Memory

5.0MiB live, 43.0MiB allocated

Counts

97 → 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 l h))))
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(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (pow.f64 d #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) D) (/.f64 D l) (.f64 d d))))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) M) d) D) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h)) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) D) (/.f64 D l) (.f64 d d)) d) (pow.f64 d #s(literal -1 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 d l)))
(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h d)))) d)) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 d) (.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (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 (pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64))))

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

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
79.6%	4	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes20.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
77.8%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes107.0ms (0.7%)

Memory

-4.9MiB live, 70.4MiB 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 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 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (+ (* (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 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 (/.f64 (/.f64 d l) 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l 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)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.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 #s(literal -1 binary64) h) (neg.f64 l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (fabs.f64 d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 d) #s(approx ( (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (neg.f64 (sqrt.f64 (/.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)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) 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 d l)) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (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 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (/.f64 (/.f64 D d) d) D) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 M M) l) h)))))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 l h)))) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) l) h)) D) D) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 h (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (*.f64 (/.f64 (/.f64 D d) d) D)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) l) h)) D) (*.f64 (/.f64 d D) d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 D (.f64 (/.f64 D l) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 M (.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 (/.f64 (.f64 D D) l) h)) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) (/.f64 (.f64 D D) l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 d l)) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) h) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) D)) l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l) h) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M d) D) (.f64 (/.f64 #s(literal -1/2 binary64) l) (.f64 (.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (*.f64 #s(literal 1/4 binary64) M) (/.f64 D d))) h #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (/.f64 #s(literal -1/2 binary64) l)) d) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 D (/.f64 M d))) (neg.f64 (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) #s(approx (sqrt (/ d h)) (neg.f64 (sqrt.f64 (/.f64 d h))))) (sqrt.f64 (/.f64 d l)))
(.f64 (/.f64 (.f64 (sqrt.f64 d) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (/.f64 (/.f64 D d) d) D) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 M M) l) h))))) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d))) (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 D d)) M) (.f64 (/.f64 (/.f64 d (sqrt.f64 (.f64 l h))) l) h)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (.f64 (.f64 h (/.f64 (*.f64 M M) l)) #s(literal -1/8 binary64)) D) (/.f64 (/.f64 D d) d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 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 (pow.f64 (.f64 (.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l)))

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

Calls

3 calls:

62.0ms

26.0ms

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

16.0ms

Results

Accuracy	Segments	Branch
78.9%	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))))`
73.2%	3	`h`
72.9%	3	`l`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes40.0ms (0.3%)

Memory

-6.8MiB live, 37.4MiB allocated

Counts

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

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

Calls

2 calls:

27.0ms

10.0ms

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

Results

Accuracy	Segments	Branch
70.0%	3	`d`
75.6%	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 36 to 27 computations (25% saved)

regimes57.0ms (0.4%)

Memory

24.8MiB live, 61.1MiB allocated

Counts

39 → 4

Calls

Call 1

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

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

Calls

3 calls:

32.0ms

12.0ms

10.0ms

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

Results

Accuracy	Segments	Branch
65.7%	2	`l`
68.1%	3	`h`
73.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes121.0ms (0.8%)

Memory

-22.5MiB live, 98.8MiB allocated

Counts

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

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

Calls

6 calls:

35.0ms	h
31.0ms	(.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))))
20.0ms	M
11.0ms	d
11.0ms	D

Results

Accuracy	Segments	Branch
57.5%	3	`h`
64.8%	4	`d`
58.4%	2	`M`
52.9%	3	`D`
58.7%	3	`(*.f64 M D)`
69.4%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 42 to 48 computations (-14.3% saved)

regimes11.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
69.2%	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 35 to 22 computations (37.1% saved)

regimes62.0ms (0.4%)

Memory

-12.2MiB live, 25.4MiB 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 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 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (+ (* (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 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 (/.f64 (/.f64 d l) 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l 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)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.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 #s(literal -1 binary64) h) (neg.f64 l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (fabs.f64 d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 d) #s(approx ( (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (neg.f64 (sqrt.f64 (/.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)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) 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 d l)) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (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 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (/.f64 (/.f64 D d) d) D) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 M M) l) h)))))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 l h)))) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) l) h)) D) D) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 h (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) l)) (*.f64 (/.f64 (/.f64 D d) d) D)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

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

Calls

1 calls:

60.0ms

(*.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
68.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes40.0ms (0.3%)

