Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze497.0ms (3.2%)

Memory

6.9MiB live, 872.4MiB allocated; 140ms 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)

sample6.8s (43.2%)

Memory

-23.0MiB live, 7 581.7MiB allocated; 2.4s collecting garbage

Samples

3.2s	13 335×	0	invalid
1.9s	8 256×	0	valid

Precisions

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

ival-div: 1.2s (36.9% of total)

ival-mult: 912.0ms (27.5% of total)

ival-pow: 693.0ms (20.9% of total)

ival-pow2: 309.0ms (9.3% of total)

ival-sub: 120.0ms (3.6% of total)

exact: 23.0ms (0.7% of total)

ival-true: 19.0ms (0.6% of total)

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

adjust: 7.0ms (0.2% of total)

Bogosity

explain423.0ms (2.7%)

Memory

-21.8MiB live, 747.3MiB allocated; 51ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
69	-	2	(-1.1891025342493424e-113 -2.291504197956113e+204 -8.573390883636735e+207 -2.874066691422306e+206 1.635559286403349e-234)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
66	-	4	(-1.1891025342493424e-113 -2.291504197956113e+204 -8.573390883636735e+207 -2.874066691422306e+206 1.635559286403349e-234)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
44	-	2	(-2.496074981305213e-202 -3.122543493502406e+51 -1.8351845081432414e-171 4.661193754685682e-149 1.2086100608096726e-213)	`(.f64 (.f64 (/.f64 #s(literal 1 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	(5.4657438426943805e-164 2.8468492268601732e-233 2.0144871936308404e-202 -4.5832518034463624e-164 -7.098534399613958e-148)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
23	-	2	(-1.1891025342493424e-113 -2.291504197956113e+204 -8.573390883636735e+207 -2.874066691422306e+206 1.635559286403349e-234)	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	37	0
↳	`(/.f64 d h)`	overflow	37
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	35	0
↳	`(/.f64 d l)`	overflow	35
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	32	0
↳	`(/.f64 d l)`	underflow	32
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	25	0
↳	`(/.f64 d h)`	underflow	25
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	13	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	13	0
↳	`(/.f64 d h)`	underflow	25
↳	`(/.f64 d l)`	underflow	32
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	19
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	79
↳	`(.f64 (/.f64 #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	79
↳	`(/.f64 h l)`	overflow	34
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	81
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	81
↳	`(*.f64 M D)`	overflow	28
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	39
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	10	0
↳	`(*.f64 M D)`	overflow	28
`*.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**	6	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))`	*ou**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	79
↳	`(.f64 (/.f64 #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	79
↳	`(*.f64 M D)`	overflow	28
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	39
↳	`(/.f64 h l)`	underflow	32
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	75
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	75
↳	`(*.f64 M D)`	underflow	30
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	37
↳	`(/.f64 h l)`	overflow	34
`*.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**	2	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	30

Confusion

	Predicted +	Predicted -
+	81	3
-	38	134

Precision

0.680672268907563

Recall

0.9642857142857143

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	3
-	38	0	134

Precision?

0.680672268907563

Recall?

0.9642857142857143

Freqs

test

number	freq
0	137
1	72
2	30
3	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

132.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-pow: 41.0ms (39.1% of total)

ival-div: 37.0ms (35.3% of total)

ival-mult: 18.0ms (17.2% of total)

ival-pow2: 5.0ms (4.8% of total)

ival-sub: 3.0ms (2.9% of total)

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

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

preprocess230.0ms (1.5%)

Memory

45.0MiB live, 221.4MiB allocated; 60ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

68.4%

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify125.0ms (0.8%)

Memory

13.3MiB live, 100.2MiB allocated; 16ms 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)

localize158.0ms (1%)

Memory

-6.6MiB live, 93.8MiB allocated; 36ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.358241400168674	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	9.878170589997618	(.f64 (.f64 (/.f64 #s(literal 1 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	15.015445273657257	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	16.148865819039543	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

144.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 27.0ms (53.6% of total)

ival-pow: 10.0ms (19.9% of total)

ival-div: 9.0ms (17.9% of total)

ival-pow2: 3.0ms (6% of total)

ival-sub: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.4%)

Memory

-20.7MiB live, 67.8MiB allocated; 18ms 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
17.0ms	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)))))
6.0ms	M	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
6.0ms	l	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
4.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify160.0ms (1%)

Memory

18.6MiB live, 204.9MiB allocated; 23ms 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))

rewrite157.0ms (1%)

Memory

15.9MiB live, 194.4MiB allocated; 25ms 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))))
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(fma.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)))))
(fma.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)))))
(fma.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))))))
(fma.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))))
(fma.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))) #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 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))) (.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 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))) (.f64 (.f64 (.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 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (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 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (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 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (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 (/.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)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
(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)))))

eval99.0ms (0.6%)

Memory: -50.4MiB live, 120.0MiB allocated; 81ms collecting garbage
Compiler: Compiled 17 710 to 1 295 computations (92.7% saved)

prune39.0ms (0.3%)

Memory

46.4MiB live, 93.1MiB allocated; 4ms collecting garbage

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	355	34	389
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	356	34	390

Accuracy

90.1%

Counts

390 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.2%	(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))))
	26.7%	(fma.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))))))
	16.2%	(/.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 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	34.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	16.0%	(/.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)))
	32.2%	(/.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 h))) (sqrt.f64 d)) (sqrt.f64 l))
	26.8%	(-.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)))))
	39.7%	(.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))))
	44.8%	(.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.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)))))
	44.9%	(.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)))
	68.2%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	47.0%	(.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)))) (fma.f64 h (/.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) l) #s(literal 1 binary64)))
	58.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) (.f64 #s(literal -2 binary64) d))))
	66.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 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)))))
▶	59.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d))))
	58.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 M M)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)))))
	50.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 h (/.f64 (.f64 D D) d))) (*.f64 M M) #s(literal 1 binary64))))
	26.4%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))))
	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)))
	32.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	68.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	34.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	43.0%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	68.2%	(.f64 (.f64 (.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)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	40.4%	#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))
	18.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
▶	24.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (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)))
	2.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.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))
▶	26.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (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))
	15.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	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 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #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 2 830 to 1 872 computations (33.9% saved)

simplify116.0ms (0.7%)

