Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze446.0ms (2.8%)

Memory

1.8MiB live, 637.6MiB 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)

sample5.7s (35.5%)

Memory

-21.5MiB live, 6 503.3MiB allocated

Samples

2.6s	13 181×	0	invalid
1.8s	8 256×	0	valid

Precisions

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

ival-div: 1.2s (37% of total)

ival-mult: 851.0ms (26% of total)

ival-pow: 732.0ms (22.4% of total)

ival-pow2: 281.0ms (8.6% of total)

ival-sub: 148.0ms (4.5% of total)

exact: 23.0ms (0.7% of total)

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

ival-assert: 9.0ms (0.3% of total)

Bogosity

explain347.0ms (2.2%)

Memory

-7.0MiB live, 549.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
65	-	4	(-3.820342241668501e-132 -5.587732917411916e+181 -8.13786933239485e-28 4.157191297356313e+99 3.710695215314138e+69)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
57	-	3	(-2.601797516893613e-156 -1.702899583668212e-217 -9.049222013326815e+160 -1.6343178244777925e-190 -2.5400253770158783e+92)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
41	-	1	(3.173400446390284e-114 4.062945149052001e+267 3.0703190155776754e+20 1.2012667166106851e-78 -8.219379825511548e-192)	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
22	-	2	(1.2762427344607645e-45 2.3254748896486657e-220 1.086439419312752e-70 1.7003425102432714e-203 3.396189023649571e-116)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
21	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	36	0
↳	`(/.f64 d l)`	overflow	36
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	32	0
↳	`(/.f64 d h)`	overflow	32
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	29	0
↳	`(/.f64 d h)`	underflow	29
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	18	0
↳	`(/.f64 d l)`	underflow	18
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	10	0
↳	`(*.f64 M D)`	overflow	26
`*.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**	9	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))))`	*no**	8	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**	7	0
↳	`(/.f64 d h)`	underflow	29
↳	`(/.f64 d l)`	underflow	18
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	15
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	76
↳	`(.f64 (/.f64 #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	76
↳	`(/.f64 h l)`	overflow	39
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	82
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	82
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	37
`*.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**	6	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	76
↳	`(.f64 (/.f64 #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	76
↳	`(*.f64 M D)`	overflow	26
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	37
↳	`(/.f64 h l)`	underflow	19
`*.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**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	84
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	84
↳	`(*.f64 M D)`	underflow	30
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	42
↳	`(/.f64 h l)`	overflow	39
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	30

Confusion

	Predicted +	Predicted -
+	65	11
-	41	139

Precision

0.6132075471698113

Recall

0.8552631578947368

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	11
-	41	0	139

Precision?

0.6132075471698113

Recall?

0.8552631578947368

Freqs

test

number	freq
0	150
1	61
2	35
3	9
4	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

112.0ms

512×

valid

Compiler

Compiled 501 to 92 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-pow: 24.0ms (33.9% of total)

ival-div: 21.0ms (29.7% of total)

ival-mult: 17.0ms (24% of total)

ival-pow2: 5.0ms (7.1% of total)

ival-sub: 2.0ms (2.8% of total)

ival-true: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

preprocess161.0ms (1%)

Memory

30.8MiB live, 190.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	1960	548
3	4611	548
0	22	29
0	38	27
1	67	27
2	174	27
3	1054	27
4	3441	27
5	6724	27
0	8027	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.3%	(.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))))

Status

Accuracy

Program

▶

71.3%

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify99.0ms (0.6%)

Memory

-13.1MiB live, 100.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.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	174	126
3	1054	126
4	3441	126
5	6724	126
0	8027	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)

localize74.0ms (0.5%)

Memory

10.6MiB live, 90.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	5.0075282212235575	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	9.421258891417203	(.f64 (.f64 (/.f64 #s(literal 1 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	13.051769069441972	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	15.007467915412457	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 310 to 46 computations (85.2% saved)

Precisions

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

ival-pow: 19.0ms (43.7% of total)

ival-div: 12.0ms (27.6% of total)

ival-mult: 8.0ms (18.4% of total)

ival-pow2: 3.0ms (6.9% 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)

series51.0ms (0.3%)

Memory

7.1MiB live, 82.7MiB allocated

Counts

6 → 32

Calls

Call 1

Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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
7.0ms	d	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	l	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	l	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 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)))))

simplify133.0ms (0.8%)

Memory

1.7MiB live, 115.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	635
1	413	593
2	1500	584
3	4172	568
4	7950	568
0	8170	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 M M)) (.f64 D D)) (/.f64 #s(literal 1/8 binary64) d) (.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))

rewrite177.0ms (1.1%)

Memory

-7.3MiB live, 156.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
0	38	68
1	124	67
2	828	67
0	8730	65

Stop Event

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

Counts

6 → 454

Calls

Call 1

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

eval87.0ms (0.5%)

Memory: -5.4MiB live, 108.5MiB allocated
Compiler: Compiled 20 228 to 1 523 computations (92.5% saved)

prune33.0ms (0.2%)

Memory

13.0MiB live, 87.3MiB allocated

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	450	26	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	451	26	477

Accuracy

92.5%

Counts

477 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	48.5%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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)))
	71.2%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	42.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (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))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
▶	35.9%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (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))) (sqrt.f64 d)) (sqrt.f64 h))
	42.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	32.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	61.5%	(/.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 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	61.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	71.3%	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
▶	72.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	69.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (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)))
	64.6%	(.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 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 D M)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D M)))))
▶	23.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
	41.8%	(.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))))
	71.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	42.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	34.9%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	35.9%	(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (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))) (sqrt.f64 d)) (pow.f64 h #s(literal -1/2 binary64)))
	43.8%	#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 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
▶	13.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))
	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 (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))
	14.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
	14.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	30.7%	#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 1 990 to 1 390 computations (30.2% saved)

simplify249.0ms (1.5%)

Memory

-7.3MiB live, 153.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (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))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d 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 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d))
cost-diff	0	(/.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))
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 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
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	320	(.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	700
0	140	684
1	265	684
2	730	678
3	3866	678
4	6312	678
0	8500	674

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

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

localize264.0ms (1.6%)

Memory

-24.1MiB live, 356.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.078731648173378	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.502467196042325	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.5789399352564315	(.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))
accuracy	14.749405844728676	#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)))
accuracy	1.0191477587829563	(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (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))) (sqrt.f64 d))
accuracy	2.5848074569621353	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	3.857613612674541	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	6.078731648173378	(sqrt.f64 (/.f64 d l))
accuracy	5.896767539746826	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d))
accuracy	8.216633621522476	(sqrt.f64 (*.f64 l h))
accuracy	10.50502398890865	(/.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))
accuracy	11.117932416738178	(sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h))
accuracy	0.1171875	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.20587349094933532	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	8.531707692930667	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	14.031523330238793	#s(approx (* (* (pow (/ 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	2.8005257784275632	(*.f64 M (/.f64 h l))
accuracy	3.431578140112061	(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
accuracy	6.078731648173378	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.502467196042325	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

