Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze736.0ms (4.7%)

Memory

-8.8MiB live, 996.6MiB allocated; 206ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample6.5s (41.4%)

Memory

15.1MiB live, 7 093.4MiB allocated; 2.6s collecting garbage

Samples

3.1s	13 276×	0	invalid
1.8s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-div: 1.5s (40.7% of total)

ival-mult: 1.0s (26.5% of total)

ival-pow: 673.0ms (17.8% of total)

ival-pow2: 307.0ms (8.1% of total)

ival-sub: 199.0ms (5.3% of total)

exact: 24.0ms (0.6% of total)

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

ival-assert: 11.0ms (0.3% of total)

adjust: 7.0ms (0.2% of total)

Bogosity

explain356.0ms (2.3%)

Memory

47.8MiB live, 698.2MiB allocated; 119ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
75	-	2	(7.773047551981426e-296 9.544120858504768e-92 3123184060975584.5 -6.568976561372569e+34 1.4076124038108774e-291)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
69	-	2	(7.616805498687624e-275 1.9471722756944987e+41 4.954748680681591e-273 -1.2641796533252598e+266 7.473427945604071e-14)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
36	-	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))`
24	-	2	(-8.99181348948764e-269 -2.9800102962529894e+190 -8.753865340485291e-97 -2.4890909187552022e-214 -3.2282988447028165e-129)	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
17	-	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	39	0
↳	`(/.f64 d l)`	overflow	39
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	34	0
↳	`(/.f64 d h)`	overflow	34
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	34	0
↳	`(/.f64 d l)`	underflow	34
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	33	0
↳	`(/.f64 d h)`	underflow	33
`*.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**	16	0
↳	`(/.f64 d h)`	underflow	33
↳	`(/.f64 d l)`	underflow	34
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	22
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	80
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	80
↳	`(/.f64 h l)`	overflow	33
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	86
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	86
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	53
`*.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	8	0
↳	`(*.f64 M D)`	overflow	33
`*.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**	5	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**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	84
↳	`(.f64 (/.f64 #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	84
↳	`(*.f64 M D)`	underflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	39
↳	`(/.f64 h l)`	overflow	33
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	80
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	80
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	53
↳	`(/.f64 h l)`	underflow	24
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	31
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	90	1
-	39	126

Precision

0.6976744186046512

Recall

0.989010989010989

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	90	0	1
-	39	0	126

Precision?

0.6976744186046512

Recall?

0.989010989010989

Freqs

test

number	freq
0	127
1	78
2	38
3	12
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

101.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-pow: 23.0ms (33.4% of total)

ival-div: 18.0ms (26.1% of total)

ival-mult: 18.0ms (26.1% of total)

ival-pow2: 6.0ms (8.7% of total)

ival-sub: 3.0ms (4.4% of total)

ival-true: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

preprocess168.0ms (1.1%)

Memory

-17.1MiB live, 175.6MiB allocated; 50ms 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
▶	65.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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

▶

65.7%

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

simplify159.0ms (1%)

Memory

2.5MiB live, 147.8MiB allocated; 32ms 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)

localize77.0ms (0.5%)

Memory

16.4MiB live, 161.5MiB allocated; 19ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.709609762895867	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	8.501631414103759	(.f64 (.f64 (/.f64 #s(literal 1 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	15.974915707808247	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	17.461676738957635	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

64.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

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

ival-mult: 25.0ms (51.7% of total)

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

ival-div: 9.0ms (18.6% of total)

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

ival-sub: 1.0ms (2.1% 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)

series90.0ms (0.6%)

Memory

6.0MiB live, 98.5MiB allocated; 6ms 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
47.0ms	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)))))
8.0ms	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	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)))))
3.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
3.0ms	h	@	-inf	((/ 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)))))

simplify151.0ms (1%)

Memory

-33.6MiB live, 303.1MiB allocated; 42ms 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))

rewrite242.0ms (1.5%)

Memory

25.7MiB live, 301.1MiB allocated; 35ms 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)))))

eval56.0ms (0.4%)

Memory: 19.0MiB live, 120.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 17 710 to 1 295 computations (92.7% saved)

prune35.0ms (0.2%)

Memory

-12.9MiB live, 79.6MiB allocated; 5ms collecting garbage

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	359	30	389
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	360	30	390

Accuracy

91.3%

Counts

390 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.3%	(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))))
	19.4%	(/.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	34.2%	(/.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))
	18.7%	(/.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)))
	34.4%	(/.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))
	28.9%	(-.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)))))
	39.8%	(.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))))
	47.7%	(.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)))
	56.4%	(.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 (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))))
▶	66.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 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)))))
	63.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	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 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d))))
	50.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)))))
	52.2%	(.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)))) #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))))
	36.7%	(.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))) #s(literal 1 binary64)))
	33.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.8%	(.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))))
	65.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.7%	(.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))))
	36.8%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	38.9%	(.f64 (.f64 (/.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))))
	23.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 (.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))))))
▶	42.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #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))
	17.6%	#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)))
	22.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 M M) 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)))
	31.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.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))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	17.3%	#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))))))
▶	27.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 510 to 1 676 computations (33.2% saved)

simplify165.0ms (1%)

Memory

7.4MiB live, 142.4MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	628
0	140	627
1	266	579
2	827	575
3	5188	575
0	8037	568

Stop Event

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

Calls

Call 1

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

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

localize327.0ms (2.1%)