Memory

-28.2MiB live, 158.7MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	750
0	142	735
1	259	735
2	768	735
3	4585	727
0	8330	722

Stop Event

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

Calls

Call 1

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

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

localize236.0ms (1.5%)

Memory

-14.5MiB live, 420.5MiB allocated; 61ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.163049527951195	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
accuracy	11.254614575209104	(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)))
accuracy	15.015445273657257	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	16.148865819039543	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	12.186995742663493	(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d))
accuracy	14.632582903412516	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d))
accuracy	21.27278917742973	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l)))
accuracy	22.367075384056896	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h)))
accuracy	14.73480108931456	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	18.796902105393016	(.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))
accuracy	20.309234516122295	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	28.315495952535574	#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)))
accuracy	0.23046875	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.4087998749682494	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	14.73480108931456	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	44.80125432934661	#s(approx (* (* (pow (/ 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	5.358241400168674	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	9.878170589997618	(.f64 (.f64 (/.f64 #s(literal 1 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	15.015445273657257	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	16.148865819039543	(sqrt.f64 (/.f64 d l))

Samples

154.0ms

256×

valid

Compiler

Compiled 731 to 70 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 52.0ms (44% of total)

ival-div: 29.0ms (24.5% of total)

ival-pow: 20.0ms (16.9% of total)

ival-sqrt: 8.0ms (6.8% of total)

ival-pow2: 3.0ms (2.5% of total)

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

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

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series183.0ms (1.2%)

Memory

10.8MiB live, 246.0MiB allocated; 44ms collecting garbage

Counts

24 → 81

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	M	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (* D D)) (+ (* (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (* (/ (* M M) d) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (pow (/ d l) (/ 1 2)) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ h (pow l 3))) (sqrt (/ 1 (* (pow l 3) h))) (sqrt (/ 1 (* (pow h 3) l))) (* (/ D 2) (* (/ M d) M)))
27.0ms	D	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (* D D)) (+ (* (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (* (/ (* M M) d) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (pow (/ d l) (/ 1 2)) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ h (pow l 3))) (sqrt (/ 1 (* (pow l 3) h))) (sqrt (/ 1 (* (pow h 3) l))) (* (/ D 2) (* (/ M d) M)))
18.0ms	d	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (* D D)) (+ (* (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (* (/ (* M M) d) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (pow (/ d l) (/ 1 2)) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ h (pow l 3))) (sqrt (/ 1 (* (pow l 3) h))) (sqrt (/ 1 (* (pow h 3) l))) (* (/ D 2) (* (/ M d) M)))
11.0ms	l	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (* D D)) (+ (* (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (* (/ (* M M) d) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (pow (/ d l) (/ 1 2)) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ h (pow l 3))) (sqrt (/ 1 (* (pow l 3) h))) (sqrt (/ 1 (* (pow h 3) l))) (* (/ D 2) (* (/ M d) M)))
10.0ms	d	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (* D D)) (+ (* (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (* (/ (* M M) d) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) h) (+ (* (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (* (* -1/8 (* M M)) (/ (* D D) d)) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (pow (/ d l) (/ 1 2)) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ h (pow l 3))) (sqrt (/ 1 (* (pow l 3) h))) (sqrt (/ 1 (* (pow h 3) l))) (* (/ D 2) (* (/ M d) M)))

simplify151.0ms (1%)

Memory

42.5MiB live, 252.3MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	1766
1	867	1630
2	3626	1603
0	8277	1565

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 81

Calls

Call 1

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

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

rewrite406.0ms (2.6%)

Memory

-11.7MiB live, 431.2MiB allocated; 129ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	436
0	131	427
1	356	401
2	1931	393
0	8454	388

Stop Event

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

Counts

24 → 885

Calls

Call 1

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

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

eval346.0ms (2.2%)

Memory: -0.1MiB live, 278.6MiB allocated; 37ms collecting garbage
Compiler: Compiled 70 642 to 4 840 computations (93.1% saved)

prune144.0ms (0.9%)

Memory

26.8MiB live, 258.7MiB allocated; 26ms collecting garbage

Pruning

51 alts after pruning (50 fresh and 1 done)

	Pruned	Kept	Total
New	981	42	1 023
Fresh	21	8	29
Picked	4	1	5
Done	0	0	0
Total	1 006	51	1 057

Accuracy

93.1%

Counts

1 057 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)))
	34.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	16.0%	(/.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)))
▶	56.9%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	66.7%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	68.2%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 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))))
	66.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 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)))))
	59.4%	(.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 (/.f64 M d) M) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)))) (/.f64 D d))))
	58.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(approx ( (/ D 2) (* (/ M d) M)) (.f64 (.f64 (/.f64 (*.f64 M M) d) D) #s(literal 1/2 binary64)))) (/.f64 D d))))
	61.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 D (.f64 (/.f64 (.f64 h (/.f64 (.f64 M M) l)) d) #s(literal 1/4 binary64)))) (/.f64 D d))))
	32.5%	(.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))))
▶	27.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.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))))
▶	68.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
	59.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d))))
	36.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	34.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	68.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	40.4%	#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))
	8.4%	#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 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) D) (/.f64 d D)) (.f64 D D)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 M d)) M)) (.f64 D D)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) D) (/.f64 d D)) (.f64 D D)) (.f64 (.f64 (/.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) D) (/.f64 d D)) (.f64 D D)) (-.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 M d)) M)) (.f64 D D)) (.f64 (.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 M d)) M)) (.f64 D D))) (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) D) (/.f64 d D)) (.f64 D D)) (.f64 (.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 M d)) M)) (.f64 D D)))))))
	28.3%	#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 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h))))
	29.3%	#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 (pow.f64 l #s(literal -3/2 binary64)) (/.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
	31.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 M d)) M) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l)) (.f64 (/.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) D) (/.f64 d D))) (.f64 D D)))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 h (.f64 l l))) (sqrt.f64 l)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 D D)))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D)))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 M d) (.f64 #s(literal -1/8 binary64) 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)))
	25.8%	#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 #s(literal -1/8 binary64) M) (.f64 M (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (/.f64 (.f64 D D) d))) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d))
	4.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
▶	28.3%	#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 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (.f64 l h))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (*.f64 l h))) #s(literal 1/2 binary64)))) d))
	31.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 M d)) M) (.f64 (/.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) D) (/.f64 d D))) D) D))
	15.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	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 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	23.7%	#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 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
▶	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 l h)) #s(literal -2 binary64))) d))
	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
	28.0%	#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 (pow.f64 h #s(literal -1 binary64)) l)) d))
✓	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #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)))))
	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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	33.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 M M) d) #s(literal -1/8 binary64)))) h)) (*.f64 D D)))
	15.5%	#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 (+ ( (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (.f64 (/.f64 (/.f64 (neg.f64 d) D) D) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D)))
	16.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 D D)))
	27.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (/.f64 (.f64 M M) d)))) h))
	20.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	13.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
	13.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))))))

