Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.4MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze650.0ms (4.5%)

Memory

-12.1MiB live, 991.0MiB allocated; 246ms collecting garbage

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)

sample6.4s (44.3%)

Memory

66.2MiB live, 7 824.8MiB allocated; 2.6s collecting garbage

Samples

2.6s	13 427×	0	invalid
1.6s	8 256×	0	valid

Precisions

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

ival-mult: 1.1s (35.6% of total)

ival-div: 966.0ms (30.4% of total)

ival-pow: 626.0ms (19.7% of total)

ival-pow2: 249.0ms (7.8% of total)

ival-sub: 144.0ms (4.5% of total)

exact: 24.0ms (0.8% of total)

ival-true: 18.0ms (0.6% of total)

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

adjust: 8.0ms (0.3% of total)

Bogosity

explain371.0ms (2.6%)

Memory

-30.9MiB live, 585.6MiB allocated; 98ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
62	-	1	(-8.718065730281327e-57 -3.345757014559518e+256 -1.0633155610473049e+288 1.1977787092504898e-266 -3.5666768709408774e+41)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
51	-	2	(2.5100573165827475e-191 9.300491270682913e-217 3.8202257616499256e+96 1.4824932380482747e+138 2.4264207122721366e-259)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
49	-	4	(5.107589951372319e-307 1.645292702304603e+136 42565152690.13974 3.278287529423828e-154 1.1601859896766494e+254)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
25	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
11	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	31	0
↳	`(/.f64 d h)`	underflow	31
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	30	0
↳	`(/.f64 d h)`	overflow	30
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	27	0
↳	`(/.f64 d l)`	overflow	27
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	18	0
↳	`(/.f64 d l)`	underflow	18
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	11	0
↳	`(*.f64 M D)`	overflow	32
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	10	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	9	0
↳	`(/.f64 d h)`	underflow	31
↳	`(/.f64 d l)`	underflow	18
↳	`(*.f64 (pow.f64 (/.f64 d 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	14
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	75
↳	`(.f64 (/.f64 #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 h l)`	overflow	33
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	78
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	78
↳	`(*.f64 M D)`	overflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	43
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	91
↳	`(.f64 (/.f64 #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	91
↳	`(*.f64 M D)`	underflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	33
↳	`(/.f64 h l)`	overflow	33
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	75
↳	`(.f64 (/.f64 #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 M D)`	overflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	43
↳	`(/.f64 h l)`	underflow	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))))`	*no**	2	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	33

Confusion

	Predicted +	Predicted -
+	81	7
-	29	139

Precision

0.7363636363636363

Recall

0.9204545454545454

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	7
-	29	0	139

Precision?

0.7363636363636363

Recall?

0.9204545454545454

Freqs

test

number	freq
0	146
1	79
2	24
3	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

137.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 53.0ms (51% of total)

ival-pow: 19.0ms (18.3% of total)

ival-div: 18.0ms (17.3% of total)

ival-pow2: 9.0ms (8.7% of total)

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

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

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

preprocess154.0ms (1.1%)

Memory

48.3MiB live, 282.4MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	514	553
2	1813	548
3	4797	548
0	22	29
0	38	27
1	67	27
2	170	27
3	1133	27
4	3660	27
5	6066	27
0	8129	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 l))) (sqrt.f64 (/.f64 d h)))

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune44.0ms (0.3%)

Memory

-45.0MiB live, 16.6MiB allocated; 58ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

67.1%

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

simplify206.0ms (1.4%)

Memory

15.2MiB live, 238.4MiB allocated; 121ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	1	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	1	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(/.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	170	126
3	1133	126
4	3660	126
5	6066	126
0	8129	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 l))) (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 #s(literal 1 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)

localize70.0ms (0.5%)

Memory

-10.7MiB live, 135.1MiB allocated; 19ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.691666087879491	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	11.247283492483628	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	11.612687920945817	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	14.530829124688507	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

48.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 10.0ms (29.5% of total)

ival-mult: 9.0ms (26.5% of total)

ival-pow: 9.0ms (26.5% of total)

ival-pow2: 4.0ms (11.8% of total)

ival-sub: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory

16.8MiB live, 63.5MiB allocated; 5ms collecting garbage

Counts

6 → 17

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 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) (.f64 (.f64 (/.f64 #s(literal 1 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 M D) (.f64 #s(literal 2 binary64) d))

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

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	M	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms	d	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
3.0ms	d	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
3.0ms	d	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))

simplify96.0ms (0.7%)

Memory

22.0MiB live, 162.3MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	223
1	165	201
2	612	201
3	3951	201
0	8151	194

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

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

rewrite202.0ms (1.4%)

Memory

-18.3MiB live, 264.7MiB allocated; 86ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	50
0	34	48
1	100	48
2	521	48
3	6486	48
0	8448	47

Stop Event

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

Counts

6 → 325

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 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) (.f64 (.f64 (/.f64 #s(literal 1 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 M D) (.f64 #s(literal 2 binary64) d))