Memory

-7.0MiB live, 350.4MiB allocated; 149ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.2077731286660085	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	2.456236119244005	(.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))))
accuracy	3.98946199580585	(.f64 (.f64 (/.f64 #s(literal 1 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	8.933496422859623	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	3.62009918927948	(/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d))
accuracy	4.017557244279607	(.f64 (/.f64 h l) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
accuracy	5.447315690555741	(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))))
accuracy	12.110273009920462	(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
accuracy	3.5961858233102095	(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))
accuracy	8.046489400390124	(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy	8.18734580637318	(sqrt.f64 (/.f64 h l))
accuracy	8.593509435706423	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d))
accuracy	0.10546875	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.2790429945055867	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	5.8907059808060085	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	16.03899724382901	#s(approx (* (* (pow (/ 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	3.721974637786493	(.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l)))
accuracy	3.781762512248517	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))
accuracy	7.706378223401026	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.933496422859623	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

80.0ms	126×	0	invalid
76.0ms	130×	0	valid

Compiler

Compiled 639 to 70 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 48.0ms (41.9% of total)

ival-div: 23.0ms (20.1% of total)

ival-pow2: 15.0ms (13.1% of total)

ival-pow: 13.0ms (11.3% of total)

ival-sqrt: 9.0ms (7.9% of total)

ival-sub: 3.0ms (2.6% of total)

ival-add: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series168.0ms (1.1%)

Memory

-2.0MiB live, 332.1MiB allocated; 52ms collecting garbage

Counts

27 → 83

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	d	@	0	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d 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)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (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 (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ h l) (sqrt (* (/ d l) (/ d h))))) (sqrt (* (/ d l) (/ d h)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (pow (* D M) 2) 1/2) (pow (* D M) 2) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/2 (/ D 2)) (/ M d)) (* (/ (/ D d) 2) (* M (/ h l))) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (* (/ d l) (/ d h))) (* (/ h l) (sqrt (* (/ d l) (/ d h)))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
18.0ms	d	@	-inf	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d 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)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (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 (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ h l) (sqrt (* (/ d l) (/ d h))))) (sqrt (* (/ d l) (/ d h)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (pow (* D M) 2) 1/2) (pow (* D M) 2) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/2 (/ D 2)) (/ M d)) (* (/ (/ D d) 2) (* M (/ h l))) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (* (/ d l) (/ d h))) (* (/ h l) (sqrt (* (/ d l) (/ d h)))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
14.0ms	h	@	-inf	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d 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)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (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 (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ h l) (sqrt (* (/ d l) (/ d h))))) (sqrt (* (/ d l) (/ d h)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (pow (* D M) 2) 1/2) (pow (* D M) 2) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/2 (/ D 2)) (/ M d)) (* (/ (/ D d) 2) (* M (/ h l))) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (* (/ d l) (/ d h))) (* (/ h l) (sqrt (* (/ d l) (/ d h)))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
14.0ms	d	@	inf	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d 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)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (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 (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ h l) (sqrt (* (/ d l) (/ d h))))) (sqrt (* (/ d l) (/ d h)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (pow (* D M) 2) 1/2) (pow (* D M) 2) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/2 (/ D 2)) (/ M d)) (* (/ (/ D d) 2) (* M (/ h l))) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (* (/ d l) (/ d h))) (* (/ h l) (sqrt (* (/ d l) (/ d h)))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
12.0ms	D	@	inf	((* (* (/ (/ D d) 2) (* M (/ h l))) (* (* 1/2 (/ D 2)) (/ M d))) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d 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)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (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 (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ h l) (sqrt (* (/ d l) (/ d h))))) (sqrt (* (/ d l) (/ d h)))) (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (pow (* D M) 2) 1/2) (pow (* D M) 2) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/2 (/ D 2)) (/ M d)) (* (/ (/ D d) 2) (* M (/ h l))) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (* (/ d l) (/ d h))) (* (/ h l) (sqrt (* (/ d l) (/ d h)))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))

simplify118.0ms (0.8%)

Memory

14.8MiB live, 147.0MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	1650
1	858	1539
2	3501	1502
0	8704	1465

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 83

Calls

Call 1

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

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

rewrite233.0ms (1.5%)

Memory

1.9MiB live, 330.6MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	384
0	133	375
1	371	342
2	2149	336
0	8392	331

Stop Event

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

Counts

27 → 890

Calls

Call 1

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

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

eval139.0ms (0.9%)

Memory: -13.2MiB live, 214.1MiB allocated; 37ms collecting garbage
Compiler: Compiled 45 791 to 3 940 computations (91.4% saved)

prune63.0ms (0.4%)

Memory

27.1MiB live, 133.5MiB allocated; 12ms collecting garbage

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	981	32	1 013
Fresh	21	4	25
Picked	4	1	5
Done	0	0	0
Total	1 006	37	1 043

Accuracy

93.9%

Counts

1 043 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.3%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M D) M) D) #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))))
	28.3%	(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 M D) D) M) #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))))
	28.3%	(fma.f64 (.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 #s(literal -1/4 binary64) d))) (.f64 (/.f64 h l) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	23.3%	(/.f64 (fma.f64 (/.f64 (fabs.f64 d) (sqrt.f64 l)) (.f64 l d) (.f64 (sqrt.f64 h) (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 h) (*.f64 l d)))
	30.0%	(/.f64 (fma.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 d l) (fabs.f64 d))) (.f64 (.f64 d l) (sqrt.f64 (*.f64 l h))))
	31.8%	(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d))) (sqrt.f64 (.f64 l h)) (.f64 l (fabs.f64 d))) (.f64 l (sqrt.f64 (*.f64 l h))))
	41.4%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 l))) (sqrt.f64 h))
	26.4%	(/.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 h) (fma.f64 (.f64 (pow.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
	19.4%	(/.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	50.9%	(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
▶	71.1%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	65.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	63.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 h M) D) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	52.2%	(.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)))) #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))))
	33.4%	(.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 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)))))
	66.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 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)))))
	2.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (-.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)))))
	37.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.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)))))
	24.2%	#s(approx (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ h l) (sqrt (* (/ d l) (/ d h))))) (sqrt (* (/ d l) (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	59.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	49.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 D d) D)) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	53.8%	#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 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 M M) #s(literal -1/8 binary64))) (.f64 (/.f64 D d) D) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	50.7%	#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)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
▶	49.8%	#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 D (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal -1/8 binary64)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	19.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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))
	54.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 M (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 D d) D))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	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 (.f64 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h))))
	38.5%	#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 (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	31.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.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))
▶	27.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
	28.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
✓	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
▶	26.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (neg.f64 (log.f64 (.f64 l h))))) 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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))

