Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze531.0ms (3.1%)

Memory

18.3MiB live, 653.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample6.4s (36.7%)

Memory

-54.9MiB live, 6 520.0MiB allocated

Samples

2.7s	13 397×	0	invalid
2.3s	8 256×	0	valid

Precisions

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

ival-div: 1.6s (41.3% of total)

ival-mult: 931.0ms (24.4% of total)

ival-pow: 748.0ms (19.6% of total)

ival-pow2: 345.0ms (9% of total)

ival-sub: 163.0ms (4.3% of total)

exact: 24.0ms (0.6% of total)

ival-true: 20.0ms (0.5% of total)

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

Bogosity

explain340.0ms (2%)

Memory

17.9MiB live, 574.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
67	0	-	1	(-3.8634421560226684e-97 -5.19505728202051e+222 -2.9679694256178605e-53 -6.295252515759537e-246 4.617596313502104e-222)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
62	0	-	2	(-1.0657954479786662e-203 -34547002920357126000.0 -8.799621731014314e+115 -9.389874988198809e+203 -0.3960810993661775)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
46	1	(5.127173015081245e-184 2.682891307538013e-214 1.3640547950161868e-222 -2.642451484677878e-201 6.250499189565839e-149)	3	(8.594755756706926e+176 7.97731061019778e+20 2.9272820862142363e-38 3.744598887696893e+106 4.400541624513259e-91)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
26	0	-	3	(2.5102325071062693e-185 1.1966987739204836e+199 1.1577490812195297e+115 -1.2987983050462216e-76 6.948428016226949e-235)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
24	0	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
0	0	-	0	-	`D`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	0	-	0	-	`(/.f64 h l)`
0	0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	0	-	0	-	`d`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(/.f64 d l)`
0	0	-	0	-	`(*.f64 M D)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`(/.f64 d h)`
0	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	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`
0	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	-	0	-	`M`
0	0	-	0	-	`h`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	36	0
↳	`(/.f64 d h)`	underflow	36
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	31	0
↳	`(/.f64 d l)`	underflow	31
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	30	0
↳	`(/.f64 d h)`	overflow	30
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	29	0
↳	`(/.f64 d l)`	overflow	29
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	12	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	11	0
↳	`(*.f64 M D)`	overflow	26
`*.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**	10	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	10	0
↳	`(/.f64 d h)`	underflow	36
↳	`(/.f64 d l)`	underflow	31
↳	`(*.f64 (pow.f64 (/.f64 d 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	20
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	74
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	74
↳	`(/.f64 h l)`	overflow	33
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	75
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	75
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	35
`*.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**	6	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	74
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	74
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	35
↳	`(/.f64 h l)`	underflow	31
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	4	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	88
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	88
↳	`(*.f64 M D)`	underflow	40
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	49
↳	`(/.f64 h l)`	overflow	33
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	40

Confusion

	Predicted +	Predicted -
+	87	5
-	34	130

Precision

0.71900826446281

Recall

0.9456521739130435

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	87	0	5
-	34	0	130

Precision?

0.71900826446281

Recall?

0.9456521739130435

Freqs

test

number	freq
0	135
1	74
2	31
3	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

123.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 43.0ms (45.5% of total)

ival-pow: 22.0ms (23.3% of total)

ival-div: 20.0ms (21.2% of total)

ival-pow2: 5.0ms (5.3% of total)

ival-sub: 2.0ms (2.1% of total)

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

exact: 1.0ms (1.1% of total)

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

preprocess185.0ms (1.1%)

Memory

2.7MiB live, 197.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	2092	548
3	4738	548
0	22	29
0	38	27
1	67	27
2	182	27
3	1068	27
4	3452	27
5	6729	27
0	8398	26

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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

▶

64.8%

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

simplify121.0ms (0.7%)

Memory

17.9MiB live, 129.5MiB allocated

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	182	126
3	1068	126
4	3452	126
5	6729	126
0	8398	124

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (0.6%)

Memory

-11.1MiB live, 109.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.793603998259726	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	10.431844739379796	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	14.541358403522084	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.790522229745125	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

92.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 19.0ms (44.5% of total)

ival-pow: 10.0ms (23.4% of total)

ival-mult: 8.0ms (18.8% of total)

ival-pow2: 3.0ms (7% of total)

ival-sub: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (0.4%)

Memory

-3.3MiB live, 83.1MiB allocated

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
22.0ms	l	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
8.0ms	d	@	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	d	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
3.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify136.0ms (0.8%)

Memory

11.5MiB live, 159.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite161.0ms (0.9%)

Memory

-13.6MiB live, 253.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
0	38	68
1	124	67
2	836	67
0	8769	65

Stop Event

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

Counts

6 → 454

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

eval66.0ms (0.4%)

Memory: 12.2MiB live, 94.0MiB allocated
Compiler: Compiled 20 228 to 1 521 computations (92.5% saved)

prune54.0ms (0.3%)

Memory

1.6MiB live, 77.4MiB allocated

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	445	31	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	446	31	477

Accuracy

91.2%

Counts

477 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.4%	(fma.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 l #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))))
	42.9%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) h) (.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
▶	22.0%	(fma.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) (pow.f64 l #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))))
	64.8%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	65.3%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	38.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
▶	37.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	35.6%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	34.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	53.4%	(/.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	53.4%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	65.2%	(.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))))
	64.6%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	65.2%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	64.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	68.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	65.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (/.f64 (neg.f64 h) l) (.f64 (.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64)))
	53.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
	63.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) d)))
	55.0%	(.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 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
	23.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
	35.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	64.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	38.0%	#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) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	16.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	22.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	28.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 398 to 1 684 computations (29.8% saved)

simplify145.0ms (0.8%)

Memory

6.6MiB live, 137.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	644
0	127	634
1	229	634
2	541	634
3	2045	634
4	4163	634
5	7843	634
0	8232	632

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

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

localize254.0ms (1.5%)

Memory

11.6MiB live, 330.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.945949801630102	(.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
accuracy	6.024387486880236	(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)))
accuracy	9.135705789636653	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	11.455268730152088	(sqrt.f64 (*.f64 (/.f64 d h) d))
accuracy	0.810425867236691	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d))
accuracy	0.9833879592307015	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
accuracy	4.1238789948736825	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	6.414589955197944	(sqrt.f64 (/.f64 d l))
accuracy	5.910330372365123	(fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	6.809327145959317	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
accuracy	7.356169874210587	(sqrt.f64 (/.f64 h l))
accuracy	7.601463664167815	(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy	0.0703125	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.4483689555678404	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	6.878602469811769	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	15.711280529415538	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
accuracy	2.5868243106855195	(/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l)
accuracy	2.7046853785350287	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
accuracy	6.414589955197944	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	8.303569231319912	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

102.0ms	130×	0	invalid
83.0ms	126×	0	valid

Compiler

Compiled 645 to 71 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 56.0ms (46.8% of total)

ival-div: 23.0ms (19.2% of total)

ival-pow: 19.0ms (15.9% of total)

ival-sqrt: 12.0ms (10% of total)

ival-add: 5.0ms (4.2% of total)

ival-pow2: 2.0ms (1.7% of total)

ival-sub: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series176.0ms (1%)

Memory

-58.2MiB live, 285.6MiB allocated

Counts

27 → 93

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

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

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	D	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (* (* (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) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (+ (* (sqrt (* (/ d h) d)) (pow l -1/2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ d h) d)) (* (/ d h) d) (/ d h) (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d l)) (sqrt (* (/ (/ d l) h) d)) (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))))
19.0ms	M	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (* (* (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) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (+ (* (sqrt (* (/ d h) d)) (pow l -1/2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ d h) d)) (* (/ d h) d) (/ d h) (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d l)) (sqrt (* (/ (/ d l) h) d)) (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))))
19.0ms	d	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (* (* (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) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (+ (* (sqrt (* (/ d h) d)) (pow l -1/2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ d h) d)) (* (/ d h) d) (/ d h) (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d l)) (sqrt (* (/ (/ d l) h) d)) (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))))
12.0ms	h	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (* (* (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) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (+ (* (sqrt (* (/ d h) d)) (pow l -1/2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ d h) d)) (* (/ d h) d) (/ d h) (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d l)) (sqrt (* (/ (/ d l) h) d)) (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))))
11.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (* (* (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) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (+ (* (sqrt (* (/ d h) d)) (pow l -1/2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ d h) d)) (* (/ d h) d) (/ d h) (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)) (sqrt (/ d l)) (sqrt (* (/ (/ d l) h) d)) (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d))))

simplify209.0ms (1.2%)

Memory

13.6MiB live, 125.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	1992
1	1035	1861
2	3763	1837
0	8130	1790

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 93

Calls

Call 1

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

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

rewrite179.0ms (1%)

Memory

21.2MiB live, 217.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	423
0	127	402
1	420	387
2	2842	363
0	9115	363

Stop Event

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

Counts

27 → 1 120

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

Outputs
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.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 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(sqrt.f64 (/.f64 d h))
(exp.f64 (-.f64 (.f64 (log.f64 d) #s(literal 1/2 binary64)) (.f64 (log.f64 h) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (sqrt.f64 d) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 l d) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 d l))
(exp.f64 (fma.f64 (log.f64 d) #s(literal 1/2 binary64) (*.f64 (log.f64 l) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 d l) h) d) (.f64 (pow.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 4 binary64)))) (pow.f64 (-.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (*.f64 l h))))) #s(literal -1 binary64)))
(.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 (/.f64 d (sqrt.f64 l)) (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 h #s(literal -1/2 binary64)) (.f64 (/.f64 d (sqrt.f64 l)) (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 6 binary64)) (pow.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 d l) h) d (fma.f64 (pow.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 4 binary64)) (neg.f64 (.f64 (.f64 (/.f64 (/.f64 d l) h) d) (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))))))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 d (sqrt.f64 l)))) (pow.f64 (neg.f64 (sqrt.f64 h)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 d (sqrt.f64 l)) (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))) (pow.f64 h #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 d) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h)))
(.f64 (sqrt.f64 d) (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (pow.f64 h #s(literal -1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))))
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(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) l) h))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))))
(.f64 h (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64)))
(.f64 h (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) l)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64)))))
(pow.f64 (/.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) h) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) h)) #s(literal 1 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 h))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) h)))) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 l h)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) h)) (neg.f64 (/.f64 (/.f64 l #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 h #s(literal 1 binary64))) (neg.f64 (/.f64 (/.f64 l #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))))))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) h) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) l)
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) h)) #s(literal 1 binary64)) l)
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 l h))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) h))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) h))) l)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))) (neg.f64 l))
(/.f64 (.f64 h #s(literal 1 binary64)) (/.f64 (/.f64 l #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) h) (/.f64 (/.f64 l #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)) l)
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) h)) (neg.f64 l))
(/.f64 (neg.f64 h) (neg.f64 (/.f64 (/.f64 l #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64)))) (neg.f64 (/.f64 l h)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 l h))
(/.f64 h (/.f64 (/.f64 l #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))))
(neg.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))))
(.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) l))) h)
(.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) h) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) l)))
(.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal -1/2 binary64)) (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 (/.f64 d l) h))) (sqrt.f64 d))
(.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (.f64 (sqrt.f64 d) (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (.f64 l h)))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h))))
(.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (.f64 l h)))))
(.f64 (/.f64 h l) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (.f64 l h))))))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) l)) (.f64 h (/.f64 d (sqrt.f64 (.f64 l h)))))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))))
(.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 h l) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h)))))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (.f64 l h))))))
(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))))
(.f64 h (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) l)) (/.f64 d (sqrt.f64 (.f64 l h)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) h) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (.f64 l h)))))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)))) (neg.f64 l))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) h) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (.f64 l h))))) l)
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)) (/.f64 d (sqrt.f64 (.f64 l h)))) l)
(/.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))) l)

eval171.0ms (1%)

Memory: 17.3MiB live, 169.3MiB allocated
Compiler: Compiled 42 748 to 3 450 computations (91.9% saved)

prune143.0ms (0.8%)

Memory

-7.6MiB live, 197.8MiB allocated

Pruning

53 alts after pruning (52 fresh and 1 done)

	Pruned	Kept	Total
New	843	43	886
Fresh	17	9	26
Picked	4	1	5
Done	0	0	0
Total	864	53	917

Accuracy

93.9%

Counts

917 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.1%	(fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) l))) h (/.f64 d (sqrt.f64 (.f64 l h))))
	30.7%	(/.f64 (fma.f64 (/.f64 d (sqrt.f64 l)) l (.f64 (sqrt.f64 h) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))))) (.f64 (sqrt.f64 h) l))
	39.7%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
	40.0%	(/.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 d)) (sqrt.f64 h))
	38.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	35.6%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
▶	29.7%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	13.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	30.3%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (.f64 (neg.f64 d) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (neg.f64 h) (.f64 (.f64 (.f64 M M) D) (/.f64 D d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))))) (sqrt.f64 h))
	3.3%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
	35.6%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
▶	53.4%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	64.2%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	64.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	64.6%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	68.5%	(.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)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))))) h #s(literal 1 binary64)))
	55.1%	(.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)))) (fma.f64 #s(approx (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) l) (/.f64 (/.f64 (.f64 D D) d) d))) h #s(literal 1 binary64)))
	53.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 d d)))))
	63.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) d)))
	23.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
	39.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
▶	68.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	28.7%	#s(approx (+ (* (sqrt (* (/ d h) d)) (pow l -1/2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	57.5%	#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 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	38.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (neg.f64 D) D) (.f64 #s(literal -1/8 binary64) (.f64 M M))) (neg.f64 d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	46.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 M M)) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	46.6%	#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) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	43.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) D) (/.f64 D d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	16.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	43.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	47.3%	#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 M (.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	27.0%	#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 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64)))) (sqrt.f64 l) (.f64 d (.f64 (sqrt.f64 h) d))) (.f64 d (sqrt.f64 l))) h))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	24.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d)) #s(literal 2 binary64)) (.f64 (.f64 d d) (/.f64 h l))) (.f64 h (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))))))
	19.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
	37.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
▶	25.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	57.5%	#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(literal 1 binary64) (/.f64 h (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)))))
	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
	24.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) d))
	3.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) d))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	13.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
	40.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
▶	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	34.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	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)))) #s(approx (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal 1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))))
	17.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))

Compiler

Compiled 4 930 to 3 248 computations (34.1% saved)

simplify144.0ms (0.8%)

Memory

8.4MiB live, 204.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
cost-diff	2	(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 h l)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
cost-diff	0	#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) l) l))
cost-diff	0	(.f64 #s(approx (+ ( (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) l) l)) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d))
cost-diff	0	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 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 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 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	77	598
0	121	585
1	213	585
2	491	585
3	1962	585
4	4060	585
5	7591	585
0	8307	583

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

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

localize267.0ms (1.5%)

Memory

-20.8MiB live, 302.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)
accuracy	2.5474123015013093	(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))
accuracy	7.219446500214054	(log.f64 (*.f64 l h))
accuracy	15.711280529415538	#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))
accuracy	2.233886797162392	(/.f64 (/.f64 d l) h)
accuracy	2.7046853785350287	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
accuracy	4.1238789948736825	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	9.135705789636653	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	2.9254921569104346	(.f64 (/.f64 (/.f64 (.f64 M M) d) d) h)
accuracy	4.683514561144472	(/.f64 (*.f64 M M) d)
accuracy	5.311812498494715	(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) l)
accuracy	6.414589955197944	(sqrt.f64 (/.f64 d l))
accuracy	0.0	(*.f64 l h)
accuracy	0.10546875	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	7.1254962295976005	(sqrt.f64 (*.f64 l h))
accuracy	15.711280529415538	#s(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	2.5868243106855195	(/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l)
accuracy	2.7046853785350287	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
accuracy	6.414589955197944	(sqrt.f64 (/.f64 d l))
accuracy	8.303569231319912	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

95.0ms	126×	0	valid
70.0ms	130×	0	invalid

Compiler

Compiled 537 to 66 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 36.0ms (27.6% of total)

ival-sqrt: 36.0ms (27.6% of total)

ival-div: 22.0ms (16.9% of total)

ival-pow: 21.0ms (16.1% of total)

ival-exp: 3.0ms (2.3% of total)

ival-add: 3.0ms (2.3% of total)

ival-log: 3.0ms (2.3% of total)

ival-pow2: 3.0ms (2.3% of total)

ival-sub: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series196.0ms (1.1%)