102.0ms	139×	0	invalid
75.0ms	117×	0	valid

Compiler

Compiled 1 424 to 162 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 50.0ms (41.2% of total)

ival-div: 30.0ms (24.7% of total)

ival-pow: 23.0ms (19% of total)

ival-sqrt: 10.0ms (8.2% of total)

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

ival-pow2: 3.0ms (2.5% 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)

series202.0ms (1.3%)

Memory

42.0MiB live, 306.4MiB allocated

Counts

25 → 93

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
45.0ms	d	@	inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (* (/ (/ (* M M) d) d) h) -1/8) (/ (* D D) l)))
40.0ms	D	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (* (/ (/ (* M M) d) d) h) -1/8) (/ (* D D) l)))
12.0ms	h	@	-inf	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (* (/ (/ (* M M) d) d) h) -1/8) (/ (* D D) l)))
12.0ms	l	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (* (/ (/ (* M M) d) d) h) -1/8) (/ (* D D) l)))
12.0ms	h	@	0	((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (sqrt h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (sqrt (/ (pow l 3) h)) (sqrt (* l h)) (sqrt (/ d l)) (* (/ 2 M) (/ d D)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (* (/ (/ (* M M) d) d) h) -1/8) (/ (* D D) l)))

simplify194.0ms (1.2%)

Memory

-39.3MiB live, 176.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	372	2055
1	1129	1912
2	4127	1891
3	7767	1884
0	8165	1831

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 93

Calls

Call 1

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

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

rewrite260.0ms (1.6%)

Memory

30.5MiB live, 257.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	422
0	135	414
1	419	399
2	2559	375
0	8696	375

Stop Event

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

Counts

25 → 869

Calls

Call 1

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

Outputs
(*.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 (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 (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 (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 l #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.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 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.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 (/.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)))
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal -1/2 binary64) M) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M D))
(.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) M)
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 (*.f64 M D) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 M (/.f64 d D)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(.f64 M (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 M (/.f64 d D)) #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 d (sqrt.f64 (*.f64 l h))))
(.f64 (/.f64 d (pow.f64 (.f64 l h) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l h) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 l h) #s(literal 1/4 binary64))) (/.f64 d (pow.f64 (*.f64 l h) #s(literal 1/4 binary64))))
(*.f64 (/.f64 d (sqrt.f64 h)) (pow.f64 l #s(literal -1/2 binary64)))
(.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 d l) (/.f64 d h)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 h)))
(*.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -1/2 binary64)))
(.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 (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 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))
(.f64 (sqrt.f64 d) (sqrt.f64 (pow.f64 (.f64 h (/.f64 l d)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 d) (pow.f64 (pow.f64 (.f64 h (/.f64 l d)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d)
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(.f64 d (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (/.f64 d l) (/.f64 d h)) (*.f64 (/.f64 d l) (/.f64 d h))) #s(literal 1/4 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 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #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 #s(literal 1 binary64) d)) (neg.f64 (sqrt.f64 (.f64 l h))))
(/.f64 (neg.f64 (.f64 d #s(literal 1 binary64))) (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 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 (neg.f64 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 #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 (/.f64 h d) l)))
(/.f64 (sqrt.f64 (.f64 (neg.f64 d) d)) (sqrt.f64 (.f64 (neg.f64 h) l)))
(/.f64 (sqrt.f64 (.f64 d #s(literal 1 binary64))) (sqrt.f64 (.f64 h (/.f64 l d))))
(/.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 (.f64 d #s(literal 1 binary64)) (sqrt.f64 (.f64 l h)))
(/.f64 (.f64 #s(literal 1 binary64) d) (sqrt.f64 (.f64 l h)))
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))
(/.f64 (neg.f64 d) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))
(/.f64 d (sqrt.f64 (*.f64 (neg.f64 h) (neg.f64 l))))
(/.f64 d (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (/.f64 (*.f64 (/.f64 d l) d) h))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(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 d l) (/.f64 d h))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 l h))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 l h)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 h #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64)))
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 (/.f64 l #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))
(pow.f64 (.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64)) (pow.f64 (*.f64 l h) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64))
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(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 d D))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal -2 binary64))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (.f64 (/.f64 d D) #s(literal 1 binary64))) (neg.f64 (.f64 M #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (neg.f64 d))) (neg.f64 (neg.f64 D)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64))) (neg.f64 (/.f64 D d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d))) (neg.f64 (neg.f64 D)))
(/.f64 (neg.f64 (.f64 (neg.f64 d) #s(literal -2 binary64))) (neg.f64 (.f64 (neg.f64 D) (neg.f64 M))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (neg.f64 d))) (neg.f64 (.f64 (neg.f64 M) (neg.f64 D))))
(/.f64 (neg.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 D) (*.f64 M #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (neg.f64 (.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) d)) (neg.f64 (.f64 (*.f64 M #s(literal 1/2 binary64)) D)))
(/.f64 (neg.f64 (.f64 d #s(literal 1 binary64))) (neg.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) M)) (neg.f64 (/.f64 D d)))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)))) (exp.f64 (log.f64 M)))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d))) (exp.f64 (log.f64 D)))
(/.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) d))) (exp.f64 (log.f64 (.f64 M D))))
(/.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal 2 binary64) M)) (neg.f64 D))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 d D)) (neg.f64 M))
(/.f64 (*.f64 (/.f64 d D) #s(literal -2 binary64)) (neg.f64 M))
(/.f64 (.f64 (/.f64 d D) #s(literal 1 binary64)) (.f64 M #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (neg.f64 d)) (neg.f64 D))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64)) (/.f64 D d))
(/.f64 (neg.f64 (/.f64 d D)) (neg.f64 (*.f64 M #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64))) (neg.f64 M))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d)) (neg.f64 D))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) d)) (neg.f64 (.f64 (neg.f64 M) D)))
(/.f64 (.f64 (neg.f64 d) #s(literal -2 binary64)) (.f64 (neg.f64 D) (neg.f64 M)))
(/.f64 (.f64 (neg.f64 d) #s(literal 1 binary64)) (.f64 (neg.f64 D) (*.f64 M #s(literal 1/2 binary64))))
(/.f64 (.f64 d #s(literal 1 binary64)) (.f64 (*.f64 M D) #s(literal 1/2 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (neg.f64 d)) (.f64 (neg.f64 M) (neg.f64 D)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 d)) (.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D)))
(/.f64 (.f64 #s(literal 1 binary64) d) (.f64 (*.f64 M #s(literal 1/2 binary64)) D))
(/.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)) M)
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) D)
(/.f64 (.f64 #s(literal -2 binary64) d) (.f64 (neg.f64 M) D))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 M (/.f64 d D)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (/.f64 D d) M)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 M (/.f64 D d))))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 D d) (neg.f64 M)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 M) (/.f64 D d)))
(/.f64 (/.f64 d D) (*.f64 M #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 D d))
(/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (/.f64 D d) (neg.f64 M))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 M) (/.f64 D d))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M))
(/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d)))
(/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 M (/.f64 d D)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 M) D)) (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 (neg.f64 M) D)))
(exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) h)))
(.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 D) D) l))
(.f64 (/.f64 (.f64 (*.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) l) (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) l) (/.f64 h (pow.f64 D #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/8 binary64) h) l) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (pow.f64 D #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) h) l) (/.f64 #s(literal -1/8 binary64) (pow.f64 D #s(literal -2 binary64))))
(.f64 (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l) (/.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 D #s(literal -2 binary64))))
(.f64 (/.f64 (/.f64 (.f64 M M) d) l) (/.f64 (.f64 (pow.f64 d #s(literal -1 binary64)) (.f64 #s(literal -1/8 binary64) h)) (pow.f64 D #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) h) (pow.f64 D #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 D) D) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) l))
(.f64 (.f64 (/.f64 (.f64 D D) l) (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64))
(.f64 (.f64 (/.f64 (.f64 D D) l) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) h))
(.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) D) (/.f64 D l))
(.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 D D)) (pow.f64 l #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) h))
(.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 (.f64 (*.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (pow.f64 D #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 D D) l) (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (/.f64 (.f64 D D) l))
(.f64 (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) h) (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)))
(.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) h) (/.f64 (.f64 D D) l)))
(.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 h (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64))))
(.f64 (/.f64 h l) (/.f64 (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (pow.f64 D #s(literal -2 binary64))))
(.f64 (.f64 D D) (.f64 (pow.f64 l #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64)))))
(.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) h) (/.f64 (.f64 D D) l)))
(.f64 D (.f64 (/.f64 D l) (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64)))))
(.f64 h (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64))))
(pow.f64 (/.f64 l (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 D D))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 D) D) (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))))) (neg.f64 (/.f64 l (.f64 D D))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) h) (.f64 (/.f64 (*.f64 D D) l) #s(literal -1/8 binary64)))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 D) D))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 l (.f64 D D))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 D D)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64)))) (neg.f64 (/.f64 l (*.f64 D D))))
(/.f64 (.f64 (.f64 (neg.f64 D) D) (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64)))) (neg.f64 l))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64)))) (/.f64 l (.f64 D D)))
(/.f64 (.f64 (.f64 (/.f64 (.f64 M M) d) h) (.f64 (/.f64 (*.f64 D D) l) #s(literal -1/8 binary64))) d)
(/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 (neg.f64 D) D)) (neg.f64 l))
(/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 l (.f64 D D)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 D D))) (neg.f64 l))
(/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 D D)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 D D)))))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (/.f64 l (*.f64 D D)))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 (.f64 (.f64 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (.f64 D D))))

eval118.0ms (0.7%)

Memory: -1.8MiB live, 187.9MiB allocated
Compiler: Compiled 48 807 to 4 353 computations (91.1% saved)

prune90.0ms (0.6%)

Memory

-4.5MiB live, 159.8MiB allocated

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	942	39	981
Fresh	12	9	21
Picked	3	2	5
Done	0	0	0
Total	957	50	1 007

Accuracy

94.5%

Counts

1 007 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 (/.f64 h l) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	48.5%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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)))
	37.7%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
	38.0%	(/.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 d)) (sqrt.f64 h))
	36.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 M (/.f64 d D)) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 M (/.f64 d D)) #s(literal 1/2 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	35.5%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	42.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (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))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
✓	35.9%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (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))) (sqrt.f64 d)) (sqrt.f64 h))
	42.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	11.7%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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))
	11.0%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (.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))))))) (sqrt.f64 h))
	2.0%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
	61.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	14.9%	(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) h))))
	71.4%	(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	29.2%	(.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 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) D) (/.f64 D l))))
▶	72.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	42.5%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	26.3%	(.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	21.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d))) (*.f64 l l)))
	16.2%	#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)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	43.8%	#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 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	29.5%	#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 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
	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 (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))
	18.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (pow.f64 l #s(literal 3/2 binary64)) d) d (.f64 (sqrt.f64 h) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (.f64 l h))))) (.f64 (sqrt.f64 h) d)) (.f64 l l)))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	17.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
	20.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	24.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
▶	11.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l)))
	9.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (.f64 l l)))
	9.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)))) (.f64 l l)))
▶	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	21.9%	#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 (.f64 l l) (fma.f64 (sqrt.f64 (.f64 l h)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (*.f64 (/.f64 (pow.f64 l #s(literal 3/2 binary64)) (sqrt.f64 h)) d)))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
	2.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal -1 binary64))))) d))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
▶	14.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	14.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d))))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
	46.0%	#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 d l)) (sqrt.f64 (/.f64 d h))))
✓	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	30.7%	#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)))))
▶	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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	34.3%	#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) d) h)))
	39.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))

Compiler

Compiled 4 547 to 3 019 computations (33.6% saved)

simplify141.0ms (0.9%)

Memory

18.9MiB live, 171.7MiB 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	6656	(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 M M)
cost-diff	0	(.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)))
cost-diff	0	(.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
cost-diff	0	(.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))
cost-diff	0	#s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h)))))
cost-diff	0	(/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l)))
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 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
cost-diff	320	(.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	603
0	121	586
1	226	586
2	657	580
3	3617	580
4	5835	580
0	8078	573

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

localize292.0ms (1.8%)

Memory

16.3MiB live, 332.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)
accuracy	5.123904662897441	(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))
accuracy	16.029458824920596	(log.f64 (*.f64 l h))
accuracy	46.89358516935806	#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	11.774930916053316	(.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
accuracy	15.141412400510557	(.f64 (.f64 M M) (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)))
accuracy	22.922368894326887	(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy	47.57268410992452	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
accuracy	15.796700766005806	(sqrt.f64 (*.f64 l h))
accuracy	21.90055097117926	(/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l))
accuracy	29.774714731707935	#s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h)))))
accuracy	33.91798719166946	#s(approx (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))) (*.f64 l l)))
accuracy	0.0	(*.f64 l h)
accuracy	0.22265625	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	15.796700766005806	(sqrt.f64 (*.f64 l h))
accuracy	46.89358516935806	#s(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	6.849855218159803	(*.f64 M (/.f64 h l))
accuracy	8.305653957837093	(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
accuracy	13.051769069441972	(sqrt.f64 (/.f64 d l))
accuracy	15.007467915412457	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

220.0ms

256×

valid

Compiler

Compiled 1 157 to 154 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 49.0ms (36.3% of total)

ival-sqrt: 30.0ms (22.2% of total)

ival-div: 26.0ms (19.3% of total)

ival-pow: 16.0ms (11.9% of total)

ival-exp: 3.0ms (2.2% of total)

ival-log: 3.0ms (2.2% of total)

ival-pow2: 3.0ms (2.2% of total)

ival-add: 2.0ms (1.5% of total)

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

exact: 1.0ms (0.7% of total)

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

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

series358.0ms (2.2%)

Memory

-39.6MiB live, 369.1MiB allocated

Counts

25 → 63

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
115.0ms	h	@	0	((pow (/ d h) (/ 1 2)) (/ 1 2) (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (* (/ (* D D) d) (sqrt (* l h)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) (* (/ (* D D) d) -1/8)) (sqrt (/ h (pow l 3)))) (* (* M M) (* (/ (* D D) d) -1/8)) (* M M) (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)) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (sqrt (/ h (pow l 3))) (log (* l h)))
51.0ms	l	@	-inf	((pow (/ d h) (/ 1 2)) (/ 1 2) (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (* (/ (* D D) d) (sqrt (* l h)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) (* (/ (* D D) d) -1/8)) (sqrt (/ h (pow l 3)))) (* (* M M) (* (/ (* D D) d) -1/8)) (* M M) (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)) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (sqrt (/ h (pow l 3))) (log (* l h)))
50.0ms	h	@	-inf	((pow (/ d h) (/ 1 2)) (/ 1 2) (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (* (/ (* D D) d) (sqrt (* l h)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) (* (/ (* D D) d) -1/8)) (sqrt (/ h (pow l 3)))) (* (* M M) (* (/ (* D D) d) -1/8)) (* M M) (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)) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (sqrt (/ h (pow l 3))) (log (* l h)))
30.0ms	h	@	inf	((pow (/ d h) (/ 1 2)) (/ 1 2) (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (* (/ (* D D) d) (sqrt (* l h)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) (* (/ (* D D) d) -1/8)) (sqrt (/ h (pow l 3)))) (* (* M M) (* (/ (* D D) d) -1/8)) (* M M) (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)) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (sqrt (/ h (pow l 3))) (log (* l h)))
23.0ms	l	@	0	((pow (/ d h) (/ 1 2)) (/ 1 2) (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (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 (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* l l)) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (* (* (* M M) -1/8) (* (/ (* D D) d) (sqrt (* l h)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) (* (/ (* D D) d) -1/8)) (sqrt (/ h (pow l 3)))) (* (* M M) (* (/ (* D D) d) -1/8)) (* M M) (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)) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (sqrt (/ h (pow l 3))) (log (* l h)))

simplify184.0ms (1.1%)

Memory

39.4MiB live, 228.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	1107
1	640	1031
2	2146	1022
3	4031	1006
4	7717	1006
0	8038	987

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

Calls

Call 1

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

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

rewrite164.0ms (1%)

Memory

-23.7MiB live, 137.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	448
0	121	430
1	364	420
2	2304	400
0	8183	392

Stop Event

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

Counts

25 → 517

Calls

Call 1

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

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

eval128.0ms (0.8%)

Memory: 1.0MiB live, 184.2MiB allocated
Compiler: Compiled 30 216 to 2 341 computations (92.3% saved)

prune88.0ms (0.5%)

Memory

-25.7MiB live, 177.4MiB allocated

Pruning

48 alts after pruning (45 fresh and 3 done)

	Pruned	Kept	Total
New	549	21	570
Fresh	19	24	43
Picked	3	2	5
Done	1	1	2
Total	572	48	620

Accuracy

94.9%

Counts

620 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.8%	(fma.f64 (.f64 (.f64 (.f64 (/.f64 h l) M) #s(literal 1/2 binary64)) (/.f64 D d)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) M) (.f64 (/.f64 D d) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
	48.5%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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)))
	37.7%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))
	38.0%	(/.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 d)) (sqrt.f64 h))
	36.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 M (/.f64 d D)) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 M (/.f64 d D)) #s(literal 1/2 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	42.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (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))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	42.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	11.7%	(/.f64 (.f64 (.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d 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))
	2.0%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
▶	61.5%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	29.2%	(.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 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) D) (/.f64 D l))))
▶	42.5%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	35.7%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	71.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
▶	72.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	26.3%	(.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (/.f64 (.f64 D D) l) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	29.5%	#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 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
	18.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (pow.f64 l #s(literal 3/2 binary64)) d) d (.f64 (sqrt.f64 h) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (.f64 l h))))) (.f64 (sqrt.f64 h) d)) (.f64 l l)))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) l) l))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
▶	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	20.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	24.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
	11.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (.f64 D D) (sqrt.f64 (.f64 l h)))) d)) (*.f64 l l)))
	15.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (.f64 l h))) d)) (*.f64 l l)))
	14.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) (sqrt.f64 (.f64 l h))) M) (.f64 #s(literal -1/8 binary64) M))) (*.f64 l l)))
	15.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 l) (.f64 (sqrt.f64 h) (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64))))) (*.f64 l l)))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (.f64 (.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (.f64 (.f64 l h) (*.f64 l h))))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	25.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 l h))) d))
	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 l)) (/.f64 (sqrt.f64 h) l)))
	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) l) (/.f64 (sqrt.f64 h) (sqrt.f64 l))))
	2.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
▶	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) M) (*.f64 #s(literal -1/8 binary64) M)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	28.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) l)))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
	46.0%	#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 d l)) (sqrt.f64 (/.f64 d h))))
✓	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	30.7%	#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)))))
✓	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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	2.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 #s(approx (log (* l h)) (-.f64 (log.f64 (neg.f64 l)) (log.f64 (/.f64 #s(literal -1 binary64) h)))) #s(literal -1/2 binary64))) d))
	15.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 M (.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) #s(literal -1/8 binary64)) M) (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)))))
	34.3%	#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) d) h)))
	39.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))

Compiler

Compiled 4 401 to 2 889 computations (34.4% saved)

simplify119.0ms (0.7%)

Memory

13.5MiB live, 131.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 #s(literal 2 binary64) M) (/.f64 d 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 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
cost-diff	0	(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
cost-diff	0	(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
cost-diff	320	(.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M))
cost-diff	0	(*.f64 (/.f64 d h) (neg.f64 d))
cost-diff	0	(sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d)))
cost-diff	0	(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
cost-diff	0	(sqrt.f64 (*.f64 l h))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
cost-diff	0	(sqrt.f64 (/.f64 d h))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
cost-diff	320	(.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	532
0	113	528
1	221	524
2	626	512
3	3901	512
4	6975	512
0	8172	510

Stop Event

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

Calls

Call 1

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

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

localize291.0ms (1.8%)

Memory

18.1MiB live, 210.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.6393252706385826	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
accuracy	3.08251652154341	(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
accuracy	3.9047598245932886	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	11.176898183935856	(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy	3.110703514673159	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)
accuracy	4.04932943973224	(*.f64 M (/.f64 h l))
accuracy	4.874075817725033	(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
accuracy	6.973037421268591	(sqrt.f64 (/.f64 d l))
accuracy	0.05859375	(*.f64 (/.f64 d h) (neg.f64 d))
accuracy	1.2942465135887773	(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
accuracy	10.619824498506505	(sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d)))
accuracy	16.01073309534951	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
accuracy	0.10546875	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	7.580067144483332	(sqrt.f64 (*.f64 l h))
accuracy	32.86206183911922	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
accuracy	4.04932943973224	(*.f64 M (/.f64 h l))
accuracy	4.874075817725033	(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
accuracy	6.973037421268591	(sqrt.f64 (/.f64 d l))
accuracy	7.505000719370134	(sqrt.f64 (/.f64 d h))

Samples

125.0ms	139×	0	valid
58.0ms	117×	0	invalid

Compiler

Compiled 1 075 to 139 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 48.0ms (33.8% of total)

ival-pow2: 36.0ms (25.3% of total)

ival-div: 20.0ms (14.1% of total)

ival-pow: 15.0ms (10.5% of total)

ival-sqrt: 12.0ms (8.4% of total)

ival-add: 6.0ms (4.2% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

series170.0ms (1.1%)

Memory

-23.3MiB live, 101.5MiB allocated

Counts

25 → 47

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
45.0ms	d	@	0	((* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (sqrt (/ d h)) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) (neg d))) (sqrt (neg l))) (sqrt (* (/ d h) (neg d))) (* (/ d h) (neg d)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ d l))) (/ (sqrt (neg d)) (sqrt (neg h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (sqrt (/ d l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (* (* (/ 1/2 d) D) M) (sqrt (* (/ (/ d l) h) d)) (* (/ 2 M) (/ d D)))
40.0ms	D	@	inf	((* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (sqrt (/ d h)) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) (neg d))) (sqrt (neg l))) (sqrt (* (/ d h) (neg d))) (* (/ d h) (neg d)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ d l))) (/ (sqrt (neg d)) (sqrt (neg h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (sqrt (/ d l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (* (* (/ 1/2 d) D) M) (sqrt (* (/ (/ d l) h) d)) (* (/ 2 M) (/ d D)))
30.0ms	h	@	-inf	((* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (sqrt (/ d h)) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) (neg d))) (sqrt (neg l))) (sqrt (* (/ d h) (neg d))) (* (/ d h) (neg d)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ d l))) (/ (sqrt (neg d)) (sqrt (neg h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (sqrt (/ d l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (* (* (/ 1/2 d) D) M) (sqrt (* (/ (/ d l) h) d)) (* (/ 2 M) (/ d D)))
8.0ms	d	@	-inf	((* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (sqrt (/ d h)) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) (neg d))) (sqrt (neg l))) (sqrt (* (/ d h) (neg d))) (* (/ d h) (neg d)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ d l))) (/ (sqrt (neg d)) (sqrt (neg h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (sqrt (/ d l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (* (* (/ 1/2 d) D) M) (sqrt (* (/ (/ d l) h) d)) (* (/ 2 M) (/ d D)))
6.0ms	d	@	inf	((* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (sqrt (/ d h)) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) (neg d))) (sqrt (neg l))) (sqrt (* (/ d h) (neg d))) (* (/ d h) (neg d)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ d l))) (+ (* (* -1/2 (* (* (/ 1/2 d) D) M)) (* (* (/ D d) 1/2) (* M (/ h l)))) 1)) (* (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ d l))) (/ (sqrt (neg d)) (sqrt (neg h))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (sqrt (/ d l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* M (/ h l)) (* (* (/ 1/2 d) D) M) (sqrt (* (/ (/ d l) h) d)) (* (/ 2 M) (/ d D)))

simplify134.0ms (0.8%)

Memory

19.6MiB live, 139.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	734
1	489	696
2	1703	691
3	3720	684
4	6297	684
0	8240	668

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

rewrite372.0ms (2.3%)

Memory

-5.2MiB live, 311.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	320
0	113	301
1	371	276
2	2506	252
0	8964	252

Stop Event

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

Counts

25 → 1 783

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal -1/2 binary64) M) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M D))
(.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) M)
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 (*.f64 M D) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal -1/2 binary64))
(.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M #s(literal -1/2 binary64)))
(.f64 M (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 d l) h))) (sqrt.f64 d))
(.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (.f64 (sqrt.f64 d) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 d) (.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) 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)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) 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)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) 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)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) 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)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) 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)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
(/.f64 (+.f64 (pow.f64 (/.f64 d (sqrt.f64 (.f64 l h))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 d l) h) d (-.f64 (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(literal 2 binary64)) (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))))))
(/.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 d) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 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 d) #s(literal 1/2 binary64)) M) #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)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 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 d) #s(literal 1/2 binary64)) M) #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 d) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 d (sqrt.f64 l)) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sqrt.f64 d)) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 h)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 d) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)))) (/.f64 d (sqrt.f64 (.f64 l h))))) (neg.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l)))) (neg.f64 (sqrt.f64 (neg.f64 h))))
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(/.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 d) #s(literal 1/2 binary64)) M) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 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 d) #s(literal 1/2 binary64)) M) #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 d) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)))))) (neg.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 d l) h) d))) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 d (sqrt.f64 l)) (.f64 (.f64 (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l))) (/.f64 d (sqrt.f64 l))) (sqrt.f64 (neg.f64 h)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) (/.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 (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (sqrt.f64 (.f64 l h)))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 d l) h) d) (.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (*.f64 l h))))))))
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(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 d D))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal -2 binary64))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (.f64 (/.f64 d D) #s(literal 1 binary64))) (neg.f64 (.f64 M #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64))) (/.f64 D d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)))) (neg.f64 (neg.f64 M)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d))) (neg.f64 (neg.f64 D)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) M)) (/.f64 D d))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)))) (exp.f64 (log.f64 M)))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d))) (exp.f64 (log.f64 D)))
(/.f64 (exp.f64 (log.f64 (.f64 #s(literal -2 binary64) d))) (exp.f64 (log.f64 (.f64 M D))))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 d D)) (neg.f64 M))
(/.f64 (*.f64 (/.f64 d D) #s(literal -2 binary64)) (neg.f64 M))
(/.f64 (.f64 (/.f64 d D) #s(literal 1 binary64)) (.f64 M #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64)) (/.f64 D d))
(/.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64))) (neg.f64 M))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d)) (neg.f64 (neg.f64 D)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d)) (neg.f64 D))
(/.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)) M)
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) (neg.f64 D))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) D)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (/.f64 D d) M)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 M (/.f64 D d))))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 D d) (neg.f64 M)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 M) (/.f64 D d)))
(/.f64 (/.f64 d D) (neg.f64 (*.f64 M #s(literal 1/2 binary64))))
(/.f64 (/.f64 d D) (*.f64 M #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 D d))
(/.f64 (.f64 #s(literal -2 binary64) d) (neg.f64 (.f64 (neg.f64 D) (neg.f64 M))))
(/.f64 (.f64 #s(literal -2 binary64) d) (neg.f64 (.f64 (neg.f64 M) (neg.f64 D))))
(/.f64 (.f64 #s(literal -2 binary64) d) (neg.f64 (.f64 (neg.f64 M) D)))
(/.f64 (.f64 #s(literal -2 binary64) d) (.f64 (neg.f64 D) (neg.f64 M)))
(/.f64 (.f64 #s(literal -2 binary64) d) (.f64 (neg.f64 M) (neg.f64 D)))
(/.f64 (.f64 #s(literal -2 binary64) d) (.f64 (neg.f64 M) D))
(/.f64 (.f64 #s(literal -2 binary64) d) (.f64 M D))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (/.f64 D d) (neg.f64 M))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 M) (/.f64 D d))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M))
(/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d)))
(/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))
(/.f64 d (neg.f64 (.f64 (neg.f64 D) (.f64 M #s(literal 1/2 binary64)))))
(/.f64 d (neg.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (neg.f64 D))))
(/.f64 d (neg.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) D)))
(/.f64 d (neg.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64))))
(/.f64 d (.f64 (neg.f64 D) (.f64 M #s(literal 1/2 binary64))))
(/.f64 d (.f64 (.f64 M #s(literal 1/2 binary64)) (neg.f64 D)))
(/.f64 d (.f64 (.f64 M #s(literal 1/2 binary64)) D))
(/.f64 d (.f64 (.f64 M D) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 M) D)) (.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 D)) (.f64 M #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M))))

eval154.0ms (1%)

Memory: -2.6MiB live, 272.6MiB allocated
Compiler: Compiled 45 155 to 3 770 computations (91.7% saved)

prune144.0ms (0.9%)

Memory

12.9MiB live, 247.5MiB allocated

Pruning

56 alts after pruning (51 fresh and 5 done)

	Pruned	Kept	Total
New	1 157	21	1 178
Fresh	10	30	40
Picked	3	2	5
Done	0	3	3
Total	1 170	56	1 226

Accuracy

95.3%

Counts

1 226 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 #s(literal -1/2 binary64) M) (.f64 (/.f64 D d) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 (/.f64 h l) M) #s(literal 1/2 binary64)) (/.f64 D d)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	23.7%	(fma.f64 (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) (.f64 (.f64 (/.f64 h l) M) (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	48.5%	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d 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)))
	38.0%	(/.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 d)) (sqrt.f64 h))
	36.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 M (/.f64 d D)) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 M (/.f64 d D)) #s(literal 1/2 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	42.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (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))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	2.0%	(/.f64 #s(approx (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d l))) (sqrt d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))) (sqrt.f64 h))
	61.8%	(.f64 (fma.f64 (/.f64 D d) (.f64 (.f64 (.f64 (/.f64 h l) M) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) M) (.f64 (/.f64 D d) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	60.6%	(.f64 (fma.f64 (.f64 (/.f64 h l) M) (.f64 (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 (/.f64 d l) h) d)))
	35.3%	(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	71.4%	(.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	35.5%	(.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 (/.f64 d l) d))) (sqrt.f64 (neg.f64 h))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	31.8%	(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	40.3%	(.f64 (/.f64 d (neg.f64 (sqrt.f64 (.f64 l h)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	29.2%	(.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 #s(literal -1/8 binary64) h) (pow.f64 (/.f64 M d) #s(literal 2 binary64))) D) (/.f64 D l))))
	42.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	42.1%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (/.f64 (.f64 (.f64 h M) (.f64 D #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))
	71.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (/.f64 (.f64 (.f64 (/.f64 h l) M) (.f64 D #s(literal 1/2 binary64))) d) #s(literal 1 binary64)))
	69.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (/.f64 (.f64 (.f64 h M) (.f64 D #s(literal 1/2 binary64))) (*.f64 l d)) #s(literal 1 binary64)))
	71.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 #s(approx (* -1/2 (* (* (/ 1/2 d) D) M)) (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64))) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	50.6%	(.f64 #s(approx (+ ( (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (.f64 D D) d) l) l)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
	31.5%	(.f64 #s(approx ( (sqrt (/ d h)) (sqrt (/ d l))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	40.2%	(.f64 #s(approx ( (sqrt (/ d h)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (.f64 (.f64 (/.f64 D d) #s(literal 1/2 binary64)) (.f64 M (/.f64 h l))) #s(literal 1 binary64)))
	29.5%	#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 M M) #s(literal -1/8 binary64)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (.f64 l (sqrt.f64 (/.f64 l h))) d)) (.f64 l l)))
	18.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (pow.f64 l #s(literal 3/2 binary64)) d) d (.f64 (sqrt.f64 h) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (.f64 l h))))) (.f64 (sqrt.f64 h) d)) (.f64 l l)))
	16.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (sqrt.f64 (.f64 l h)) (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) l) l))
	3.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 l))))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
	28.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (neg.f64 (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (neg.f64 l))))
	4.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 d d)))) (sqrt.f64 (neg.f64 l))))
✓	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	24.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))))
	11.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (/.f64 (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (.f64 D D) (sqrt.f64 (.f64 l h)))) d)) (*.f64 l l)))
	15.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (.f64 l h))) d)) (*.f64 l l)))
	14.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) (sqrt.f64 (.f64 l h))) M) (.f64 #s(literal -1/8 binary64) M))) (*.f64 l l)))
	15.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (sqrt.f64 l) (.f64 (sqrt.f64 h) (.f64 (/.f64 (pow.f64 (.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64))))) (*.f64 l l)))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (.f64 (.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	22.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (.f64 (.f64 l h) (*.f64 l h))))))
	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 l)) (/.f64 (sqrt.f64 h) l)))
	17.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) l) (/.f64 (sqrt.f64 h) (sqrt.f64 l))))
	23.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 l) (sqrt.f64 h))) d))
✓	25.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	17.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) M) (*.f64 #s(literal -1/8 binary64) M)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	28.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 (/.f64 h l)) l)))
	25.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
	46.0%	#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 d l)) (sqrt.f64 (/.f64 d h))))
✓	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
	30.7%	#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)))))
✓	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 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
	2.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (exp.f64 (.f64 #s(approx (log (* l h)) (-.f64 (log.f64 (neg.f64 l)) (log.f64 (/.f64 #s(literal -1 binary64) h)))) #s(literal -1/2 binary64))) d))
	15.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 M (.f64 (.f64 (.f64 (.f64 (/.f64 D d) D) #s(literal -1/8 binary64)) M) (.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)))))
	34.3%	#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) d) h)))
	39.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))

Compiler

Compiled 7 351 to 2 254 computations (69.3% saved)

regimes268.0ms (1.7%)

Memory

-18.8MiB live, 500.2MiB allocated

Counts

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

Outputs

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

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

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

Calls

7 calls:

53.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
40.0ms	M
36.0ms	(*.f64 M D)
33.0ms	l
33.0ms	d

Results

Accuracy	Segments	Branch
82.9%	3	`d`
83.4%	3	`h`
82.9%	3	`l`
72.1%	1	`M`
75.3%	2	`D`
76.9%	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))))`
74.9%	2	`(*.f64 M D)`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes69.0ms (0.4%)

Memory

-2.8MiB live, 41.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
83.1%	3	`h`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes80.0ms (0.5%)

Memory

13.1MiB live, 124.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

27.0ms	d
25.0ms	l
23.0ms	h

Results

Accuracy	Segments	Branch
81.9%	3	`d`
81.7%	3	`l`
80.1%	2	`h`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes72.0ms (0.4%)

Memory

15.9MiB live, 97.3MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

24.0ms	d
22.0ms	h
21.0ms	l

Results

Accuracy	Segments	Branch
78.8%	2	`h`
80.4%	3	`l`
80.5%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes51.0ms (0.3%)

Memory

1.0MiB live, 76.0MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

16.0ms	d
16.0ms	h
15.0ms	l

Results

Accuracy	Segments	Branch
78.2%	2	`h`
78.2%	2	`l`
79.9%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes61.0ms (0.4%)

Memory

-13.1MiB live, 76.5MiB allocated

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

28.0ms	d
16.0ms	l
14.0ms	h

Results

Accuracy	Segments	Branch
77.4%	2	`l`
77.4%	2	`h`
79.5%	3	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes98.0ms (0.6%)

Memory

-16.9MiB live, 101.8MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

37.0ms	d
30.0ms	h
13.0ms	l
12.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
76.9%	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))))`
76.7%	3	`h`
76.9%	3	`l`
78.4%	3	`d`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes23.0ms (0.1%)

Memory

31.6MiB live, 31.6MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

11.0ms

10.0ms

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

Results

Accuracy	Segments	Branch
78.4%	3	`d`
76.6%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes27.0ms (0.2%)

Memory

0.5MiB live, 36.9MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

16.0ms

9.0ms

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

Results

Accuracy	Segments	Branch
76.6%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
76.8%	4	`d`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes136.0ms (0.8%)

Memory

4.3MiB live, 80.3MiB allocated

Counts

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

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

Calls

7 calls:

43.0ms	M
39.0ms	(.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))))
10.0ms	l
10.0ms	D
10.0ms	d

Results

Accuracy	Segments	Branch
76.8%	4	`d`
69.9%	1	`M`
71.9%	2	`(*.f64 M D)`
71.6%	2	`h`
71.9%	2	`D`
71.6%	2	`l`
73.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes119.0ms (0.7%)

Memory

-23.5MiB live, 93.9MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

41.0ms	d
23.0ms	l
10.0ms	h
10.0ms	D
9.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
73.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
71.7%	3	`h`
71.7%	3	`l`
70.7%	3	`(*.f64 M D)`
68.8%	2	`D`
69.9%	2	`d`

Compiler

Compiled 42 to 48 computations (-14.3% saved)

regimes21.0ms (0.1%)

Memory

33.5MiB live, 33.5MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

10.0ms

9.0ms

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

Results

Accuracy	Segments	Branch
67.5%	3	`M`
72.0%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes23.0ms (0.1%)

Memory

-0.1MiB live, 37.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

11.0ms

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

10.0ms

Results

Accuracy	Segments	Branch
71.7%	3	`l`
69.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes56.0ms (0.3%)

Memory

-18.7MiB live, 63.5MiB allocated

Counts

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

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

Calls

4 calls:

24.0ms	l
14.0ms	d
9.0ms	h
7.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
69.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
62.5%	3	`d`
58.9%	2	`h`
65.2%	4	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes64.0ms (0.4%)

Memory

-4.3MiB live, 73.1MiB allocated

Counts

23 → 4

Calls

Call 1

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

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

Calls

7 calls:

16.0ms	D
12.0ms	h
7.0ms	M
7.0ms	d
7.0ms	l

Results

Accuracy	Segments	Branch
54.4%	3	`h`
59.2%	4	`d`
52.4%	2	`l`
51.8%	2	`M`
51.7%	3	`D`
51.0%	2	`(*.f64 M D)`
54.3%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes14.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

21 → 4

Calls

Call 1

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

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

Calls

2 calls:

7.0ms

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
54.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
56.4%	4	`d`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes20.0ms (0.1%)

Memory

-36.1MiB live, 10.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
54.4%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes15.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

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

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

Calls

3 calls:

5.0ms

4.0ms

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

Results

Accuracy	Segments	Branch
52.6%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
50.3%	2	`h`
50.3%	2	`d`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes23.0ms (0.1%)

Memory

-6.2MiB live, 32.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

5.0ms	(*.f64 M D)
4.0ms	M
4.0ms	l
4.0ms	d
4.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
50.3%	2	`d`
43.2%	2	`(*.f64 M D)`
41.8%	2	`M`
49.9%	2	`l`
48.6%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
50.3%	2	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes9.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

4 → 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)))))

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

4 calls:

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

Results

Accuracy	Segments	Branch
46.6%	2	`l`
35.2%	3	`D`
46.2%	2	`h`
47.4%	2	`d`

Compiler

Compiled 4 to 20 computations (-400% saved)

regimes16.0ms (0.1%)

Memory

-9.9MiB live, 29.4MiB allocated

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

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:

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	M
2.0ms	d
2.0ms	D

Results

Accuracy	Segments	Branch
25.8%	1	`D`
25.8%	1	`M`
25.8%	1	`(*.f64 M D)`
25.8%	1	`h`
25.8%	1	`l`
25.8%	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))))`
25.8%	1	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch238.0ms (1.5%)

Memory

16.5MiB live, 170.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
77.0ms	-8.416467777924275e-306	2.475904187428337e-307
149.0ms	-3.662581033528785e+63	-1.2019212444275551e+58

Samples

141.0ms	272×	0	valid
56.0ms	231×	0	invalid

Compiler

Compiled 1 070 to 916 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 114.0ms (72.8% of total)

ival-div: 17.0ms (10.9% of total)

ival-pow: 17.0ms (10.9% of total)

ival-pow2: 5.0ms (3.2% of total)

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

exact: 1.0ms (0.6% of total)

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

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

bsearch15.0ms (0.1%)

Memory

-29.9MiB live, 8.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-8.416467777924275e-306	2.475904187428337e-307
2.0ms	-3.662581033528785e+63	-1.2019212444275551e+58

Compiler

Compiled 1 038 to 900 computations (13.3% saved)

bsearch133.0ms (0.8%)

Memory

1.2MiB live, 164.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
71.0ms	-2.951816968578419e-304	7.485978784707153e-295
40.0ms	-3.771093650744519e-129	-1.2800079558515045e-130

Samples

62.0ms	272×	0	valid
25.0ms	210×	0	invalid

Compiler

Compiled 1 033 to 854 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-pow: 27.0ms (38.4% of total)

ival-mult: 18.0ms (25.6% of total)

ival-div: 17.0ms (24.2% of total)

ival-pow2: 5.0ms (7.1% of total)

ival-sub: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-2.951816968578419e-304	7.485978784707153e-295
2.0ms	-3.771093650744519e-129	-1.2800079558515045e-130

Compiler

Compiled 1 123 to 864 computations (23.1% saved)

bsearch4.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-2.951816968578419e-304	7.485978784707153e-295
1.0ms	-3.771093650744519e-129	-1.2800079558515045e-130

Compiler

Compiled 1 123 to 894 computations (20.4% saved)

bsearch4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-2.951816968578419e-304	7.485978784707153e-295
1.0ms	-3.771093650744519e-129	-1.2800079558515045e-130

Compiler

Compiled 1 093 to 874 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch39.0ms (0.2%)

Memory

-1.8MiB live, 42.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-2.951816968578419e-304	7.485978784707153e-295
35.0ms	-3.771093650744519e-129	-1.2800079558515045e-130

Samples

10.0ms	64×	0	valid
5.0ms	39×	0	invalid

Compiler

Compiled 1 072 to 853 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (34.8% of total)

ival-mult: 3.0ms (26.1% of total)

ival-pow: 3.0ms (26.1% of total)

ival-pow2: 1.0ms (8.7% 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

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch127.0ms (0.8%)

Memory

-23.1MiB live, 93.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
73.0ms	5.711453893085417e-161	3.315041761319113e-153
10.0ms	-2.951816968578419e-304	7.485978784707153e-295
2.0ms	-3.771093650744519e-129	-1.2800079558515045e-130

Samples

42.0ms	144×	0	valid
20.0ms	162×	0	invalid

Compiler

Compiled 1 611 to 1 275 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-pow: 26.0ms (51% of total)

ival-div: 10.0ms (19.6% of total)

ival-mult: 10.0ms (19.6% of total)

ival-pow2: 3.0ms (5.9% of total)

ival-sub: 1.0ms (2% 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

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.32236988378555e-202	8.818396394167423e-201
0.0ms	-4.517575141039819e-130	-0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.32236988378555e-202	8.818396394167423e-201
0.0ms	-4.517575141039819e-130	-0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch143.0ms (0.9%)

Memory

-15.9MiB live, 71.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	9.36156603403288e+202	1.2958725870041371e+203
78.0ms	-2.6161445347911726e-303	5.132590814666052e-306

Samples

53.0ms	188×	0	invalid
30.0ms	192×	0	valid

Compiler

Compiled 791 to 609 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-pow: 38.0ms (54.6% of total)

ival-div: 13.0ms (18.7% of total)

ival-mult: 12.0ms (17.2% of total)

ival-pow2: 4.0ms (5.7% of total)

ival-sub: 2.0ms (2.9% 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

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.32236988378555e-202

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch145.0ms (0.9%)

Memory

13.2MiB live, 134.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
66.0ms	170949506594801.1	133416333615146190.0
2.0ms	-2.951816968578419e-304	7.485978784707153e-295
66.0ms	-1.5773128091894172e-204	-9.503359780640395e-207

Samples

73.0ms	240×	0	valid
41.0ms	247×	0	invalid

Compiler

Compiled 2 979 to 1 882 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-pow: 41.0ms (42.1% of total)

ival-div: 32.0ms (32.9% of total)

ival-mult: 15.0ms (15.4% of total)

ival-pow2: 5.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch99.0ms (0.6%)

Memory

6.0MiB live, 121.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	170949506594801.1	133416333615146190.0
90.0ms	3.2014342858042504e-291	5.872029953842524e-279
1.0ms	-1.5773128091894172e-204	-9.503359780640395e-207

Samples

51.0ms	160×	0	invalid
27.0ms	160×	0	valid

Compiler

Compiled 2 979 to 1 882 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 15.0ms (39.6% of total)

ival-mult: 10.0ms (26.4% of total)

ival-pow: 7.0ms (18.5% of total)

ival-pow2: 3.0ms (7.9% of total)

ival-sub: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.951816968578419e-304	7.485978784707153e-295
1.0ms	-1.5773128091894172e-204	-9.503359780640395e-207

Compiler

Compiled 1 589 to 1 020 computations (35.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.517575141039819e-130	-0.0

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch88.0ms (0.5%)

Memory

-1.8MiB live, 116.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
82.0ms	3.8878148332818745e-179	1.4924787242395403e-175

Samples

50.0ms	135×	0	invalid
20.0ms	128×	0	valid

Compiler

Compiled 742 to 494 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 40.0ms (65.3% of total)

ival-mult: 11.0ms (18% of total)

ival-pow: 6.0ms (9.8% of total)

ival-pow2: 3.0ms (4.9% of total)

ival-sub: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.8878148332818745e-179	1.4924787242395403e-175

Compiler

Compiled 742 to 494 computations (33.4% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.5773128091894172e-204	-9.503359780640395e-207

Compiler

Compiled 647 to 429 computations (33.7% saved)

simplify54.0ms (0.3%)

Memory

-7.5MiB live, 115.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	2615
1	371	2615
2	412	2615
3	452	2615
4	477	2615
5	493	2615
6	575	2615
7	693	2615

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 h #s(literal -34999999999999997336519927456365734682298844479534892318720 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (/.f64 (.f64 (.f64 h M) (.f64 D #s(literal 1/2 binary64))) (.f64 l d)) #s(literal 1 binary64))) (if (<=.f64 h #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (/.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 d)) (sqrt.f64 h))))
(if (<=.f64 h #s(literal -34999999999999997336519927456365734682298844479534892318720 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (/.f64 (.f64 (.f64 h M) (.f64 D #s(literal 1/2 binary64))) (.f64 l d)) #s(literal 1 binary64))) (if (<=.f64 h #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))))
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(if (<=.f64 d #s(literal -7663244278350619/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472 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 d (neg.f64 (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (neg.f64 l)))) (if (<=.f64 d #s(literal 807557462926431/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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 (sqrt.f64 (.f64 (.f64 l h) (.f64 l h)))))) (if (<=.f64 d #s(literal 175000000000000 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (* l h))) (* (sqrt (/ (pow l 3) h)) d)) (.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) d) (sqrt.f64 (.f64 l h))))) (.f64 l l))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))))))
(if (<=.f64 d #s(literal -7663244278350619/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472 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 d (neg.f64 (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (neg.f64 l)))) (if (<=.f64 d #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (sqrt.f64 (.f64 (.f64 l h) (.f64 l h)))))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -1248699420126397/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 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 (sqrt.f64 (.f64 (.f64 l h) (.f64 l h)))))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))))
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(if (<=.f64 d #s(literal 3065960095042115/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 d #s(literal -7663244278350619/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

Outputs
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(if (<=.f64 h #s(literal -34999999999999997336519927456365734682298844479534892318720 binary64)) (.f64 (fma.f64 (.f64 (.f64 M (.f64 D (/.f64 #s(literal 1/2 binary64) d))) #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 M h)) (.f64 l d)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))) (if (<=.f64 h #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (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))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (/.f64 (.f64 (/.f64 d (sqrt.f64 l)) (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 h))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

soundness2.1s (13.3%)

Memory

1.2MiB live, 1 783.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	635
1	413	593
2	1500	584
3	4172	568
4	7950	568
0	8170	552
0	69	320
0	113	301
1	371	276
2	2506	252
0	8964	252
0	22	72
0	38	68
1	124	67
2	828	67
0	8730	65
0	82	448
0	121	430
1	364	420
2	2304	400
0	8183	392
0	372	2055
1	1129	1912
2	4127	1891
3	7767	1884
0	8165	1831
0	81	422
0	135	414
1	419	399
2	2559	375
0	8696	375
0	174	734
1	489	696
2	1703	691
3	3720	684
4	6297	684
0	8240	668

Stop Event

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

Compiler

Compiled 11 178 to 4 128 computations (63.1% saved)

preprocess174.0ms (1.1%)

Memory: 31.2MiB live, 263.3MiB allocated
Remove: (abs M)
Compiler: Compiled 6 624 to 1 218 computations (81.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated