Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

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

analyze548.0ms (3.5%)

Memory

8.3MiB live, 908.9MiB allocated; 138ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.9s (37.6%)

Memory

129.6MiB live, 6 480.8MiB allocated; 2.4s collecting garbage

Samples

2.3s	13 274×	0	invalid
1.6s	8 256×	0	valid

Precisions

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

ival-mult: 943.0ms (31.6% of total)

ival-div: 898.0ms (30.1% of total)

ival-pow: 647.0ms (21.7% of total)

ival-pow2: 301.0ms (10.1% of total)

ival-sub: 142.0ms (4.8% of total)

exact: 24.0ms (0.8% of total)

ival-true: 16.0ms (0.5% of total)

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

adjust: 7.0ms (0.2% of total)

Bogosity

explain420.0ms (2.7%)

Memory

23.6MiB live, 778.3MiB allocated; 131ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
60	-	3	(-1.1166396854214032e-201 -53115587.79324658 -5.496616875634324e+121 1.295615578472617e+48 0.00024219736300427333)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
56	-	2	(-1.406636689704369e-190 -1.1801559036993095e+125 -1.565397607332773e-251 5.274344069006127e+188 1.2458132220617539e-259)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
38	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
27	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
18	-	1	(-5.79796333516584e-273 -3.3446867686312983e+25 -4.906530788265921e-103 -9.4218554148648e-244 -9.495255556846375e-81)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	30	0
↳	`(/.f64 d l)`	overflow	30
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	29	0
↳	`(/.f64 d h)`	overflow	29
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	27	0
↳	`(/.f64 d l)`	underflow	27
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	25	0
↳	`(/.f64 d h)`	underflow	25
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 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**	13	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	12	0
↳	`(*.f64 M D)`	overflow	32
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	12	0
↳	`(/.f64 d h)`	underflow	25
↳	`(/.f64 d l)`	underflow	27
↳	`(*.f64 (pow.f64 (/.f64 d 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	16
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	83
↳	`(.f64 (/.f64 #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	83
↳	`(/.f64 h l)`	overflow	30
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	95
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	95
↳	`(*.f64 M D)`	overflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	41
`*.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**	7	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))))`	*nu**	2	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	82
↳	`(.f64 (/.f64 #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	82
↳	`(*.f64 M D)`	underflow	24
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	40
↳	`(/.f64 h l)`	overflow	30
`*.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**	1	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	83
↳	`(.f64 (/.f64 #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	83
↳	`(*.f64 M D)`	overflow	32
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	41
↳	`(/.f64 h l)`	underflow	20

Confusion

	Predicted +	Predicted -
+	83	9
-	27	137

Precision

0.7545454545454545

Recall

0.9021739130434783

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	83	0	9
-	27	0	137

Precision?

0.7545454545454545

Recall?

0.9021739130434783

Freqs

test

number	freq
0	146
1	71
2	29
3	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

134.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 27.0ms (37.3% of total)

ival-pow: 19.0ms (26.2% of total)

ival-mult: 17.0ms (23.5% of total)

ival-pow2: 5.0ms (6.9% of total)

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

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess221.0ms (1.4%)

Memory

-42.0MiB live, 179.5MiB allocated; 98ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	514	553
2	1813	548
3	4797	548
0	22	29
0	38	27
1	67	27
2	170	27
3	1133	27
4	3660	27
5	6066	27
0	8129	26

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

65.8%

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify113.0ms (0.7%)

Memory

-15.8MiB live, 118.3MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
cost-diff	1	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	1	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	170	126
3	1133	126
4	3660	126
5	6066	126
0	8129	124

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (0.6%)

Memory

6.4MiB live, 108.3MiB allocated; 19ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	6.578057778989668	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	8.964581425492625	(.f64 (.f64 (/.f64 #s(literal 1 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	13.072029676217282	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	13.771509958864739	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

78.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 24.0ms (40.1% of total)

ival-mult: 17.0ms (28.4% of total)

ival-pow: 12.0ms (20% of total)

ival-pow2: 3.0ms (5% of total)

ival-sub: 2.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.3%)

Memory

29.7MiB live, 74.0MiB allocated; 10ms collecting garbage

Counts

6 → 32

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	h	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
6.0ms	d	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
6.0ms	l	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms	d	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
3.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify137.0ms (0.9%)

Memory

1.9MiB live, 184.7MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite187.0ms (1.2%)

Memory

-3.6MiB live, 337.4MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 366

Calls

Call 1

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

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

eval83.0ms (0.5%)

Memory: -17.8MiB live, 126.7MiB allocated; 16ms collecting garbage
Compiler: Compiled 17 710 to 1 295 computations (92.7% saved)

prune74.0ms (0.5%)

Memory

3.7MiB live, 95.2MiB allocated; 9ms collecting garbage

Pruning

32 alts after pruning (32 fresh and 0 done)

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

Accuracy

92.1%

Counts

390 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.0%	(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) d)) (.f64 (/.f64 h l) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
	27.4%	(fma.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))))
	19.0%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	27.3%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	18.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	27.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	30.6%	(-.f64 (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h)))))
	34.8%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))))
▶	41.4%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	65.7%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	54.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 d d))))
	65.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	56.7%	(.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 D #s(literal 2 binary64)) (.f64 (/.f64 M d) M)) (.f64 (/.f64 D d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))))))
	63.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
	47.1%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) l) (.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)))))
	45.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 l d)) (.f64 h (/.f64 (.f64 D D) d))) (*.f64 M M) #s(literal 1 binary64))))
▶	36.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	37.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	33.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	65.8%	(.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))))
	33.1%	(.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))))
	38.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	11.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	15.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 M M) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (*.f64 D D)))
	17.8%	#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 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))
	2.0%	#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 (.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h))
	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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	16.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	12.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
▶	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))