Memory

5.8MiB live, 41.9MiB 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 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 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (+ (* (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (+ (* (* (* (/ (* M (* 1/4 D)) (neg d)) (* (/ M (* 2 d)) D)) h) (* (pow l -1) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
#s(approx (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt (neg d))) (sqrt (neg h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 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 (/.f64 (/.f64 d l) 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l 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)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.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 #s(literal -1 binary64) h) (neg.f64 l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) (fabs.f64 d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 #s(approx ( (+ (* (/ (* (* D (/ M d)) -1/2) l) (* (* (/ M d) h) (* 1/4 D))) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 d) #s(approx ( (pow h -1/2) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l)))) (neg.f64 (sqrt.f64 (/.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)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) 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 d l)) (sqrt.f64 (/.f64 h d))))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (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 (.f64 (.f64 (neg.f64 D) (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (.f64 (.f64 (/.f64 (/.f64 D d) d) D) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (*.f64 M M) l) h)))))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 M d))) (.f64 D (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M d) D)) l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 l h)))) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) h) (/ (* D D) l)) (* d d)) (.f64 (.f64 (.f64 (.f64 h (/.f64 (.f64 M M) l)) #s(literal -1/8 binary64)) D) D)) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 M M) l) h)) D) D) (.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

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

Calls

2 calls:

30.0ms

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
55.7%	3	`l`
66.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes73.0ms (0.5%)

Memory

-19.5MiB live, 65.3MiB allocated

Counts

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

Calls

4 calls:

40.0ms	d
14.0ms	(*.f64 M D)
8.0ms	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
51.6%	3	`(*.f64 M D)`
52.0%	3	`M`
57.7%	3	`d`
59.9%	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 38 computations (5% saved)

regimes69.0ms (0.4%)

Memory

20.1MiB live, 97.1MiB allocated

Counts

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

Calls

7 calls:

18.0ms	h
15.0ms	M
7.0ms	l
7.0ms	d
7.0ms	D

Results

Accuracy	Segments	Branch
46.0%	2	`(*.f64 M D)`
45.6%	2	`M`
44.0%	1	`D`
47.3%	2	`l`
46.8%	2	`h`
46.8%	2	`d`
52.0%	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))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes6.0ms (0%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
48.2%	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))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes38.0ms (0.2%)

Memory

-26.6MiB live, 11.2MiB allocated

Counts

4 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 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 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))

Outputs

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

Calls

1 calls:

38.0ms

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

Results

Accuracy	Segments	Branch
47.4%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes3.0ms (0%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

Calls

2 calls:

2.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
44.0%	1	`l`
47.0%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes60.0ms (0.4%)

Memory

-29.7MiB live, 18.4MiB 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 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 d (sqrt.f64 (*.f64 l h))))

Calls

7 calls:

52.0ms	M
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	l
1.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
26.8%	1	`l`
26.8%	1	`D`
26.8%	1	`M`
26.8%	1	`(*.f64 M D)`
26.8%	1	`d`
26.8%	1	`h`
26.8%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch180.0ms (1.1%)

Memory

35.3MiB live, 112.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
124.0ms	2.5100121776015457e-31	1.1384939052352976e-25
43.0ms	-7.625503805273666e-308	1.4556545529857582e-307

Samples

101.0ms	326×	0	invalid
42.0ms	256×	0	valid

Compiler

Compiled 1 090 to 826 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 39.0ms (49% of total)

ival-mult: 19.0ms (23.9% of total)

ival-pow: 12.0ms (15.1% of total)

ival-pow2: 6.0ms (7.5% of total)

ival-sub: 3.0ms (3.8% of total)

exact: 1.0ms (1.3% of total)

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

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

bsearch255.0ms (1.6%)

Memory

-2.4MiB live, 236.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
77.0ms	5.048384882455487e+212	1.3010931111569834e+213
89.0ms	-1.3512584503389094e-291	-1.133742808901819e-307
73.0ms	-2.5631367443017852e+120	-1.876854485769482e+117

Samples

111.0ms	368×	0	valid
90.0ms	383×	0	invalid

Compiler

Compiled 1 592 to 1 222 computations (23.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-div: 74.0ms (48.7% of total)

ival-mult: 40.0ms (26.3% of total)

ival-pow: 24.0ms (15.8% of total)

ival-pow2: 8.0ms (5.3% of total)

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

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

exact: 1.0ms (0.7% of total)

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

bsearch34.0ms (0.2%)

Memory

-27.0MiB live, 10.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	5.048384882455487e+212	1.3010931111569834e+213
30.0ms	-1.3512584503389094e-291	-1.133742808901819e-307
2.0ms	-2.5631367443017852e+120	-1.876854485769482e+117

Compiler

Compiled 1 576 to 1 206 computations (23.5% saved)

bsearch48.0ms (0.3%)

Memory

10.8MiB live, 49.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.048384882455487e+212	1.3010931111569834e+213
43.0ms	-1.0457616503851434e-290	-1.3512584503389094e-291

Samples

23.0ms	96×	0	valid
12.0ms	84×	0	invalid

Compiler

Compiled 792 to 590 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-pow: 13.0ms (45.3% of total)

ival-div: 7.0ms (24.4% of total)

ival-mult: 6.0ms (20.9% of total)

ival-pow2: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0686152264960615e+148	6.627197326858611e+161
0.0ms	0.0	5.195396674233769e-241
0.0ms	-1.796278152934298e-191	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0686152264960615e+148	6.627197326858611e+161
0.0ms	0.0	5.195396674233769e-241
0.0ms	-1.796278152934298e-191	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0686152264960615e+148	6.627197326858611e+161
0.0ms	0.0	5.195396674233769e-241
0.0ms	-6.384587733131645e-134	-1.796278152934298e-191

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0686152264960615e+148	6.627197326858611e+161
0.0ms	0.0	5.195396674233769e-241
0.0ms	-1.0152354131285788e-96	-8.293978921838094e-118

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0686152264960615e+148	6.627197326858611e+161
0.0ms	0.0	5.195396674233769e-241
0.0ms	-1.0152354131285788e-96	-8.293978921838094e-118

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0686152264960615e+148	6.627197326858611e+161
0.0ms	0.0	5.195396674233769e-241
0.0ms	-1.0152354131285788e-96	-8.293978921838094e-118

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0686152264960615e+148	6.627197326858611e+161
0.0ms	0.0	5.195396674233769e-241
0.0ms	-6.384587733131645e-134	-1.796278152934298e-191

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0686152264960615e+148	6.627197326858611e+161
0.0ms	0.0	5.195396674233769e-241
0.0ms	-6.384587733131645e-134	-1.796278152934298e-191

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0686152264960615e+148	6.627197326858611e+161
0.0ms	0.0	5.195396674233769e-241
0.0ms	-6887380395.355656	-2.0732539393698276e-13

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6887380395.355656	-2.0732539393698276e-13

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.384587733131645e-134	-1.796278152934298e-191

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.384587733131645e-134	-1.796278152934298e-191

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify129.0ms (0.8%)

Memory

-17.8MiB live, 101.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	3233
1	312	3233
2	552	3233
3	1786	3233
4	5000	3233

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (if (<=.f64 d #s(literal 3902630409742859/22300745198530623141535718272648361505980416 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) (.f64 (.f64 (/.f64 #s(literal 1 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 (fma.f64 (/.f64 (.f64 (.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) l) (.f64 (.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l)))))
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Outputs
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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 l h))))

soundness1.8s (11.6%)

Memory

39.4MiB live, 1 230.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	1528
1	908	1443
2	3188	1424
3	6911	1410
0	8775	1376
0	147	635
1	413	593
2	1514	584
3	4190	568
4	7941	568
0	8163	552
0	93	457
0	153	424
1	513	406
2	3829	394
0	10894	394
0	68	313
0	110	299
1	347	281
2	2229	269
0	8633	269
0	89	486
0	142	482
1	428	471
2	2710	453
0	8510	453
0	22	72
0	38	68
1	124	67
2	836	67
0	8760	65
0	268	1197
1	774	1152
2	2695	1144
3	5599	1141
0	8410	1108

Stop Event

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

Compiler

Compiled 8 262 to 3 254 computations (60.6% saved)

preprocess153.0ms (1%)

Memory: -19.9MiB live, 291.7MiB allocated
Compiler: Compiled 8 052 to 918 computations (88.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze547.0ms (3.4%)

sample6.3s (39.4%)

explain378.0ms (2.4%)

preprocess179.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify168.0ms (1.1%)

localize75.0ms (0.5%)

series82.0ms (0.5%)

simplify123.0ms (0.8%)

rewrite212.0ms (1.3%)

eval67.0ms (0.4%)

prune45.0ms (0.3%)

simplify114.0ms (0.7%)

localize277.0ms (1.7%)

series168.0ms (1.1%)

simplify164.0ms (1%)

rewrite235.0ms (1.5%)

eval142.0ms (0.9%)

prune88.0ms (0.6%)

simplify165.0ms (1%)

localize292.0ms (1.8%)

series131.0ms (0.8%)

simplify147.0ms (0.9%)

rewrite216.0ms (1.4%)

eval173.0ms (1.1%)

prune78.0ms (0.5%)

simplify134.0ms (0.8%)

localize414.0ms (2.6%)

series168.0ms (1.1%)

simplify141.0ms (0.9%)

rewrite203.0ms (1.3%)

eval137.0ms (0.9%)

prune130.0ms (0.8%)

regimes373.0ms (2.3%)

regimes248.0ms (1.6%)

regimes40.0ms (0.2%)

regimes20.0ms (0.1%)

regimes107.0ms (0.7%)

regimes40.0ms (0.3%)

regimes57.0ms (0.4%)

regimes121.0ms (0.8%)

regimes11.0ms (0.1%)

regimes62.0ms (0.4%)

regimes40.0ms (0.3%)

regimes73.0ms (0.5%)

regimes69.0ms (0.4%)

regimes6.0ms (0%)

regimes38.0ms (0.2%)

regimes3.0ms (0%)

regimes60.0ms (0.4%)

bsearch180.0ms (1.1%)

bsearch255.0ms (1.6%)

bsearch34.0ms (0.2%)

bsearch48.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify129.0ms (0.8%)

soundness1.8s (11.6%)

preprocess153.0ms (1%)

end0.0ms (0%)

Profiling