Compiler

Compiled 3 330 to 2 126 computations (36.2% saved)

simplify109.0ms (0.7%)

Memory

-57.8MiB live, 109.5MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	496
0	98	485
1	205	472
2	542	472
3	3193	462
0	8288	462

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (1.1%)

Memory

25.6MiB live, 214.1MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.080500408283108	(exp.f64 (neg.f64 (log.f64 (*.f64 l h))))
accuracy	14.580860997118544	(sqrt.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 l h)))))
accuracy	15.389112101844832	(log.f64 (*.f64 l h))
accuracy	45.709221526384034	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (neg.f64 (log.f64 (.f64 l h))))) d))
accuracy	8.825361817721301	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
accuracy	9.646139735238618	(fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal -1/8 binary64)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	13.922889461195668	(sqrt.f64 (/.f64 h l))
accuracy	17.054938206497557	(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy	0.2265625	(.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d)
accuracy	14.580860997118544	(sqrt.f64 (pow.f64 (.f64 (.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64)))
accuracy	17.17973773020171	(pow.f64 (.f64 (.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))
accuracy	45.709221526384034	#s(approx (* (* (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))
accuracy	0.2265625	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.3125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	15.131926437025772	(sqrt.f64 (*.f64 l h))
accuracy	45.709221526384034	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
accuracy	4.166038276173252	(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))
accuracy	5.709609762895867	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
accuracy	6.055519351966993	(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
accuracy	15.131926437025772	(sqrt.f64 (*.f64 l h))

Samples

120.0ms

256×

valid

Compiler

Compiled 467 to 61 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 34.0ms (36.6% of total)

ival-div: 17.0ms (18.3% of total)

ival-pow: 17.0ms (18.3% of total)

ival-sqrt: 8.0ms (8.6% of total)

ival-pow2: 5.0ms (5.4% of total)

ival-exp: 3.0ms (3.2% of total)

ival-log: 3.0ms (3.2% of total)

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

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

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

exact: 1.0ms (1.1% of total)

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

adjust: 0.0ms (0% of total)

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

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

series406.0ms (2.6%)

Memory

-8.7MiB live, 405.7MiB allocated; 83ms collecting garbage

Counts

26 → 92

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
116.0ms	d	@	0	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 2) (* (/ 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)) (* (* 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)))) (* (sqrt (pow (* (* l h) (* l h)) -1/2)) d) (sqrt (pow (* (* l h) (* l 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 (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* D (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* D (* (/ D d) (* (* M M) -1/8))) (* (sqrt (exp (neg (log (* l h))))) d) (exp (neg (log (* l h)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (exp (neg (log (* l h))))) (* M (/ (/ D d) 2)) (pow (* (* l h) (* l h)) -1/2) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (* (/ D d) (* (* M M) -1/8)) (log (* l h)))
66.0ms	h	@	-inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 2) (* (/ 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)) (* (* 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)))) (* (sqrt (pow (* (* l h) (* l h)) -1/2)) d) (sqrt (pow (* (* l h) (* l 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 (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* D (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* D (* (/ D d) (* (* M M) -1/8))) (* (sqrt (exp (neg (log (* l h))))) d) (exp (neg (log (* l h)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (exp (neg (log (* l h))))) (* M (/ (/ D d) 2)) (pow (* (* l h) (* l h)) -1/2) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (* (/ D d) (* (* M M) -1/8)) (log (* l h)))
35.0ms	d	@	-inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 2) (* (/ 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)) (* (* 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)))) (* (sqrt (pow (* (* l h) (* l h)) -1/2)) d) (sqrt (pow (* (* l h) (* l 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 (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* D (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* D (* (/ D d) (* (* M M) -1/8))) (* (sqrt (exp (neg (log (* l h))))) d) (exp (neg (log (* l h)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (exp (neg (log (* l h))))) (* M (/ (/ D d) 2)) (pow (* (* l h) (* l h)) -1/2) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (* (/ D d) (* (* M M) -1/8)) (log (* l h)))
34.0ms	h	@	inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 2) (* (/ 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)) (* (* 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)))) (* (sqrt (pow (* (* l h) (* l h)) -1/2)) d) (sqrt (pow (* (* l h) (* l 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 (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* D (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* D (* (/ D d) (* (* M M) -1/8))) (* (sqrt (exp (neg (log (* l h))))) d) (exp (neg (log (* l h)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (exp (neg (log (* l h))))) (* M (/ (/ D d) 2)) (pow (* (* l h) (* l h)) -1/2) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (* (/ D d) (* (* M M) -1/8)) (log (* l h)))
32.0ms	l	@	-inf	((* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (pow (* M (/ (/ D d) 2)) 2) (* (/ 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)) (* (* 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)))) (* (sqrt (pow (* (* l h) (* l h)) -1/2)) d) (sqrt (pow (* (* l h) (* l 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 (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* D (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* D (* (/ D d) (* (* M M) -1/8))) (* (sqrt (exp (neg (log (* l h))))) d) (exp (neg (log (* l h)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (exp (neg (log (* l h))))) (* M (/ (/ D d) 2)) (pow (* (* l h) (* l h)) -1/2) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (* (/ D d) (* (* M M) -1/8)) (log (* l h)))

simplify163.0ms (1%)