Compiler

Compiled 5 316 to 3 300 computations (37.9% saved)

simplify161.0ms (1%)

Memory

-14.6MiB live, 132.9MiB allocated; 51ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	545
0	114	536
1	208	527
2	529	527
3	3574	527
4	6882	527
0	8105	525

Stop Event

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

Calls

Call 1

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

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

localize261.0ms (1.7%)

Memory

19.7MiB live, 347.9MiB allocated; 62ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.105611170437239	(.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 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d))))
accuracy	3.6357025178623528	(.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M))
accuracy	4.806301479053214	(.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)))
accuracy	7.008500584620353	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	2.20927242123817	(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
accuracy	3.1056971565774236	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
accuracy	3.6133096646788325	(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
accuracy	9.831378785362636	(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
accuracy	0.1692962890737681	(pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -2 binary64))
accuracy	7.16672064785722	(sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -2 binary64)))
accuracy	7.354231001931347	(sqrt.f64 (*.f64 l h))
accuracy	27.099732266190717	#s(approx (* (* (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 (sqrt.f64 (.f64 l h)) #s(literal -2 binary64))) d))
accuracy	0.08203125	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.14453125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	7.354231001931347	(sqrt.f64 (*.f64 l h))
accuracy	27.099732266190717	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
accuracy	3.1056971565774236	(.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 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
accuracy	3.9345039553845558	(/.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)
accuracy	7.008500584620353	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	9.625032964176084	(sqrt.f64 (/.f64 d l))

Samples

74.0ms	137×	0	invalid
66.0ms	119×	0	valid

Compiler

Compiled 558 to 66 computations (88.2% saved)

Precisions

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

ival-mult: 39.0ms (38.8% of total)

ival-div: 20.0ms (19.9% of total)

ival-pow: 17.0ms (16.9% of total)

ival-sqrt: 10.0ms (9.9% of total)

ival-pow2: 5.0ms (5% of total)

ival-sub: 4.0ms (4% of total)

ival-neg: 2.0ms (2% of total)

ival-add: 1.0ms (1% 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)

series122.0ms (0.8%)

Memory

-4.3MiB live, 229.1MiB allocated; 42ms collecting garbage

Counts

24 → 70

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	d	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (sqrt (* l h)) -2)) d) (sqrt (pow (sqrt (* l h)) -2)) (pow (sqrt (* l h)) -2) (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (pow (* (/ (/ D d) 2) M) 2) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d)))) (sqrt (/ d l)) (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l) (sqrt (* (/ d l) (/ d h))) (* (/ (/ D d) 2) M) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (* (/ D 2) (* (/ M d) M)))
10.0ms	d	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (sqrt (* l h)) -2)) d) (sqrt (pow (sqrt (* l h)) -2)) (pow (sqrt (* l h)) -2) (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (pow (* (/ (/ D d) 2) M) 2) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d)))) (sqrt (/ d l)) (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l) (sqrt (* (/ d l) (/ d h))) (* (/ (/ D d) 2) M) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (* (/ D 2) (* (/ M d) M)))
10.0ms	M	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (sqrt (* l h)) -2)) d) (sqrt (pow (sqrt (* l h)) -2)) (pow (sqrt (* l h)) -2) (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (pow (* (/ (/ D d) 2) M) 2) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d)))) (sqrt (/ d l)) (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l) (sqrt (* (/ d l) (/ d h))) (* (/ (/ D d) 2) M) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (* (/ D 2) (* (/ M d) M)))
10.0ms	h	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (sqrt (* l h)) -2)) d) (sqrt (pow (sqrt (* l h)) -2)) (pow (sqrt (* l h)) -2) (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (pow (* (/ (/ D d) 2) M) 2) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d)))) (sqrt (/ d l)) (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l) (sqrt (* (/ d l) (/ d h))) (* (/ (/ D d) 2) M) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (* (/ D 2) (* (/ M d) M)))
8.0ms	D	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (sqrt (* l h)) -2)) d) (sqrt (pow (sqrt (* l h)) -2)) (pow (sqrt (* l h)) -2) (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (pow (* (/ (/ D d) 2) M) 2) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d)))) (sqrt (/ d l)) (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l) (sqrt (* (/ d l) (/ d h))) (* (/ (/ D d) 2) M) (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (* (/ D 2) (* (/ M d) M)))

simplify198.0ms (1.3%)

Memory

-20.3MiB live, 195.2MiB allocated; 125ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	1412
1	730	1324
2	2934	1289
0	8579	1251

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 70

Calls

Call 1

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

rewrite236.0ms (1.5%)

Memory

-12.7MiB live, 324.4MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	343
0	114	327
1	331	311
2	1768	305
0	8304	305

Stop Event

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

Counts

24 → 992

Calls

Call 1

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

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

eval155.0ms (1%)