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

eval49.0ms (0.3%)

Memory: 11.7MiB live, 108.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 14 643 to 1 594 computations (89.1% saved)

prune23.0ms (0.2%)

Memory

13.6MiB live, 60.8MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	316	20	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	317	20	337

Accuracy

89.7%

Counts

337 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.9%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 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))))
	67.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	50.2%	(.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 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l) #s(literal 1 binary64)))
▶	67.9%	(.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 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	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 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	66.4%	(.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 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l))))
	63.7%	(.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 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	58.7%	(.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 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d))))
	52.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 d d)) D) (.f64 (/.f64 (.f64 (.f64 M M) h) l) D)))))
▶	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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) #s(literal 1 binary64))))
	23.6%	(.f64 (.f64 (pow.f64 (/.f64 d 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 D D) #s(literal -1/8 binary64)) M) (.f64 (/.f64 h (.f64 (*.f64 d d) l)) M))))
▶	38.8%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	33.3%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.9%	(.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))))
	66.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	67.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	64.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (log.f64 (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))))
	35.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	43.7%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	64.7%	(.f64 (.f64 (exp.f64 (log.f64 (sqrt.f64 (/.f64 d 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))))

Compiler

Compiled 1 538 to 1 040 computations (32.4% saved)

simplify118.0ms (0.8%)

Memory

-14.4MiB live, 168.9MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	680
0	124	665
1	241	629
2	801	622
3	5339	622
0	8248	611

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

localize252.0ms (1.8%)

Memory

7.2MiB live, 342.2MiB allocated; 103ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.697821402515353	(/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d))
accuracy	3.318077537060561	(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l) #s(literal 1 binary64))
accuracy	4.654213073320704	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.691016421412059	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	0.7734313074906174	(.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))))
accuracy	2.665207529620455	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	4.728894979749845	(.f64 (.f64 (/.f64 #s(literal 1 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	6.691016421412059	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	3.89695368245868	(.f64 (.f64 M M) h)
accuracy	4.654213073320704	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	4.848721122872111	(/.f64 (.f64 (.f64 M M) h) l)
accuracy	6.691016421412059	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	0.7734313074906174	(.f64 (.f64 (pow.f64 (/.f64 d 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))) #s(literal 1 binary64)))
accuracy	4.654213073320704	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.691016421412059	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	12.644535355047188	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	3.8221996452538303	(*.f64 M (/.f64 h l))
accuracy	4.237604868224195	(.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l)))
accuracy	4.654213073320704	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	6.691016421412059	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

66.0ms	141×	0	invalid
60.0ms	115×	0	valid

Compiler

Compiled 723 to 62 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 35.0ms (38.8% of total)

ival-div: 29.0ms (32.2% of total)

ival-pow: 10.0ms (11.1% of total)

ival-pow2: 5.0ms (5.5% of total)

ival-sqrt: 3.0ms (3.3% of total)

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

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

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

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series134.0ms (0.9%)

Memory

33.8MiB live, 165.1MiB allocated; 43ms collecting garbage

Counts

18 → 54

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
44.0ms	d	@	inf	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (/ (* (* D D) -1/8) d) (/ (/ (* (* M M) h) l) d)) 1) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ (/ D d) 2) (* M (/ h l))) (* M (/ h l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* (* M M) h) l) (* (* M M) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ h l)) 1))
18.0ms	l	@	0	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (/ (* (* D D) -1/8) d) (/ (/ (* (* M M) h) l) d)) 1) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ (/ D d) 2) (* M (/ h l))) (* M (/ h l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* (* M M) h) l) (* (* M M) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ h l)) 1))
9.0ms	M	@	-inf	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (/ (* (* D D) -1/8) d) (/ (/ (* (* M M) h) l) d)) 1) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ (/ D d) 2) (* M (/ h l))) (* M (/ h l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* (* M M) h) l) (* (* M M) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ h l)) 1))
6.0ms	d	@	-inf	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (/ (* (* D D) -1/8) d) (/ (/ (* (* M M) h) l) d)) 1) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ (/ D d) 2) (* M (/ h l))) (* M (/ h l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* (* M M) h) l) (* (* M M) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ h l)) 1))
6.0ms	d	@	0	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (/ (* (* D D) -1/8) d) (/ (/ (* (* M M) h) l) d)) 1) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ (/ D d) 2) (* M (/ h l))) (* M (/ h l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* (* M M) h) l) (* (* M M) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (/ h l)) 1))

simplify118.0ms (0.8%)

Memory

-18.6MiB live, 167.3MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	966
1	630	911
2	2475	893
0	8100	866

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

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

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

rewrite239.0ms (1.7%)

Memory

25.0MiB live, 311.0MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	230
0	114	228
1	315	210
2	1870	208
0	9172	204

Stop Event

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

Counts

18 → 357

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 (.f64 (/.f64 M d) #s(literal 1/2 binary64)) (/.f64 D #s(literal 2 binary64))) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (*.f64 (/.f64 h l) M))
(.f64 (.f64 (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 M d)) (*.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 1/2 binary64)) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 h l)) (.f64 (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 (/.f64 h l) M) #s(literal 1/2 binary64)) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (*.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64)) (/.f64 M d))
(.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))
(.f64 (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)))
(.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (.f64 (/.f64 h l) (.f64 (*.f64 (/.f64 M d) #s(literal 1/2 binary64)) (/.f64 D #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (/.f64 M d) #s(literal 1/2 binary64)) (/.f64 D #s(literal 2 binary64))) (.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 h l)))
(.f64 (/.f64 M d) (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (*.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64)))
(.f64 (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (/.f64 M d) (.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))
(.f64 (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 h l)) (.f64 (*.f64 (/.f64 M d) #s(literal 1/2 binary64)) (/.f64 D #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 h l) M) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 M d) #s(literal 1/2 binary64)) (/.f64 D #s(literal 2 binary64)))))
(.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (/.f64 h l) M) #s(literal 1/2 binary64)) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) M) (.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 h l))) d)
(/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (.f64 (*.f64 (/.f64 M d) #s(literal 1/2 binary64)) (/.f64 D #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (neg.f64 D) d) (.f64 (.f64 (.f64 (/.f64 h l) M) #s(literal 1/2 binary64)) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 D d) (.f64 (.f64 (.f64 (/.f64 h l) M) #s(literal 1/2 binary64)) (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (.f64 D (.f64 (.f64 (.f64 (/.f64 h l) M) #s(literal 1/2 binary64)) (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (neg.f64 h) (.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 l))
(/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (*.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64)) (neg.f64 M)) (neg.f64 d))
(/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (*.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64)) M) d)
(/.f64 (.f64 (.f64 (.f64 (/.f64 M d) #s(literal 1/2 binary64)) (/.f64 D #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 D d) M) (/.f64 h l))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 h l)) (.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) M)) d)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)) l)
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)) (neg.f64 l))
(/.f64 (.f64 (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) M) (.f64 (.f64 (/.f64 D d) M) (/.f64 h l))) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) M)) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)
#s(literal 1/2 binary64)
(*.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 D) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 D)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) D)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 2 binary64))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))))
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eval98.0ms (0.7%)

Memory: -13.7MiB live, 180.4MiB allocated; 43ms collecting garbage
Compiler: Compiled 22 920 to 1 945 computations (91.5% saved)

prune90.0ms (0.6%)

Memory

7.7MiB live, 100.2MiB allocated; 7ms collecting garbage

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	496	27	523
Fresh	14	1	15
Picked	5	0	5
Done	0	0	0
Total	515	28	543

Accuracy

95.9%

Counts

543 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.2%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h)))) (sqrt.f64 (neg.f64 l)))
	17.5%	(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 l)))
▶	71.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	38.7%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
	43.0%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	66.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	66.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	66.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (*.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64)) M) d)))
	67.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) M)) (.f64 #s(literal 2 binary64) d))))
	68.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 D d) (.f64 h M)) (.f64 #s(literal 2 binary64) l)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	70.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) h) l) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	52.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 d d)) D) (.f64 (/.f64 (.f64 (.f64 M M) h) l) D)))))
	53.3%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (.f64 (/.f64 h l) (.f64 M M)) d) #s(literal 1 binary64))))
	27.1%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) #s(literal 1 binary64))))
	28.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 (/.f64 h l) M)) d) d) d)))
	39.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	22.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	67.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	53.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (.f64 (.f64 M M) h) l) d) #s(literal 1 binary64))))
	9.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	23.7%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (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))) #s(literal 1 binary64)))
	33.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.8%	(.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	44.3%	#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 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	14.2%	#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 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	20.3%	#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 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	28.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 264 to 1 586 computations (29.9% saved)

simplify118.0ms (0.8%)

Memory

-31.3MiB live, 258.8MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	564
0	115	543
1	224	535
2	653	531
3	4108	531
0	8271	531

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (1.7%)

Memory

4.9MiB live, 410.2MiB allocated; 111ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.691575385908643	(*.f64 M (/.f64 h l))
accuracy	7.496340732965105	(.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l)))
accuracy	11.247283492483628	(sqrt.f64 (/.f64 d l))
accuracy	14.530829124688507	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	4.1913219873923415	(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))
accuracy	7.332560863220273	(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
accuracy	11.247283492483628	(sqrt.f64 (/.f64 d l))
accuracy	14.530829124688507	(sqrt.f64 (/.f64 d h))
accuracy	11.351883295310737	(.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)))
accuracy	12.873000420079533	(.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)))))
accuracy	17.84814877389945	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	43.57425449131697	#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) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
accuracy	0.21875	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.7442111519686391	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	13.952142752891877	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	44.846854862848495	#s(approx (* (* (pow (/ 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	2.7703977156415474	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
accuracy	4.1913219873923415	(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))
accuracy	7.332560863220273	(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
accuracy	14.331274518868849	(sqrt.f64 (*.f64 h l))

Samples

197.0ms

256×

valid

Compiler

Compiled 563 to 67 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-pow: 75.0ms (46.2% of total)

ival-mult: 40.0ms (24.7% of total)

ival-div: 28.0ms (17.3% of total)

ival-sqrt: 8.0ms (4.9% of total)

ival-pow2: 5.0ms (3.1% of total)

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

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

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

exact: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

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

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

series134.0ms (0.9%)

Memory

-2.8MiB live, 229.9MiB allocated; 21ms collecting garbage

Counts

25 → 69

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	l	@	-inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 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))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) (* (/ (* D D) d) -1/8)) (sqrt (/ h (pow l 3)))) (* (* M M) (* (/ (* D D) d) -1/8)) (* M M) (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (sqrt (* h l)) (* M (/ (/ D d) 2)) (sqrt (/ h (pow l 3))) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ (/ D d) 2) (* M (/ h l))) (* M (/ h l)))
12.0ms	d	@	inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 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))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) (* (/ (* D D) d) -1/8)) (sqrt (/ h (pow l 3)))) (* (* M M) (* (/ (* D D) d) -1/8)) (* M M) (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (sqrt (* h l)) (* M (/ (/ D d) 2)) (sqrt (/ h (pow l 3))) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ (/ D d) 2) (* M (/ h l))) (* M (/ h l)))
10.0ms	d	@	-inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 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))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) (* (/ (* D D) d) -1/8)) (sqrt (/ h (pow l 3)))) (* (* M M) (* (/ (* D D) d) -1/8)) (* M M) (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (sqrt (* h l)) (* M (/ (/ D d) 2)) (sqrt (/ h (pow l 3))) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ (/ D d) 2) (* M (/ h l))) (* M (/ h l)))
9.0ms	h	@	-inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 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))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) (* (/ (* D D) d) -1/8)) (sqrt (/ h (pow l 3)))) (* (* M M) (* (/ (* D D) d) -1/8)) (* M M) (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (sqrt (* h l)) (* M (/ (/ D d) 2)) (sqrt (/ h (pow l 3))) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ (/ D d) 2) (* M (/ h l))) (* M (/ h l)))
9.0ms	l	@	inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 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))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) (* (/ (* D D) d) -1/8)) (sqrt (/ h (pow l 3)))) (* (* M M) (* (/ (* D D) d) -1/8)) (* M M) (* (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (sqrt (* h l)) (* M (/ (/ D d) 2)) (sqrt (/ h (pow l 3))) (sqrt (/ d h)) (sqrt (/ d l)) (* (/ (/ D d) 2) (* M (/ h l))) (* M (/ h l)))

simplify139.0ms (1%)

Memory

-0.8MiB live, 176.9MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	1388
1	929	1327
2	3820	1316
0	8862	1283

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

Calls

Call 1

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

rewrite229.0ms (1.6%)

Memory

32.5MiB live, 258.9MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	317
0	108	310
1	314	295
2	1643	285
0	8482	285

Stop Event

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

Counts

25 → 981

Calls

Call 1

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

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

eval289.0ms (2%)

Memory: 20.5MiB live, 453.9MiB allocated; 100ms collecting garbage
Compiler: Compiled 53 256 to 4 558 computations (91.4% saved)

prune72.0ms (0.5%)

Memory

-13.9MiB live, 176.0MiB allocated; 18ms collecting garbage

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	1 268	34	1 302
Fresh	17	6	23
Picked	4	1	5
Done	0	0	0
Total	1 289	41	1 330

Accuracy

97.4%

Counts

1 330 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.2%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h)))) (sqrt.f64 (neg.f64 l)))
	17.5%	(/.f64 (.f64 (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 l)))
	72.0%	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64)) (neg.f64 (/.f64 M d)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
▶	72.8%	(.f64 (fma.f64 (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (/.f64 M d) (.f64 (/.f64 (.f64 (/.f64 h l) M) d) (/.f64 D #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	72.4%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 h l) M) d) (/.f64 D #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	70.0%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 D M)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	57.1%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	60.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 D D) (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) (/.f64 M (.f64 #s(literal 2 binary64) d))))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
▶	55.5%	(.f64 (fma.f64 #s(approx ( -1/2 (pow (* M (/ (/ D d) 2)) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	43.0%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	66.8%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64)) (neg.f64 (/.f64 M d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	68.3%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (.f64 (/.f64 h l) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	67.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (/.f64 M d) (.f64 (/.f64 (.f64 (/.f64 h l) M) d) (/.f64 D #s(literal 2 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	65.5%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 D M)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	53.9%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (.f64 D M)) (.f64 d (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	65.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M #s(literal 2 binary64)) (.f64 (/.f64 D d) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	51.8%	(.f64 (.f64 (fma.f64 #s(approx (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	70.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (/.f64 D d) M) h) (.f64 #s(literal 2 binary64) l)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	66.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 D M) h) (.f64 (.f64 #s(literal 2 binary64) d) l)) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	67.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	18.1%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	53.5%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (*.f64 M M) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	57.1%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	22.2%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	38.8%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	9.3%	(.f64 #s(approx ( (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	41.0%	#s(approx (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (/.f64 (fabs.f64 d) d) (/.f64 (.f64 M M) d)) (.f64 (/.f64 (/.f64 (fabs.f64 d) D) D) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D)))
	44.3%	#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 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (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 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
	24.9%	#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 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 l)) (/.f64 (sqrt.f64 h) (fabs.f64 l))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l))))
	3.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
▶	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
▶	14.2%	#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 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	23.9%	#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 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
	25.5%	#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 (pow.f64 l #s(literal -1 binary64)) h)) d))
✓	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	28.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))