Memory

18.3MiB live, 212.8MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	1700
1	1028	1614
2	3921	1576
0	8336	1541

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 92

Calls

Call 1

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

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

rewrite184.0ms (1.2%)

Memory

18.4MiB live, 351.8MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	404
0	98	374
1	325	343
2	1831	338
0	8391	338

Stop Event

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

Counts

26 → 1 222

Calls

Call 1

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

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

eval176.0ms (1.1%)

Memory: 18.2MiB live, 287.3MiB allocated; 48ms collecting garbage
Compiler: Compiled 53 581 to 4 419 computations (91.8% saved)

prune175.0ms (1.1%)

Memory

-61.1MiB live, 157.3MiB allocated; 65ms collecting garbage

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	926	26	952
Fresh	17	14	31
Picked	4	1	5
Done	0	1	1
Total	947	42	989

Accuracy

93.9%

Counts

989 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.3%	(/.f64 (fma.f64 (/.f64 (fabs.f64 d) (sqrt.f64 l)) (.f64 l d) (.f64 (sqrt.f64 h) (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h) (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 h) (*.f64 l d)))
	30.0%	(/.f64 (fma.f64 (.f64 (.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 d l) (fabs.f64 d))) (.f64 (.f64 d l) (sqrt.f64 (*.f64 l h))))
▶	31.8%	(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d))) (sqrt.f64 (.f64 l h)) (.f64 l (fabs.f64 d))) (.f64 l (sqrt.f64 (*.f64 l h))))
▶	39.3%	(/.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 l h)))
	19.4%	(/.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	71.1%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal -1/2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	70.2%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 D M)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	59.2%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (neg.f64 D) M) (.f64 D M)) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	70.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal -2 binary64)) (/.f64 (.f64 (neg.f64 D) M) d))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
▶	72.1%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)) (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	56.4%	(.f64 (fma.f64 #s(approx ( -1/2 (pow (* M (/ (/ D d) 2)) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	63.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 h M) D) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	33.4%	(.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 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)))))
	66.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 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)))))
	37.0%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.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)))))
	55.6%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (.f64 M M) h) l) #s(literal 1 binary64))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
▶	24.0%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 h (.f64 d d))))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	41.3%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	24.2%	#s(approx (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ h l) (sqrt (* (/ d l) (/ d h))))) (sqrt (* (/ d l) (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	59.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	61.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 D (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) M) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	57.6%	#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 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) D) (.f64 (.f64 (/.f64 D d) #s(literal -1/8 binary64)) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	42.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) D) (.f64 (.f64 (/.f64 D d) #s(literal -1/8 binary64)) (.f64 M M))) h (.f64 h (.f64 (sqrt.f64 (/.f64 h l)) d))) (.f64 h h)))
	62.7%	#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 (.f64 (/.f64 D d) M) M) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) D (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	50.7%	#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)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	59.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal -1/8 binary64)))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	59.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal -1/8 binary64)))) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	23.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	38.5%	#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 (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
▶	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 d (sqrt.f64 (*.f64 l h))))
	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
✓	27.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) 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 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (sqrt.f64 (.f64 l h))))) d))
	36.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (fabs.f64 l)) (log.f64 (fabs.f64 h)))))) d))
	28.2%	#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 #s(approx (exp (neg (log ( l h)))) (*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 #s(literal -1 binary64) h)))) 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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	29.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (+ (* (* D (* (/ D d) (* (* M M) -1/8))) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (/.f64 (.f64 (neg.f64 M) M) d)) #s(literal 1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))))

Compiler

Compiled 3 796 to 2 448 computations (35.5% saved)

simplify115.0ms (0.7%)

Memory

16.0MiB live, 157.5MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h)
cost-diff	0	(.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)))
cost-diff	2	(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d))) (sqrt.f64 (.f64 l h)) (.f64 l (fabs.f64 d))) (.f64 l (sqrt.f64 (*.f64 l h))))
cost-diff	8	(fma.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d))) (sqrt.f64 (.f64 l h)) (*.f64 l (fabs.f64 d)))
cost-diff	0	(/.f64 h l)
cost-diff	0	(fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) d)
cost-diff	0	(/.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 l h)))
cost-diff	0	(.f64 (.f64 M M) #s(literal -1/8 binary64))
cost-diff	0	#s(approx (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 h (.f64 d d)))))
cost-diff	0	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 h (.f64 d d))))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
cost-diff	2	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 h (.f64 d d))))
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	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)) (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)))) (/.f64 h l) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)) (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
cost-diff	1	(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d))
cost-diff	6	(.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)) (/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	599
0	121	619
1	263	561
2	866	541
3	6017	539
0	8065	537

Stop Event

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

Calls

Call 1

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

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

localize230.0ms (1.5%)

Memory

31.0MiB live, 268.9MiB allocated; 19ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.994104867613398	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h)
accuracy	10.376256755456867	(.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)))
accuracy	14.858736514909094	(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d))) (sqrt.f64 (.f64 l h)) (.f64 l (fabs.f64 d))) (.f64 l (sqrt.f64 (*.f64 l h))))
accuracy	15.131926437025772	(sqrt.f64 (*.f64 l h))
accuracy	1.9861057290102704	(/.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 l h)))
accuracy	4.166038276173252	(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
accuracy	6.055519351966993	(fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy	15.131926437025772	(sqrt.f64 (*.f64 l h))
accuracy	12.164267921832094	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 h (.f64 d d))))
accuracy	15.131926437025772	(sqrt.f64 (*.f64 l h))
accuracy	15.410810339792103	(.f64 (/.f64 (.f64 D D) l) (/.f64 h (*.f64 d d)))
accuracy	30.759102313736197	#s(approx (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 h (.f64 d d)))))
accuracy	0.0	(*.f64 l h)
accuracy	0.19921875	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	15.131926437025772	(sqrt.f64 (*.f64 l h))
accuracy	45.709221526384034	#s(approx (* (* (pow (/ d 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	4.140922940386944	(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d))
accuracy	5.709609762895867	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)) (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
accuracy	6.055519351966993	(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)) (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)))) (/.f64 h l) #s(literal 1 binary64))
accuracy	15.131926437025772	(sqrt.f64 (*.f64 l h))