Memory

10.8MiB live, 238.5MiB allocated

Counts

28 → 90

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

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

Calls

15 calls:

Time	Variable		Point	Expression
41.0ms	h	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d 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 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (+ (* (* -1/8 (* D D)) (* (/ (/ (* M M) d) d) h)) l) (/ (* M M) d) (* (/ (/ (* M M) d) d) h) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h) (log (* l h)))
27.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d 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 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (+ (* (* -1/8 (* D D)) (* (/ (/ (* M M) d) d) h)) l) (/ (* M M) d) (* (/ (/ (* M M) d) d) h) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h) (log (* l h)))
23.0ms	l	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d 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 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (+ (* (* -1/8 (* D D)) (* (/ (/ (* M M) d) d) h)) l) (/ (* M M) d) (* (/ (/ (* M M) d) d) h) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h) (log (* l h)))
22.0ms	l	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d 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 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (+ (* (* -1/8 (* D D)) (* (/ (/ (* M M) d) d) h)) l) (/ (* M M) d) (* (/ (/ (* M M) d) d) h) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h) (log (* l h)))
22.0ms	d	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d 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 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) (+ (* (* -1/8 (* D D)) (* (/ (/ (* M M) d) d) h)) l) (/ (* M M) d) (* (/ (/ (* M M) d) d) h) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h) (log (* l h)))

simplify131.0ms (0.8%)

Memory

29.0MiB live, 178.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	1670
1	1011	1583
2	3515	1568
0	8378	1522

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 89

Calls

Call 1

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

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

rewrite204.0ms (1.2%)

Memory

-31.6MiB live, 213.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	430
0	121	423
1	379	410
2	2463	378
0	8694	378

Stop Event

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

Counts

28 → 946

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

Outputs
#s(literal 1/2 binary64)
(*.f64 (/.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 h #s(literal 1/4 binary64))) (/.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 h #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(sqrt.f64 (/.f64 d h))
(exp.f64 (-.f64 (.f64 (log.f64 d) #s(literal 1/2 binary64)) (.f64 (log.f64 h) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 d l) h))) (sqrt.f64 d))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (.f64 (sqrt.f64 d) (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 d l) h) d))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (.f64 l h))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(literal 3 binary64)) (pow.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 d l) h) d) (.f64 (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (.f64 l h))))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)) (/.f64 d (sqrt.f64 (.f64 l h)))) (sqrt.f64 l) (.f64 l (sqrt.f64 (.f64 d (/.f64 d h))))) (*.f64 l (sqrt.f64 l)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)) (/.f64 d (sqrt.f64 (.f64 l h)))) (sqrt.f64 l) (.f64 l (sqrt.f64 (.f64 (/.f64 d h) d)))) (*.f64 l (sqrt.f64 l)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)) (/.f64 d (sqrt.f64 (.f64 l h)))) (sqrt.f64 h) (.f64 l (/.f64 d (sqrt.f64 l)))) (.f64 l (sqrt.f64 h)))
(/.f64 (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))) (sqrt.f64 l) (.f64 l (sqrt.f64 (.f64 d (/.f64 d h))))) (*.f64 l (sqrt.f64 l)))
(/.f64 (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))) (sqrt.f64 l) (.f64 l (sqrt.f64 (.f64 (/.f64 d h) d)))) (*.f64 l (sqrt.f64 l)))
(/.f64 (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))) (sqrt.f64 h) (.f64 l (/.f64 d (sqrt.f64 l)))) (.f64 l (sqrt.f64 h)))
(/.f64 (fma.f64 (sqrt.f64 (.f64 d (/.f64 d h))) l (.f64 (sqrt.f64 l) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)) (/.f64 d (sqrt.f64 (.f64 l h)))))) (*.f64 (sqrt.f64 l) l))
(/.f64 (fma.f64 (sqrt.f64 (.f64 d (/.f64 d h))) l (.f64 (sqrt.f64 l) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))))) (*.f64 (sqrt.f64 l) l))
(/.f64 (fma.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) l (.f64 (sqrt.f64 l) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)) (/.f64 d (sqrt.f64 (.f64 l h)))))) (*.f64 (sqrt.f64 l) l))
(/.f64 (fma.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) l (.f64 (sqrt.f64 l) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))))) (*.f64 (sqrt.f64 l) l))
(/.f64 (fma.f64 (/.f64 d (sqrt.f64 l)) l (.f64 (sqrt.f64 h) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h)) (/.f64 d (sqrt.f64 (.f64 l h)))))) (.f64 (sqrt.f64 h) l))
(/.f64 (fma.f64 (/.f64 d (sqrt.f64 l)) l (.f64 (sqrt.f64 h) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) h))))) (.f64 (sqrt.f64 h) l))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))) (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h)))) (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64)))) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (/.f64 d (neg.f64 (sqrt.f64 h))))
(.f64 (/.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 h #s(literal 1/4 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 d)) (pow.f64 h #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 d) (pow.f64 h #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 h #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 h #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 d) (pow.f64 h #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (sqrt.f64 d))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 h) d) #s(literal -1 binary64)))
(*.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h))))
(.f64 (neg.f64 d) (pow.f64 (neg.f64 (sqrt.f64 (.f64 l h))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d)
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)))
(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(.f64 d (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (.f64 l h))))
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) (pow.f64 (/.f64 l d) #s(literal -2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (/.f64 (/.f64 d l) h) d) (*.f64 (/.f64 (/.f64 d l) h) d)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 d (/.f64 d h)))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 d h) d))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (.f64 d #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (.f64 l h))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h))))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (sqrt.f64 (*.f64 d (/.f64 (neg.f64 d) l))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d l) d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (.f64 d (neg.f64 d))) (sqrt.f64 (.f64 h (neg.f64 l))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) d)) (sqrt.f64 (/.f64 h (/.f64 d l))))
(/.f64 (sqrt.f64 (.f64 (neg.f64 d) d)) (sqrt.f64 (.f64 (neg.f64 h) l)))
(/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 (/.f64 h (/.f64 d l))))
(/.f64 (sqrt.f64 (*.f64 d (/.f64 d h))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))
(/.f64 (neg.f64 (/.f64 d (sqrt.f64 l))) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 (.f64 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h)))
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d)))
(/.f64 (neg.f64 d) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 h (/.f64 d l))))
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(/.f64 d (sqrt.f64 (*.f64 (neg.f64 h) (neg.f64 l))))
(/.f64 d (sqrt.f64 (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))
(neg.f64 (/.f64 (neg.f64 d) (sqrt.f64 (*.f64 l h))))
(neg.f64 (/.f64 d (neg.f64 (sqrt.f64 (*.f64 l h)))))
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 l h)))) (/.f64 d (neg.f64 (sqrt.f64 (.f64 l h)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 l h)) d)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 d l) h) d)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) h) (/.f64 (neg.f64 d) l))
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64))) h))
(*.f64 (pow.f64 (/.f64 h (neg.f64 d)) #s(literal -1 binary64)) (pow.f64 (neg.f64 l) #s(literal -1 binary64)))
(*.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 (pow.f64 h #s(literal -1 binary64)) l))
(*.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 (pow.f64 l #s(literal -1 binary64)) h))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 (pow.f64 h #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64))))
(*.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 d l))
(*.f64 (/.f64 (neg.f64 d) l) (pow.f64 (neg.f64 h) #s(literal -1 binary64)))
(*.f64 (/.f64 d l) (pow.f64 h #s(literal -1 binary64)))
(*.f64 (/.f64 d h) (pow.f64 l #s(literal -1 binary64)))
(*.f64 d (/.f64 (pow.f64 l #s(literal -1 binary64)) h))
(.f64 d (pow.f64 (.f64 l h) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 d l) h))
(pow.f64 (/.f64 (*.f64 l h) d) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 h (/.f64 d l)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 l d) h) #s(literal -1 binary64))
(pow.f64 (/.f64 h (/.f64 d l)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 d) (pow.f64 h #s(literal -1 binary64)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (/.f64 d l) #s(literal 1 binary64))) (neg.f64 h))
(/.f64 (neg.f64 (pow.f64 h #s(literal -1 binary64))) (neg.f64 (/.f64 l d)))
(/.f64 (neg.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 l) h)))
(/.f64 (neg.f64 (/.f64 d h)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 d #s(literal 1 binary64))) (neg.f64 (.f64 l h)))
(/.f64 (*.f64 (neg.f64 d) (pow.f64 h #s(literal -1 binary64))) (neg.f64 l))
(/.f64 (*.f64 (/.f64 d l) #s(literal 1 binary64)) h)
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 (*.f64 l h))))
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (*.f64 h (neg.f64 l))))
(/.f64 (.f64 (neg.f64 d) #s(literal 1 binary64)) (.f64 (neg.f64 l) h))
(/.f64 (.f64 d #s(literal 1 binary64)) (.f64 l h))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 l h) d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 h (/.f64 d l)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l d) h)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 h (/.f64 d l))))
(/.f64 (pow.f64 h #s(literal -1 binary64)) (/.f64 l d))
(/.f64 (/.f64 (neg.f64 d) l) (neg.f64 (neg.f64 (neg.f64 h))))
(/.f64 (/.f64 (neg.f64 d) l) (neg.f64 h))
(/.f64 (neg.f64 d) (neg.f64 (*.f64 l h)))
(/.f64 (neg.f64 d) (*.f64 h (neg.f64 l)))
(/.f64 (/.f64 d l) (neg.f64 (neg.f64 h)))
(/.f64 (/.f64 d l) h)
(/.f64 (/.f64 d h) l)
(/.f64 d (*.f64 l h))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 h (/.f64 d l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l h) d))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 h (/.f64 d l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l d) h))
(/.f64 #s(literal 1 binary64) (/.f64 h (/.f64 d l)))
(neg.f64 (/.f64 (/.f64 (neg.f64 d) l) h))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 h)) (/.f64 (/.f64 (neg.f64 d) l) h))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 l h))) (/.f64 d (neg.f64 (.f64 l h))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 h (neg.f64 l))) (/.f64 d (.f64 h (neg.f64 l))))
(exp.f64 (*.f64 (log.f64 (/.f64 h (/.f64 d l))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (pow.f64 (log.f64 h) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 l h))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 l) #s(literal 3 binary64)) (pow.f64 (log.f64 h) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 l) (log.f64 l) (-.f64 (pow.f64 (log.f64 h) #s(literal 2 binary64)) (*.f64 (log.f64 l) (log.f64 h))))))
(/.f64 (-.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (pow.f64 (log.f64 h) #s(literal 2 binary64))) (log.f64 (/.f64 l h)))
(/.f64 (+.f64 (pow.f64 (log.f64 l) #s(literal 3 binary64)) (pow.f64 (log.f64 h) #s(literal 3 binary64))) (fma.f64 (log.f64 l) (log.f64 l) (-.f64 (pow.f64 (log.f64 h) #s(literal 2 binary64)) (*.f64 (log.f64 l) (log.f64 h)))))
(-.f64 (/.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (log.f64 (/.f64 l h))) (/.f64 (pow.f64 (log.f64 h) #s(literal 2 binary64)) (log.f64 (/.f64 l h))))
(+.f64 (log.f64 h) (log.f64 l))
(+.f64 (log.f64 l) (log.f64 h))
(log.f64 (*.f64 l h))

eval112.0ms (0.6%)

Memory: 10.6MiB live, 120.7MiB allocated
Compiler: Compiled 29 664 to 3 138 computations (89.4% saved)

prune70.0ms (0.4%)

Memory

13.7MiB live, 134.1MiB allocated

Pruning

50 alts after pruning (47 fresh and 3 done)

	Pruned	Kept	Total
New	713	18	731
Fresh	18	29	47
Picked	3	2	5
Done	0	1	1
Total	734	50	784

Accuracy

94.6%

Counts

784 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.7%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
	40.0%	(/.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 d)) (sqrt.f64 h))
	38.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	35.6%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	37.1%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (*.f64 #s(literal -1/8 binary64) D)) D l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	32.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) l) l)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 d)) (sqrt.f64 h))
	32.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (/.f64 M d) M) d) h) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	33.1%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(approx (* (/ (/ (* M M) d) d) h) (.f64 (/.f64 (.f64 h M) d) (/.f64 M d))) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	15.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 #s(approx (+ (* (* -1/8 (* D D)) (* (/ (/ (* M M) d) d) h)) l) (.f64 (.f64 (.f64 (/.f64 (.f64 h (/.f64 (*.f64 D D) d)) d) #s(literal -1/8 binary64)) M) M)) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	12.9%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 (.f64 (.f64 (.f64 M M) h) D) (/.f64 D d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	4.0%	(/.f64 (.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 d)) (sqrt.f64 h))
	30.3%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (.f64 (neg.f64 d) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (neg.f64 h) (.f64 (.f64 (.f64 M M) D) (/.f64 D d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))))) (sqrt.f64 h))
	3.3%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (.f64 (/.f64 d (sqrt.f64 l)) #s(approx (+ ( (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) l) l)))))
	58.0%	(.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) l) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	54.4%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	35.6%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	56.7%	(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) l)) h #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	64.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	69.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64)))
	68.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
▶	53.7%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	40.0%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	28.7%	#s(approx (+ (* (sqrt (* (/ d h) d)) (pow l -1/2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	57.5%	#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 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	46.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 M M)) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
▶	46.6%	#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) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	16.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	43.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	47.3%	#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 M (.f64 (.f64 #s(literal -1/8 binary64) M) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	24.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d)) #s(literal 2 binary64)) (.f64 (.f64 d d) (/.f64 h l))) (.f64 h (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))))))
	19.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
	37.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	57.5%	#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(literal 1 binary64) (/.f64 h (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)))))
	21.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/4 binary64)) d))
	3.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
▶	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) d))
▶	13.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	40.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
✓	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
✓	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	34.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	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)))) #s(approx (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal 1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))))
	17.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (.f64 D D)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))

Compiler

Compiled 4 621 to 3 085 computations (33.2% saved)

simplify136.0ms (0.8%)

Memory

-9.6MiB live, 142.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) l) l)
cost-diff	0	#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) l) l))
cost-diff	0	(.f64 #s(approx (+ ( (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) l) l)) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
cost-diff	0	(.f64 #s(literal 1/8 binary64) (.f64 D D))
cost-diff	0	(.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d))
cost-diff	0	(.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)))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
cost-diff	0	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
cost-diff	5	(fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) 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	2	(.f64 (.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
cost-diff	2	(/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff	2	(.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	693
0	136	666
1	263	650
2	724	644
3	3692	644
4	5591	644
0	8007	635

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

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

localize307.0ms (1.8%)

Memory

30.2MiB live, 351.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.51076129253739	(*.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h)
accuracy	11.871873787902157	(fma.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) l)
accuracy	14.541358403522084	(sqrt.f64 (/.f64 d l))
accuracy	15.786615979745125	(sqrt.f64 (/.f64 d h))
accuracy	11.558977762616772	(.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d))
accuracy	13.493551512752477	(.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)))))
accuracy	19.796275617527975	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	46.14137648453962	#s(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))))))
accuracy	6.989770241586904	(/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)
accuracy	11.998316986275867	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
accuracy	13.335806404273871	(fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	15.292457217220294	(sqrt.f64 (/.f64 h l))
accuracy	0.1484375	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.27734375	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	13.311035578775886	(sqrt.f64 (*.f64 l h))
accuracy	45.89553987372744	#s(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	5.6035953056290735	(/.f64 (*.f64 D M) d)
accuracy	5.793603998259726	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64)))
accuracy	14.541358403522084	(sqrt.f64 (/.f64 d l))
accuracy	15.790522229745125	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

202.0ms

256×

valid

Compiler

Compiled 619 to 81 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-pow: 54.0ms (33.1% of total)

ival-mult: 52.0ms (31.9% of total)

ival-div: 35.0ms (21.5% of total)

ival-sqrt: 12.0ms (7.4% of total)

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

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

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

exact: 1.0ms (0.6% of total)

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

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

series129.0ms (0.7%)

Memory

-14.3MiB live, 221.5MiB allocated

Counts

29 → 86

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
13.0ms	D	@	inf	((/ 1 2) (* (/ (* (/ (* D M) d) 1/2) -1) (/ (* (* (/ (* D M) d) 1/2) 1/2) l)) (/ (* (/ (* D M) d) 1/2) -1) (* (* (/ (* D M) d) 1/2) 1/2) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) h) (* (* (* M M) -1/8) (/ (* D D) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* 1/8 (* D D)) (/ (* M M) d)) (sqrt (/ h (pow l 3)))) (* (* 1/8 (* D D)) (/ (* M M) d)) (* 1/8 (* D D)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/ (+ (* (* (pow (/ d M) -2) h) (* (* D D) -1/8)) l) l) (pow (/ d h) (/ 1 2)) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* (/ (* (/ (* D M) d) 1/2) -1) (/ (* (* (/ (* D M) d) 1/2) 1/2) l)) h) 1)) (/ (* D M) d) (sqrt (/ h l)) (sqrt (/ h (pow l 3))) (sqrt (/ d h)) (+ (* (* (pow (/ d M) -2) h) (* (* D D) -1/8)) l) (* (pow (/ d M) -2) h))
12.0ms	l	@	-inf	((/ 1 2) (* (/ (* (/ (* D M) d) 1/2) -1) (/ (* (* (/ (* D M) d) 1/2) 1/2) l)) (/ (* (/ (* D M) d) 1/2) -1) (* (* (/ (* D M) d) 1/2) 1/2) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) h) (* (* (* M M) -1/8) (/ (* D D) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* 1/8 (* D D)) (/ (* M M) d)) (sqrt (/ h (pow l 3)))) (* (* 1/8 (* D D)) (/ (* M M) d)) (* 1/8 (* D D)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/ (+ (* (* (pow (/ d M) -2) h) (* (* D D) -1/8)) l) l) (pow (/ d h) (/ 1 2)) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* (/ (* (/ (* D M) d) 1/2) -1) (/ (* (* (/ (* D M) d) 1/2) 1/2) l)) h) 1)) (/ (* D M) d) (sqrt (/ h l)) (sqrt (/ h (pow l 3))) (sqrt (/ d h)) (+ (* (* (pow (/ d M) -2) h) (* (* D D) -1/8)) l) (* (pow (/ d M) -2) h))
10.0ms	h	@	-inf	((/ 1 2) (* (/ (* (/ (* D M) d) 1/2) -1) (/ (* (* (/ (* D M) d) 1/2) 1/2) l)) (/ (* (/ (* D M) d) 1/2) -1) (* (* (/ (* D M) d) 1/2) 1/2) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) h) (* (* (* M M) -1/8) (/ (* D D) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* 1/8 (* D D)) (/ (* M M) d)) (sqrt (/ h (pow l 3)))) (* (* 1/8 (* D D)) (/ (* M M) d)) (* 1/8 (* D D)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/ (+ (* (* (pow (/ d M) -2) h) (* (* D D) -1/8)) l) l) (pow (/ d h) (/ 1 2)) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* (/ (* (/ (* D M) d) 1/2) -1) (/ (* (* (/ (* D M) d) 1/2) 1/2) l)) h) 1)) (/ (* D M) d) (sqrt (/ h l)) (sqrt (/ h (pow l 3))) (sqrt (/ d h)) (+ (* (* (pow (/ d M) -2) h) (* (* D D) -1/8)) l) (* (pow (/ d M) -2) h))
10.0ms	d	@	inf	((/ 1 2) (* (/ (* (/ (* D M) d) 1/2) -1) (/ (* (* (/ (* D M) d) 1/2) 1/2) l)) (/ (* (/ (* D M) d) 1/2) -1) (* (* (/ (* D M) d) 1/2) 1/2) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) h) (* (* (* M M) -1/8) (/ (* D D) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* 1/8 (* D D)) (/ (* M M) d)) (sqrt (/ h (pow l 3)))) (* (* 1/8 (* D D)) (/ (* M M) d)) (* 1/8 (* D D)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/ (+ (* (* (pow (/ d M) -2) h) (* (* D D) -1/8)) l) l) (pow (/ d h) (/ 1 2)) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* (/ (* (/ (* D M) d) 1/2) -1) (/ (* (* (/ (* D M) d) 1/2) 1/2) l)) h) 1)) (/ (* D M) d) (sqrt (/ h l)) (sqrt (/ h (pow l 3))) (sqrt (/ d h)) (+ (* (* (pow (/ d M) -2) h) (* (* D D) -1/8)) l) (* (pow (/ d M) -2) h))
10.0ms	M	@	-inf	((/ 1 2) (* (/ (* (/ (* D M) d) 1/2) -1) (/ (* (* (/ (* D M) d) 1/2) 1/2) l)) (/ (* (/ (* D M) d) 1/2) -1) (* (* (/ (* D M) d) 1/2) 1/2) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) h) (* (* (* M M) -1/8) (/ (* D D) d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* 1/8 (* D D)) (/ (* M M) d)) (sqrt (/ h (pow l 3)))) (* (* 1/8 (* D D)) (/ (* M M) d)) (* 1/8 (* D D)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/ (+ (* (* (pow (/ d M) -2) h) (* (* D D) -1/8)) l) l) (pow (/ d h) (/ 1 2)) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* (/ (* (/ (* D M) d) 1/2) -1) (/ (* (* (/ (* D M) d) 1/2) 1/2) l)) h) 1)) (/ (* D M) d) (sqrt (/ h l)) (sqrt (/ h (pow l 3))) (sqrt (/ d h)) (+ (* (* (pow (/ d M) -2) h) (* (* D D) -1/8)) l) (* (pow (/ d M) -2) h))

simplify151.0ms (0.9%)

Memory

-5.6MiB live, 184.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1710
1	917	1612
2	3277	1598
3	7790	1578
0	8123	1534

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 85

Calls

Call 1

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

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

rewrite242.0ms (1.4%)

Memory

18.4MiB live, 347.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	518
0	136	498
1	465	470
2	3233	441
0	9008	426

Stop Event

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

Counts

29 → 750

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) l) (/.f64 (*.f64 M D) d)) #s(literal -1/2 binary64))
(.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d))) (/.f64 #s(literal 1/2 binary64) l))
(.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) l) #s(literal -1 binary64))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 l #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 l) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) l) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) (.f64 (/.f64 #s(literal 1/2 binary64) l) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) l)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) (neg.f64 l)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) l) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 M D) d)))
(.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) (pow.f64 (.f64 l (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 M D) d))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d)) (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) l))
(.f64 (/.f64 (.f64 M D) d) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) l)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) l)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 l) (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 l (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d))) (/.f64 #s(literal -2 binary64) (/.f64 (.f64 M D) d))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal -2 binary64) (/.f64 (.f64 M D) d)) (/.f64 l (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d)))) (neg.f64 (.f64 (neg.f64 l) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 M D) d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) l) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 (.f64 M D) d))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d)) (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 l))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d)) (.f64 (/.f64 (*.f64 M D) d) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) l))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 l) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 M D) d)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 M D) d)) (neg.f64 l))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)))) (neg.f64 (.f64 (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 M D) d)) l)))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (neg.f64 l))))
(/.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) l)) (neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 M D) d))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) #s(literal 1 binary64))) (neg.f64 (.f64 l (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 M D) d)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal -1 binary64) (/.f64 l (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d))))))
(/.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d))) (.f64 (neg.f64 l) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 M D) d))) (neg.f64 l))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) l) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (/.f64 (.f64 M D) d)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d)) (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 l)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d)) (.f64 (/.f64 (*.f64 M D) d) #s(literal -1/4 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d))) (neg.f64 (.f64 (/.f64 l (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 l (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))))))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d))) (neg.f64 (/.f64 l (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)))))
(/.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) l)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 l) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 l #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) l)))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal -1 binary64) (neg.f64 l))))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 l))
(/.f64 (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (.f64 (neg.f64 l) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 M D) d))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) #s(literal 1 binary64)) (.f64 l (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 M D) d))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 l (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 M D) d)) (neg.f64 l)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d))) (.f64 (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 M D) d)) l))
(/.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) l) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 l) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 l #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) l))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 l)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) #s(literal 1 binary64)) l)
(/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (neg.f64 (neg.f64 l)))
(/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 l))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d)) (.f64 (/.f64 l (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))) #s(literal -1 binary64)))
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(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)))
(*.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (pow.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 h)) (pow.f64 (pow.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 h) (pow.f64 l #s(literal -3/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)))
(pow.f64 (exp.f64 (log.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1/2 binary64))
(pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 h))) (neg.f64 (neg.f64 (pow.f64 l #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 h))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3/2 binary64)))) (pow.f64 l #s(literal 3/4 binary64)))
(/.f64 (sqrt.f64 (/.f64 h (*.f64 l l))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (*.f64 h #s(literal 1 binary64))) (pow.f64 l #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h))))
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (pow.f64 l #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)))
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(sqrt.f64 (/.f64 d h))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (.f64 l l)) (pow.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 l (-.f64 l (.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l)) (-.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (.f64 l l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 l (-.f64 l (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64))))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 l l) (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 l (.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (.f64 l l)))) (neg.f64 (neg.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 l (-.f64 l (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l))) (.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l)) (.f64 l l))) (.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l)) (fma.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l))))
(/.f64 (-.f64 (.f64 l l) (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64))) (-.f64 l (.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (.f64 l l))) (neg.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (fma.f64 l l (-.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) l))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 l (-.f64 l (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (.f64 l l)) (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l)))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))) (fma.f64 l l (-.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) l)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 l (-.f64 l (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l)) (-.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (.f64 l l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 l (-.f64 l (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64))))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l)) (-.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (.f64 l l))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 l (-.f64 l (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64))))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))))
(fma.f64 (.f64 (.f64 (*.f64 D D) #s(literal -1/8 binary64)) (pow.f64 (/.f64 d M) #s(literal -2 binary64))) h l)
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) #s(literal -1/8 binary64)) (*.f64 D D) l)
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) D) (*.f64 #s(literal -1/8 binary64) D) l)
(fma.f64 (.f64 (.f64 (*.f64 D D) #s(literal -1/8 binary64)) h) (pow.f64 (/.f64 d M) #s(literal -2 binary64)) l)
(fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) l)
(fma.f64 (/.f64 M d) (.f64 (/.f64 M d) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h)) l)
(fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) l)
(fma.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) l)
(fma.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) (.f64 (.f64 (*.f64 D D) #s(literal -1/8 binary64)) h) l)
(fma.f64 (.f64 D D) (.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h)) l)
(fma.f64 #s(literal -1/8 binary64) (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) l)
(fma.f64 h (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) (.f64 (*.f64 D D) #s(literal -1/8 binary64))) l)
(fma.f64 D (.f64 (.f64 #s(literal -1/8 binary64) D) (*.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h)) l)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l))) (/.f64 (.f64 l l) (fma.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 l))))
(+.f64 (.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)) l)
(+.f64 l (.f64 (.f64 h (pow.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))) #s(literal -1/8 binary64)))
(.f64 (.f64 h (/.f64 M d)) (/.f64 M d))
(.f64 (/.f64 M d) (.f64 (/.f64 M d) h))
(*.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h)
(*.f64 h (pow.f64 (/.f64 d M) #s(literal -2 binary64)))

eval174.0ms (1%)

Memory: -5.4MiB live, 222.7MiB allocated
Compiler: Compiled 44 900 to 3 710 computations (91.7% saved)

prune166.0ms (1%)

Memory

0.2MiB live, 217.2MiB allocated

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	843	25	868
Fresh	21	21	42
Picked	4	1	5
Done	1	2	3
Total	869	49	918

Accuracy

96.7%

Counts

918 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.6%	(fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d))) (.f64 h (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
	39.7%	(/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
	40.0%	(/.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 d)) (sqrt.f64 h))
	38.1%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (.f64 (.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	37.1%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (*.f64 #s(literal -1/8 binary64) D)) D l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	32.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) l) l)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 d)) (sqrt.f64 h))
	32.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (/.f64 (.f64 (/.f64 M d) M) d) h) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	33.1%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) #s(approx (* (/ (/ (* M M) d) d) h) (.f64 (/.f64 (.f64 h M) d) (/.f64 M d))) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	30.3%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (.f64 (neg.f64 d) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) d) (.f64 (neg.f64 h) (.f64 (.f64 (.f64 M M) D) (/.f64 D d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))))) (sqrt.f64 h))
	3.3%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (.f64 (/.f64 d (sqrt.f64 l)) #s(approx (+ ( (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) l) l)))))
	54.4%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	64.9%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	39.9%	(.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)))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64)))
	70.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64)))
	69.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64)))
	56.3%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (/.f64 M d) (.f64 (/.f64 M d) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) h)) l) l)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	30.1%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 d M) #s(literal -2 binary64)) h) (.f64 (*.f64 D D) #s(literal -1/8 binary64)) l) l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
	33.0%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) l) (.f64 d d)) (.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	21.6%	(.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (.f64 (/.f64 h (.f64 l d)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	40.0%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
	40.5%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	10.1%	(.f64 #s(approx ( (+ (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	28.7%	#s(approx (+ (* (sqrt (* (/ d h) d)) (pow l -1/2)) (* (* (* -1/2 (/ h l)) (pow (* (/ d M) (/ 2 D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	57.5%	#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 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	47.5%	#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 (.f64 (neg.f64 D) D) (.f64 #s(literal -1/8 binary64) (.f64 M M))) (neg.f64 d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	49.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (.f64 D D) d) M) (.f64 #s(literal -1/8 binary64) M)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) d)) h))
	53.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) D) (/.f64 D d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	16.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	53.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 D (.f64 (/.f64 D d) (.f64 #s(literal -1/8 binary64) (.f64 M M)))) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	24.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d)) #s(literal 2 binary64)) (.f64 (.f64 d d) (/.f64 h l))) (.f64 h (.f64 (sqrt.f64 (/.f64 h l)) (-.f64 (.f64 (/.f64 h l) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d)) d)))))
	71.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (/.f64 h l) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) d)) h))
	19.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
	37.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	13.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (* (/ h l) (sqrt (/ h l)))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	70.9%	#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(literal 1 binary64) (/.f64 h (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (/.f64 h l) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) d)))))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) d))
	16.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l))))
✓	24.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	33.6%	#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))))
	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)))) #s(approx (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 D D)) (.f64 (neg.f64 M) (/.f64 M d))) #s(literal 1/8 binary64) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))))
	17.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (/ (* -1/2 (pow (* (/ d M) (/ 2 D)) -2)) l) h) 1)) (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))

Compiler

Compiled 7 766 to 2 212 computations (71.5% saved)

regimes288.0ms (1.7%)

Memory

-6.5MiB live, 416.3MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

51.0ms	l
48.0ms	(.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))))
39.0ms	D
38.0ms	h
34.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
83.7%	3	`d`
83.2%	4	`h`
79.9%	2	`l`
71.0%	1	`M`
72.9%	2	`D`
76.7%	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))))`
72.9%	2	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes33.0ms (0.2%)

Memory

23.5MiB live, 69.1MiB allocated

Counts

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

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
84.2%	4	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes107.0ms (0.6%)

Memory

-5.9MiB live, 108.7MiB allocated

Counts

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

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

Calls

3 calls:

67.0ms	l
20.0ms	d
16.0ms	h

Results

Accuracy	Segments	Branch
78.6%	3	`l`
80.5%	4	`h`
84.5%	5	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes28.0ms (0.2%)

Memory

-23.4MiB live, 31.3MiB allocated

Counts

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

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

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
81.9%	4	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes64.0ms (0.4%)

Memory

3.0MiB live, 116.8MiB allocated

Counts

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

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

Calls

4 calls:

16.0ms	d
16.0ms	l
15.0ms	h
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
74.5%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
75.6%	3	`l`
75.5%	3	`h`
78.2%	4	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes16.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
78.1%	4	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes116.0ms (0.7%)

Memory

-10.8MiB live, 146.8MiB allocated

Counts

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

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

Calls

7 calls:

23.0ms	d
22.0ms	(*.f64 M D)
16.0ms	D
15.0ms	M
13.0ms	l

Results

Accuracy	Segments	Branch
64.0%	3	`M`
72.1%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
61.7%	2	`D`
65.6%	4	`(*.f64 M D)`
72.8%	5	`h`
72.7%	5	`l`
73.8%	5	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes31.0ms (0.2%)

Memory

1.8MiB live, 46.3MiB allocated

Counts

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

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

Calls

2 calls:

15.0ms	d
13.0ms	h

Results

Accuracy	Segments	Branch
72.8%	5	`h`
71.1%	5	`d`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes39.0ms (0.2%)

Memory

-0.3MiB live, 38.3MiB allocated

Counts

39 → 4

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	h
11.0ms	l

Results

Accuracy	Segments	Branch
70.8%	5	`l`
70.6%	4	`h`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes65.0ms (0.4%)

Memory

-9.5MiB live, 66.5MiB allocated

Counts

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

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

Calls

4 calls:

22.0ms	l
19.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
11.0ms	d
11.0ms	h

Results

Accuracy	Segments	Branch
66.3%	4	`l`
65.1%	4	`d`
71.1%	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))))`
63.0%	3	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes10.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
69.5%	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 35 to 22 computations (37.1% saved)

regimes149.0ms (0.9%)

Memory

-19.3MiB live, 137.6MiB allocated

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

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

Calls

7 calls:

75.0ms	h
25.0ms	d
11.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
9.0ms	(*.f64 M D)
9.0ms	D

Results

Accuracy	Segments	Branch
53.3%	1	`h`
57.6%	2	`D`
62.6%	4	`d`
59.3%	2	`M`
57.2%	2	`(*.f64 M D)`
58.8%	3	`l`
65.4%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes9.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

27 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
63.8%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes59.0ms (0.3%)

Memory

-29.9MiB live, 25.3MiB allocated

Counts

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

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

Calls

3 calls:

42.0ms

(*.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))))

8.0ms

7.0ms

Results

Accuracy	Segments	Branch
52.1%	2	`M`
61.7%	6	`d`
63.9%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes70.0ms (0.4%)

Memory

17.6MiB live, 90.8MiB allocated

Counts

22 → 4

Calls

Call 1

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

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

Calls

7 calls:

19.0ms	h
7.0ms	D
7.0ms	M
7.0ms	l
7.0ms	d

Results

Accuracy	Segments	Branch
48.6%	2	`M`
52.2%	4	`h`
54.2%	4	`d`
48.5%	2	`(*.f64 M D)`
49.7%	2	`l`
47.3%	3	`D`
54.1%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes45.0ms (0.3%)

Memory

3.3MiB live, 40.4MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

31.0ms

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
49.7%	2	`l`
52.0%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
48.9%	2	`d`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes34.0ms (0.2%)

Memory

-10.0MiB live, 35.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

19.0ms	d
2.0ms	M
2.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms	l
2.0ms	D

Results

Accuracy	Segments	Branch
28.7%	1	`D`
28.7%	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))))`
30.4%	2	`(*.f64 M D)`
28.7%	1	`M`
44.7%	2	`d`
43.5%	2	`h`
45.5%	2	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes41.0ms (0.2%)

Memory

-9.9MiB live, 27.8MiB allocated

Accuracy

Total -0.2b remaining (-0.3%)

Threshold costs -0.2b (-0.3%)

Counts

3 → 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))

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

Calls

7 calls:

30.0ms	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))))
2.0ms	l
2.0ms	h
2.0ms	M

Results

Accuracy	Segments	Branch
25.1%	1	`M`
25.1%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
25.1%	1	`D`
25.1%	1	`(*.f64 M D)`
25.1%	1	`h`
25.1%	1	`d`
25.1%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch275.0ms (1.6%)

Memory

21.3MiB live, 221.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
147.0ms	7.62350445835214e-191	2.5924065135933667e-188
115.0ms	-3.347535740776544e-69	-1.837442055442437e-72

Samples

187.0ms	320×	0	invalid
55.0ms	256×	0	valid

Compiler

Compiled 1 462 to 990 computations (32.3% saved)

Precisions

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

ival-div: 78.0ms (46.3% of total)

ival-mult: 56.0ms (33.2% of total)

ival-pow2: 20.0ms (11.9% of total)

ival-pow: 12.0ms (7.1% of total)

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

exact: 1.0ms (0.6% of total)

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

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

bsearch113.0ms (0.7%)

Memory

-20.4MiB live, 95.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
2.0ms	7.62350445835214e-191	2.5924065135933667e-188
47.0ms	-7.375346842764401e-47	-1.0147911774268605e-47
43.0ms	-2.112072326754744e+107	-7.829529355534347e+106

Samples

42.0ms	176×	0	valid
34.0ms	174×	0	invalid

Compiler

Compiled 1 619 to 1 120 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 26.0ms (40.7% of total)

ival-pow2: 16.0ms (25.1% of total)

ival-mult: 11.0ms (17.2% of total)

ival-pow: 8.0ms (12.5% of total)

ival-sub: 2.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch131.0ms (0.8%)

Memory

-8.1MiB live, 116.3MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
48.0ms	1.1790099845144453e-86	1.068158424299255e-82
56.0ms	3.401074346849439e-274	1.11234224467927e-272
1.0ms	-7.375346842764401e-47	-1.0147911774268605e-47
1.0ms	-2.112072326754744e+107	-7.829529355534347e+106

Samples

44.0ms	291×	0	invalid
41.0ms	240×	0	valid

Compiler

Compiled 2 138 to 1 386 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 27.0ms (40.6% of total)

ival-mult: 17.0ms (25.5% of total)

ival-pow: 14.0ms (21% of total)

ival-pow2: 5.0ms (7.5% of total)

ival-sub: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

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

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

bsearch5.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.1790099845144453e-86	1.068158424299255e-82
1.0ms	3.401074346849439e-274	1.11234224467927e-272
1.0ms	-7.375346842764401e-47	-1.0147911774268605e-47

Compiler

Compiled 1 763 to 1 106 computations (37.3% saved)

bsearch121.0ms (0.7%)

Memory

12.2MiB live, 50.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.1790099845144453e-86	1.068158424299255e-82
78.0ms	3.401074346849439e-274	1.11234224467927e-272
33.0ms	-1.115496550257627e-177	-8.475475225890425e-179

Samples

77.0ms	176×	0	valid
22.0ms	178×	0	invalid

Compiler

Compiled 1 842 to 1 113 computations (39.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 61.0ms (70.9% of total)

ival-div: 12.0ms (13.9% of total)

ival-pow: 8.0ms (9.3% of total)

ival-pow2: 3.0ms (3.5% of total)

ival-sub: 2.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch116.0ms (0.7%)

Memory

-8.2MiB live, 63.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
58.0ms	3.651874705737036e-109	9.997155471072356e-107
1.0ms	3.401074346849439e-274	1.11234224467927e-272
1.0ms	-1.115496550257627e-177	-8.475475225890425e-179

Samples

33.0ms	128×	0	valid
16.0ms	129×	0	invalid

Compiler

Compiled 1 818 to 1 105 computations (39.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 9.0ms (34% of total)

ival-mult: 8.0ms (30.2% of total)

ival-pow: 5.0ms (18.9% of total)

ival-pow2: 3.0ms (11.3% of total)

ival-sub: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch140.0ms (0.8%)

Memory

1.1MiB live, 130.3MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
25.0ms	3.651874705737036e-109	9.997155471072356e-107
1.0ms	3.401074346849439e-274	1.11234224467927e-272
52.0ms	-5.224388572744043e-108	-2.4831819670395275e-109
53.0ms	-3.668188131811433e+103	-1.466231381758771e+102

Samples

53.0ms	224×	0	invalid
35.0ms	224×	0	valid

Compiler

Compiled 2 637 to 1 675 computations (36.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 31.0ms (50% of total)

ival-mult: 14.0ms (22.6% of total)

ival-pow: 10.0ms (16.1% of total)

ival-pow2: 5.0ms (8.1% of total)

ival-sub: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch354.0ms (2%)

Memory

15.0MiB live, 173.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
110.0ms	1.2702183183834061e+126	2.35476578669737e+138
63.0ms	5.400736202357968e-102	7.063878294678273e-102
42.0ms	-1.0721227999700816e-103	-1.8890506496929877e-105
119.0ms	-1102124071958921.9	-580.0849002998708

Samples

206.0ms	492×	0	invalid
75.0ms	480×	0	valid

Compiler

Compiled 2 882 to 1 829 computations (36.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-pow2: 107.0ms (43.4% of total)

ival-mult: 70.0ms (28.4% of total)

ival-div: 33.0ms (13.4% of total)

ival-pow: 30.0ms (12.2% of total)

ival-sub: 4.0ms (1.6% of total)

ival-true: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

bsearch16.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	3267638829366548.5	3595879166410432.5
1.0ms	-1.0721227999700816e-103	-1.8890506496929877e-105
2.0ms	-1102124071958921.9	-580.0849002998708

Samples

5.0ms	32×	0	valid
4.0ms	25×	0	invalid

Compiler

Compiled 1 979 to 1 241 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (31.3% of total)

ival-mult: 2.0ms (31.3% of total)

ival-pow: 2.0ms (31.3% of total)

ival-pow2: 1.0ms (15.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.258368671788578e+253	2.142282137402739e+283
0.0ms	0.0	7.747961539302774e-265
0.0ms	-6.104010295717856e-89	-8.929533318684089e-200
0.0ms	-inf	-6.207867099246624e+284

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.258368671788578e+253	2.142282137402739e+283
0.0ms	0.0	7.747961539302774e-265
0.0ms	-6.104010295717856e-89	-8.929533318684089e-200

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.258368671788578e+253	2.142282137402739e+283
0.0ms	7.747961539302774e-265	4.2025914650257804e-244
0.0ms	-inf	-6.207867099246624e+284

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.258368671788578e+253	2.142282137402739e+283
0.0ms	7.747961539302774e-265	4.2025914650257804e-244
0.0ms	-inf	-6.207867099246624e+284

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.258368671788578e+253	2.142282137402739e+283
0.0ms	0.0	7.747961539302774e-265
0.0ms	-1.1409109726213693e-77	-6.104010295717856e-89

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch237.0ms (1.4%)

Memory

-30.9MiB live, 211.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
86.0ms	-3.6455814556288596e-308	1.1182612242291271e-303
63.0ms	-3.2238137507208628e-167	-3.012002373641534e-173
58.0ms	-6.28341802027162e+52	-3.6126308261597166e+49

Samples

84.0ms	416×	0	valid
82.0ms	380×	0	invalid

Compiler

Compiled 2 574 to 1 679 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 73.0ms (55.5% of total)

ival-div: 27.0ms (20.5% of total)

ival-pow: 18.0ms (13.7% of total)

ival-pow2: 8.0ms (6.1% of total)

ival-sub: 4.0ms (3% of total)

ival-true: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

bsearch51.0ms (0.3%)

Memory

29.0MiB live, 67.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	1.5117102278978614e-285	3.691521128682932e-284

Samples

24.0ms	112×	0	valid
14.0ms	99×	0	invalid

Compiler

Compiled 654 to 436 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 7.0ms (29.4% of total)

ival-mult: 7.0ms (29.4% of total)

ival-pow: 7.0ms (29.4% of total)

ival-pow2: 2.0ms (8.4% of total)

ival-sub: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.2%)

Memory

-21.9MiB live, 17.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.5117102278978614e-285	3.691521128682932e-284

Samples

19.0ms	32×	0	valid
3.0ms	20×	0	invalid

Compiler

Compiled 647 to 429 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 16.0ms (78.9% of total)

ival-mult: 2.0ms (9.9% of total)

ival-pow: 2.0ms (9.9% of total)

ival-pow2: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify93.0ms (0.5%)

Memory

22.0MiB live, 61.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	3897
1	419	3897
2	684	3897
3	1948	3897
4	4428	3897
5	7595	3897

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -738214179045777/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 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)))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal 4702927978231049/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (/.f64 h l) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) d)) h)) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))))
(if (<=.f64 d #s(literal -209999999999999996710164060898024403243792766483692405436302274546360203804833074297043484651670087984480256 binary64)) (.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal -8392073242338151/822752278660603021077484591278675252491367932816789931674304512 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal 4702927978231049/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (/.f64 h l) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) d)) h)) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h)))))
(if (<=.f64 d #s(literal -209999999999999996710164060898024403243792766483692405436302274546360203804833074297043484651670087984480256 binary64)) (.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal -8392073242338151/822752278660603021077484591278675252491367932816789931674304512 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal 6699903382837499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (/.f64 h l) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) d)) h)) (if (<=.f64 d #s(literal 551187182645319/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d))) (.f64 h (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) l)) (/.f64 d (sqrt.f64 (.f64 h l)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64)))))))
(if (<=.f64 d #s(literal -8392073242338151/822752278660603021077484591278675252491367932816789931674304512 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64))) (if (<=.f64 d #s(literal 6699903382837499/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (fma.f64 (/.f64 h l) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) d)) h)) (if (<=.f64 d #s(literal 551187182645319/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d))) (.f64 h (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) l)) (/.f64 d (sqrt.f64 (.f64 h l)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) l)) h #s(literal 1 binary64))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

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

soundness2.4s (14.1%)

Memory

-170.1MiB live, 1 968.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	518
0	136	498
1	465	470
2	3233	441
0	9008	426
0	22	72
0	38	68
1	124	67
2	836	67
0	8769	65
0	76	423
0	127	402
1	420	387
2	2842	363
0	9115	363
0	343	1992
1	1035	1861
2	3763	1837
0	8130	1790
0	306	1710
1	917	1612
2	3277	1598
3	7790	1578
0	8123	1534
0	339	1670
1	1011	1583
2	3515	1568
0	8378	1522
0	147	635
1	413	593
2	1514	584
3	4190	568
4	7941	568
0	8163	552
0	77	430
0	121	423
1	379	410
2	2463	378
0	8694	378

Stop Event

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

Compiler

Compiled 10 096 to 3 926 computations (61.1% saved)

preprocess142.0ms (0.8%)

Memory

14.4MiB live, 285.6MiB allocated

Remove

(abs M)

(abs D)

Compiler

Compiled 10 196 to 1 452 computations (85.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze531.0ms (3.1%)

sample6.4s (36.7%)

explain340.0ms (2%)

preprocess185.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify121.0ms (0.7%)

localize105.0ms (0.6%)

series69.0ms (0.4%)

simplify136.0ms (0.8%)

rewrite161.0ms (0.9%)

eval66.0ms (0.4%)

prune54.0ms (0.3%)

simplify145.0ms (0.8%)

localize254.0ms (1.5%)

series176.0ms (1%)

simplify209.0ms (1.2%)

rewrite179.0ms (1%)

eval171.0ms (1%)

prune143.0ms (0.8%)

simplify144.0ms (0.8%)

localize267.0ms (1.5%)

series196.0ms (1.1%)

simplify131.0ms (0.8%)

rewrite204.0ms (1.2%)

eval112.0ms (0.6%)

prune70.0ms (0.4%)

simplify136.0ms (0.8%)

localize307.0ms (1.8%)

series129.0ms (0.7%)

simplify151.0ms (0.9%)

rewrite242.0ms (1.4%)

eval174.0ms (1%)

prune166.0ms (1%)

regimes288.0ms (1.7%)

regimes33.0ms (0.2%)

regimes107.0ms (0.6%)

regimes28.0ms (0.2%)

regimes64.0ms (0.4%)

regimes16.0ms (0.1%)

regimes116.0ms (0.7%)

regimes31.0ms (0.2%)

regimes39.0ms (0.2%)

regimes65.0ms (0.4%)

regimes10.0ms (0.1%)

regimes149.0ms (0.9%)

regimes9.0ms (0.1%)

regimes59.0ms (0.3%)

regimes70.0ms (0.4%)

regimes45.0ms (0.3%)

regimes34.0ms (0.2%)

regimes41.0ms (0.2%)

bsearch275.0ms (1.6%)

bsearch113.0ms (0.7%)

bsearch131.0ms (0.8%)

bsearch5.0ms (0%)

bsearch121.0ms (0.7%)

bsearch116.0ms (0.7%)

bsearch140.0ms (0.8%)

bsearch354.0ms (2%)

bsearch16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch237.0ms (1.4%)

bsearch51.0ms (0.3%)

bsearch26.0ms (0.2%)

simplify93.0ms (0.5%)

soundness2.4s (14.1%)

preprocess142.0ms (0.8%)

end0.0ms (0%)

Profiling