Compiler

Compiled 2 742 to 1 806 computations (34.1% saved)

simplify140.0ms (0.9%)

Memory

10.4MiB live, 193.0MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	538
0	103	524
1	163	524
2	366	524
3	1828	524
4	4948	524
0	8043	517

Stop Event

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

Calls

Call 1

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

localize263.0ms (1.7%)

Memory

-5.0MiB live, 285.0MiB allocated; 70ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.161643940156391	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	3.669566214748458	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	3.881869094703647	(.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))))
accuracy	7.678822905294026	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	3.881869094703647	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
accuracy	6.6574953977758975	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	7.678822905294026	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	18.977694930556446	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
accuracy	2.1310038987739284	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
accuracy	2.3164561033865017	(fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))
accuracy	6.6574953977758975	(sqrt.f64 (/.f64 d l))
accuracy	7.678822905294026	(sqrt.f64 (/.f64 d h))
accuracy	0.109375	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d)
accuracy	0.12910097089629125	(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy	7.044780614102131	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	32.872994795480224	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
accuracy	3.669566214748458	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy	3.881869094703647	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy	6.6574953977758975	(sqrt.f64 (/.f64 d l))
accuracy	7.678822905294026	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

137.0ms	137×	0	valid
74.0ms	119×	0	invalid

Compiler

Compiled 586 to 49 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 81.0ms (47.5% of total)

ival-pow2: 47.0ms (27.6% of total)

ival-div: 15.0ms (8.8% of total)

ival-sqrt: 13.0ms (7.6% of total)

ival-pow: 10.0ms (5.9% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series97.0ms (0.6%)

Memory

7.6MiB live, 189.7MiB allocated; 47ms collecting garbage

Counts

20 → 70

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
12.0ms	d	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* M D) (* 2 d)))
12.0ms	D	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* M D) (* 2 d)))
11.0ms	h	@	0	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* M D) (* 2 d)))
8.0ms	l	@	-inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* M D) (* 2 d)))
7.0ms	h	@	inf	((/ 1 2) (pow (/ d h) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (/ h l) -1/2) (pow (/ d l) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (sqrt (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* M D) (* 2 d)))

simplify134.0ms (0.8%)

Memory

38.6MiB live, 265.1MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	279	1482
1	915	1398
2	3686	1377
0	8453	1336

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 70

Calls

Call 1

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

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

rewrite242.0ms (1.5%)

Memory

-42.0MiB live, 360.2MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	292
0	103	281
1	248	273
2	1247	261
0	8980	255

Stop Event

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

Counts

20 → 1 550

Calls

Call 1

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

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

eval180.0ms (1.1%)

Memory: 35.3MiB live, 255.6MiB allocated; 30ms collecting garbage
Compiler: Compiled 66 699 to 3 875 computations (94.2% saved)

prune78.0ms (0.5%)

Memory

9.6MiB live, 159.5MiB allocated; 10ms collecting garbage

Pruning

52 alts after pruning (51 fresh and 1 done)

	Pruned	Kept	Total
New	1 497	42	1 539
Fresh	18	9	27
Picked	4	1	5
Done	0	0	0
Total	1 519	52	1 571

Accuracy

92.9%

Counts

1 571 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.2%	(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) h) (/.f64 #s(literal -1/2 binary64) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	27.4%	(fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))))
	24.2%	(fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	26.9%	(fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) (/.f64 h l) (/.f64 d (sqrt.f64 (*.f64 l h))))
	27.3%	(/.f64 (.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	18.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	27.8%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
	23.5%	(/.f64 (.f64 (sqrt.f64 (.f64 d (/.f64 d l))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 h))
	40.2%	(+.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 d h))))
▶	44.7%	(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	38.1%	(.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	43.1%	(.f64 (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) h) (/.f64 #s(literal -1/2 binary64) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	42.2%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (/.f64 M #s(literal 2 binary64)) D)) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	44.5%	(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) D) (/.f64 M #s(literal 2 binary64))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	54.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) (.f64 (/.f64 h l) #s(literal 1/2 binary64))) (.f64 d d))))
	65.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (.f64 M (/.f64 h l))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))))
	20.3%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
▶	68.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	66.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (.f64 (/.f64 h l) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) (/.f64 M #s(literal 2 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
▶	23.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
	44.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	33.1%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	65.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	13.5%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	37.5%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (neg.f64 h) (-.f64 (.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal 1/8 binary64)) (/.f64 (*.f64 M M) l)) (/.f64 #s(literal 1 binary64) h)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	29.2%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 l d) #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d)))) d)) (sqrt.f64 (/.f64 d h)))
	36.5%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	7.2%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	11.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	16.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.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 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d h))) (sqrt.f64 (neg.f64 l))))
▶	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	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 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d))
	20.3%	#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 (sqrt.f64 (/.f64 d h)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64)))))
	2.2%	#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 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) (sqrt.f64 (neg.f64 h))) d))
	22.1%	#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 d (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	16.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	12.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 l h) (.f64 l h)) #s(literal -1/2 binary64))) d))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) (neg.f64 h))) d))
✓	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	30.4%	#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))))
	40.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	11.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	30.1%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	20.8%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	21.9%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

Compiler

Compiled 4 244 to 2 892 computations (31.9% saved)

simplify123.0ms (0.8%)

Memory

-2.8MiB live, 137.3MiB allocated; 42ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	630
0	125	619
1	255	619
2	831	603
3	5364	603
0	8028	598

Stop Event

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

Calls

Call 1

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

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

localize252.0ms (1.6%)