Samples

182.0ms

256×

valid

Compiler

Compiled 571 to 74 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-mult: 93.0ms (62.7% of total)

ival-div: 25.0ms (16.9% of total)

ival-pow: 10.0ms (6.7% of total)

ival-pow2: 9.0ms (6.1% of total)

ival-add: 5.0ms (3.4% of total)

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

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

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

exact: 1.0ms (0.7% of total)

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)

series224.0ms (1.4%)

Memory

-5.4MiB live, 222.0MiB allocated; 30ms collecting garbage

Counts

22 → 78

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
72.0ms	d	@	-inf	((* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d))) (/ (* D (/ M 2)) (neg d)) (* (+ (* (* -1/2 (* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d)))) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d)))) (/ h l)) 1) (* (* (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) (* (* (* M M) -1/8) (* (/ (* D D) l) (/ h (* d d)))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* (* M M) -1/8) (/ (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (sqrt (* l h))) (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) (/ h l) (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (/ (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (* l (sqrt (* l h)))) (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (* (/ (fabs d) (sqrt (* l h))) h) (* (/ (* D D) l) (/ h (* d d))) (* (/ (/ D d) 2) M))
27.0ms	l	@	0	((* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d))) (/ (* D (/ M 2)) (neg d)) (* (+ (* (* -1/2 (* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d)))) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d)))) (/ h l)) 1) (* (* (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) (* (* (* M M) -1/8) (* (/ (* D D) l) (/ h (* d d)))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* (* M M) -1/8) (/ (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (sqrt (* l h))) (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) (/ h l) (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (/ (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (* l (sqrt (* l h)))) (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (* (/ (fabs d) (sqrt (* l h))) h) (* (/ (* D D) l) (/ h (* d d))) (* (/ (/ D d) 2) M))
12.0ms	D	@	0	((* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d))) (/ (* D (/ M 2)) (neg d)) (* (+ (* (* -1/2 (* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d)))) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d)))) (/ h l)) 1) (* (* (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) (* (* (* M M) -1/8) (* (/ (* D D) l) (/ h (* d d)))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* (* M M) -1/8) (/ (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (sqrt (* l h))) (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) (/ h l) (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (/ (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (* l (sqrt (* l h)))) (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (* (/ (fabs d) (sqrt (* l h))) h) (* (/ (* D D) l) (/ h (* d d))) (* (/ (/ D d) 2) M))
9.0ms	l	@	-inf	((* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d))) (/ (* D (/ M 2)) (neg d)) (* (+ (* (* -1/2 (* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d)))) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d)))) (/ h l)) 1) (* (* (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) (* (* (* M M) -1/8) (* (/ (* D D) l) (/ h (* d d)))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* (* M M) -1/8) (/ (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (sqrt (* l h))) (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) (/ h l) (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (/ (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (* l (sqrt (* l h)))) (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (* (/ (fabs d) (sqrt (* l h))) h) (* (/ (* D D) l) (/ h (* d d))) (* (/ (/ D d) 2) M))
9.0ms	h	@	-inf	((* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d))) (/ (* D (/ M 2)) (neg d)) (* (+ (* (* -1/2 (* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d)))) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (* (/ (* D (/ M 2)) (neg d)) (/ (* D (/ M 2)) (neg d)))) (/ h l)) 1) (* (* (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) (* (* (* M M) -1/8) (* (/ (* D D) l) (/ h (* d d)))) (* (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (* (* M M) -1/8) (/ (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (sqrt (* l h))) (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) (/ h l) (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (/ (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (* l (sqrt (* l h)))) (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (* (/ (fabs d) (sqrt (* l h))) h) (* (/ (* D D) l) (/ h (* d d))) (* (/ (/ D d) 2) M))

simplify136.0ms (0.9%)

Memory

15.0MiB live, 205.2MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	1762
1	1112	1713
2	4556	1710
0	8036	1661

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 77

Calls

Call 1

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

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

rewrite180.0ms (1.1%)

Memory

-29.6MiB live, 309.2MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	399
0	121	378
1	410	368
2	2515	358
0	8619	357

Stop Event

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

Counts

22 → 1 172

Calls

Call 1

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

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

eval230.0ms (1.5%)

Memory: 0.7MiB live, 285.6MiB allocated; 50ms collecting garbage
Compiler: Compiled 52 439 to 4 910 computations (90.6% saved)

prune175.0ms (1.1%)

Memory

10.2MiB live, 253.5MiB allocated; 17ms collecting garbage

Pruning

56 alts after pruning (53 fresh and 3 done)

	Pruned	Kept	Total
New	1 255	32	1 287
Fresh	14	21	35
Picked	4	1	5
Done	0	2	2
Total	1 273	56	1 329