Compiler

Compiled 3 224 to 2 258 computations (30% saved)

simplify120.0ms (0.8%)

Memory

24.4MiB live, 158.3MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	640
0	135	636
1	279	615
2	865	609
3	4664	609
0	8397	605

Stop Event

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

Calls

Call 1

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

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

localize272.0ms (1.9%)

Memory

-48.4MiB live, 342.5MiB allocated; 76ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.629069775914791	(.f64 (.f64 (*.f64 M M) D) (/.f64 D d))
accuracy	13.041194744545834	(.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
accuracy	17.84814877389945	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	48.63034017922307	#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 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
accuracy	4.190807280258549	(*.f64 (/.f64 D d) M)
accuracy	10.619002538689749	(.f64 (.f64 (/.f64 D d) M) (/.f64 h l))
accuracy	11.247283492483628	(sqrt.f64 (/.f64 d l))
accuracy	14.530829124688507	(sqrt.f64 (/.f64 d h))
accuracy	6.161785896498579	(/.f64 (*.f64 M M) d)
accuracy	7.332560863220273	(fma.f64 #s(approx (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (/.f64 h l) #s(literal 1 binary64))
accuracy	14.273579961428513	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))
accuracy	14.331274518868849	(sqrt.f64 (*.f64 h l))
accuracy	0.21875	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.265625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	14.331274518868849	(sqrt.f64 (*.f64 l h))
accuracy	44.846854862848495	#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))
accuracy	4.815023541739103	(/.f64 (*.f64 (/.f64 h l) M) d)
accuracy	6.489567751925519	(.f64 (/.f64 (.f64 (/.f64 h l) M) d) (/.f64 D #s(literal 2 binary64)))
accuracy	6.691575385908643	(*.f64 (/.f64 h l) M)
accuracy	14.331274518868849	(sqrt.f64 (*.f64 h l))

Samples

187.0ms

256×

valid

Compiler

Compiled 591 to 82 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult: 67.0ms (47.4% of total)

ival-div: 32.0ms (22.6% of total)

ival-pow: 14.0ms (9.9% of total)

ival-sqrt: 11.0ms (7.8% of total)

ival-pow2: 8.0ms (5.7% of total)

ival-add: 4.0ms (2.8% of total)

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

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

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

exact: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

series122.0ms (0.9%)

Memory

31.3MiB live, 182.3MiB allocated; 11ms collecting garbage

Counts

30 → 70

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
12.0ms	h	@	0	((+ (* (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2)))) (* (+ (* (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (/ (fabs d) (sqrt (* h l)))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (* (* -1/8 (* D D)) (/ (/ (* M M) d) d)) (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (* (* (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* (* M M) D) (/ D d)) 1/8) (sqrt (/ h (pow l 3)))) (* (* (* (* M M) D) (/ D d)) 1/8) (* (* (* M M) D) (/ D d)) (sqrt (* h l)) (* (/ h l) M) (* (/ (* (/ h l) M) d) (/ D 2)) (/ (* (/ h l) M) d) (/ (* M M) d) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ D d) M) (/ h l)) (* (/ D d) M) (sqrt (/ h (pow l 3))))
9.0ms	h	@	-inf	((+ (* (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2)))) (* (+ (* (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (/ (fabs d) (sqrt (* h l)))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (* (* -1/8 (* D D)) (/ (/ (* M M) d) d)) (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (* (* (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* (* M M) D) (/ D d)) 1/8) (sqrt (/ h (pow l 3)))) (* (* (* (* M M) D) (/ D d)) 1/8) (* (* (* M M) D) (/ D d)) (sqrt (* h l)) (* (/ h l) M) (* (/ (* (/ h l) M) d) (/ D 2)) (/ (* (/ h l) M) d) (/ (* M M) d) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ D d) M) (/ h l)) (* (/ D d) M) (sqrt (/ h (pow l 3))))
9.0ms	d	@	-inf	((+ (* (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2)))) (* (+ (* (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (/ (fabs d) (sqrt (* h l)))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (* (* -1/8 (* D D)) (/ (/ (* M M) d) d)) (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (* (* (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* (* M M) D) (/ D d)) 1/8) (sqrt (/ h (pow l 3)))) (* (* (* (* M M) D) (/ D d)) 1/8) (* (* (* M M) D) (/ D d)) (sqrt (* h l)) (* (/ h l) M) (* (/ (* (/ h l) M) d) (/ D 2)) (/ (* (/ h l) M) d) (/ (* M M) d) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ D d) M) (/ h l)) (* (/ D d) M) (sqrt (/ h (pow l 3))))
9.0ms	M	@	-inf	((+ (* (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2)))) (* (+ (* (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (/ (fabs d) (sqrt (* h l)))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (* (* -1/8 (* D D)) (/ (/ (* M M) d) d)) (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (* (* (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* (* M M) D) (/ D d)) 1/8) (sqrt (/ h (pow l 3)))) (* (* (* (* M M) D) (/ D d)) 1/8) (* (* (* M M) D) (/ D d)) (sqrt (* h l)) (* (/ h l) M) (* (/ (* (/ h l) M) d) (/ D 2)) (/ (* (/ h l) M) d) (/ (* M M) d) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ D d) M) (/ h l)) (* (/ D d) M) (sqrt (/ h (pow l 3))))
8.0ms	d	@	0	((+ (* (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2)))) (* (+ (* (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (/ (fabs d) (sqrt (* h l)))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* h l)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (* (* -1/8 (* D D)) (/ (/ (* M M) d) d)) (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (* (* (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* (* (* M M) D) (/ D d)) 1/8) (sqrt (/ h (pow l 3)))) (* (* (* (* M M) D) (/ D d)) 1/8) (* (* (* M M) D) (/ D d)) (sqrt (* h l)) (* (/ h l) M) (* (/ (* (/ h l) M) d) (/ D 2)) (/ (* (/ h l) M) d) (/ (* M M) d) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ D d) M) (/ h l)) (* (/ D d) M) (sqrt (/ h (pow l 3))))

simplify117.0ms (0.8%)

Memory

-18.7MiB live, 119.1MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	1390
1	952	1336
2	3915	1327
0	8796	1294

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 70

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

rewrite213.0ms (1.5%)

Memory

-10.3MiB live, 186.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	476
0	135	472
1	412	444
2	2390	423
0	8401	421

Stop Event

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

Counts

30 → 853

Calls

Call 1

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

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

eval153.0ms (1.1%)

Memory: 43.8MiB live, 226.0MiB allocated; 33ms collecting garbage
Compiler: Compiled 45 174 to 3 774 computations (91.6% saved)

prune165.0ms (1.1%)

Memory

-7.9MiB live, 185.0MiB allocated; 20ms collecting garbage

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	873	24	897
Fresh	22	13	35
Picked	4	1	5
Done	0	1	1
Total	899	39	938

Accuracy

97.7%

Counts

938 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.4%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 (/.f64 (.f64 (/.f64 h l) M) d) D)) (.f64 D #s(literal 1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
	72.0%	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64)) (neg.f64 (/.f64 M d)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	72.4%	(.f64 (fma.f64 (/.f64 M d) (.f64 (/.f64 (.f64 (/.f64 (.f64 (/.f64 h l) M) d) D) #s(literal -2 binary64)) (.f64 D #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	40.2%	(.f64 (fma.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 (/.f64 (.f64 (/.f64 h l) M) d) D)) (.f64 D #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	72.1%	(.f64 (fma.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (.f64 (/.f64 (.f64 (/.f64 h l) M) d) D) d)) (.f64 D #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	61.9%	(.f64 (fma.f64 (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (neg.f64 M) (.f64 (.f64 (/.f64 h l) M) D)) (.f64 d (.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	74.4%	(.f64 (fma.f64 (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (/.f64 M d) (.f64 (/.f64 (.f64 h M) (.f64 l d)) (/.f64 D #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	58.9%	(.f64 (fma.f64 (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 D (.f64 d d))) (/.f64 (.f64 (.f64 M M) h) l))) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	70.0%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 D M)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	63.0%	(.f64 (fma.f64 #s(approx ( -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) M) (/.f64 M d)) d)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	43.0%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	66.1%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 d l)) (*.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64)) (neg.f64 (/.f64 M d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	33.3%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) (/.f64 h l)) (.f64 #s(literal 1/2 binary64) D)) #s(literal 4 binary64)) (neg.f64 (/.f64 M d)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
	66.6%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) h) (.f64 D #s(literal 1/8 binary64))) l) (neg.f64 (/.f64 M d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	67.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 (/.f64 (.f64 (/.f64 h l) M) d) D)) (.f64 D #s(literal 1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	67.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (neg.f64 M) d) (.f64 (/.f64 (.f64 (/.f64 h l) M) d) D)) (.f64 D #s(literal 1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	64.1%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 (/.f64 h l) (.f64 D #s(literal 1/8 binary64)))) (neg.f64 (/.f64 M d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	51.8%	(.f64 (.f64 (fma.f64 #s(approx (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	18.1%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	28.7%	(.f64 #s(approx (+ ( (* (/ D 2) 1/2) (neg (* (/ M d) (* (/ (* (/ h l) M) d) (/ D 2))))) 1) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 h l))))
	22.2%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h (.f64 d d)) (/.f64 (.f64 M M) l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
	38.8%	(.f64 #s(approx ( (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	9.3%	(.f64 #s(approx ( (+ (* (/ (* (* (* (/ D d) M) (/ h l)) (* 1/2 D)) 4) (neg (/ M d))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	44.3%	#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 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	19.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	24.9%	#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 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 l)) (/.f64 (sqrt.f64 h) (fabs.f64 l))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l))))
	3.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	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 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	15.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
	23.9%	#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 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
	25.5%	#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 (pow.f64 l #s(literal -1 binary64)) h)) d))
✓	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	28.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	31.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))

Compiler

Compiled 5 659 to 1 621 computations (71.4% saved)

regimes277.0ms (1.9%)

Memory

-41.1MiB live, 367.9MiB allocated; 66ms collecting garbage

Counts

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

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

Calls

7 calls:

81.0ms	l
39.0ms	h
36.0ms	(.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))))
30.0ms	D
29.0ms	M

Results

Accuracy	Segments	Branch
77.7%	3	`(*.f64 M D)`
85.0%	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))))`
83.1%	4	`d`
80.2%	2	`h`
79.8%	2	`l`
74.4%	1	`M`
77.5%	2	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes52.0ms (0.4%)

Memory

-10.2MiB live, 33.2MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
85.0%	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 35 to 22 computations (37.1% saved)

regimes11.0ms (0.1%)

Memory

30.0MiB live, 29.9MiB allocated; 0ms collecting garbage

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

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

Calls

1 calls:

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
86.5%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes27.0ms (0.2%)

Memory

-15.7MiB live, 30.9MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

25.0ms

(*.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
83.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes10.0ms (0.1%)

Memory

22.3MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

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
82.9%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes13.0ms (0.1%)

Memory

-37.4MiB live, 19.2MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
82.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes9.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
82.2%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes77.0ms (0.5%)

Memory

2.3MiB live, 47.1MiB allocated; 4ms collecting garbage

Counts

28 → 4

Calls

Call 1

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

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

Calls

4 calls:

52.0ms	d
8.0ms	l
8.0ms	h
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
74.9%	2	`l`
70.0%	1	`d`
71.9%	2	`h`
81.5%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes9.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
80.7%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes74.0ms (0.5%)

Memory

13.3MiB live, 100.0MiB allocated; 16ms collecting garbage

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

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

Calls

7 calls:

27.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
12.0ms	l
7.0ms	D
7.0ms	M
6.0ms	d

Results

Accuracy	Segments	Branch
65.5%	4	`d`
63.0%	4	`h`
67.1%	3	`l`
62.3%	2	`M`
60.0%	2	`(*.f64 M D)`
57.1%	1	`D`
73.7%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes12.0ms (0.1%)

Memory

-40.4MiB live, 14.4MiB allocated; 10ms collecting garbage

Counts

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

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

Calls

1 calls:

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
72.9%	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 35 to 22 computations (37.1% saved)

regimes7.0ms (0%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

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

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

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
70.3%	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)

regimes16.0ms (0.1%)

Memory

-19.1MiB live, 26.5MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

2 calls:

6.0ms

5.0ms

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

Results

Accuracy	Segments	Branch
60.7%	5	`l`
66.0%	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 36 to 27 computations (25% saved)

regimes17.0ms (0.1%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 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
50.0%	2	`M`
59.3%	4	`d`
65.0%	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 37 to 32 computations (13.5% saved)

regimes62.0ms (0.4%)

Memory

-18.2MiB live, 73.2MiB allocated; 5ms collecting garbage

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

23.0ms	l
18.0ms	(*.f64 M D)
5.0ms	D
5.0ms	d
5.0ms	h

Results

Accuracy	Segments	Branch
49.1%	2	`l`
49.0%	2	`d`
43.0%	1	`D`
48.2%	2	`h`
45.2%	2	`(*.f64 M D)`
53.4%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 42 to 48 computations (-14.3% saved)

regimes4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
53.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes10.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Calls

3 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
49.1%	2	`l`
44.7%	2	`M`
51.5%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes12.0ms (0.1%)

Memory

-40.7MiB live, 16.4MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

3 calls:

6.0ms

3.0ms

2.0ms

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

Results

Accuracy	Segments	Branch
51.4%	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))))`
43.0%	1	`d`
44.8%	2	`l`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes5.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

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))))

Results

Accuracy	Segments	Branch
43.0%	1	`h`
47.7%	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)

regimes7.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Calls

3 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))))

2.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
44.8%	2	`l`
31.7%	2	`(*.f64 M D)`
28.5%	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 39 to 33 computations (15.4% saved)

regimes15.0ms (0.1%)

Memory

-15.1MiB live, 30.5MiB allocated; 2ms collecting garbage

Counts

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

Calls

7 calls:

3.0ms	D
2.0ms	l
2.0ms	d
2.0ms	M
2.0ms	h

Results

Accuracy	Segments	Branch
25.0%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
25.0%	1	`(*.f64 M D)`
25.0%	1	`h`
25.0%	1	`d`
25.0%	1	`D`
25.0%	1	`M`
25.0%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes8.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
25.0%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
25.0%	1	`(*.f64 M D)`
25.0%	1	`d`
25.0%	1	`M`
25.0%	1	`D`
25.0%	1	`h`
25.0%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch3.0ms (0%)

Memory

-42.5MiB live, 3.6MiB allocated; 2ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.595551584686237e+256	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.595551584686237e+256	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.595551584686237e+256	+inf
0.0ms	0.0	6.697616533072313e-294
0.0ms	-1.117838192001635e-206	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.595551584686237e+256	+inf
0.0ms	0.0	6.697616533072313e-294

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.595551584686237e+256	+inf
0.0ms	0.0	6.697616533072313e-294

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.595551584686237e+256	+inf
0.0ms	0.0	6.697616533072313e-294

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.595551584686237e+256	+inf
0.0ms	0.0	6.697616533072313e-294

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.595551584686237e+256	+inf
0.0ms	0.0	6.697616533072313e-294

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.595551584686237e+256	+inf
0.0ms	0.0	6.697616533072313e-294

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.595551584686237e+256	+inf
0.0ms	0.0	6.697616533072313e-294

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.595551584686237e+256	+inf
0.0ms	0.0	6.697616533072313e-294

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.595551584686237e+256	+inf
0.0ms	-3.5930969735771626e-70	-1.117838192001635e-206

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.595551584686237e+256	+inf
0.0ms	-9.240630051736068e+69	-2.0601435891233052e+60

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.595551584686237e+256	+inf
0.0ms	-3.5930969735771626e-70	-1.117838192001635e-206

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.595551584686237e+256	+inf
0.0ms	-1.117838192001635e-206	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.595551584686237e+256	+inf
0.0ms	0.0	6.697616533072313e-294

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch58.0ms (0.4%)

Memory

-28.3MiB live, 72.9MiB allocated; 14ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	5.4175637635040655e-186	1.4104653243765801e-179

Samples

27.0ms	144×	0	valid
15.0ms	105×	0	invalid

Compiler

Compiled 848 to 570 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-pow: 13.0ms (38.1% of total)

ival-div: 8.0ms (23.5% of total)

ival-mult: 8.0ms (23.5% of total)

ival-pow2: 2.0ms (5.9% of total)

ival-sub: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.417571719561723e+123	2.1845642218327855e+125
0.0ms	1.3543990212829657e-168	9.616346932464947e-159
0.0ms	-1.257543278616783e+23	-5.560860492013388e-9

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.257543278616783e+23	-5.560860492013388e-9

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch32.0ms (0.2%)

Memory

1.3MiB live, 44.4MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	5.4175637635040655e-186	1.4104653243765801e-179

Samples

12.0ms	80×	0	valid
8.0ms	55×	0	invalid

Compiler

Compiled 839 to 561 computations (33.1% saved)

Precisions

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

ival-div: 5.0ms (32.4% of total)

ival-mult: 4.0ms (25.9% of total)

ival-pow: 4.0ms (25.9% of total)

ival-sub: 1.0ms (6.5% of total)

ival-pow2: 1.0ms (6.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify83.0ms (0.6%)

Memory

14.6MiB live, 106.2MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	3851
1	361	3849
2	687	3837
3	3266	3837
4	7572	3837

Stop Event

1×	node limit

Calls

Call 1

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

derivations1.5s (10.7%)

Memory

-3.8MiB live, 1 099.0MiB allocated; 89ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	223
1	165	201
2	612	201
3	3951	201
0	8151	194
0	205	966
1	630	911
2	2475	893
0	8100	866
0	84	476
0	135	472
1	412	444
2	2390	423
0	8401	421
0	68	317
0	108	310
1	314	295
2	1643	285
0	8482	285
0	283	1388
1	929	1327
2	3820	1316
0	8862	1283
0	20	50
0	34	48
1	100	48
2	521	48
3	6486	48
0	8448	47
0	288	1390
1	952	1336
2	3915	1327
0	8796	1294
0	65	230
0	114	228
1	315	210
2	1870	208
0	9172	204

Stop Event

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

Compiler

Compiled 4 024 to 258 computations (93.6% saved)

preprocess188.0ms (1.3%)

Memory: 35.8MiB live, 414.7MiB allocated; 39ms collecting garbage
Remove: (abs D)
Compiler: Compiled 12 838 to 2 220 computations (82.7% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage