Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze1.0s (6.4%)

Memory

-140.1MiB live, 965.9MiB allocated; 1.3s 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)

sample5.5s (34.4%)

Memory

101.8MiB live, 7 028.7MiB allocated; 1.4s collecting garbage

Samples

2.3s	13 062×	0	invalid
1.7s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-div: 1.0s (34.7% of total)

ival-mult: 854.0ms (28.5% of total)

ival-pow: 642.0ms (21.4% of total)

ival-pow2: 272.0ms (9.1% of total)

ival-sub: 134.0ms (4.5% of total)

exact: 23.0ms (0.8% of total)

ival-true: 17.0ms (0.6% of total)

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

adjust: 7.0ms (0.2% of total)

Bogosity

explain362.0ms (2.3%)

Memory

55.9MiB live, 658.3MiB allocated; 90ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
56	-	2	(-2.3793144373977453e-200 -1.3285828962601032e+115 -9.35455658985824e+113 2.111936428480386e-112 1.3502460070962048e-269)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
53	-	3	(-2.3793144373977453e-200 -1.3285828962601032e+115 -9.35455658985824e+113 2.111936428480386e-112 1.3502460070962048e-269)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
41	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
20	-	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))))`
18	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	29	0
↳	`(/.f64 d l)`	overflow	29
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	29	0
↳	`(/.f64 d h)`	underflow	29
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	25	0
↳	`(/.f64 d h)`	overflow	25
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	21	0
↳	`(/.f64 d l)`	underflow	21
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	13	0
↳	`(/.f64 d h)`	underflow	29
↳	`(/.f64 d l)`	underflow	21
↳	`(*.f64 (pow.f64 (/.f64 d 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	19
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	74
↳	`(.f64 (/.f64 #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	74
↳	`(/.f64 h l)`	overflow	31
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	76
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	76
↳	`(*.f64 M D)`	overflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	47
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	12	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	5	0
↳	`(*.f64 M D)`	overflow	32
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	4	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	88
↳	`(.f64 (/.f64 #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	88
↳	`(*.f64 M D)`	underflow	30
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	45
↳	`(/.f64 h l)`	overflow	31
`*.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**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	74
↳	`(.f64 (/.f64 #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	74
↳	`(*.f64 M D)`	overflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	47
↳	`(/.f64 h l)`	underflow	27
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	3	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	30

Confusion

	Predicted +	Predicted -
+	68	8
-	27	153

Precision

0.7157894736842105

Recall

0.8947368421052632

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	68	0	8
-	27	0	153

Precision?

0.7157894736842105

Recall?

0.8947368421052632

Freqs

test

number	freq
0	161
1	54
2	28
3	12
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

117.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

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

ival-div: 22.0ms (24.8% of total)

ival-mult: 22.0ms (24.8% of total)

ival-pow: 22.0ms (24.8% of total)

ival-pow2: 19.0ms (21.4% of total)

ival-sub: 3.0ms (3.4% of total)

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

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

preprocess221.0ms (1.4%)

Memory

-44.2MiB live, 194.1MiB allocated; 144ms 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)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.9%	(.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 #s(literal 1 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

▶

70.9%

(*.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 #s(literal 1 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)

simplify160.0ms (1%)

Memory

-4.2MiB live, 137.6MiB allocated; 36ms 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)

localize104.0ms (0.7%)

Memory

-25.2MiB live, 164.5MiB allocated; 30ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	4.758065602467479	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	9.646861598221522	(.f64 (.f64 (/.f64 #s(literal 1 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	12.18167774439459	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	13.034036024642692	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

65.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 18.0ms (39.5% of total)

ival-pow: 10.0ms (21.9% of total)

ival-mult: 9.0ms (19.7% of total)

ival-pow2: 7.0ms (15.4% of total)

ival-sub: 1.0ms (2.2% 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)

series67.0ms (0.4%)

Memory

16.5MiB live, 112.4MiB allocated; 15ms collecting garbage

Counts

6 → 32

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

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

Calls

15 calls:

Time	Variable		Point	Expression
18.0ms	h	@	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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
6.0ms	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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	0	((/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	l	@	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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	-inf	((/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify198.0ms (1.2%)

Memory

-2.9MiB live, 282.5MiB allocated; 49ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	635
1	444	594
2	1805	575
3	6314	574
0	8627	558

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite149.0ms (0.9%)

Memory

23.6MiB live, 256.5MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
0	38	68
1	110	67
2	610	67
3	7910	67
0	8018	65

Stop Event

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

Counts

6 → 366

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

eval132.0ms (0.8%)

Memory: 7.2MiB live, 110.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 17 710 to 1 295 computations (92.7% saved)

prune49.0ms (0.3%)

Memory

0.1MiB live, 91.3MiB allocated; 7ms collecting garbage

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	357	32	389
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	358	32	390

Accuracy

90.9%

Counts

390 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.7%	(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 (/.f64 h l) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	37.5%	(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	21.8%	(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	33.8%	(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	31.7%	(-.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))))
	44.8%	(.f64 (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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	53.2%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d l))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
▶	53.3%	(.f64 (.f64 (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)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	47.4%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	58.3%	(.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 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 d d))))
	63.8%	(.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 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) (.f64 #s(literal -2 binary64) d))))
	70.8%	(.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) #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)))))
	63.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (.f64 (/.f64 D d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
▶	68.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	59.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 M M)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)))))
	57.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)))))
	52.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 h (/.f64 (.f64 D D) d))) (*.f64 M M) #s(literal 1 binary64))))
	20.6%	(.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 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))))
	47.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	34.0%	(.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))))
	39.1%	(.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))))
▶	70.9%	(.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	42.4%	(.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))))
	43.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (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)))
	23.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d))
▶	21.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
▶	27.0%	#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))
	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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 680 to 1 788 computations (33.3% saved)

simplify114.0ms (0.7%)

Memory

-10.9MiB live, 171.3MiB allocated; 29ms 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 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	4	(.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)))
cost-diff	0	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d))
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d))
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
cost-diff	0	(*.f64 (/.f64 h l) #s(literal -1/2 binary64))
cost-diff	0	(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))
cost-diff	0	(.f64 (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)) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 (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)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
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	(.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))))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	691
0	146	660
1	262	660
2	749	660
3	4545	658
0	8272	652

Stop Event

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

Calls

Call 1

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

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

localize307.0ms (1.9%)

Memory

25.4MiB live, 456.0MiB allocated; 89ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.203411523754846	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
accuracy	11.115299036505258	(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)))
accuracy	12.18167774439459	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	13.034036024642692	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	13.809592801050007	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d))
accuracy	17.34230146627296	(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d))
accuracy	18.054312480468255	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l)))
accuracy	21.03560241871406	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h)))
accuracy	4.630132290056258	(/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)
accuracy	7.113563402403197	(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))
accuracy	12.18167774439459	(sqrt.f64 (/.f64 d l))
accuracy	13.034036024642692	(sqrt.f64 (/.f64 d h))
accuracy	0.17578125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.6923818122104352	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	18.133626635442653	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	43.99564061077255	#s(approx (* (* (pow (/ 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	4.758065602467479	(.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))))
accuracy	9.646861598221522	(.f64 (.f64 (/.f64 #s(literal 1 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	12.18167774439459	(sqrt.f64 (/.f64 d l))
accuracy	13.034036024642692	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

237.0ms

256×

valid

Compiler

Compiled 698 to 73 computations (89.5% saved)

Precisions

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

ival-mult: 74.0ms (45.8% of total)

ival-div: 50.0ms (31% of total)

ival-pow: 18.0ms (11.1% of total)

ival-sqrt: 8.0ms (5% of total)

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

ival-sub: 3.0ms (1.9% of total)

ival-add: 2.0ms (1.2% 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)

series202.0ms (1.3%)

Memory

-26.8MiB live, 359.3MiB allocated; 76ms collecting garbage

Counts

26 → 94

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

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

Calls

15 calls:

Time	Variable		Point	Expression
33.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ d h)) (/ (pow (* (/ M 2) D) 2) d) (sqrt (/ 1 (* (pow l 3) h))) (sqrt (/ 1 (* (pow h 3) l))) (pow (/ d l) (/ 1 2)) (* (/ D 2) (* (/ M d) M)))
22.0ms	D	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ d h)) (/ (pow (* (/ M 2) D) 2) d) (sqrt (/ 1 (* (pow l 3) h))) (sqrt (/ 1 (* (pow h 3) l))) (pow (/ d l) (/ 1 2)) (* (/ D 2) (* (/ M d) M)))
21.0ms	l	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ d h)) (/ (pow (* (/ M 2) D) 2) d) (sqrt (/ 1 (* (pow l 3) h))) (sqrt (/ 1 (* (pow h 3) l))) (pow (/ d l) (/ 1 2)) (* (/ D 2) (* (/ M d) M)))
18.0ms	d	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ d h)) (/ (pow (* (/ M 2) D) 2) d) (sqrt (/ 1 (* (pow l 3) h))) (sqrt (/ 1 (* (pow h 3) l))) (pow (/ d l) (/ 1 2)) (* (/ D 2) (* (/ M d) M)))
16.0ms	D	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ d h)) (/ (pow (* (/ M 2) D) 2) d) (sqrt (/ 1 (* (pow l 3) h))) (sqrt (/ 1 (* (pow h 3) l))) (pow (/ d l) (/ 1 2)) (* (/ D 2) (* (/ M d) M)))

simplify147.0ms (0.9%)

Memory

21.2MiB live, 157.3MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	2055
1	1102	1925
2	4445	1896
0	8707	1844

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 94

Calls

Call 1

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

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

rewrite201.0ms (1.3%)

Memory

-19.4MiB live, 267.3MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	409
0	139	396
1	370	373
2	1934	357
0	8228	353

Stop Event

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

Counts

26 → 737

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

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

eval106.0ms (0.7%)

Memory: 15.5MiB live, 153.6MiB allocated; 21ms collecting garbage
Compiler: Compiled 47 362 to 3 456 computations (92.7% saved)

prune97.0ms (0.6%)

Memory

33.7MiB live, 169.5MiB allocated; 20ms collecting garbage

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	735	38	773
Fresh	17	10	27
Picked	4	1	5
Done	0	0	0
Total	756	49	805

Accuracy

94.1%

Counts

805 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.8%	(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	42.8%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) (sqrt.f64 h))
	41.6%	(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	44.8%	(.f64 (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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	37.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	39.3%	(.f64 (.f64 (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)) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 d h)))
	52.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	69.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	47.4%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 2 binary64)) #s(literal 1/4 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))))
	58.3%	(.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 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 d d))))
	63.8%	(.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 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) (.f64 #s(literal -2 binary64) d))))
▶	72.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	70.8%	(.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) #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)))))
	67.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 D d)) (/.f64 (.f64 (.f64 M M) h) l))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	39.1%	(.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))))
	20.6%	(.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))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
▶	41.4%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 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)))))
	69.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	68.9%	(.f64 (.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 (/.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)))))
	70.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))))
	13.4%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	25.7%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (.f64 (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 #s(literal 1 binary64) (.f64 l d)))) d)) (sqrt.f64 (/.f64 d h)))
	47.5%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	6.4%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
▶	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h))))
	29.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (pow.f64 h #s(literal -3/2 binary64)) (/.f64 d (sqrt.f64 l)) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))) h))
	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 (fma.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 M (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (/.f64 (.f64 D D) d))) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
	4.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (pow.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))))))) h))
	3.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
▶	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
	27.5%	#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))
✓	27.0%	#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))
	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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)))) (.f64 l l))) h))
	23.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) #s(literal -1/8 binary64))) h))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
▶	14.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
	44.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) d)))) h))
	11.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
	36.4%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	22.6%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	21.8%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

Compiler

Compiled 4 862 to 3 022 computations (37.8% saved)

simplify155.0ms (1%)

Memory

-16.7MiB live, 136.6MiB allocated; 81ms 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	2	(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	4	(.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)))
cost-diff	0	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d))
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
cost-diff	0	(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))
cost-diff	0	#s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l)))))
cost-diff	0	(.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
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	1	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (*.f64 #s(literal 2 binary64) l))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	4	(.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	780
0	153	765
1	304	721
2	987	721
3	5724	721
0	8135	711

Stop Event

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

Calls

Call 1

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

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

localize266.0ms (1.7%)

Memory

1.5MiB live, 479.3MiB allocated; 77ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.8629839095117404	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
accuracy	2.7057420739131897	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 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)))))
accuracy	4.262962828374152	(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)))
accuracy	5.495367882035554	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.656284372283465	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d))
accuracy	9.235117764207272	(sqrt.f64 (*.f64 l h))
accuracy	9.775693424742776	(sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h))
accuracy	12.093069216046649	(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))
accuracy	4.466834388553375	(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))
accuracy	4.76880033170795	(.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h)
accuracy	8.81028249431908	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l)))
accuracy	29.018947107778402	#s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l)))))
accuracy	0.09375	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.16015625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	9.235117764207272	(sqrt.f64 (*.f64 l h))
accuracy	15.730124221414796	#s(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	3.1069104226199813	(/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (*.f64 #s(literal 2 binary64) l))
accuracy	3.574388619913981	(.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h))
accuracy	5.495367882035554	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.341834572699637	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

103.0ms	134×	0	valid
97.0ms	122×	0	invalid

Compiler

Compiled 716 to 80 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 66.0ms (45.4% of total)

ival-div: 36.0ms (24.8% of total)

ival-pow: 23.0ms (15.8% of total)

ival-sqrt: 9.0ms (6.2% of total)

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

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

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

exact: 1.0ms (0.7% of total)

ival-neg: 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)

series127.0ms (0.8%)

Memory

-11.7MiB live, 230.1MiB allocated; 34ms collecting garbage

Counts

24 → 72

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
17.0ms	M	@	0	((* (/ (* (* (* (/ M d) M) D) (* 1/2 h)) (* 2 l)) (/ (/ D d) 2)) (/ 1 2) (/ (* (* (* (/ M d) M) D) (* 1/2 h)) (* 2 l)) (pow (/ d h) (/ 1 2)) (* (/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ 1 (* (pow h 3) l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (pow (/ d l) (/ 1 2)) (* (* (* (/ M d) M) D) (* 1/2 h)) (sqrt (/ 1 (* (pow h 3) l))) (sqrt (/ (pow l 3) h)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)))) (* (/ D 2) (* (/ M d) M)))
11.0ms	d	@	0	((* (/ (* (* (* (/ M d) M) D) (* 1/2 h)) (* 2 l)) (/ (/ D d) 2)) (/ 1 2) (/ (* (* (* (/ M d) M) D) (* 1/2 h)) (* 2 l)) (pow (/ d h) (/ 1 2)) (* (/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ 1 (* (pow h 3) l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (pow (/ d l) (/ 1 2)) (* (* (* (/ M d) M) D) (* 1/2 h)) (sqrt (/ 1 (* (pow h 3) l))) (sqrt (/ (pow l 3) h)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)))) (* (/ D 2) (* (/ M d) M)))
10.0ms	l	@	0	((* (/ (* (* (* (/ M d) M) D) (* 1/2 h)) (* 2 l)) (/ (/ D d) 2)) (/ 1 2) (/ (* (* (* (/ M d) M) D) (* 1/2 h)) (* 2 l)) (pow (/ d h) (/ 1 2)) (* (/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ 1 (* (pow h 3) l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (pow (/ d l) (/ 1 2)) (* (* (* (/ M d) M) D) (* 1/2 h)) (sqrt (/ 1 (* (pow h 3) l))) (sqrt (/ (pow l 3) h)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)))) (* (/ D 2) (* (/ M d) M)))
10.0ms	h	@	-inf	((* (/ (* (* (* (/ M d) M) D) (* 1/2 h)) (* 2 l)) (/ (/ D d) 2)) (/ 1 2) (/ (* (* (* (/ M d) M) D) (* 1/2 h)) (* 2 l)) (pow (/ d h) (/ 1 2)) (* (/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ 1 (* (pow h 3) l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (pow (/ d l) (/ 1 2)) (* (* (* (/ M d) M) D) (* 1/2 h)) (sqrt (/ 1 (* (pow h 3) l))) (sqrt (/ (pow l 3) h)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)))) (* (/ D 2) (* (/ M d) M)))
9.0ms	h	@	0	((* (/ (* (* (* (/ M d) M) D) (* 1/2 h)) (* 2 l)) (/ (/ D d) 2)) (/ 1 2) (/ (* (* (* (/ M d) M) D) (* 1/2 h)) (* 2 l)) (pow (/ d h) (/ 1 2)) (* (/ 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ 1 (* (pow h 3) l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (pow (/ d l) (/ 1 2)) (* (* (* (/ M d) M) D) (* 1/2 h)) (sqrt (/ 1 (* (pow h 3) l))) (sqrt (/ (pow l 3) h)) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)))) (* (/ D 2) (* (/ M d) M)))

simplify176.0ms (1.1%)

Memory

7.3MiB live, 239.6MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1590
1	788	1497
2	3311	1459
0	8647	1428

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite195.0ms (1.2%)

Memory

14.5MiB live, 251.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	503
0	146	493
1	426	440
2	2638	426
0	9704	419

Stop Event

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

Counts

24 → 518

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (/.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)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 D (.f64 (/.f64 M d) M)))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 D (.f64 (/.f64 M d) M))))
(.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64)))) (*.f64 (/.f64 M d) M))
(.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) M))
(.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (.f64 (.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) M) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 D (.f64 (/.f64 M d) M))) (*.f64 #s(literal 1/4 binary64) (/.f64 h l)))
(.f64 (/.f64 (.f64 (.f64 (.f64 D (*.f64 (/.f64 M d) M)) h) #s(literal 1/2 binary64)) l) (/.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 (/.f64 M d) M))) (/.f64 h #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) l))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 (*.f64 (/.f64 M d) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 D (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) M) (.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(.f64 (/.f64 h l) (.f64 (.f64 (.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) M) #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(.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)))
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))
(.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 D (*.f64 (/.f64 M d) M))))
(.f64 (.f64 (.f64 (.f64 D (.f64 (/.f64 M d) M)) h) #s(literal 1/2 binary64)) (/.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 l #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (.f64 D (.f64 (/.f64 M d) M)) h) #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (.f64 l #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)))
(.f64 (.f64 D (.f64 (/.f64 M d) M)) (.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h l)) (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (*.f64 h (/.f64 (/.f64 D d) #s(literal 2 binary64)))) l) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (*.f64 h (/.f64 (/.f64 D d) #s(literal 2 binary64)))) #s(literal 2 binary64)) l)
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 (/.f64 M d) M))) (/.f64 h #s(literal 2 binary64))) (/.f64 (/.f64 D d) #s(literal 2 binary64))) l)
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (neg.f64 h)) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) l))
(/.f64 (.f64 (.f64 h #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l)
(/.f64 (.f64 (/.f64 (neg.f64 D) d) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 D (*.f64 (/.f64 M d) M)))) #s(literal -2 binary64))
(/.f64 (.f64 D (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 D (.f64 (/.f64 M d) M)))) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (neg.f64 h) (.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 l))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (.f64 h #s(literal 1/2 binary64)))) l)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (.f64 h (/.f64 (/.f64 D d) #s(literal 2 binary64))))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 D (.f64 (/.f64 M d) M))) (/.f64 D d))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (.f64 h (/.f64 D d)))) (*.f64 l #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 D (*.f64 (/.f64 M d) M))) (/.f64 (neg.f64 D) d)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 D (.f64 (/.f64 M d) M))) D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 (/.f64 M d) M))) (/.f64 h #s(literal 2 binary64)))) l)
(/.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (neg.f64 h))) (.f64 #s(literal -2 binary64) l))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (.f64 h (/.f64 (/.f64 D d) #s(literal 2 binary64))))) (.f64 #s(literal -2 binary64) l))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 h l)) (.f64 D (*.f64 (/.f64 M d) M))) (/.f64 D d))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (.f64 h (/.f64 D d)))) (neg.f64 (.f64 l #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 h #s(literal 1/2 binary64)))) (neg.f64 l))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (/.f64 h #s(literal 2 binary64))) (/.f64 (neg.f64 D) d)) (.f64 #s(literal -2 binary64) l))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (/.f64 h #s(literal 2 binary64))) (/.f64 D d)) (.f64 l #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (.f64 (/.f64 M d) M))) (/.f64 h #s(literal 2 binary64))) D) (.f64 l (*.f64 #s(literal 2 binary64) d)))
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(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) d))) (sqrt.f64 h))
(/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 6 binary64)))))) (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 4 binary64)) (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 6 binary64))))) (sqrt.f64 (.f64 (/.f64 d l) d))) (.f64 (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 h)))
(/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) d)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 6 binary64)))))) (.f64 (sqrt.f64 h) (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) d)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 4 binary64)) (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 h) (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 4 binary64)) (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (/.f64 d l) d))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 h)))
(fma.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))))
(+.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (/.f64 D #s(literal 2 binary64)) M) (/.f64 M d))
(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
(.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) M)
(.f64 D (/.f64 (.f64 (/.f64 M d) M) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 M d) M) (/.f64 D #s(literal 2 binary64)))
(.f64 (/.f64 M d) (.f64 D (/.f64 M #s(literal 2 binary64))))
(.f64 M (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))
(/.f64 (.f64 (neg.f64 D) (.f64 (/.f64 M d) M)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 M M) (/.f64 D #s(literal 2 binary64))) d)
(/.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 M M)) d)
(/.f64 (.f64 (.f64 (/.f64 M d) M) (neg.f64 D)) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 D (.f64 (/.f64 M d) M))) #s(literal -2 binary64))
(/.f64 (.f64 (neg.f64 D) (.f64 M M)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 D (.f64 M M)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 M M) (neg.f64 D)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (.f64 (.f64 M M) D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 D (.f64 (/.f64 M d) M)) #s(literal 2 binary64))

eval138.0ms (0.9%)

Memory: -4.0MiB live, 140.1MiB allocated; 18ms collecting garbage
Compiler: Compiled 28 738 to 2 330 computations (91.9% saved)

prune152.0ms (0.9%)

Memory

-16.2MiB live, 140.8MiB allocated; 16ms collecting garbage

Pruning

57 alts after pruning (54 fresh and 3 done)

	Pruned	Kept	Total
New	484	26	510
Fresh	15	28	43
Picked	3	2	5
Done	0	1	1
Total	502	57	559

Accuracy

96.2%

Counts

559 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.1%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) d))) (sqrt.f64 h))
	21.8%	(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	42.8%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
▶	41.6%	(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	37.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	56.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	39.3%	(.f64 (.f64 (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)) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 d h)))
	52.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	69.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	58.3%	(.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 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 d d))))
	65.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 D (.f64 (/.f64 M d) M)) h) #s(literal 1/2 binary64)) D) (.f64 (.f64 l #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) d)))))
▶	72.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	70.1%	(.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 M d) (.f64 (.f64 D M) (*.f64 #s(literal 1/4 binary64) (/.f64 h l)))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	72.1%	(.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 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	35.5%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	42.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 M d) (*.f64 D (/.f64 M #s(literal 2 binary64))))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	43.0%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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)))))
	41.4%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.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)))))
	68.9%	(.f64 (.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 (/.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)))))
	70.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))))
	13.4%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	25.7%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (.f64 (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 #s(literal 1 binary64) (.f64 l d)))) d)) (sqrt.f64 (/.f64 d h)))
	47.5%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	6.4%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	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 (fma.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d (.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))) (*.f64 l l)))
	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 l)) (sqrt.f64 h) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) (*.f64 l l)))
	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) (.f64 #s(literal -1/8 binary64) M)) M) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	27.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
	44.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (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))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) l) l))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	14.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
	10.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
▶	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	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 (fma.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 M (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (/.f64 (.f64 D D) d))) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
	4.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (pow.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))))))) h))
	3.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
▶	26.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64))) d))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
	23.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
	27.5%	#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))
✓	27.0%	#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))
	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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)))) (.f64 l l))) h))
	23.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) #s(literal -1/8 binary64))) h))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	14.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) l)))))) h))
▶	14.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))) h))
✓	14.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
	11.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
	36.4%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	21.8%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

Compiler

Compiled 5 777 to 3 587 computations (37.9% saved)

simplify177.0ms (1.1%)

Memory

-13.1MiB live, 129.8MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	580
0	128	555
1	249	545
2	786	532
3	5210	532
0	8346	524

Stop Event

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

Calls

Call 1

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

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

localize262.0ms (1.6%)

Memory

6.9MiB live, 196.1MiB allocated; 14ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.4912300293053261	(pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	18.79640130262876	(pow.f64 (*.f64 l h) #s(literal 1/4 binary64))
accuracy	43.99564061077255	#s(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) (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64))) d))
accuracy	4.630132290056258	(/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)
accuracy	4.846082226413335	(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
accuracy	7.113563402403197	(fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
accuracy	18.461861817133858	(sqrt.f64 (*.f64 l h))
accuracy	8.050835580624657	(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))
accuracy	8.26940297661621	(.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))) h)
accuracy	18.054312480468255	(sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l))
accuracy	55.122662469823226	#s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l))))
accuracy	0.0	(*.f64 l h)
accuracy	0.21875	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	18.461861817133858	(sqrt.f64 (*.f64 l h))
accuracy	43.99564061077255	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	5.3413697758130585	(.f64 (.f64 D M) (*.f64 h #s(literal 1/2 binary64)))
accuracy	6.029454884654264	(/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) l))
accuracy	12.18167774439459	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	13.034036024642692	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

193.0ms

256×

valid

Compiler

Compiled 533 to 79 computations (85.2% saved)

Precisions

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

ival-mult: 53.0ms (32.7% of total)

ival-pow: 50.0ms (30.8% of total)

ival-div: 39.0ms (24% of total)

ival-pow2: 7.0ms (4.3% of total)

ival-sqrt: 6.0ms (3.7% of total)

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

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

exact: 1.0ms (0.6% of total)

ival-neg: 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)

series279.0ms (1.7%)

Memory

20.3MiB live, 153.4MiB allocated; 16ms collecting garbage

Counts

24 → 77

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
53.0ms	l	@	0	((* (/ (* (/ M d) (* (* D M) (* h 1/2))) (* 2 l)) (/ (/ D d) 2)) (/ 1 2) (/ (* (/ M d) (* (* D M) (* h 1/2))) (* 2 l)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ (pow h -3) l))) (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (pow (pow (* l h) 1/4) 2) (* (/ 1 (pow (pow (* l h) 1/4) 2)) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (pow (pow (* l h) 1/4) 2)) (pow (/ d l) (/ 1 2)) (* (* D M) (* h 1/2)) (sqrt (/ (pow h -3) l)) (pow (* l h) 1/4))
52.0ms	h	@	0	((* (/ (* (/ M d) (* (* D M) (* h 1/2))) (* 2 l)) (/ (/ D d) 2)) (/ 1 2) (/ (* (/ M d) (* (* D M) (* h 1/2))) (* 2 l)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ (pow h -3) l))) (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (pow (pow (* l h) 1/4) 2) (* (/ 1 (pow (pow (* l h) 1/4) 2)) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (pow (pow (* l h) 1/4) 2)) (pow (/ d l) (/ 1 2)) (* (* D M) (* h 1/2)) (sqrt (/ (pow h -3) l)) (pow (* l h) 1/4))
46.0ms	h	@	inf	((* (/ (* (/ M d) (* (* D M) (* h 1/2))) (* 2 l)) (/ (/ D d) 2)) (/ 1 2) (/ (* (/ M d) (* (* D M) (* h 1/2))) (* 2 l)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ (pow h -3) l))) (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (pow (pow (* l h) 1/4) 2) (* (/ 1 (pow (pow (* l h) 1/4) 2)) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (pow (pow (* l h) 1/4) 2)) (pow (/ d l) (/ 1 2)) (* (* D M) (* h 1/2)) (sqrt (/ (pow h -3) l)) (pow (* l h) 1/4))
23.0ms	M	@	0	((* (/ (* (/ M d) (* (* D M) (* h 1/2))) (* 2 l)) (/ (/ D d) 2)) (/ 1 2) (/ (* (/ M d) (* (* D M) (* h 1/2))) (* 2 l)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ (pow h -3) l))) (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (pow (pow (* l h) 1/4) 2) (* (/ 1 (pow (pow (* l h) 1/4) 2)) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (pow (pow (* l h) 1/4) 2)) (pow (/ d l) (/ 1 2)) (* (* D M) (* h 1/2)) (sqrt (/ (pow h -3) l)) (pow (* l h) 1/4))
21.0ms	h	@	-inf	((* (/ (* (/ M d) (* (* D M) (* h 1/2))) (* 2 l)) (/ (/ D d) 2)) (/ 1 2) (/ (* (/ M d) (* (* D M) (* h 1/2))) (* 2 l)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (neg d) (sqrt (/ (pow h -3) l))) (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (pow (pow (* l h) 1/4) 2) (* (/ 1 (pow (pow (* l h) 1/4) 2)) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (pow (pow (* l h) 1/4) 2)) (pow (/ d l) (/ 1 2)) (* (* D M) (* h 1/2)) (sqrt (/ (pow h -3) l)) (pow (* l h) 1/4))

simplify160.0ms (1%)

Memory

9.9MiB live, 60.2MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	1545
1	909	1479
2	3490	1449
0	8544	1413

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

Calls

Call 1

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

rewrite217.0ms (1.3%)

Memory

12.5MiB live, 247.9MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	403
0	120	379
1	391	359
2	2220	353
0	8486	347

Stop Event

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

Counts

24 → 701

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 (.f64 (neg.f64 (/.f64 M d)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) h) D) M)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 (neg.f64 (/.f64 M d)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) h) D) M)) l))
(.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) (.f64 (/.f64 (*.f64 M h) l) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (/.f64 D d))
(.f64 (/.f64 (.f64 (/.f64 (.f64 M (.f64 h (*.f64 D M))) d) #s(literal 1/4 binary64)) (neg.f64 l)) (/.f64 (/.f64 D d) #s(literal -2 binary64)))
(.f64 (/.f64 (/.f64 (neg.f64 D) d) l) (/.f64 (.f64 (/.f64 (.f64 M (.f64 h (*.f64 D M))) d) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (/.f64 (.f64 M (.f64 h (*.f64 D M))) d) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (/.f64 (/.f64 (neg.f64 D) d) l))
(.f64 (/.f64 (/.f64 (neg.f64 D) d) (neg.f64 l)) (/.f64 (.f64 (/.f64 (.f64 M (.f64 h (*.f64 D M))) d) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (/.f64 (.f64 M (.f64 h (*.f64 D M))) d) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (neg.f64 D) d) (neg.f64 l)))
(.f64 (/.f64 (.f64 (/.f64 (.f64 M (.f64 h (*.f64 D M))) d) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 D d) l))
(.f64 (/.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 l #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) h) (/.f64 D d)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 D d) (.f64 l #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M (.f64 h (.f64 D M))) d) #s(literal 1/4 binary64)))
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eval120.0ms (0.7%)

Memory: -28.3MiB live, 252.7MiB allocated; 26ms collecting garbage
Compiler: Compiled 34 986 to 3 124 computations (91.1% saved)

prune117.0ms (0.7%)

Memory

-1.3MiB live, 289.4MiB allocated; 21ms collecting garbage

Pruning

64 alts after pruning (61 fresh and 3 done)

	Pruned	Kept	Total
New	751	23	774
Fresh	11	38	49
Picked	4	1	5
Done	1	2	3
Total	767	64	831

Accuracy

97.3%

Counts

831 → 64

Alt Table

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Status	Accuracy	Program
	38.6%	(/.f64 (/.f64 (.f64 (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)) d) (sqrt.f64 l)) (sqrt.f64 h))
	42.5%	(/.f64 (.f64 (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)) d) (sqrt.f64 (.f64 l h)))
	34.1%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) d))) (sqrt.f64 h))
	21.8%	(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	42.8%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
	42.6%	(.f64 (fma.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	41.6%	(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 M #s(literal 2 binary64))) D) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	38.7%	(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	42.8%	(.f64 (fma.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	42.4%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	37.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	56.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	39.3%	(.f64 (.f64 (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)) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 d h)))
	52.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	69.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	58.3%	(.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 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 d d))))
	65.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 h (.f64 D M))) d) #s(literal 1/4 binary64)) D) (.f64 l (*.f64 #s(literal 2 binary64) d)))))
	38.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	72.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	72.1%	(.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 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	36.4%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	42.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 M d) (*.f64 D (/.f64 M #s(literal 2 binary64))))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	43.0%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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)))))
	41.4%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.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)))))
	68.9%	(.f64 (.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 (/.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)))))
	70.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))))
	13.4%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	22.4%	(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
	38.6%	(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (/.f64 (.f64 (.f64 D D) #s(literal 1/8 binary64)) l) (/.f64 (.f64 M M) d)) (/.f64 #s(literal 1 binary64) h)))) (/.f64 d (sqrt.f64 (.f64 l h))))
	25.7%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (.f64 (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 #s(literal 1 binary64) (.f64 l d)))) d)) (sqrt.f64 (/.f64 d h)))
	47.5%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	6.4%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	35.9%	#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	21.8%	#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	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 (fma.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d (.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))) (*.f64 l l)))
	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 l)) (sqrt.f64 h) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) (*.f64 l l)))
	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) (.f64 #s(literal -1/8 binary64) M)) M) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	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 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	27.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) l) l))
	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	14.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
	10.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	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 (fma.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 M (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (/.f64 (.f64 D D) d))) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
	26.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal -2 binary64)) d))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/8 binary64)) #s(literal -4 binary64)) d))
	4.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (pow.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))))))) h))
	3.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	24.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (.f64 l h))) #s(literal 2 binary64))) d))
	26.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 l h))) #s(literal 2 binary64))) d))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	26.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	11.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	15.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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))))))
	27.5%	#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))
✓	27.0%	#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))
	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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	27.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d)) (.f64 l l))) h))
	23.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) #s(literal -1/8 binary64))) h))
	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))

Compiler

Compiled 8 670 to 2 605 computations (70% saved)

regimes299.0ms (1.9%)

Memory

11.5MiB live, 492.6MiB allocated; 77ms collecting garbage

Counts

120 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (/.f64 (.f64 (.f64 D D) #s(literal 1/8 binary64)) l) (/.f64 (.f64 M M) d)) (/.f64 #s(literal 1 binary64) h)))) (/.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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 M #s(literal 2 binary64))) D) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 l h))) #s(literal 2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.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)))))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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 (.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 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) #s(literal -1/8 binary64))) h))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(/.f64 (.f64 (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)) d) (sqrt.f64 (.f64 l h)))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) (.f64 #s(literal -1/8 binary64) M)) M) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (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))
#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 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (/.f64 (.f64 (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)) d) (sqrt.f64 l)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
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(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (pow.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))))) (fma.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal -3 binary64)) h) (.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))))))) h))

Outputs

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

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

Calls

7 calls:

64.0ms	M
55.0ms	h
52.0ms	d
32.0ms	(*.f64 M D)
31.0ms	l

Results

Accuracy	Segments	Branch
74.2%	2	`(*.f64 M D)`
77.6%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
82.8%	3	`d`
81.2%	2	`h`
81.2%	2	`l`
77.0%	3	`M`
72.3%	1	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes71.0ms (0.4%)

Memory

-19.3MiB live, 76.0MiB allocated; 14ms collecting garbage

Counts

98 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (/.f64 (.f64 (.f64 D D) #s(literal 1/8 binary64)) l) (/.f64 (.f64 M M) d)) (/.f64 #s(literal 1 binary64) h)))) (/.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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 M #s(literal 2 binary64))) D) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 l h))) #s(literal 2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.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)))))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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 (.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 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) #s(literal -1/8 binary64))) h))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(/.f64 (.f64 (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)) d) (sqrt.f64 (.f64 l h)))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) (.f64 #s(literal -1/8 binary64) M)) M) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (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))
#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 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (/.f64 (.f64 (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)) d) (sqrt.f64 l)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
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(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)))) (.f64 l l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d)) (.f64 l l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.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)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/8 binary64)) #s(literal -4 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 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal -2 binary64)) d))
(.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))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) (sqrt.f64 h))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (.f64 (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 #s(literal 1 binary64) (.f64 l d)))) d)) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #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 (/.f64 h l) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.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 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))))
(.f64 (.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 (/.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)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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)))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 M d) (*.f64 D (/.f64 M #s(literal 2 binary64))))) (/.f64 (/.f64 D d) #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)))
#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 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d (.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 M (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (/.f64 (.f64 D D) d))) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) l) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 l)) (sqrt.f64 h) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 h (/.f64 (.f64 D D) d))) (*.f64 M M) #s(literal 1 binary64))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 h (.f64 D M))) d) #s(literal 1/4 binary64)) D) (.f64 l (*.f64 #s(literal 2 binary64) d)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)))))

Outputs

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

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

Calls

1 calls:

43.0ms

Results

Accuracy	Segments	Branch
82.8%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes98.0ms (0.6%)

Memory

22.1MiB live, 160.6MiB allocated; 59ms collecting garbage

Counts

91 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
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(.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 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))))
(.f64 (.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 (/.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)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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)))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 M d) (*.f64 D (/.f64 M #s(literal 2 binary64))))) (/.f64 (/.f64 D d) #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)))
#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 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d (.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 M (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (/.f64 (.f64 D D) d))) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 l h)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) l) l))

Outputs

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

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

Calls

2 calls:

58.0ms	h
34.0ms	d

Results

Accuracy	Segments	Branch
81.2%	2	`h`
81.2%	2	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes135.0ms (0.8%)

Memory

30.4MiB live, 202.4MiB allocated; 93ms collecting garbage

Counts

84 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (/.f64 (.f64 (.f64 D D) #s(literal 1/8 binary64)) l) (/.f64 (.f64 M M) d)) (/.f64 #s(literal 1 binary64) h)))) (/.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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 M #s(literal 2 binary64))) D) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 l h))) #s(literal 2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.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)))))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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 (.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 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) #s(literal -1/8 binary64))) h))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(/.f64 (.f64 (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)) d) (sqrt.f64 (.f64 l h)))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) (.f64 #s(literal -1/8 binary64) M)) M) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (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))
#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 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (/.f64 (.f64 (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)) d) (sqrt.f64 l)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (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)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) d))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)))) (.f64 l l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d)) (.f64 l l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.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)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/8 binary64)) #s(literal -4 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 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal -2 binary64)) d))
(.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))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) (sqrt.f64 h))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (.f64 (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 #s(literal 1 binary64) (.f64 l d)))) d)) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #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 (/.f64 h l) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.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 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))))
(.f64 (.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 (/.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)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))

Outputs

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

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

Calls

3 calls:

63.0ms	l
42.0ms	d
25.0ms	h

Results

Accuracy	Segments	Branch
79.4%	2	`l`
79.4%	2	`d`
79.4%	2	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes113.0ms (0.7%)

Memory

18.7MiB live, 204.6MiB allocated; 52ms collecting garbage

Counts

83 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (/.f64 (.f64 (.f64 D D) #s(literal 1/8 binary64)) l) (/.f64 (.f64 M M) d)) (/.f64 #s(literal 1 binary64) h)))) (/.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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 M #s(literal 2 binary64))) D) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 l h))) #s(literal 2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.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)))))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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 (.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 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) #s(literal -1/8 binary64))) h))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(/.f64 (.f64 (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)) d) (sqrt.f64 (.f64 l h)))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) (.f64 #s(literal -1/8 binary64) M)) M) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (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))
#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 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (/.f64 (.f64 (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)) d) (sqrt.f64 l)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (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)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) d))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)))) (.f64 l l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d)) (.f64 l l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.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)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/8 binary64)) #s(literal -4 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 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal -2 binary64)) d))
(.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))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) (sqrt.f64 h))
(/.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (.f64 (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 #s(literal 1 binary64) (.f64 l d)))) d)) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (.f64 (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)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #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 (/.f64 h l) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.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 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))))
(.f64 (.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 (/.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)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))

Outputs

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

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

Calls

3 calls:

44.0ms	h
41.0ms	d
22.0ms	l

Results

Accuracy	Segments	Branch
78.6%	2	`d`
78.6%	2	`l`
78.6%	2	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes112.0ms (0.7%)

Memory

-19.5MiB live, 217.9MiB allocated; 18ms collecting garbage

Counts

82 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
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(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 (/.f64 h l) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.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 (.f64 (/.f64 M d) M) D) (.f64 #s(literal 1/2 binary64) h)) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))))
(.f64 (.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 (/.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)))))

Outputs

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

Calls

4 calls:

39.0ms	d
23.0ms	h
22.0ms	l
20.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
77.6%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
77.1%	2	`d`
77.1%	2	`l`
77.1%	2	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes74.0ms (0.5%)

Memory

13.2MiB live, 154.6MiB allocated; 11ms collecting garbage

Counts

65 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (/.f64 (.f64 (.f64 D D) #s(literal 1/8 binary64)) l) (/.f64 (.f64 M M) d)) (/.f64 #s(literal 1 binary64) h)))) (/.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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 M #s(literal 2 binary64))) D) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 l h))) #s(literal 2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.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)))))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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 (.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 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) #s(literal -1/8 binary64))) h))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(/.f64 (.f64 (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)) d) (sqrt.f64 (.f64 l h)))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 M M)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (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)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) (.f64 #s(literal -1/8 binary64) M)) M) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (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))
#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 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (/.f64 (.f64 (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)) d) (sqrt.f64 l)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))) d))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (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)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) d))) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)))) (.f64 l l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) d)) (.f64 l l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.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)))

Outputs

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

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

Calls

4 calls:

19.0ms	d
18.0ms	l
17.0ms	h
16.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
75.5%	2	`d`
75.5%	2	`h`
75.5%	2	`l`
76.4%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes149.0ms (0.9%)

Memory

22.9MiB live, 208.4MiB allocated; 71ms collecting garbage

Counts

57 → 4

Calls

Call 1

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

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

Calls

7 calls:

55.0ms	(*.f64 M D)
16.0ms	h
16.0ms	d
15.0ms	l
15.0ms	D

Results

Accuracy	Segments	Branch
66.4%	3	`D`
69.2%	3	`(*.f64 M D)`
67.8%	3	`M`
70.8%	3	`d`
69.6%	3	`h`
71.7%	4	`l`
73.1%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes30.0ms (0.2%)

Memory

-38.4MiB live, 57.1MiB allocated; 8ms collecting garbage

Counts

47 → 4

Calls

Call 1

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

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

Calls

2 calls:

13.0ms

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
67.9%	3	`d`
72.1%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes12.0ms (0.1%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Counts

41 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (/.f64 (.f64 (.f64 D D) #s(literal 1/8 binary64)) l) (/.f64 (.f64 M M) d)) (/.f64 #s(literal 1 binary64) h)))) (/.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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 M #s(literal 2 binary64))) D) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 l h))) #s(literal 2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.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)))))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.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 (.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 (.f64 (/.f64 (.f64 M M) d) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))))) #s(literal -1/8 binary64))) h))

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

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
71.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes21.0ms (0.1%)

Memory

4.1MiB live, 50.1MiB allocated; 2ms collecting garbage

Counts

35 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (/.f64 (.f64 (.f64 D D) #s(literal 1/8 binary64)) l) (/.f64 (.f64 M M) d)) (/.f64 #s(literal 1 binary64) h)))) (/.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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 M #s(literal 2 binary64))) D) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 l h))) #s(literal 2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.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)))))
#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

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

Calls

2 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
64.7%	2	`l`
71.6%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-25.9MiB live, 21.7MiB allocated; 7ms collecting garbage

Counts

32 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (/.f64 (.f64 (.f64 D D) #s(literal 1/8 binary64)) l) (/.f64 (.f64 M M) d)) (/.f64 #s(literal 1 binary64) h)))) (/.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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (/.f64 M #s(literal 2 binary64))) D) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -3 binary64)) l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 l h))) #s(literal 2 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 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (pow.f64 (neg.f64 h) #s(literal 3 binary64)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))

Outputs

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

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

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

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
70.0%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes11.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (/.f64 (.f64 (.f64 D D) #s(literal 1/8 binary64)) l) (/.f64 (.f64 M M) d)) (/.f64 #s(literal 1 binary64) h)))) (/.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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

Outputs

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

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

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

Calls

2 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
54.5%	3	`h`
69.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-24.4MiB live, 19.7MiB allocated; 9ms collecting garbage

Counts

14 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))

Outputs

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

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

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

Calls

2 calls:

9.0ms

(*.f64 M D)

4.0ms

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

Results

Accuracy	Segments	Branch
65.3%	2	`(*.f64 M D)`
68.5%	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 38 to 28 computations (26.3% saved)

regimes46.0ms (0.3%)

Memory

3.4MiB live, 48.2MiB allocated; 6ms collecting garbage

Counts

13 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))
(.f64 #s(approx (+ ( (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) l) (.f64 (/.f64 (.f64 M M) d) h))) (/.f64 d (sqrt.f64 (.f64 l h))))

Outputs

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

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

Calls

6 calls:

24.0ms	l
4.0ms	d
4.0ms	D
4.0ms	M
4.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
53.5%	3	`l`
56.7%	2	`D`
63.4%	2	`(*.f64 M D)`
61.1%	2	`M`
55.6%	3	`d`
63.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 42 to 48 computations (-14.3% saved)

regimes16.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Counts

12 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) 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 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (.f64 l h)))) (*.f64 l l)))

Outputs

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

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

Calls

4 calls:

4.0ms	D
4.0ms	M
4.0ms	(*.f64 M D)
4.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
52.8%	2	`D`
55.7%	2	`M`
55.8%	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))))`
56.3%	2	`(*.f64 M D)`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes613.0ms (3.8%)

Memory

-116.3MiB live, 50.6MiB allocated; 1.2s collecting garbage

Counts

11 → 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)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.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 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))

Outputs

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

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

Calls

7 calls:

591.0ms	M
4.0ms	d
4.0ms	D
4.0ms	(*.f64 M D)
4.0ms	l

Results

Accuracy	Segments	Branch
50.9%	2	`l`
47.5%	1	`D`
50.9%	2	`h`
50.9%	2	`d`
49.9%	2	`M`
51.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
50.4%	2	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes34.0ms (0.2%)

Memory

-53.5MiB live, 49.0MiB allocated; 19ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Calls

7 calls:

15.0ms	l
3.0ms	d
3.0ms	M
3.0ms	h
3.0ms	D

Results

Accuracy	Segments	Branch
33.9%	4	`D`
34.5%	3	`M`
33.4%	3	`(*.f64 M D)`
48.8%	2	`d`
48.2%	2	`h`
48.6%	2	`l`
33.4%	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 43 to 53 computations (-23.3% saved)

regimes10.0ms (0.1%)

Memory

-28.2MiB live, 15.9MiB allocated; 6ms 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:

5.0ms	h
2.0ms	l
2.0ms	d

Results

Accuracy	Segments	Branch
43.3%	2	`h`
43.0%	2	`l`
43.2%	2	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes14.0ms (0.1%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
27.0%	1	`D`
27.0%	1	`(*.f64 M D)`
27.0%	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))))`
27.0%	1	`M`
27.0%	1	`l`
27.0%	1	`d`
27.0%	1	`h`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes12.0ms (0.1%)

Memory

-19.1MiB live, 23.8MiB allocated; 6ms 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:

5.0ms	D
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	h
1.0ms	M
1.0ms	d

Results

Accuracy	Segments	Branch
26.6%	1	`M`
26.6%	1	`(*.f64 M D)`
26.6%	1	`D`
26.6%	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))))`
26.6%	1	`l`
26.6%	1	`d`
26.6%	1	`h`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch149.0ms (0.9%)

Memory

27.9MiB live, 168.9MiB allocated; 25ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
83.0ms	5.434987608495703e-189	6.073572384549136e-187
53.0ms	-5.531502211891919e-307	2.1426751041688352e-302

Samples

43.0ms	256×	0	valid
33.0ms	222×	0	invalid

Compiler

Compiled 1 628 to 1 108 computations (31.9% saved)

Precisions

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

ival-div: 17.0ms (31.9% of total)

ival-mult: 17.0ms (31.9% of total)

ival-pow: 11.0ms (20.6% of total)

ival-pow2: 5.0ms (9.4% of total)

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

exact: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch34.0ms (0.2%)

Memory

17.0MiB live, 59.2MiB allocated; 11ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	5.434987608495703e-189	6.073572384549136e-187
2.0ms	-5.531502211891919e-307	2.1426751041688352e-302

Samples

12.0ms	55×	0	invalid
10.0ms	64×	0	valid

Compiler

Compiled 1 656 to 1 136 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 9.0ms (51.4% of total)

ival-div: 4.0ms (22.8% of total)

ival-pow: 3.0ms (17.1% of total)

ival-sub: 1.0ms (5.7% of total)

ival-pow2: 1.0ms (5.7% 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)

bsearch92.0ms (0.6%)

Memory

-12.4MiB live, 131.0MiB allocated; 41ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
80.0ms	-1.3345737443608636e-304	2.6301916687570285e-302

Samples

41.0ms	163×	0	invalid
27.0ms	160×	0	valid

Compiler

Compiled 778 to 600 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 22.0ms (45.5% of total)

ival-mult: 11.0ms (22.8% of total)

ival-pow: 10.0ms (20.7% of total)

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

ival-sub: 2.0ms (4.1% 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)

bsearch3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-1.3345737443608636e-304	2.6301916687570285e-302

Compiler

Compiled 778 to 600 computations (22.9% saved)

bsearch3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-1.3345737443608636e-304	2.6301916687570285e-302

Compiler

Compiled 778 to 600 computations (22.9% saved)

bsearch9.0ms (0.1%)

Memory

-41.2MiB live, 3.0MiB allocated; 17ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.220496342794126e-48	-1.488572439891349e-127
0.0ms	-inf	-8.477776350379377e+289

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	6.7491007e-315
0.0ms	-inf	-8.477776350379377e+289

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	0.0	6.7491007e-315
0.0ms	-inf	-8.477776350379377e+289

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-4.409628727478994e-42	-3.220496342794126e-48
0.0ms	-inf	-8.477776350379377e+289

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	6.7491007e-315

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	6.7491007e-315

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	6.7491007e-315

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.4001869362728374e+71	7.449399410743096e+77

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.449399410743096e+77	1.2031146631188787e+91

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.7491007e-315

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch57.0ms (0.4%)

Memory

9.3MiB live, 107.6MiB allocated; 28ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	4.051675225773598e-170	6.574492941752138e-168

Samples

31.0ms	112×	0	valid
13.0ms	101×	0	invalid

Compiler

Compiled 654 to 436 computations (33.3% saved)

Precisions

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

ival-pow: 18.0ms (49.9% of total)

ival-div: 7.0ms (19.4% of total)

ival-mult: 7.0ms (19.4% of total)

ival-pow2: 2.0ms (5.5% of total)

ival-sub: 1.0ms (2.8% 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)

bsearch56.0ms (0.4%)

Memory

5.5MiB live, 95.6MiB allocated; 19ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	-7.5029018601692e-287	-5.973496073982503e-288

Samples

27.0ms	96×	0	valid
17.0ms	115×	0	invalid

Compiler

Compiled 572 to 384 computations (32.9% saved)

Precisions

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

ival-pow: 17.0ms (47.6% of total)

ival-div: 8.0ms (22.4% of total)

ival-mult: 7.0ms (19.6% of total)

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

ival-sub: 1.0ms (2.8% 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)

simplify90.0ms (0.6%)

Memory

-28.5MiB live, 120.2MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	2784
1	374	2784
2	755	2784
3	3186	2784
4	7380	2784

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64))))) (if (<=.f64 d #s(literal 4389399446348979/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 l)) (sqrt.f64 h) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) (.f64 l l))) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))))
(if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64))))) (if (<=.f64 d #s(literal 529079397550993/39191066485258739495582803211213116836177854260974927689867324404930562930532401964915294470471057677470020717800991369135822596029816596680341771026342219486499009066287015365002034290763159969980219392 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 l)) (sqrt.f64 h) (.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)) (.f64 l l))) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 M d) (.f64 D (/.f64 M #s(literal 2 binary64))))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))))
(if (<=.f64 h #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64))))) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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))))))
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Outputs
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(if (<=.f64 h #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64))))) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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))))))
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(if (<=.f64 h #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (/.f64 M d) (.f64 (.f64 D M) (.f64 h #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64))))) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.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))))))
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(if (<=.f64 d #s(literal 713849462345735/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 h #s(literal -8229186103190533/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 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)))
(if (<=.f64 h #s(literal -8229186103190533/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.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 (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))))

derivations1.8s (11.1%)

Memory

0.4MiB live, 1 164.1MiB allocated; 137ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1590
1	788	1497
2	3311	1459
0	8647	1428
0	95	503
0	146	493
1	426	440
2	2638	426
0	9704	419
0	82	409
0	139	396
1	370	373
2	1934	357
0	8228	353
0	147	635
1	444	594
2	1805	575
3	6314	574
0	8627	558
0	22	72
0	38	68
1	110	67
2	610	67
3	7910	67
0	8018	65
0	332	2055
1	1102	1925
2	4445	1896
0	8707	1844
0	273	1545
1	909	1479
2	3490	1449
0	8544	1413
0	84	403
0	120	379
1	391	359
2	2220	353
0	8486	347

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×	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

Compiler

Compiled 2 864 to 258 computations (91% saved)

preprocess177.0ms (1.1%)

Memory: 38.1MiB live, 364.4MiB allocated; 41ms collecting garbage
Compiler: Compiled 7 514 to 1 544 computations (79.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0s (6.4%)

sample5.5s (34.4%)

explain362.0ms (2.3%)

preprocess221.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify160.0ms (1%)

localize104.0ms (0.7%)

series67.0ms (0.4%)

simplify198.0ms (1.2%)

rewrite149.0ms (0.9%)

eval132.0ms (0.8%)

prune49.0ms (0.3%)

simplify114.0ms (0.7%)

localize307.0ms (1.9%)

series202.0ms (1.3%)

simplify147.0ms (0.9%)

rewrite201.0ms (1.3%)

eval106.0ms (0.7%)

prune97.0ms (0.6%)

simplify155.0ms (1%)

localize266.0ms (1.7%)

series127.0ms (0.8%)

simplify176.0ms (1.1%)

rewrite195.0ms (1.2%)

eval138.0ms (0.9%)

prune152.0ms (0.9%)

simplify177.0ms (1.1%)

localize262.0ms (1.6%)

series279.0ms (1.7%)

simplify160.0ms (1%)

rewrite217.0ms (1.3%)

eval120.0ms (0.7%)

prune117.0ms (0.7%)

regimes299.0ms (1.9%)

regimes71.0ms (0.4%)

regimes98.0ms (0.6%)

regimes135.0ms (0.8%)

regimes113.0ms (0.7%)

regimes112.0ms (0.7%)

regimes74.0ms (0.5%)

regimes149.0ms (0.9%)

regimes30.0ms (0.2%)

regimes12.0ms (0.1%)

regimes21.0ms (0.1%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes15.0ms (0.1%)

regimes46.0ms (0.3%)

regimes16.0ms (0.1%)

regimes613.0ms (3.8%)

regimes34.0ms (0.2%)

regimes10.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch149.0ms (0.9%)

bsearch34.0ms (0.2%)

bsearch92.0ms (0.6%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch57.0ms (0.4%)

bsearch56.0ms (0.4%)

simplify90.0ms (0.6%)

derivations1.8s (11.1%)

preprocess177.0ms (1.1%)

end0.0ms (0%)

Profiling