Accuracy

95.3%

Counts

1 329 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(/.f64 (fma.f64 (.f64 (.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) h) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d))) (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal 1/2 binary64))) (.f64 l (fabs.f64 d))) (.f64 l (sqrt.f64 (.f64 l h))))
	18.7%	(/.f64 (/.f64 (.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) M) M) (.f64 l d)) (/.f64 (.f64 (.f64 D D) h) d))) d) (sqrt.f64 l)) (sqrt.f64 h))
	33.2%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/4 binary64)) h) (/.f64 d (sqrt.f64 (.f64 l h)))) (sqrt.f64 (.f64 l h))) l) (sqrt.f64 (.f64 l h))) (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 l d) l))) (*.f64 l h))
	40.9%	(/.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 #s(approx (* (/ (/ D d) 2) M) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 l h)))
	19.4%	(/.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	16.2%	(/.f64 (.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) M) M) (.f64 l d)) (/.f64 (.f64 (.f64 D D) h) d))) d) (neg.f64 (sqrt.f64 (*.f64 l h))))
	35.7%	(/.f64 #s(approx (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fabs.f64 d) h) M) M) (/.f64 (.f64 D D) d)) #s(literal -1/4 binary64) (.f64 (fabs.f64 d) l))) (.f64 l (sqrt.f64 (.f64 l h))))
	29.3%	(/.f64 #s(approx (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (/.f64 (fma.f64 (.f64 (fabs.f64 d) d) l (.f64 (.f64 M M) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (fabs.f64 d)))) d)) (.f64 l (sqrt.f64 (*.f64 l h))))
	36.3%	(/.f64 #s(approx (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (/.f64 (fabs.f64 d) d) (.f64 M M)) (/.f64 (.f64 (fabs.f64 d) l) h)) h)) (.f64 l (sqrt.f64 (.f64 l h))))
	17.8%	(/.f64 #s(approx (+ (* (* (* (/ (fabs d) (sqrt (* l h))) h) (* -1/4 (/ (pow (* M D) 2) d))) (sqrt (* l h))) (* l (fabs d))) (.f64 (.f64 (.f64 (.f64 (.f64 (fabs.f64 d) h) M) M) (.f64 D D)) (/.f64 #s(literal -1/4 binary64) d))) (.f64 l (sqrt.f64 (.f64 l h))))
	31.1%	(/.f64 #s(approx (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (fma.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 M M) h) l) d)) (sqrt.f64 (*.f64 l h)))
	18.6%	(/.f64 #s(approx (* (+ (* (/ h l) (* (pow (* (/ (/ D d) 2) M) 2) -1/2)) 1) d) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 h d) (/.f64 (.f64 M M) l)))) (sqrt.f64 (.f64 l h)))
	73.4%	(.f64 (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal -2 binary64)) M) #s(literal -1/2 binary64))) (.f64 (/.f64 (/.f64 D d) #s(literal -2 binary64)) M) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	70.2%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (/.f64 D d) M) (.f64 D M)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	59.2%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (neg.f64 D) M) (.f64 D M)) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	72.1%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal -2 binary64) d)) (/.f64 (.f64 D (/.f64 M #s(literal 2 binary64))) (neg.f64 d)))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	56.4%	(.f64 (fma.f64 #s(approx ( -1/2 (pow (* M (/ (/ D d) 2)) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (/.f64 (.f64 M M) d) d))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	66.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 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)))))
	25.0%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/.f64 (.f64 (.f64 (/.f64 (.f64 D D) l) h) (.f64 (.f64 #s(literal -1/8 binary64) M) M)) (.f64 d d))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	28.7%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (/.f64 (.f64 (.f64 (.f64 D D) h) (.f64 (.f64 #s(literal -1/8 binary64) M) M)) (.f64 (.f64 l d) d))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	30.0%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 l d)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) M) M) d))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	30.7%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) M) M) (.f64 l d)) (/.f64 (.f64 (.f64 D D) h) d))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	29.2%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) M) M) l) (.f64 (/.f64 (.f64 D D) d) (/.f64 h d)))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	32.3%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 (/.f64 h (.f64 l d)) (/.f64 (.f64 D D) d)) M) (.f64 #s(literal -1/8 binary64) M))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	13.7%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 h (.f64 d d))))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
	32.6%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 D (.f64 l d)) (/.f64 (.f64 D h) d)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	32.6%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 D d) (/.f64 (.f64 (/.f64 D l) h) d)))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	25.7%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (.f64 (/.f64 h (.f64 d d)) D) (/.f64 D l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	27.3%	(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (.f64 D D) (/.f64 h (.f64 (.f64 l d) d))))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	37.4%	(.f64 d (/.f64 (fma.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) #s(literal 1 binary64)) (sqrt.f64 (.f64 l h))))
	24.2%	#s(approx (+ (* (/ (* (pow (* D M) 2) 1/2) (* -2 d)) (* (/ h l) (sqrt (* (/ d l) (/ d h))))) (sqrt (* (/ d l) (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	59.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	61.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 D (/.f64 (.f64 (.f64 (.f64 (/.f64 D d) M) M) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	42.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) D) (.f64 (.f64 (/.f64 D d) #s(literal -1/8 binary64)) (.f64 M M))) h (.f64 h (.f64 (sqrt.f64 (/.f64 h l)) d))) (.f64 h h)))
	62.7%	#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 (.f64 (/.f64 D d) M) M) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) D (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	50.7%	#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)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	59.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal -1/8 binary64)))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	59.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal -1/8 binary64)))) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	38.5%	#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 (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	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 d (sqrt.f64 (*.f64 l h))))
	23.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (.f64 (.f64 l h) (*.f64 l h))))))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (neg.f64 (sqrt.f64 (*.f64 l 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 d (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal 1/2 binary64)))))
	4.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l))) (sqrt.f64 (/.f64 d h))))
✓	27.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.4%	#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 D D) (.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	6.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 h)))))
	36.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (fabs.f64 l)) (log.f64 (fabs.f64 h)))))) d))
	28.2%	#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 #s(approx (exp (neg (log ( l h)))) (*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 #s(literal -1 binary64) h)))) 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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	29.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))

Compiler

Compiled 7 925 to 2 407 computations (69.6% saved)

regimes309.0ms (2%)

Memory

-8.8MiB live, 458.0MiB allocated; 46ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

7 calls:

61.0ms	d
46.0ms	(*.f64 M D)
43.0ms	(.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))))
34.0ms	D
33.0ms	M

Results

Accuracy	Segments	Branch
76.8%	3	`(*.f64 M D)`
80.0%	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))))`
81.2%	3	`d`
78.4%	2	`h`
78.4%	2	`l`
75.5%	2	`M`
73.4%	1	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes144.0ms (0.9%)

Memory

3.9MiB live, 112.7MiB allocated; 12ms collecting garbage

Counts

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

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

Calls

4 calls:

53.0ms	(.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))))
37.0ms	l
24.0ms	d
24.0ms	h

Results

Accuracy	Segments	Branch
81.4%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
76.3%	2	`h`
79.1%	3	`l`
78.7%	3	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes36.0ms (0.2%)

Memory

-12.1MiB live, 33.3MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

31.0ms

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

Results

Accuracy	Segments	Branch
79.7%	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)

regimes37.0ms (0.2%)

Memory

31.2MiB live, 31.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

3 calls:

12.0ms

10.0ms

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

Results

Accuracy	Segments	Branch
72.1%	1	`d`
75.5%	3	`l`
78.5%	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 37 to 32 computations (13.5% saved)

regimes13.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
78.1%	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)

regimes61.0ms (0.4%)

Memory

-0.0MiB live, 46.6MiB allocated; 1ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

4 calls:

26.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
11.0ms	M
11.0ms	h
10.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
70.2%	1	`(*.f64 M D)`
72.3%	2	`M`
70.2%	1	`h`
76.5%	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 40 to 38 computations (5% saved)

regimes127.0ms (0.8%)

Memory

-34.7MiB live, 63.3MiB allocated; 6ms collecting garbage

Counts

42 → 5

Calls

Call 1

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

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

Calls

7 calls:

50.0ms	h
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))))
11.0ms	D
11.0ms	l
11.0ms	d

Results

Accuracy	Segments	Branch
69.9%	3	`(*.f64 M D)`
65.1%	4	`h`
66.1%	3	`M`
68.5%	4	`d`
67.8%	4	`l`
65.1%	2	`D`
76.3%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes11.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

37 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
75.9%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes10.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

34 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
75.1%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes8.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

28 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

(*.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
75.0%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes36.0ms (0.2%)

Memory

-26.4MiB live, 20.3MiB allocated; 2ms collecting garbage

Counts

26 → 5

Calls

Call 1

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

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

Calls

2 calls:

27.0ms

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

7.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
59.9%	2	`(*.f64 M D)`
71.2%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes7.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

23 → 5

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
70.3%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes76.0ms (0.5%)

Memory

18.5MiB live, 64.8MiB allocated; 1ms collecting garbage

Counts

22 → 5

Calls

Call 1

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

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

Calls

7 calls:

39.0ms	l
6.0ms	D
6.0ms	M
6.0ms	d
6.0ms	h

Results

Accuracy	Segments	Branch
52.0%	2	`(*.f64 M D)`
54.4%	3	`h`
50.3%	2	`M`
56.2%	4	`l`
47.8%	4	`D`
58.4%	5	`d`
62.4%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes6.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

19 → 5

Calls

Call 1

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
59.0%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes21.0ms (0.1%)

Memory

-41.2MiB live, 10.3MiB allocated; 4ms collecting garbage

Counts

15 → 5

Calls

Call 1

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

Calls

3 calls:

10.0ms

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

4.0ms

Results

Accuracy	Segments	Branch
50.5%	3	`l`
49.6%	4	`d`
57.7%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes18.0ms (0.1%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

Counts

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

Calls

5 calls:

3.0ms	M
3.0ms	h
3.0ms	l
3.0ms	(*.f64 M D)
3.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
46.8%	3	`l`
43.6%	2	`M`
44.0%	2	`(*.f64 M D)`
45.2%	2	`h`
50.2%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes21.0ms (0.1%)

Memory

-34.8MiB live, 11.3MiB allocated; 2ms 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 d (neg.f64 (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 M) 2) 1/2) (* -2 d)) (* (/ h l) (sqrt (* (/ d l) (/ d h))))) (sqrt (* (/ d l) (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
(.f64 #s(approx (+ ( (* -1/2 (pow (* M (/ (/ D d) 2)) 2)) (/ h l)) 1) #s(literal 1 binary64)) (/.f64 (fabs.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 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))

Outputs

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

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

Calls

2 calls:

18.0ms

3.0ms

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

Results

Accuracy	Segments	Branch
44.3%	2	`d`
45.3%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes35.0ms (0.2%)

Memory

-3.5MiB live, 42.0MiB allocated; 2ms collecting garbage

Counts

7 → 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 d (neg.f64 (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 M) 2) 1/2) (* -2 d)) (* (/ h l) (sqrt (* (/ d l) (/ d h))))) (sqrt (* (/ d l) (/ d h)))) (.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 d (neg.f64 (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 d (sqrt.f64 (*.f64 l h))))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
27.8%	1	`M`
31.0%	3	`(*.f64 M D)`
41.8%	2	`d`
29.8%	2	`D`
41.3%	2	`h`
42.9%	2	`l`
31.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes8.0ms (0%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
27.5%	1	`M`
27.5%	1	`(*.f64 M D)`
27.5%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
27.5%	1	`D`
27.5%	1	`h`
27.5%	1	`d`
27.5%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch219.0ms (1.4%)

Memory

-11.6MiB live, 226.7MiB allocated; 16ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
86.0ms	1.540548519719603e-171	1.931369027939861e-150
115.0ms	-3.647853902493409e-302	2.648674905452038e-301

Samples

101.0ms	315×	0	invalid
52.0ms	336×	0	valid

Compiler

Compiled 1 354 to 1 118 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 55.0ms (54.3% of total)

ival-div: 21.0ms (20.8% of total)

ival-pow: 14.0ms (13.8% of total)

ival-pow2: 6.0ms (5.9% of total)

ival-sub: 3.0ms (3% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202
0.0ms	-1.0506524917906914e+210	-2.4055738217359592e+208

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.616458034210944e+290	+inf
0.0ms	0.0	4.502197781353862e-258

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	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.616458034210944e+290	+inf
0.0ms	0.0	4.502197781353862e-258

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202
0.0ms	-1.8698033942326536e+71	-7.220292490111664e+27

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202
0.0ms	-6.584349468475627e-111	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202
0.0ms	-6.584349468475627e-111	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202
0.0ms	-6.584349468475627e-111	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202
0.0ms	-6.584349468475627e-111	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202
0.0ms	-6.584349468475627e-111	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202
0.0ms	-6.584349468475627e-111	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	6.616458034210944e+290	+inf
0.0ms	2.642588270167537e-229	5.039051814786989e-202
0.0ms	-6.584349468475627e-111	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	8.984009889854703e+97	3.347674553959682e+106
0.0ms	1.337587992388072e-156	1.8652118084047022e-143
0.0ms	-6.584349468475627e-111	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	8.984009889854703e+97	3.347674553959682e+106
0.0ms	1.337587992388072e-156	1.8652118084047022e-143
0.0ms	-1.3601199046581169e-83	-6.584349468475627e-111

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3601199046581169e-83	-6.584349468475627e-111

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch84.0ms (0.5%)

Memory

3.2MiB live, 60.5MiB allocated; 39ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
77.0ms	-1.372298938170081e-264	-1.5673475882093143e-269

Samples

45.0ms	136×	0	invalid
23.0ms	144×	0	valid

Compiler

Compiled 803 to 525 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-pow: 34.0ms (58.9% of total)

ival-div: 10.0ms (17.3% of total)

ival-mult: 9.0ms (15.6% of total)

ival-pow2: 3.0ms (5.2% of total)

ival-sub: 1.0ms (1.7% 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)

simplify105.0ms (0.7%)

Memory

2.4MiB live, 96.9MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	4466
1	403	4466
2	735	4466
3	3380	4466

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 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))))) (if (<=.f64 d #s(literal 7614394265021173/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) (/.f64 (.f64 (fma.f64 (/.f64 h l) (.f64 (pow.f64 #s(approx ( (/ (/ D d) 2) M) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 l h))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 l))) (sqrt.f64 h))))
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Outputs
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derivations1.7s (10.8%)

Memory

3.8MiB live, 1 495.2MiB allocated; 306ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	1650
1	858	1539
2	3501	1502
0	8704	1465
0	79	384
0	133	375
1	371	342
2	2149	336
0	8392	331
0	308	1700
1	1028	1614
2	3921	1576
0	8336	1541
0	63	404
0	98	374
1	325	343
2	1831	338
0	8391	338
0	147	635
1	444	594
2	1805	575
3	6314	574
0	8627	558
0	319	1762
1	1112	1713
2	4556	1710
0	8036	1661
0	22	72
0	38	68
1	110	67
2	610	67
3	7910	67
0	8018	65
0	76	399
0	121	378
1	410	368
2	2515	358
0	8619	357

Stop Event

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

Compiler

Compiled 4 658 to 288 computations (93.8% saved)

preprocess172.0ms (1.1%)

Memory

45.4MiB live, 231.0MiB allocated; 16ms collecting garbage

Remove

(sort M D)

(abs M)

(abs D)

Compiler

Compiled 10 808 to 1 070 computations (90.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze736.0ms (4.7%)

sample6.5s (41.4%)

explain356.0ms (2.3%)

preprocess168.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify159.0ms (1%)

localize77.0ms (0.5%)

series90.0ms (0.6%)

simplify151.0ms (1%)

rewrite242.0ms (1.5%)

eval56.0ms (0.4%)

prune35.0ms (0.2%)

simplify165.0ms (1%)

localize327.0ms (2.1%)

series168.0ms (1.1%)

simplify118.0ms (0.8%)

rewrite233.0ms (1.5%)

eval139.0ms (0.9%)

prune63.0ms (0.4%)

simplify109.0ms (0.7%)

localize172.0ms (1.1%)

series406.0ms (2.6%)

simplify163.0ms (1%)

rewrite184.0ms (1.2%)

eval176.0ms (1.1%)

prune175.0ms (1.1%)

simplify115.0ms (0.7%)

localize230.0ms (1.5%)

series224.0ms (1.4%)

simplify136.0ms (0.9%)

rewrite180.0ms (1.1%)

eval230.0ms (1.5%)

prune175.0ms (1.1%)

regimes309.0ms (2%)

regimes144.0ms (0.9%)

regimes36.0ms (0.2%)

regimes37.0ms (0.2%)

regimes13.0ms (0.1%)

regimes61.0ms (0.4%)

regimes127.0ms (0.8%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes36.0ms (0.2%)

regimes7.0ms (0%)

regimes76.0ms (0.5%)

regimes6.0ms (0%)

regimes21.0ms (0.1%)

regimes18.0ms (0.1%)

regimes21.0ms (0.1%)

regimes35.0ms (0.2%)

regimes8.0ms (0%)

bsearch219.0ms (1.4%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch84.0ms (0.5%)

simplify105.0ms (0.7%)

derivations1.7s (10.8%)

preprocess172.0ms (1.1%)

end0.0ms (0%)

Profiling