Memory

-50.9MiB live, 270.4MiB allocated; 67ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	13.072029676217282	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	13.771509958864739	(sqrt.f64 (/.f64 d l))
accuracy	15.754778849610123	(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
accuracy	30.16699824680556	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l)))
accuracy	3.7169135682063374	(/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)
accuracy	6.4885548520261205	(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
accuracy	7.106719196102508	(fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
accuracy	13.770830949157714	(sqrt.f64 (*.f64 l h))
accuracy	13.072029676217282	(sqrt.f64 (/.f64 d h))
accuracy	13.200085531477873	(.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d))
accuracy	13.771509958864739	(sqrt.f64 (/.f64 d l))
accuracy	29.167242244251522	#s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d))))
accuracy	0.0	(*.f64 l h)
accuracy	0.2421875	(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy	13.770830949157714	(sqrt.f64 (*.f64 l h))
accuracy	47.09121083198553	#s(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	6.578057778989668	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
accuracy	7.197490153907466	(.f64 (/.f64 h l) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))
accuracy	13.072029676217282	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy	13.771509958864739	(sqrt.f64 (/.f64 d l))

Samples

179.0ms

256×

valid

Compiler

Compiled 571 to 71 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 75.0ms (58% of total)

ival-div: 24.0ms (18.6% of total)

ival-pow: 10.0ms (7.7% of total)

ival-pow2: 9.0ms (7% of total)

ival-sqrt: 5.0ms (3.9% of total)

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

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

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series150.0ms (0.9%)

Memory

-8.5MiB live, 180.5MiB allocated; 22ms collecting garbage

Counts

25 → 77

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
39.0ms	D	@	inf	((+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (* h -1/8) (* (/ (* D D) l) (/ (* M M) d))) (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (sqrt (/ d l)) (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1)) (* (/ (* D D) l) (/ (* M M) d)) (sqrt (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* (* M M) h) l)))
19.0ms	D	@	0	((+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (* h -1/8) (* (/ (* D D) l) (/ (* M M) d))) (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (sqrt (/ d l)) (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1)) (* (/ (* D D) l) (/ (* M M) d)) (sqrt (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* (* M M) h) l)))
13.0ms	d	@	-inf	((+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (* h -1/8) (* (/ (* D D) l) (/ (* M M) d))) (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (sqrt (/ d l)) (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1)) (* (/ (* D D) l) (/ (* M M) d)) (sqrt (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* (* M M) h) l)))
11.0ms	h	@	-inf	((+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (* h -1/8) (* (/ (* D D) l) (/ (* M M) d))) (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (sqrt (/ d l)) (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1)) (* (/ (* D D) l) (/ (* M M) d)) (sqrt (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* (* M M) h) l)))
9.0ms	M	@	inf	((+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (/ 1 2) (* 1/2 (/ D 2)) (pow (/ d h) (/ 1 2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (* (* h -1/8) (* (/ (* D D) l) (/ (* M M) d))) (* (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ d (sqrt (* l h)))) (+ (* (/ (pow (* (/ M 2) D) 2) d) (* -1/2 (/ h l))) 1) (/ (pow (* (/ M 2) D) 2) d) (pow (* (/ M 2) D) 2) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (sqrt (/ d l)) (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1)) (* (/ (* D D) l) (/ (* M M) d)) (sqrt (/ d h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* (* M M) h) l)))

simplify155.0ms (1%)

Memory

14.3MiB live, 150.7MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	1606
1	1001	1523
2	4033	1503
0	8516	1457

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

Calls

Call 1

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

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

rewrite233.0ms (1.5%)

Memory

26.9MiB live, 254.6MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	439
0	125	427
1	374	413
2	2207	389
0	8358	384

Stop Event

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

Counts

25 → 755

Calls

Call 1

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

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

eval197.0ms (1.2%)

Memory: -26.7MiB live, 312.5MiB allocated; 56ms collecting garbage
Compiler: Compiled 41 705 to 2 968 computations (92.9% saved)

prune82.0ms (0.5%)

Memory

6.1MiB live, 205.8MiB allocated; 16ms collecting garbage

Pruning

55 alts after pruning (53 fresh and 2 done)

	Pruned	Kept	Total
New	852	31	883
Fresh	24	22	46
Picked	4	1	5
Done	0	1	1
Total	880	55	935

Accuracy

93.7%

Counts

935 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.2%	(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) h) (/.f64 #s(literal -1/2 binary64) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
▶	27.5%	(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (/.f64 h l)) (.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) (/.f64 M #s(literal 2 binary64)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	27.4%	(fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))))
	31.0%	(fma.f64 (.f64 (/.f64 (.f64 M (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64))) l) (/.f64 h d)) (.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	23.3%	(fma.f64 (.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (.f64 (/.f64 M d) D) d)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	31.0%	(fma.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (.f64 (/.f64 (.f64 M (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64))) l) (/.f64 h d))) (.f64 (/.f64 M d) (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	41.3%	(fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (/.f64 h l)) (.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) (/.f64 M #s(literal 2 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	44.8%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 l h)))
	18.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (/.f64 h l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
	40.2%	(+.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 h l)) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 d h))))
	44.7%	(.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 M D)) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	44.7%	(.f64 (fma.f64 (/.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (log.f64 D) #s(literal 2 binary64)))) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	42.3%	(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	45.0%	(.f64 (fma.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	37.1%	(.f64 (fma.f64 #s(approx (/ (pow ( (/ M 2) D) 2) d) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) (/.f64 (.f64 M M) d))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	20.3%	(.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
	66.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64)))) d) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	66.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M (.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1/2 binary64))) h) (.f64 d l)) (*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	44.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	43.8%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	14.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
	34.3%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	11.4%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
▶	68.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	65.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	23.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
	25.0%	(.f64 (.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) l) #s(literal -1/8 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	13.1%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 D D)) (.f64 (neg.f64 d) l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	14.0%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M D) l) (*.f64 (/.f64 M d) D)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	11.6%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
	42.8%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
▶	15.4%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
	29.2%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 l d) #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d)))) d)) (sqrt.f64 (/.f64 d h)))
	36.5%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	7.2%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
▶	40.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	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 (fma.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	22.1%	#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 d (sqrt.f64 l)) (sqrt.f64 h)))
	15.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	21.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
	20.3%	#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 (sqrt.f64 (/.f64 d h)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64)))))
	2.2%	#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 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) (sqrt.f64 (neg.f64 h))) d))
▶	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	16.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	12.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) (neg.f64 h))) d))
✓	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	30.4%	#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))))
	30.1%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	20.8%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	21.9%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

Compiler

Compiled 4 524 to 3 094 computations (31.6% saved)

simplify100.0ms (0.6%)

Memory

7.5MiB live, 149.0MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d))
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
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 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 l h)))
cost-diff	2	(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) (/.f64 M #s(literal 2 binary64)))
cost-diff	4	(.f64 (.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (/.f64 h l)) (.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) (/.f64 M #s(literal 2 binary64))))
cost-diff	5	(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (/.f64 h l)) (.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) (/.f64 M #s(literal 2 binary64)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
cost-diff	0	(neg.f64 d)
cost-diff	0	(.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))
cost-diff	0	#s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
cost-diff	0	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
cost-diff	0	(sqrt.f64 (*.f64 l h))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
cost-diff	2	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
cost-diff	0	(*.f64 (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 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
cost-diff	2	(*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64)))
cost-diff	4	(fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	681
0	139	677
1	292	650
2	1036	637
3	4863	637
0	8174	630

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

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

localize277.0ms (1.8%)

Memory

18.9MiB live, 350.7MiB allocated; 35ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	12.039845159443683	(sqrt.f64 (/.f64 h l))
accuracy	13.08862814829056	(.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d))
accuracy	13.533745587546433	(fma.f64 (.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy	13.919929680353675	(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy	6.709027182951348	(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) (/.f64 M #s(literal 2 binary64)))
accuracy	7.203910038240965	(.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (/.f64 h l))
accuracy	9.318117082448902	(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 D d)) (/.f64 h l)) (.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) (/.f64 M #s(literal 2 binary64)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy	13.770830949157714	(sqrt.f64 (*.f64 l h))
accuracy	14.024356940983429	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy	15.754778849610123	(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))
accuracy	27.138852449586413	#s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
accuracy	30.16699824680556	#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l)))
accuracy	0.23046875	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d)
accuracy	0.30078125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
accuracy	13.770830949157714	(sqrt.f64 (*.f64 l h))
accuracy	47.09121083198553	#s(approx (* (* (pow (/ d h) (/ 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	6.578057778989668	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
accuracy	7.197490153907466	(.f64 (/.f64 h l) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d)))
accuracy	13.072029676217282	(sqrt.f64 (/.f64 d h))
accuracy	13.771509958864739	(sqrt.f64 (/.f64 d l))

Samples

211.0ms

256×

valid

Compiler

Compiled 616 to 81 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 50.0ms (42.9% of total)

ival-div: 32.0ms (27.4% of total)

ival-pow: 15.0ms (12.9% of total)

ival-sqrt: 9.0ms (7.7% of total)

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

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

ival-sub: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series263.0ms (1.7%)

Memory

-34.4MiB live, 210.0MiB allocated; 32ms collecting garbage

Counts

29 → 71

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
77.0ms	d	@	0	((+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (* 1/2 (/ D 2)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (* (neg d) (sqrt (/ 1 (* l h)))) (neg d) (+ (* (/ d (sqrt (* l h))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2)))) (/ d (sqrt (* l h)))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2))) (* (/ (* D 1/2) d) (/ M 2)) (/ 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)))) (/ (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* (* M M) h) l)) (sqrt (/ 1 (* l h))) (* (* (/ M -2) (/ D d)) (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)))
34.0ms	h	@	0	((+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (* 1/2 (/ D 2)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (* (neg d) (sqrt (/ 1 (* l h)))) (neg d) (+ (* (/ d (sqrt (* l h))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2)))) (/ d (sqrt (* l h)))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2))) (* (/ (* D 1/2) d) (/ M 2)) (/ 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)))) (/ (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* (* M M) h) l)) (sqrt (/ 1 (* l h))) (* (* (/ M -2) (/ D d)) (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)))
30.0ms	M	@	inf	((+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (* 1/2 (/ D 2)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (* (neg d) (sqrt (/ 1 (* l h)))) (neg d) (+ (* (/ d (sqrt (* l h))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2)))) (/ d (sqrt (* l h)))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2))) (* (/ (* D 1/2) d) (/ M 2)) (/ 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)))) (/ (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* (* M M) h) l)) (sqrt (/ 1 (* l h))) (* (* (/ M -2) (/ D d)) (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)))
24.0ms	D	@	-inf	((+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (* 1/2 (/ D 2)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (* (neg d) (sqrt (/ 1 (* l h)))) (neg d) (+ (* (/ d (sqrt (* l h))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2)))) (/ d (sqrt (* l h)))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2))) (* (/ (* D 1/2) d) (/ M 2)) (/ 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)))) (/ (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* (* M M) h) l)) (sqrt (/ 1 (* l h))) (* (* (/ M -2) (/ D d)) (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)))
22.0ms	l	@	0	((+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (* 1/2 (/ D 2)) (* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1)) (* (sqrt (/ d h)) (sqrt (/ d l))) (* (/ 1 (sqrt (* l h))) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (* (neg d) (sqrt (/ 1 (* l h)))) (neg d) (+ (* (/ d (sqrt (* l h))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2)))) (/ d (sqrt (* l h)))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2))) (* (/ (* D 1/2) d) (/ M 2)) (/ 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)))) (/ (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* -1/8 (/ (/ (* D D) d) d)) (/ (* (* M M) h) l)) (sqrt (/ 1 (* l h))) (* (* (/ M -2) (/ D d)) (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (/ h l)))

simplify175.0ms (1.1%)

Memory

12.8MiB live, 104.1MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	1349
1	764	1253
2	3078	1229
0	8436	1197

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 71

Calls

Call 1

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

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

rewrite250.0ms (1.6%)

Memory

10.8MiB live, 189.1MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	498
0	139	481
1	426	457
2	2817	425
0	9013	421

Stop Event

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

Counts

29 → 1 209

Calls

Call 1

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

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

eval184.0ms (1.2%)

Memory: -7.1MiB live, 188.8MiB allocated; 33ms collecting garbage
Compiler: Compiled 44 576 to 3 469 computations (92.2% saved)

prune212.0ms (1.3%)

Memory

-5.6MiB live, 235.9MiB allocated; 22ms collecting garbage

Pruning

57 alts after pruning (54 fresh and 3 done)

	Pruned	Kept	Total
New	910	28	938
Fresh	22	26	48
Picked	4	1	5
Done	0	2	2
Total	936	57	993

Accuracy

96.6%

Counts

993 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.6%	(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (/.f64 M #s(literal -2 binary64)) h)) (.f64 M (.f64 D #s(literal 1/4 binary64)))) (.f64 l d)) (/.f64 d (sqrt.f64 (.f64 l h))))
	31.4%	(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (/.f64 (.f64 (.f64 (.f64 h (/.f64 M d)) (.f64 D #s(literal 1/4 binary64))) (.f64 M D)) (.f64 l (.f64 #s(literal -2 binary64) d))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	44.2%	(fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) h) (/.f64 #s(literal -1/2 binary64) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	31.0%	(fma.f64 (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) h) (.f64 d l))) (.f64 (/.f64 M d) (/.f64 d (sqrt.f64 (.f64 l h)))) (/.f64 d (sqrt.f64 (.f64 l h))))
	32.8%	(/.f64 (fma.f64 (.f64 d (.f64 (/.f64 M d) (.f64 D #s(literal 1/4 binary64)))) (.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal -2 binary64))) (/.f64 h l)) d) (sqrt.f64 (.f64 l h)))
	44.8%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 h l)) (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) d) (sqrt.f64 (.f64 l h)))
	44.7%	(.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) (.f64 M D)) #s(literal 2 binary64)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	42.3%	(.f64 (fma.f64 (/.f64 #s(approx (pow ( (/ M 2) D) 2) (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) M) M)) d) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	33.9%	(.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) h) (.f64 d l)) (/.f64 D d)) (/.f64 M #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
	37.1%	(.f64 (fma.f64 #s(approx (/ (pow ( (/ M 2) D) 2) d) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) D) D) (/.f64 (.f64 M M) d))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (.f64 l h))))
	36.9%	(.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	33.2%	(.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	44.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	66.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D #s(literal 1/4 binary64)))) d) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	66.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) h) (.f64 d l)) (*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	63.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 M #s(literal -2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 h l)) (.f64 (/.f64 M d) (.f64 D #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
	65.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 D d) (.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) h) (*.f64 d l))) #s(literal 1 binary64)))
	23.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
	47.1%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 h (/.f64 (/.f64 (.f64 M M) d) d)) #s(literal 1 binary64))))
	22.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (+ (* (* (/ h l) (* (* 1/2 (/ D 2)) (/ M d))) (* (/ D -2) (/ M d))) 1) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 h (/.f64 (/.f64 (*.f64 M M) d) d)))))
	13.1%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (neg.f64 M) M) (.f64 D D)) (.f64 (neg.f64 d) l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	14.0%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 M D) l) (*.f64 (/.f64 M d) D)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	11.6%	(.f64 (.f64 #s(approx (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 D D) l) (/.f64 (*.f64 M M) d)))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
	74.1%	(.f64 (fabs.f64 (/.f64 d (sqrt.f64 (.f64 l h)))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	42.8%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))
	27.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) l) (.f64 h (/.f64 (/.f64 (.f64 M M) d) d)) #s(literal 1 binary64))))
	16.3%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (.f64 (.f64 (/.f64 (.f64 D D) d) #s(literal -1/8 binary64)) (.f64 (.f64 M M) h)) (.f64 d l))))
	12.8%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (.f64 (neg.f64 d) #s(approx (sqrt (/ 1 ( l h))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))) #s(approx (- 1 ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 D D) d) d)) (/.f64 (.f64 (*.f64 M M) h) l))))
	29.2%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 l d) #s(literal 3 binary64)))) (.f64 (.f64 M M) h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l d)))) d)) (sqrt.f64 (/.f64 d h)))
	36.5%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	7.2%	(.f64 #s(approx ( (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	21.1%	#s(approx (+ (* (/ d (sqrt (* l h))) (* (* (* (/ M -2) (/ D d)) (/ h l)) (* (/ (* D 1/2) d) (/ M 2)))) (/ d (sqrt (* l h)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 h #s(literal 3 binary64)) l))) d (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) h))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) h))
	56.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (/.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	50.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 M d) M)) h) (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 d h))))
	58.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	50.0%	#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 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 D D) #s(literal -1/8 binary64))) (.f64 (/.f64 M d) M) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	45.2%	#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 D D) #s(literal -1/8 binary64)) (/.f64 (.f64 M M) d)) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	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 (fma.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (*.f64 d d))) d))
	61.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 D (.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 M d) M))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	23.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 M D) #s(literal 2 binary64)))) (sqrt.f64 l) (.f64 d (.f64 (sqrt.f64 h) d))) (.f64 d (sqrt.f64 l))) h))
	22.1%	#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 d (sqrt.f64 l)) (sqrt.f64 h)))
	35.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	10.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* D D) -1/8) (/ (* M M) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
	20.3%	#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 (sqrt.f64 (/.f64 d h)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal 1/4 binary64)))))
	2.2%	#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 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) (sqrt.f64 (neg.f64 h))) d))
✓	26.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 l h))) d))
	16.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 (.f64 (*.f64 M M) D) (/.f64 D d)) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	12.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 (.f64 M M) (.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) (neg.f64 h))) d))
✓	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h)))))
	30.4%	#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))))
	20.8%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (.f64 (.f64 D D) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (.f64 l h)) (.f64 M M)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
	21.9%	#s(approx (* (* (+ (* (* (/ h l) -1/2) (/ (pow (* (/ M 2) D) 2) d)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))

Compiler

Compiled 8 264 to 2 377 computations (71.2% saved)

regimes350.0ms (2.2%)

Memory

17.7MiB live, 306.8MiB allocated; 21ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

7 calls:

70.0ms	l
67.0ms	D
51.0ms	M
49.0ms	d
45.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
74.1%	1	`(*.f64 M D)`
83.9%	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))))`
84.0%	3	`d`
81.2%	2	`h`
81.2%	2	`l`
74.1%	1	`M`
74.1%	1	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes102.0ms (0.6%)

Memory

-8.4MiB live, 82.4MiB allocated; 5ms collecting garbage

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

Outputs

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

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

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

Calls

2 calls:

55.0ms

(*.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))))

41.0ms

Results

Accuracy	Segments	Branch
83.9%	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))))`
83.0%	3	`d`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes70.0ms (0.4%)

Memory

0.2MiB live, 62.5MiB allocated; 40ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

42.0ms

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

23.0ms

Results

Accuracy	Segments	Branch
83.0%	3	`d`
80.3%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes40.0ms (0.3%)

Memory

-24.3MiB live, 22.9MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
83.0%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes62.0ms (0.4%)

Memory

28.0MiB live, 118.9MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

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

Calls

3 calls:

20.0ms	l
20.0ms	h
18.0ms	d

Results

Accuracy	Segments	Branch
80.7%	2	`l`
80.7%	2	`h`
80.7%	2	`d`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes69.0ms (0.4%)

Memory

4.0MiB live, 149.9MiB allocated; 9ms collecting garbage

Counts

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

Outputs

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

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

Calls

4 calls:

18.0ms	h
17.0ms	l
16.0ms	d
15.0ms	(.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
80.3%	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))))`
78.9%	2	`d`
78.6%	2	`l`
78.6%	2	`h`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes32.0ms (0.2%)

Memory

-26.4MiB live, 72.1MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

2 calls:

14.0ms

13.0ms

(*.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
78.9%	2	`d`
81.9%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes29.0ms (0.2%)

Memory

21.5MiB live, 67.9MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

2 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
81.9%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
79.7%	3	`d`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes54.0ms (0.3%)

Memory

-13.5MiB live, 131.5MiB allocated; 6ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

4 calls:

14.0ms	l
13.0ms	d
12.0ms	h
11.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
79.7%	3	`d`
74.1%	1	`l`
77.5%	2	`h`
79.6%	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 38 to 37 computations (2.6% saved)

regimes14.0ms (0.1%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
79.7%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes23.0ms (0.1%)

Memory

-0.2MiB live, 46.5MiB allocated; 2ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

2 calls:

12.0ms

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
79.6%	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))))`
76.4%	2	`d`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes77.0ms (0.5%)

Memory

1.2MiB live, 147.3MiB allocated; 12ms collecting garbage

Counts

38 → 5

Calls

Call 1

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

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

Calls

7 calls:

12.0ms	(*.f64 M D)
12.0ms	d
10.0ms	D
10.0ms	l
10.0ms	h

Results

Accuracy	Segments	Branch
66.6%	5	`l`
58.7%	2	`D`
56.6%	2	`(*.f64 M D)`
55.8%	3	`M`
67.9%	4	`d`
61.9%	3	`h`
71.4%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes10.0ms (0.1%)

Memory

-25.7MiB live, 21.2MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
68.9%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes8.0ms (0.1%)

Memory

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

Counts

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

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

Calls

1 calls:

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
68.9%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes9.0ms (0.1%)

Memory

-21.8MiB live, 22.2MiB allocated; 4ms collecting garbage

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
68.6%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes21.0ms (0.1%)

Memory

10.3MiB live, 55.0MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

3 calls:

9.0ms

6.0ms

5.0ms

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

Results

Accuracy	Segments	Branch
53.3%	3	`l`
55.1%	4	`d`
64.3%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes58.0ms (0.4%)

Memory

8.1MiB live, 100.8MiB allocated; 24ms collecting garbage

Counts

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

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

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

Calls

7 calls:

19.0ms	h
12.0ms	d
5.0ms	M
5.0ms	D
5.0ms	l

Results

Accuracy	Segments	Branch
48.0%	3	`l`
45.9%	2	`d`
40.5%	2	`M`
42.2%	3	`(*.f64 M D)`
40.0%	3	`D`
47.7%	3	`h`
50.7%	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes4.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
47.9%	3	`l`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes11.0ms (0.1%)

Memory

-14.7MiB live, 25.2MiB allocated; 6ms collecting garbage

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

Calls

4 calls:

5.0ms	h
2.0ms	d
2.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms	l

Results

Accuracy	Segments	Branch
43.9%	2	`d`
31.6%	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))))`
42.9%	2	`h`
45.0%	2	`l`

Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes43.0ms (0.3%)

Memory

-10.1MiB live, 33.5MiB allocated; 5ms collecting garbage

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
26.3%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
26.3%	1	`D`
26.3%	1	`M`
26.3%	1	`(*.f64 M D)`
26.3%	1	`h`
26.3%	1	`d`
26.3%	1	`l`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes8.0ms (0.1%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
26.0%	1	`(*.f64 M D)`
26.0%	1	`M`
26.0%	1	`h`
26.0%	1	`d`
26.0%	1	`l`
26.0%	1	`D`
26.0%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch198.0ms (1.3%)

Memory

4.2MiB live, 145.0MiB allocated; 46ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	1.162616967583399e-200	1.233320059784616e-197
133.0ms	-2.8325042153329314e-198	-1.1166396854214032e-201

Samples

65.0ms	290×	0	invalid
39.0ms	256×	0	valid

Compiler

Compiled 1 534 to 1 030 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 18.0ms (32.8% of total)

ival-mult: 18.0ms (32.8% of total)

ival-pow: 10.0ms (18.2% of total)

ival-pow2: 5.0ms (9.1% of total)

ival-sub: 3.0ms (5.5% of total)

exact: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.797900585949053e+260	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch60.0ms (0.4%)

Memory

9.9MiB live, 54.7MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.162616967583399e-200	1.233320059784616e-197
52.0ms	-6.693311600011201e-246	-1.6419075574397105e-249

Samples

24.0ms	111×	0	invalid
20.0ms	128×	0	valid

Compiler

Compiled 1 534 to 1 038 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 19.0ms (53.8% of total)

ival-mult: 8.0ms (22.7% of total)

ival-pow: 5.0ms (14.2% of total)

ival-pow2: 2.0ms (5.7% of total)

ival-sub: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.162616967583399e-200	1.233320059784616e-197
2.0ms	-6.693311600011201e-246	-1.6419075574397105e-249

Compiler

Compiled 1 534 to 1 038 computations (32.3% saved)

bsearch102.0ms (0.6%)

Memory

-38.4MiB live, 56.9MiB allocated; 22ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
96.0ms	-1.4157291852478582e-307	5.088206522389241e-307

Samples

50.0ms	123×	0	invalid
19.0ms	128×	0	valid

Compiler

Compiled 558 to 446 computations (20.1% saved)

Precisions

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

ival-div: 41.0ms (67.4% of total)

ival-mult: 8.0ms (13.1% of total)

ival-pow: 7.0ms (11.5% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.797900585949053e+260	+inf

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch85.0ms (0.5%)

Memory

20.8MiB live, 65.6MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
78.0ms	4.1200629598101327e-212	1.964997262984887e-202

Samples

48.0ms	144×	0	valid
20.0ms	167×	0	invalid

Compiler

Compiled 578 to 462 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 37.0ms (64.6% of total)

ival-mult: 10.0ms (17.5% of total)

ival-pow: 6.0ms (10.5% of total)

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

ival-sub: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.797900585949053e+260	+inf
0.0ms	1.089237885698058e-242	2.2930465942992695e-241
0.0ms	-4.1976463597185274e-51	-3.875745016567916e-65

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch186.0ms (1.2%)

Memory

18.9MiB live, 109.0MiB allocated; 65ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
110.0ms	1.4075847918444115e+99	2.9900995713693644e+101
65.0ms	4.810298630805173e-173	7.985826413303545e-165

Samples

109.0ms	256×	0	valid
48.0ms	260×	0	invalid

Compiler

Compiled 977 to 784 computations (19.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-div: 88.0ms (71.7% of total)

ival-mult: 16.0ms (13% of total)

ival-pow: 10.0ms (8.1% of total)

ival-pow2: 5.0ms (4.1% of total)

ival-sub: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch110.0ms (0.7%)

Memory

-24.8MiB live, 68.8MiB allocated; 13ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4075847918444115e+99	2.9900995713693644e+101
102.0ms	7.910752449303459e-128	5.443184533907833e-123

Samples

61.0ms	171×	0	invalid
21.0ms	144×	0	valid

Compiler

Compiled 977 to 784 computations (19.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 51.0ms (70.9% of total)

ival-mult: 10.0ms (13.9% of total)

ival-pow: 6.0ms (8.3% of total)

ival-pow2: 3.0ms (4.2% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.797900585949053e+260	+inf
0.0ms	1.089237885698058e-242	2.2930465942992695e-241

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.682433274944857e+160	8.405258179513422e+165
0.0ms	1.089237885698058e-242	2.2930465942992695e-241
0.0ms	-inf	-7.649085052817678e+305

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.682433274944857e+160	8.405258179513422e+165
0.0ms	1.089237885698058e-242	2.2930465942992695e-241

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.682433274944857e+160	8.405258179513422e+165
0.0ms	1.089237885698058e-242	2.2930465942992695e-241

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.682433274944857e+160	8.405258179513422e+165
0.0ms	1.089237885698058e-242	2.2930465942992695e-241

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.682433274944857e+160	8.405258179513422e+165
0.0ms	1.089237885698058e-242	2.2930465942992695e-241

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch144.0ms (0.9%)

Memory

26.5MiB live, 119.4MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	1.1142055428360397e-259	2.973910037919859e-257
77.0ms	-1.521650262632433e-193	-6.479776033481537e-203

Samples

62.0ms	272×	0	invalid
52.0ms	272×	0	valid

Compiler

Compiled 1 994 to 1 255 computations (37.1% saved)

Precisions

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

ival-div: 29.0ms (41.2% of total)

ival-mult: 17.0ms (24.1% of total)

ival-pow: 15.0ms (21.3% of total)

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

ival-sub: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch145.0ms (0.9%)

Memory

-15.9MiB live, 119.2MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	9.571166034629043e-308	8.291894793401966e-306
85.0ms	-3.6976652245734383e-203	-3.304973121824134e-212

Samples

74.0ms	289×	0	invalid
41.0ms	256×	0	valid

Compiler

Compiled 1 448 to 960 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 18.0ms (28.8% of total)

ival-pow: 18.0ms (28.8% of total)

ival-mult: 17.0ms (27.2% of total)

ival-pow2: 5.0ms (8% of total)

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

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.6976652245734383e-203	-3.304973121824134e-212

Compiler

Compiled 839 to 561 computations (33.1% saved)

simplify84.0ms (0.5%)

Memory

17.4MiB live, 62.2MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	3133
1	357	3133
2	689	3133
3	2967	3133
4	7914	3133

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -6618782715722385/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (if (<=.f64 d #s(literal 8135587088075431/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 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 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 D D) #s(literal -1/8 binary64))) (.f64 (/.f64 M d) M) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 499999999999999964386920260183378768438369660405788306115890740350735047677263747003873170720569138221237194884773781762716146558250561283589357179690611388552427230372902339689822248521604133691815823583688930974272944987404480934971785538387714054461744742400 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal +inf.0 binary64)) (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (.f64 l h)))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))) (fma.f64 (/.f64 d (sqrt.f64 (.f64 l h))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) h) (/.f64 #s(literal -1/2 binary64) l)) (/.f64 d (sqrt.f64 (*.f64 l h))))))
(if (<=.f64 d #s(literal -2361660589884215/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))) (if (<=.f64 d #s(literal 8135587088075431/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 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 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 D D) #s(literal -1/8 binary64))) (.f64 (/.f64 M d) M) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal -2361660589884215/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))) (if (<=.f64 d #s(literal 8135587088075431/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 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 D (.f64 (.f64 #s(literal -1/8 binary64) D) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 M d) M))) (.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64)))))
(if (<=.f64 h #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 499999999999999964386920260183378768438369660405788306115890740350735047677263747003873170720569138221237194884773781762716146558250561283589357179690611388552427230372902339689822248521604133691815823583688930974272944987404480934971785538387714054461744742400 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))) (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (.f64 l h)))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))))
(if (<=.f64 d #s(literal 2220894945574821/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312 binary64)) (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (.f64 l h)))) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) (fma.f64 (.f64 (/.f64 h l) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))) (*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 M d)) #s(literal 1 binary64))))
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Outputs
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

derivations1.7s (10.8%)

Memory

-52.6MiB live, 1 558.8MiB allocated; 250ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	498
0	139	481
1	426	457
2	2817	425
0	9013	421
0	304	1606
1	1001	1523
2	4033	1503
0	8516	1457
0	22	72
0	38	68
1	110	67
2	610	67
3	7910	67
0	8018	65
0	238	1349
1	764	1253
2	3078	1229
0	8436	1197
0	79	439
0	125	427
1	374	413
2	2207	389
0	8358	384
0	147	635
1	444	594
2	1805	575
3	6314	574
0	8627	558
0	279	1482
1	915	1398
2	3686	1377
0	8453	1336
0	64	292
0	103	281
1	248	273
2	1247	261
0	8980	255

Stop Event

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

Compiler

Compiled 3 285 to 262 computations (92% saved)

preprocess227.0ms (1.4%)

Memory: 1.8MiB live, 334.2MiB allocated; 41ms collecting garbage
Compiler: Compiled 8 248 to 1 492 computations (81.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze548.0ms (3.5%)

sample5.9s (37.6%)

explain420.0ms (2.7%)

preprocess221.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify113.0ms (0.7%)

localize95.0ms (0.6%)

series54.0ms (0.3%)

simplify137.0ms (0.9%)

rewrite187.0ms (1.2%)

eval83.0ms (0.5%)

prune74.0ms (0.5%)

simplify140.0ms (0.9%)

localize263.0ms (1.7%)

series97.0ms (0.6%)

simplify134.0ms (0.8%)

rewrite242.0ms (1.5%)

eval180.0ms (1.1%)

prune78.0ms (0.5%)

simplify123.0ms (0.8%)

localize252.0ms (1.6%)

series150.0ms (0.9%)

simplify155.0ms (1%)

rewrite233.0ms (1.5%)

eval197.0ms (1.2%)

prune82.0ms (0.5%)

simplify100.0ms (0.6%)

localize277.0ms (1.8%)

series263.0ms (1.7%)

simplify175.0ms (1.1%)

rewrite250.0ms (1.6%)

eval184.0ms (1.2%)

prune212.0ms (1.3%)

regimes350.0ms (2.2%)

regimes102.0ms (0.6%)

regimes70.0ms (0.4%)

regimes40.0ms (0.3%)

regimes62.0ms (0.4%)

regimes69.0ms (0.4%)

regimes32.0ms (0.2%)

regimes29.0ms (0.2%)

regimes54.0ms (0.3%)

regimes14.0ms (0.1%)

regimes23.0ms (0.1%)

regimes77.0ms (0.5%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes21.0ms (0.1%)

regimes58.0ms (0.4%)

regimes4.0ms (0%)

regimes11.0ms (0.1%)

regimes43.0ms (0.3%)

regimes8.0ms (0.1%)

bsearch198.0ms (1.3%)

bsearch2.0ms (0%)

bsearch60.0ms (0.4%)

bsearch4.0ms (0%)

bsearch102.0ms (0.6%)

bsearch1.0ms (0%)

bsearch85.0ms (0.5%)

bsearch1.0ms (0%)

bsearch186.0ms (1.2%)

bsearch110.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch144.0ms (0.9%)

bsearch145.0ms (0.9%)

bsearch2.0ms (0%)

simplify84.0ms (0.5%)

derivations1.7s (10.8%)

preprocess227.0ms (1.4%)

end0.0ms (0%)

Profiling