Memory: 47.7MiB live, 267.1MiB allocated; 42ms collecting garbage
Compiler: Compiled 47 400 to 4 610 computations (90.3% saved)

prune144.0ms (0.9%)

Memory

-29.2MiB live, 221.0MiB allocated; 48ms collecting garbage

Pruning

55 alts after pruning (53 fresh and 2 done)

	Pruned	Kept	Total
New	1 036	33	1 069
Fresh	25	20	45
Picked	4	1	5
Done	0	1	1
Total	1 065	55	1 120

Accuracy

93.2%

Counts

1 120 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) M) #s(literal 1/2 binary64)) (/.f64 h l)) (/.f64 D d))) (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d h)))) (sqrt.f64 (neg.f64 l)))
	16.0%	(/.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)))
▶	71.0%	(.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)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	43.8%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 l)) (sqrt.f64 h)))
	66.7%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
	38.1%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d (*.f64 l h)))))
	32.6%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(approx (sqrt ( (/ d l) (/ d h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
	43.8%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (neg.f64 M) D) (.f64 M D)) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 d #s(literal 2 binary64))))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	55.7%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 M (/.f64 D d)) (.f64 M D)) (.f64 #s(literal 2 binary64) (.f64 d #s(literal 2 binary64))))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	57.4%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 M (/.f64 D #s(literal 2 binary64))) (neg.f64 d)) (/.f64 (.f64 M (/.f64 D #s(literal 2 binary64))) (neg.f64 d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	55.8%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M #s(literal 2 binary64)) (.f64 (/.f64 D d) (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	44.2%	(.f64 (fma.f64 #s(approx ( -1/2 (pow (* (/ (/ D d) 2) M) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (.f64 D D) d) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	67.0%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) M) #s(literal 1/2 binary64)) (/.f64 h l)) (/.f64 D d))))
	68.2%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 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))))
	68.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
	61.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 D (.f64 (/.f64 (.f64 h (/.f64 (.f64 M M) l)) d) #s(literal 1/4 binary64)))) (/.f64 D d))))
	32.5%	(.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))))
▶	31.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 D (.f64 (/.f64 (.f64 h (/.f64 (.f64 M M) l)) d) #s(literal 1/4 binary64)))) (/.f64 D d))))
	55.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 (neg.f64 M) D) (.f64 M D)) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 d #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) h)) l)))
	57.7%	(.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 (.f64 D D) (.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 M (.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) h)) l)))
	58.0%	(.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 (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 M M) (.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	68.2%	(.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 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	31.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d))))
	61.8%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) M) #s(literal 1/2 binary64)) (/.f64 h l)) (/.f64 D d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	27.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d))))
	68.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
	68.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	48.8%	(.f64 #s(approx (+ ( (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 h (/.f64 (.f64 M M) l)) d) d) d)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
▶	45.9%	(.f64 #s(approx (+ ( (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (/.f64 (.f64 D D) d) d) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	24.2%	#s(approx (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	40.4%	#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))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
▶	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	29.3%	#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 (pow.f64 l #s(literal -3/2 binary64)) (/.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D)))
	24.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 M d) (.f64 #s(literal -1/8 binary64) 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)))
	25.8%	#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 #s(literal -1/8 binary64) M) (.f64 M (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (/.f64 (.f64 D D) d))) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d))
	4.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	27.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 l h)))) d))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	28.3%	#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 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	24.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (/.f64 d (neg.f64 (sqrt.f64 h)))))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (.f64 l h))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (*.f64 l h))) #s(literal 1/2 binary64)))) d))
	31.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 M d)) M) (.f64 (/.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) D) (/.f64 d D))) D) D))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 (.f64 l h))))) d))
✓	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 l h)) (neg.f64 (sqrt.f64 (.f64 l h)))))) d))
	27.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	15.5%	#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 (+ ( (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (.f64 (/.f64 (/.f64 (neg.f64 d) D) D) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D)))
	16.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 D D)))
	20.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	13.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
▶	15.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (.f64 (.f64 (.f64 (.f64 (*.f64 D D) M) (/.f64 M d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	13.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 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))))))

Compiler

Compiled 4 778 to 3 232 computations (32.4% saved)

simplify166.0ms (1.1%)

Memory

0.3MiB live, 186.5MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	719
0	161	711
1	322	709
2	830	709
3	4768	709
0	8256	709

Stop Event

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

Calls

Call 1

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

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

localize288.0ms (1.8%)

Memory

18.8MiB live, 399.4MiB allocated; 44ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.8848504156045935	(/.f64 (.f64 h (/.f64 (.f64 M M) l)) d)
accuracy	3.105611170437239	(.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 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 D (.f64 (/.f64 (.f64 h (/.f64 (.f64 M M) l)) d) #s(literal 1/4 binary64)))) (/.f64 D d))))
accuracy	4.305173971287101	(/.f64 (*.f64 M M) l)
accuracy	7.008500584620353	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	3.5364193415591774	(.f64 (.f64 D D) M)
accuracy	7.154793889787568	(.f64 (.f64 (.f64 (.f64 (*.f64 D D) M) (/.f64 M d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
accuracy	9.433567865237276	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	12.996810162667462	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (.f64 (.f64 (.f64 (.f64 (*.f64 D D) M) (/.f64 M d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
accuracy	3.1056971565774236	(.f64 #s(approx (+ ( (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (/.f64 (.f64 D D) d) d) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
accuracy	3.569254197769475	(/.f64 (*.f64 D D) d)
accuracy	7.084443587255593	(.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (/.f64 (.f64 D D) d) d) l))
accuracy	9.831378785362636	(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
accuracy	0.0	(*.f64 l h)
accuracy	0.08984375	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	7.354231001931347	(sqrt.f64 (*.f64 l h))
accuracy	27.099732266190717	#s(approx (* (* (pow (/ 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	2.20927242123817	(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))
accuracy	3.1056971565774236	(.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)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
accuracy	3.6133096646788325	(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))
accuracy	7.354231001931347	(sqrt.f64 (*.f64 l h))

Samples

129.0ms	119×	0	valid
87.0ms	137×	0	invalid

Compiler

Compiled 611 to 95 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 80.0ms (47.7% of total)

ival-div: 41.0ms (24.4% of total)

ival-pow: 14.0ms (8.3% of total)

ival-pow2: 11.0ms (6.6% of total)

ival-sqrt: 9.0ms (5.4% of total)

ival-sub: 5.0ms (3% of total)

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

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

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

exact: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

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

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

series187.0ms (1.2%)

Memory

-9.8MiB live, 188.3MiB allocated; 27ms collecting garbage

Counts

28 → 70

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
41.0ms	h	@	0	((* (+ (* (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (* (/ h l) -1/2) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (* (neg h) (- (* (* 1/8 (* M M)) (/ (/ (/ (* D D) d) d) l)) (/ 1 h))) (neg h) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (* (* (* (* (* D D) M) (/ M d)) 1/8) (sqrt (/ h (pow l 3)))) (* (* (* (* D D) M) (/ M d)) 1/8) (* (* (* D D) M) (/ M d)) (/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (* M (/ (/ D d) 2)) (sqrt (* (/ d l) (/ d h))) (* (* 1/8 (* M M)) (/ (/ (/ (* D D) d) d) l)) (/ (* D D) d) (sqrt (/ h (pow l 3))) (* (* D D) M) (/ (* M M) l) (/ (* h (/ (* M M) l)) d))
22.0ms	M	@	0	((* (+ (* (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (* (/ h l) -1/2) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (* (neg h) (- (* (* 1/8 (* M M)) (/ (/ (/ (* D D) d) d) l)) (/ 1 h))) (neg h) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (* (* (* (* (* D D) M) (/ M d)) 1/8) (sqrt (/ h (pow l 3)))) (* (* (* (* D D) M) (/ M d)) 1/8) (* (* (* D D) M) (/ M d)) (/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (* M (/ (/ D d) 2)) (sqrt (* (/ d l) (/ d h))) (* (* 1/8 (* M M)) (/ (/ (/ (* D D) d) d) l)) (/ (* D D) d) (sqrt (/ h (pow l 3))) (* (* D D) M) (/ (* M M) l) (/ (* h (/ (* M M) l)) d))
9.0ms	h	@	-inf	((* (+ (* (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (* (/ h l) -1/2) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (* (neg h) (- (* (* 1/8 (* M M)) (/ (/ (/ (* D D) d) d) l)) (/ 1 h))) (neg h) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (* (* (* (* (* D D) M) (/ M d)) 1/8) (sqrt (/ h (pow l 3)))) (* (* (* (* D D) M) (/ M d)) 1/8) (* (* (* D D) M) (/ M d)) (/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (* M (/ (/ D d) 2)) (sqrt (* (/ d l) (/ d h))) (* (* 1/8 (* M M)) (/ (/ (/ (* D D) d) d) l)) (/ (* D D) d) (sqrt (/ h (pow l 3))) (* (* D D) M) (/ (* M M) l) (/ (* h (/ (* M M) l)) d))
9.0ms	l	@	-inf	((* (+ (* (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (* (/ h l) -1/2) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (* (neg h) (- (* (* 1/8 (* M M)) (/ (/ (/ (* D D) d) d) l)) (/ 1 h))) (neg h) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (* (* (* (* (* D D) M) (/ M d)) 1/8) (sqrt (/ h (pow l 3)))) (* (* (* (* D D) M) (/ M d)) 1/8) (* (* (* D D) M) (/ M d)) (/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (* M (/ (/ D d) 2)) (sqrt (* (/ d l) (/ d h))) (* (* 1/8 (* M M)) (/ (/ (/ (* D D) d) d) l)) (/ (* D D) d) (sqrt (/ h (pow l 3))) (* (* D D) M) (/ (* M M) l) (/ (* h (/ (* M M) l)) d))
9.0ms	D	@	inf	((* (+ (* (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (/ (fabs d) (sqrt (* l h)))) (+ (* (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (* (/ h l) -1/2) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (* (neg h) (- (* (* 1/8 (* M M)) (/ (/ (/ (* D D) d) d) l)) (/ 1 h))) (neg h) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (* (* (* (* (* D D) M) (/ M d)) 1/8) (sqrt (/ h (pow l 3)))) (* (* (* (* D D) M) (/ M d)) 1/8) (* (* (* D D) M) (/ M d)) (/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (/ D d)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (* M (/ (/ D d) 2)) (sqrt (* (/ d l) (/ d h))) (* (* 1/8 (* M M)) (/ (/ (/ (* D D) d) d) l)) (/ (* D D) d) (sqrt (/ h (pow l 3))) (* (* D D) M) (/ (* M M) l) (/ (* h (/ (* M M) l)) d))

simplify141.0ms (0.9%)

Memory

8.4MiB live, 152.2MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	1466
1	807	1408
2	3255	1392
0	8441	1358

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 70

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

rewrite177.0ms (1.1%)

Memory

22.2MiB live, 250.2MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	423
0	161	401
1	495	395
2	2494	374
0	8434	374

Stop Event

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

Counts

28 → 594

Calls

Call 1

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

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

eval99.0ms (0.6%)

Memory: -0.9MiB live, 188.2MiB allocated; 28ms collecting garbage
Compiler: Compiled 25 983 to 2 381 computations (90.8% saved)

prune173.0ms (1.1%)

Memory

-0.6MiB live, 243.5MiB allocated; 32ms collecting garbage

Pruning

62 alts after pruning (58 fresh and 4 done)

	Pruned	Kept	Total
New	533	29	562
Fresh	19	29	48
Picked	3	2	5
Done	0	2	2
Total	555	62	617

Accuracy

94.4%

Counts

617 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.3%	(/.f64 (/.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 l)) (sqrt.f64 h))
	40.7%	(/.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)))
	61.6%	(.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 M M) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	72.2%	(.f64 (fma.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	72.6%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	43.7%	(.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)) (/.f64 (fabs.f64 d) (.f64 (sqrt.f64 l) (sqrt.f64 h))))
	43.8%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (neg.f64 M) D) (.f64 M D)) (.f64 (.f64 #s(literal -2 binary64) d) (.f64 d #s(literal 2 binary64))))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	55.7%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 M (/.f64 D d)) (.f64 M D)) (.f64 #s(literal 2 binary64) (.f64 d #s(literal 2 binary64))))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	57.4%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 M (/.f64 D #s(literal 2 binary64))) (neg.f64 d)) (/.f64 (.f64 M (/.f64 D #s(literal 2 binary64))) (neg.f64 d)))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	55.8%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M #s(literal 2 binary64)) (.f64 (/.f64 D d) (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	67.0%	(.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) M) #s(literal 1/2 binary64)) (/.f64 h l)) (/.f64 D d))))
	39.9%	(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 (.f64 M M) l) h) d)) D)) (/.f64 D d))))
	75.8%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) h) l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	68.2%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 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))))
	68.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
	32.5%	(.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))))
	57.7%	(.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 (.f64 D D) (.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 M (.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) h)) l)))
	61.5%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 (.f64 M M) l) h) d)) D)) (/.f64 D d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	31.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 D (.f64 (/.f64 (.f64 h (/.f64 (.f64 M M) l)) d) #s(literal 1/4 binary64)))) (/.f64 D d))))
	68.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
	68.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	58.6%	(.f64 #s(approx (+ ( (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)) #s(literal 1 binary64))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	59.0%	(.f64 #s(approx (+ ( (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (.f64 (-.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)) (neg.f64 h))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	27.9%	(.f64 #s(approx (+ ( (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (/.f64 (.f64 M M) d) d)))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
	42.0%	(.f64 #s(approx (+ ( (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
	48.8%	(.f64 #s(approx (+ ( (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 h (/.f64 (.f64 M M) l)) d) d) d)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	47.7%	(.f64 #s(approx (+ ( (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (.f64 (neg.f64 h) (-.f64 (/.f64 (.f64 (.f64 (/.f64 D d) D) (.f64 (.f64 M M) #s(literal 1/8 binary64))) (.f64 d l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
✓	45.9%	(.f64 #s(approx (+ ( (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (/.f64 (.f64 D D) d) d) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	49.2%	(.f64 #s(approx (+ ( (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (.f64 (/.f64 D d) D) d) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	31.7%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 D (.f64 (/.f64 (.f64 h (/.f64 (.f64 M M) l)) d) #s(literal 1/4 binary64)))) (/.f64 D d))))
	24.2%	#s(approx (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	40.4%	#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))
	25.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	19.8%	#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 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 (neg.f64 d)))) (neg.f64 (sqrt.f64 (neg.f64 l)))))
	17.2%	#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 (/.f64 d l) (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
	16.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d h))) (sqrt.f64 (neg.f64 l))))
	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 d (pow.f64 (exp.f64 (log.f64 (*.f64 l h))) #s(literal 1/2 binary64))))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	29.3%	#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 (pow.f64 l #s(literal -3/2 binary64)) (/.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
	28.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D)))
	25.8%	#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 #s(literal -1/8 binary64) M) (.f64 M (.f64 (/.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (/.f64 (.f64 D D) d))) (.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -3/2 binary64)))) h))
	4.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	27.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 l h)))) d))
	25.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	28.3%	#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 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (.f64 l h))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (*.f64 l h))) #s(literal 1/2 binary64)))) d))
	31.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 M d)) M) (.f64 (/.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) D) (/.f64 d D))) D) D))
	13.8%	#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 (.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))))))
	27.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (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))))
✓	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	28.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 l h)) (neg.f64 (sqrt.f64 (.f64 l h)))))) d))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d (.f64 l 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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	15.5%	#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 (+ ( (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (.f64 (/.f64 (/.f64 (neg.f64 d) D) D) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D)))
	16.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 D D)))
	13.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (* -1/8 (* M M)) (/ (* D D) d)) (sqrt (/ 1 (* (pow l 3) h)))) (* (sqrt (/ 1 (* (pow h 3) l))) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
	31.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))
	17.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (.f64 (.f64 (.f64 (.f64 (/.f64 M d) D) (*.f64 D M)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	18.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (.f64 (.f64 (.f64 (.f64 (*.f64 D D) M) (/.f64 M d)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
	16.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (.f64 (.f64 (.f64 (.f64 (*.f64 D D) M) (/.f64 M d)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (neg.f64 h)) (pow.f64 (neg.f64 l) #s(literal 3/2 binary64)))))

Compiler

Compiled 8 915 to 2 599 computations (70.8% saved)

regimes305.0ms (1.9%)

Memory

6.6MiB live, 439.1MiB allocated; 58ms collecting garbage

Counts

139 → 4

Calls

Call 1

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

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

Calls

7 calls:

81.0ms	l
41.0ms	(*.f64 M D)
38.0ms	d
37.0ms	h
35.0ms	D

Results

Accuracy	Segments	Branch
75.8%	1	`(*.f64 M D)`
84.9%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
78.8%	2	`d`
78.8%	2	`h`
81.9%	3	`l`
75.8%	1	`M`
75.8%	1	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes30.0ms (0.2%)

Memory

-24.2MiB live, 66.2MiB allocated; 6ms collecting garbage

Counts

101 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

(*.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
81.7%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes25.0ms (0.2%)

Memory

18.0MiB live, 63.3MiB allocated; 3ms collecting garbage

Counts

86 → 4

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

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

Results

Accuracy	Segments	Branch
84.1%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes41.0ms (0.3%)

Memory

-59.3MiB live, 24.5MiB allocated; 40ms collecting garbage

Counts

83 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

36.0ms

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

Results

Accuracy	Segments	Branch
82.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes22.0ms (0.1%)

Memory

24.1MiB live, 24.2MiB allocated; 0ms collecting garbage

Counts

80 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

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

Results

Accuracy	Segments	Branch
82.1%	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)

regimes39.0ms (0.2%)

Memory

-14.9MiB live, 75.5MiB allocated; 7ms collecting garbage

Counts

69 → 4

Calls

Call 1

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

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

Calls

2 calls:

18.0ms

16.0ms

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

Results

Accuracy	Segments	Branch
75.0%	2	`l`
82.0%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes97.0ms (0.6%)

Memory

11.4MiB live, 109.5MiB allocated; 9ms collecting garbage

Counts

66 → 4

Calls

Call 1

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

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

Calls

3 calls:

44.0ms

35.0ms

14.0ms

(*.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
72.2%	1	`d`
77.2%	3	`h`
81.2%	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 37 to 32 computations (13.5% saved)

regimes14.0ms (0.1%)

Memory

-13.2MiB live, 30.9MiB allocated; 3ms collecting garbage

Counts

40 → 4

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

(*.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
81.2%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes65.0ms (0.4%)

Memory

-3.0MiB live, 189.3MiB allocated; 17ms collecting garbage

Counts

35 → 6

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	h
12.0ms	D
11.0ms	(*.f64 M D)
10.0ms	l
9.0ms	M

Results

Accuracy	Segments	Branch
69.0%	2	`l`
70.6%	3	`h`
72.5%	3	`(*.f64 M D)`
67.0%	1	`M`
69.3%	2	`D`
80.5%	6	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 42 to 48 computations (-14.3% saved)

regimes18.0ms (0.1%)

Memory

37.3MiB live, 37.4MiB allocated; 0ms collecting garbage

Counts

33 → 4

Calls

Call 1

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

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

Calls

2 calls:

9.0ms

7.0ms

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

Results

Accuracy	Segments	Branch
69.2%	2	`d`
76.3%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes55.0ms (0.4%)

Memory

-28.7MiB live, 17.9MiB allocated; 2ms collecting garbage

Counts

29 → 4

Calls

Call 1

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

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

Calls

1 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))))

Results

Accuracy	Segments	Branch
75.9%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes16.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB 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 (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 (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
(.f64 #s(approx (+ ( (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 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 h) (/.f64 d l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d (.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (/.f64 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (/.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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d h))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 l h)) (neg.f64 (sqrt.f64 (.f64 l h)))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (+ ( (* (/ (* M M) d) -1/8) (sqrt (/ h (pow l 3)))) (* (/ d (* D D)) (sqrt (/ 1 (* l h))))) (.f64 (/.f64 (/.f64 (neg.f64 d) D) D) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 (neg.f64 d)))) (neg.f64 (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (/ (* (pow (* (/ (/ D d) 2) M) 2) (* 1/2 h)) l))) (.f64 (.f64 (.f64 (.f64 (*.f64 D D) M) (/.f64 M d)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
(.f64 #s(approx (+ ( (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (/.f64 (.f64 M M) d) d)))) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h))))
(.f64 #s(approx (+ ( (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (.f64 h (/.f64 (.f64 M M) l)) #s(literal 1 binary64))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 (.f64 M M) l) h) d)) D)) (/.f64 D d))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (* (/ h l) 1/2) (* (/ D 2) (* (/ M d) M))) (.f64 D (.f64 (/.f64 (.f64 h (/.f64 (.f64 M M) l)) d) #s(literal 1/4 binary64)))) (/.f64 D d))))
(.f64 #s(approx (+ ( (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 h (/.f64 (.f64 M M) l)) d) d) d)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
(.f64 (fma.f64 #s(approx ( -1/2 (pow (* (/ (/ D d) 2) M) 2)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (/.f64 (.f64 D D) d) d))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))

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

Calls

2 calls:

7.0ms

(*.f64 M D)

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
64.6%	3	`(*.f64 M D)`
74.5%	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)

regimes86.0ms (0.5%)

Memory

-11.3MiB live, 35.4MiB allocated; 2ms collecting garbage

Counts

23 → 4

Calls

Call 1

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

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

Calls

6 calls:

53.0ms	l
6.0ms	d
6.0ms	h
6.0ms	M
6.0ms	D

Results

Accuracy	Segments	Branch
55.6%	2	`M`
56.2%	5	`l`
49.0%	3	`h`
56.0%	4	`d`
50.7%	2	`D`
68.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 47 computations (-17.5% saved)

regimes13.0ms (0.1%)

Memory

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

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

6.0ms

(*.f64 M D)

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
46.9%	2	`(*.f64 M D)`
57.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes71.0ms (0.5%)

Memory

-18.9MiB live, 30.5MiB allocated; 6ms collecting garbage

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

47.0ms	d
6.0ms	l
6.0ms	D
6.0ms	M
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
43.8%	2	`D`
45.6%	2	`l`
46.2%	2	`d`
42.0%	1	`M`
50.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 39 to 42 computations (-7.7% saved)

regimes8.0ms (0.1%)

Memory

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

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms

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
45.0%	2	`h`
48.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes9.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

(*.f64 M D)

2.0ms

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

Results

Accuracy	Segments	Branch
46.2%	2	`d`
43.7%	2	`(*.f64 M D)`
46.1%	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 39 to 33 computations (15.4% saved)

regimes12.0ms (0.1%)

Memory

-33.1MiB live, 12.0MiB allocated; 3ms 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 (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 (* (+ (* (* -1/2 (pow (* (/ (/ D d) 2) M) 2)) (/ h l)) 1) (sqrt (* (/ d l) (/ d h)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
(.f64 #s(approx (+ ( (* (/ h l) -1/2) (pow (* M (/ (/ D d) 2)) 2)) 1) #s(literal 1 binary64)) (/.f64 (fabs.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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))

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

Calls

2 calls:

9.0ms

2.0ms

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

Results

Accuracy	Segments	Branch
46.1%	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))))`
42.0%	1	`d`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes16.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
28.3%	1	`M`
43.2%	2	`d`
34.9%	5	`(*.f64 M D)`
30.3%	2	`D`
42.0%	2	`h`
42.6%	2	`l`
30.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes35.0ms (0.2%)

Memory

-29.4MiB live, 16.9MiB allocated; 1ms collecting garbage

Accuracy

Total -0.2b remaining (-0.4%)

Threshold costs -0.2b (-0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

26.0ms	(*.f64 M D)
2.0ms	d
2.0ms	D
2.0ms	l
2.0ms	h

Results

Accuracy	Segments	Branch
28.3%	1	`(*.f64 M D)`
28.3%	1	`D`
28.3%	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))))`
28.3%	1	`h`
28.3%	1	`l`
28.3%	1	`d`

Compiler

Compiled 42 to 48 computations (-14.3% saved)

bsearch2.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244
0.0ms	-3.719309484139259e+112	-8.22795659831702e+79

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244
0.0ms	-3.719309484139259e+112	-8.22795659831702e+79

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	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244
0.0ms	-3.17027182548042e-26	-9.749648666972051e-59
0.0ms	-inf	-3.2473172577601244e+246

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244

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	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244
0.0ms	-4.337813957870888e+133	-1.07244065601895e+115

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	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244
0.0ms	-4.337813957870888e+133	-1.07244065601895e+115

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3497992055374741e+185	1.5275933979602681e+206
0.0ms	0.0	6.999295942115558e-244

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.954574355586986e+68	4.196205583718362e+84
0.0ms	3.381466662214535e-187	4.608909753512964e-174

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch92.0ms (0.6%)

Memory

17.8MiB live, 61.8MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
85.0ms	1.3081871584255376e-240	8.047487967861017e-224

Samples

59.0ms	160×	0	valid
16.0ms	133×	0	invalid

Compiler

Compiled 918 to 610 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 44.0ms (67.3% of total)

ival-mult: 10.0ms (15.3% of total)

ival-pow: 7.0ms (10.7% of total)

ival-pow2: 3.0ms (4.6% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.167730665013988e-184	0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3081871584255376e-240	8.047487967861017e-224

Compiler

Compiled 908 to 600 computations (33.9% saved)

simplify130.0ms (0.8%)

Memory

-48.4MiB live, 56.7MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	3882
1	326	3882
2	554	3882
3	2432	3882
4	6603	3882

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.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)))) #s(literal -19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 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 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (.f64 (.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) (.f64 (/.f64 h l) #s(literal 1/2 binary64)))))) (if (<=.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)))) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (.f64 l h)))) (if (<=.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)))) #s(literal 199999999999999995923408833750743034221425890373368330413526423791489690957112222007234289222079197015720502278325914423776701951747276052303778955984015811720861770988395445183586500608 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) h) l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))))
(if (<=.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)))) #s(literal 199999999999999995923408833750743034221425890373368330413526423791489690957112222007234289222079197015720502278325914423776701951747276052303778955984015811720861770988395445183586500608 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) h) l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
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Outputs
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(if (<=.f64 d #s(literal 6415114477738391/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (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))))

derivations1.5s (9.4%)

Memory

63.5MiB live, 1 239.0MiB allocated; 140ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	1466
1	807	1408
2	3255	1392
0	8441	1358
0	104	423
0	161	401
1	495	395
2	2494	374
0	8434	374
0	70	343
0	114	327
1	331	311
2	1768	305
0	8304	305
0	22	72
0	38	68
1	110	67
2	610	67
3	7910	67
0	8018	65
0	234	1412
1	730	1324
2	2934	1289
0	8579	1251
0	78	436
0	131	427
1	356	401
2	1931	393
0	8454	388
0	147	635
1	444	594
2	1805	575
3	6314	574
0	8627	558

Stop Event

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

Compiler

Compiled 4 026 to 225 computations (94.4% saved)

preprocess171.0ms (1.1%)

Memory

-2.1MiB live, 371.6MiB allocated; 59ms collecting garbage

Remove

(abs M)

(abs D)

Compiler

Compiled 9 922 to 1 022 computations (89.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze497.0ms (3.2%)

sample6.8s (43.2%)

explain423.0ms (2.7%)

preprocess230.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify125.0ms (0.8%)

localize158.0ms (1%)

series64.0ms (0.4%)

simplify160.0ms (1%)

rewrite157.0ms (1%)

eval99.0ms (0.6%)

prune39.0ms (0.3%)

simplify116.0ms (0.7%)

localize236.0ms (1.5%)

series183.0ms (1.2%)

simplify151.0ms (1%)

rewrite406.0ms (2.6%)

eval346.0ms (2.2%)

prune144.0ms (0.9%)

simplify161.0ms (1%)

localize261.0ms (1.7%)

series122.0ms (0.8%)

simplify198.0ms (1.3%)

rewrite236.0ms (1.5%)

eval155.0ms (1%)

prune144.0ms (0.9%)

simplify166.0ms (1.1%)

localize288.0ms (1.8%)

series187.0ms (1.2%)

simplify141.0ms (0.9%)

rewrite177.0ms (1.1%)

eval99.0ms (0.6%)

prune173.0ms (1.1%)

regimes305.0ms (1.9%)

regimes30.0ms (0.2%)

regimes25.0ms (0.2%)

regimes41.0ms (0.3%)

regimes22.0ms (0.1%)

regimes39.0ms (0.2%)

regimes97.0ms (0.6%)

regimes14.0ms (0.1%)

regimes65.0ms (0.4%)

regimes18.0ms (0.1%)

regimes55.0ms (0.4%)

regimes16.0ms (0.1%)

regimes86.0ms (0.5%)

regimes13.0ms (0.1%)

regimes71.0ms (0.5%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes16.0ms (0.1%)

regimes35.0ms (0.2%)

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%)

bsearch1.0ms (0%)

bsearch92.0ms (0.6%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

simplify130.0ms (0.8%)

derivations1.5s (9.4%)

preprocess171.0ms (1.1%)

end0.0ms (0%)

Profiling