Metrics for Henrywood and Agarwal, Equation (12)

analyze489.0ms (2.1%)

Memory

25.4MiB live, 600.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.8s (25.4%)

Memory

-46.7MiB live, 7 291.5MiB allocated

Samples

2.8s	13 109×	0	invalid
1.8s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-div: 1.0s (31.9% of total)

ival-mult: 880.0ms (27.6% of total)

ival-pow: 658.0ms (20.6% of total)

ival-pow2: 386.0ms (12.1% of total)

ival-sub: 202.0ms (6.3% of total)

exact: 22.0ms (0.7% of total)

ival-true: 17.0ms (0.5% of total)

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

Bogosity

preprocess276.0ms (1.2%)

Memory

20.2MiB live, 409.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 600×	`lower-*.f32`
6 588×	`lower-*.f64`
3 422×	`lower-/.f32`
3 414×	`lower-/.f64`
2 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	564
1	558	553
2	1960	548
3	4611	548
0	22	29
0	38	27
1	67	27
2	174	27
3	1054	27
4	3441	27
5	6724	27
0	8027	26

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs D)

(abs M)

(sort M D)

explain335.0ms (1.5%)

Memory

-15.9MiB live, 760.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
61	-	3	(-2.199006645353975e-126 -1.3118609627702282e-185 -5.839859888070347e+193 2.096687507244147e-297 1.4401845721660917e+134)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
53	-	4	(-5.316246826758241e-158 -2.7317144117336593e+163 -3.065801232708189e-28 6278647.918302094 3.994814856371881e+91)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
51	-	2	(5.107112296146162e-186 1.2273223553999154e-261 7.672690674393003e+53 1.483640644248619e-136 3.850252674601447e+79)	`(.f64 (.f64 (/.f64 #s(literal 1 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	(-1.2963046760542063e-142 -5.8817176568266724e+246 -4.814988550354126e-71 7.345295124348737e-159 1.4748470796468674e-154)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
19	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	35	0
↳	`(/.f64 d l)`	overflow	35
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	26	0
↳	`(/.f64 d h)`	overflow	26
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	23	0
↳	`(/.f64 d l)`	underflow	23
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	23	0
↳	`(/.f64 d h)`	underflow	23
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	16	0
↳	`(*.f64 M D)`	overflow	31
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	13	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	10	0
↳	`(/.f64 d h)`	underflow	23
↳	`(/.f64 d l)`	underflow	23
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	15
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	74
↳	`(/.f64 h l)`	overflow	36
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	79
↳	`(.f64 (.f64 (/.f64 #s(literal 1 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	79
↳	`(*.f64 M D)`	overflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	34
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	74
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
`*.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**	7	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	5	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	74
↳	`(*.f64 M D)`	overflow	31
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	34
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	74
↳	`(*.f64 #s(literal 2 binary64) d)`	overflow	1
↳	`(/.f64 h l)`	underflow	24
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	77
↳	`(.f64 (/.f64 #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	77
↳	`(*.f64 M D)`	underflow	24
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	40
↳	`(/.f64 h l)`	overflow	36
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	2	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	24

Confusion

	Predicted +	Predicted -
+	76	5
-	40	135

Precision

0.6551724137931034

Recall

0.9382716049382716

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	76	0	5
-	40	0	135

Precision?

0.6551724137931034

Recall?

0.9382716049382716

Freqs

test

number	freq
0	140
1	74
2	35
3	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

105.0ms

512×

valid

Compiler

Compiled 392 to 92 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-pow: 32.0ms (42% of total)

ival-div: 18.0ms (23.6% of total)

ival-mult: 17.0ms (22.3% of total)

ival-pow2: 5.0ms (6.6% of total)

ival-sub: 2.0ms (2.6% of total)

ival-true: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.5MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.8%	(.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

▶

69.8%

(*.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 40 to 22 computations (45% saved)

simplify216.0ms (0.9%)

Memory

36.1MiB live, 417.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
✓	cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

6 600×	`lower-*.f32`
6 588×	`lower-*.f64`
3 422×	`lower-/.f32`
3 414×	`lower-/.f64`
2 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	38	126
1	67	126
2	174	126
3	1054	126
4	3441	126
5	6724	126
0	8027	124

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (0.4%)

Memory

-32.0MiB live, 180.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.8%	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	accuracy	81.8%	(.f64 (.f64 (/.f64 #s(literal 1 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	81.1%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	78.2%	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

47.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-pow: 10.0ms (31.9% of total)

ival-div: 9.0ms (28.7% of total)

ival-mult: 8.0ms (25.5% of total)

ival-pow2: 3.0ms (9.6% of total)

ival-sub: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.2%)

Memory

5.5MiB live, 82.8MiB allocated

Counts

6 → 180

Calls

Call 1

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

Outputs
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>
#<alt (* 1/2 (/ (* D M) d))>

Calls

45 calls:

Time	Variable		Point	Expression
5.0ms	l	@	inf	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
4.0ms	D	@	0	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	h	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
2.0ms	l	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
1.0ms	M	@	0	(pow (/ (* M D) (* 2 d)) 2)

simplify338.0ms (1.5%)

Memory

-1.3MiB live, 354.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 250×	`lower-*.f64`
11 250×	`lower-*.f32`
5 988×	`associate-r`
2 626×	`associate-*r/`
2 342×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	1972
1	74	1940
2	256	1940
3	1182	1940
4	3310	1940
5	3542	1940
6	3631	1940
7	3657	1940
8	3674	1940
9	3680	1940
10	4767	1940
11	4837	1940
12	4846	1940
13	4846	1940
14	5742	1940
15	7259	1940
16	7277	1940
17	7277	1940
18	7277	1940
19	7277	1940
0	10737	1940

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite234.0ms (1%)

Memory

21.4MiB live, 411.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 926×	`lower-*.f32`
4 918×	`lower-*.f64`
2 258×	`lower-/.f32`
2 250×	`lower-/.f64`
1 626×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
0	32	40
1	94	40
2	515	40
3	5058	40
0	8121	40

Stop Event

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

Counts

6 → 610

Calls

Call 1

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

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

eval103.0ms (0.4%)

Memory: 16.9MiB live, 207.3MiB allocated
Compiler: Compiled 30 603 to 3 503 computations (88.6% saved)

prune165.0ms (0.7%)

Memory

-1.7MiB live, 282.9MiB allocated

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	762	30	792
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	763	30	793

Accuracy

86.5%

Counts

793 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.6%	(.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))))
	69.5%	(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	50.2%	(.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 d h) d) h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	69.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	70.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	53.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal 1/2 binary64))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
	65.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) (/.f64 (.f64 h #s(literal 1/2 binary64)) l)) d)))
	55.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (.f64 M D) (neg.f64 (.f64 M D)))) (neg.f64 (.f64 (*.f64 d d) #s(literal 4 binary64))))))
	56.2%	(.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 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l) h)))
▶	73.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	71.0%	(.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 M D) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 h #s(literal 1/2 binary64)) l)))))
	64.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
▶	57.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))))
	45.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 #s(literal 1/2 binary64) M)) (.f64 (.f64 (.f64 D D) (/.f64 #s(literal 1 binary64) (.f64 d d))) (*.f64 #s(literal 1/2 binary64) M)))))
	68.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M)) #s(literal 2 binary64))) (/.f64 h l))))
▶	68.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 d (.f64 M D))))) (/.f64 h l))))
	54.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (pow (/ (* M D) (* 2 d)) 2) (.f64 M (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (/.f64 M (*.f64 d d)))) D)))) (/.f64 h l))))
▶	56.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	38.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	35.7%	(.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))))
	70.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	35.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	38.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
	69.8%	(.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))))
	39.7%	(.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))))
	37.1%	(.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))))
	69.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	26.1%	(.f64 (.f64 (.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 (.f64 h (/.f64 h d)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	37.1%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	39.7%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))

Compiler

Compiled 2 478 to 1 478 computations (40.4% saved)

simplify204.0ms (0.9%)

Memory

-14.6MiB live, 259.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	768	(/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 d (.f64 M D)))
✓	cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
✓	cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 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 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	1088	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
✓	cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

7 078×	`lower-*.f32`
7 022×	`lower-*.f64`
3 852×	`lower-/.f32`
3 822×	`lower-/.f64`
1 558×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	869
0	141	858
1	299	754
2	1086	754
3	5329	754
0	8406	746

Stop Event

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

Calls

Call 1

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

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

localize353.0ms (1.5%)

Memory

-9.6MiB live, 449.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.2%	(.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)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 d (.f64 M D))))) (/.f64 h l))))
✓	accuracy	93.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 d (.f64 M D))))) (/.f64 h l))
✓	accuracy	90.4%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	88.9%	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	97.2%	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	accuracy	96.2%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 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	93.1%	(.f64 (.f64 (/.f64 #s(literal 1 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	88.9%	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	93.7%	(.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))
✓	accuracy	91.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D))
✓	accuracy	90.4%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	88.9%	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	93.0%	(.f64 h (.f64 M M))
✓	accuracy	90.4%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	89.4%	(/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l)))
✓	accuracy	88.9%	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	96.2%	(.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 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
✓	accuracy	95.8%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
✓	accuracy	90.4%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	88.9%	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

102.0ms	136×	0	invalid
94.0ms	120×	0	valid

Compiler

Compiled 903 to 70 computations (92.2% saved)

Precisions

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

ival-mult: 77.0ms (54.3% of total)

ival-div: 27.0ms (19% of total)

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

ival-pow: 11.0ms (7.8% of total)

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

ival-pow2: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series63.0ms (0.3%)

Memory

-13.4MiB live, 143.6MiB allocated

Counts

19 → 780

Calls

Call 1

Inputs
#<alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))>
#<alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))>
#<alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))>
#<alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 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 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64)))>
#<alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d))>
#<alt (/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 d (.f64 M D)))>
#<alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 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 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))>
#<alt (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l)))>
#<alt (.f64 h (.f64 M M))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D))>
#<alt (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))>
#<alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))>
#<alt (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))>
#<alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))>
#<alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 d (.f64 M D))))) (/.f64 h l))>
#<alt (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 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)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 d (.f64 M D))))) (/.f64 h l))))>

Outputs
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
#<alt (* 1/4 (/ (* D (* M h)) d))>
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Calls

195 calls:

Time	Variable		Point	Expression
6.0ms	l	@	inf	(* (* (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 (* M D)) (* d 2)) (/ 1 h))
1.0ms	d	@	0	(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
1.0ms	d	@	-inf	(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
1.0ms	D	@	0	(/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))

simplify360.0ms (1.6%)

Memory

7.4MiB live, 484.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 304×	`lower-*.f64`
5 304×	`lower-*.f32`
5 208×	`lower-fma.f64`
5 208×	`lower-fma.f32`
3 628×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	12647
1	381	12434
2	1351	12401
3	2992	12332
4	5626	12332
0	8595	12173

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 780

Calls

Call 1

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

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

rewrite342.0ms (1.5%)

Memory

11.6MiB live, 673.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 410×	`lower-*.f32`
7 352×	`lower-*.f64`
4 566×	`lower-/.f32`
4 536×	`lower-/.f64`
2 446×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	305
0	137	298
1	451	264
2	3579	262
0	10184	259

Stop Event

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

Counts

19 → 693

Calls

Call 1

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

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

eval716.0ms (3.1%)

Memory: -105.9MiB live, 486.7MiB allocated
Compiler: Compiled 68 252 to 3 345 computations (95.1% saved)

prune220.0ms (1%)

Memory

6.3MiB live, 478.3MiB allocated

Pruning

43 alts after pruning (43 fresh and 0 done)

	Pruned	Kept	Total
New	1 824	40	1 864
Fresh	22	3	25
Picked	5	0	5
Done	0	0	0
Total	1 851	43	1 894

Accuracy

92.9%

Counts

1 894 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.7%	(fma.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d h))) (.f64 (neg.f64 #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal 1/8 binary64))) (.f64 D D)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l)))))
	32.4%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal 2 binary64))) (*.f64 d #s(literal 2 binary64)))) h)))) (sqrt.f64 h))
	28.2%	(+.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (.f64 (neg.f64 (/.f64 (.f64 h (.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) D))) l)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))))
	35.2%	(.f64 (fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) D)) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	43.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal 2 binary64))) (.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	36.3%	(.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal 1/8 binary64))) (.f64 D D)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	50.2%	(.f64 (.f64 (pow.f64 (/.f64 (.f64 (/.f64 d h) d) h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	53.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 h #s(literal 1/2 binary64))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
	64.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	43.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	32.9%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	38.1%	(.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 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	30.0%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
▶	74.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	57.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))))
	57.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	43.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	31.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 M D)))))
	32.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))))) (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
▶	73.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	57.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))))
	68.6%	(.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)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 d (.f64 M D))))) (/.f64 h l))))
	56.6%	(.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	43.7%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	32.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 M D)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M D)))))
	39.7%	(.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)) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) (/.f64 d (.f64 M D))))) (/.f64 h l))))
▶	31.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	56.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (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 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	26.5%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal 2 binary64))) (.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (sqrt.f64 (.f64 (/.f64 d l) d)))
	50.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal 1/8 binary64))) (.f64 D D)) (.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	37.0%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	37.5%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal 2 binary64)))) (.f64 h (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))))))
	37.1%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (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))))
	43.6%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
▶	56.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) D)) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	61.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal 2 binary64))) (*.f64 d #s(literal 2 binary64)))) h))) (sqrt.f64 (/.f64 d h)))
	12.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) (sqrt.f64 (.f64 h l)))) (/.f64 #s(literal -1/8 binary64) d))) (*.f64 l l)))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 (.f64 D (.f64 D (*.f64 M M))) #s(literal 1/8 binary64)) d)))
	13.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 h (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 l l))))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h)))))))))
▶	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))

Compiler

Compiled 3 350 to 2 088 computations (37.7% saved)

simplify265.0ms (1.2%)

Memory

-39.9MiB live, 324.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	1088	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	0	(*.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))))
✓	cost-diff	0	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 d l))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) D)) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
✓	cost-diff	320	(.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) D))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 h l))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
✓	cost-diff	0	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
✓	cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
✓	cost-diff	384	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	1088	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

8 480×	`lower-*.f32`
8 430×	`lower-*.f64`
2 156×	`lower-/.f32`
2 128×	`lower-/.f64`
1 642×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	800
0	147	797
1	286	709
2	895	701
3	6384	701
0	8290	693

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

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

localize290.0ms (1.3%)

Memory

24.6MiB live, 460.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.6%	(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
✓	accuracy	94.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64)))
✓	accuracy	90.7%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	89.3%	(sqrt.f64 (/.f64 d l))
✓	accuracy	93.5%	(.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))
✓	accuracy	92.8%	(.f64 h (.f64 M M))
✓	accuracy	89.3%	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	87.3%	(/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l)))
✓	accuracy	92.7%	(/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))
✓	accuracy	92.0%	(fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) D)) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))
✓	accuracy	90.7%	(sqrt.f64 (/.f64 d h))
✓	accuracy	89.3%	(sqrt.f64 (/.f64 d l))
✓	accuracy	99.8%	(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 h l))
✓	accuracy	90.2%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
✓	accuracy	49.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
✓	accuracy	94.6%	(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
✓	accuracy	94.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64)))
✓	accuracy	90.7%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	88.9%	(sqrt.f64 (/.f64 l d))

Samples

76.0ms	136×	0	valid
69.0ms	120×	0	invalid

Compiler

Compiled 776 to 74 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 46.0ms (43.1% of total)

ival-div: 28.0ms (26.3% of total)

ival-pow: 11.0ms (10.3% of total)

ival-sqrt: 10.0ms (9.4% of total)

ival-sub: 4.0ms (3.8% of total)

ival-neg: 3.0ms (2.8% of total)

ival-pow2: 2.0ms (1.9% of total)

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

exact: 1.0ms (0.9% of total)

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

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

series58.0ms (0.3%)

Memory

-8.6MiB live, 104.8MiB allocated

Counts

24 → 888

Calls

Call 1

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

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

Calls

222 calls:

Time	Variable		Point	Expression
4.0ms	l	@	0	(/ (/ (* M D) (* d 2)) l)
2.0ms	h	@	-inf	(* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1))
1.0ms	l	@	0	(* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1))
1.0ms	M	@	0	(/ (/ (* M D) (* d 2)) l)
1.0ms	D	@	0	(/ (/ (* M D) (* d 2)) l)

simplify365.0ms (1.6%)

Memory

21.5MiB live, 527.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 250×	`lower-*.f64`
8 250×	`lower-*.f32`
4 922×	`lower-fma.f64`
4 922×	`lower-fma.f32`
2 736×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	12237
1	681	11829
2	2429	11779
3	5514	11746
0	8237	11536

Stop Event

1×	iter limit
1×	node limit

Counts

888 → 888

Calls

Call 1

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

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

rewrite406.0ms (1.8%)

Memory

12.0MiB live, 732.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 468×	`lower-*.f32`
7 428×	`lower-*.f64`
4 536×	`lower-/.f32`
4 510×	`lower-/.f64`
2 490×	`lower--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	319
0	130	306
1	417	282
2	3207	276
0	10113	276

Stop Event

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

Counts

24 → 811

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.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 (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 (neg.f64 d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d h))
(neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (neg.f64 (sqrt.f64 (neg.f64 h)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 d)))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 h)))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (/.f64 (neg.f64 d) #s(literal -1 binary64))) (sqrt.f64 h))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (neg.f64 h)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 d))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 h)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 h))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 d #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(.f64 (sqrt.f64 (.f64 d #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 h (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 h (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)))) #s(literal 1 binary64)))
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eval375.0ms (1.6%)

Memory: 6.7MiB live, 612.7MiB allocated
Compiler: Compiled 74 835 to 3 618 computations (95.2% saved)

prune396.0ms (1.7%)

Memory

6.4MiB live, 671.7MiB allocated

Pruning

64 alts after pruning (62 fresh and 2 done)

	Pruned	Kept	Total
New	2 158	49	2 207
Fresh	25	13	38
Picked	3	2	5
Done	0	0	0
Total	2 186	64	2 250

Accuracy

93.8%

Counts

2 250 → 64

Alt Table

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Status	Accuracy	Program
▶	56.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (.f64 d #s(literal 2 binary64))))) (/.f64 h l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	24.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M)))) (/.f64 D (.f64 l (.f64 d d)))))) (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l)))) (sqrt.f64 (neg.f64 h)))
	33.1%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (*.f64 d #s(literal 2 binary64))))) (/.f64 h l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	29.5%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (*.f64 d #s(literal 2 binary64))))) (/.f64 h l))) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l))
	27.3%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (*.f64 d #s(literal 2 binary64))))) (/.f64 h l))))
	29.7%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	43.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal 2 binary64))) (.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	36.3%	(.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal 1/8 binary64))) (.f64 D D)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	64.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	43.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	38.1%	(.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 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	43.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))) (sqrt.f64 (neg.f64 d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	31.8%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) D)) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	43.7%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	39.0%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	57.4%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (*.f64 d #s(literal 2 binary64))))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	37.5%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal 2 binary64)))) (.f64 h (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))))))
	39.0%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	43.6%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	53.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64)))) (.f64 (.f64 M D) (/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) h) (neg.f64 l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	64.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) d)) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
✓	56.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) D)) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	49.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 #s(approx (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) (*.f64 d d)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	54.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 M (.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) h) (neg.f64 l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	61.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal 2 binary64))) (*.f64 d #s(literal 2 binary64)))) h))) (sqrt.f64 (/.f64 d h)))
	56.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	44.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 l (.f64 d d))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 d h)))
	45.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (*.f64 d d)) l) l))) (sqrt.f64 (/.f64 d h)))
	41.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 D (/.f64 (.f64 h (.f64 D (.f64 M M))) l)) (.f64 d d)) (.f64 d d)))) (sqrt.f64 (/.f64 d h)))
▶	17.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 M M)) (.f64 l (*.f64 d d))))) (sqrt.f64 (/.f64 d h)))
▶	74.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	73.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	29.7%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d) (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	32.3%	(.f64 #s(approx ( (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	6.5%	(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (.f64 h (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (.f64 l (.f64 d (.f64 d d)))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 M M))))) (sqrt.f64 (/.f64 d h)))
	40.6%	(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	10.8%	(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	12.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) (sqrt.f64 (.f64 h l)))) (/.f64 #s(literal -1/8 binary64) d))) (*.f64 l l)))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
	21.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (.f64 l (/.f64 h d)))))
	18.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	19.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
▶	17.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	17.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
▶	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	35.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	12.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 (.f64 D (.f64 D (*.f64 M M))) #s(literal 1/8 binary64)) d)))
	13.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 h (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 l l))))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h)))))))))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
	2.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l)))))
	25.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
✓	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))

Compiler

Compiled 3 651 to 2 368 computations (35.1% saved)

simplify251.0ms (1.1%)

Memory

-4.0MiB live, 388.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (.f64 d #s(literal 2 binary64))))) (/.f64 h l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
✓	cost-diff	64	(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (*.f64 d #s(literal 2 binary64))))) (/.f64 h l))
✓	cost-diff	64	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (*.f64 d #s(literal 2 binary64))))) (/.f64 h l)))
✓	cost-diff	320	(/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (.f64 d #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 d l)
✓	cost-diff	0	(sqrt.f64 (/.f64 d l))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ ( (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 M M)) (.f64 l (*.f64 d d)))))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 M M)) (.f64 l (*.f64 d d))))) (sqrt.f64 (/.f64 d h)))
✓	cost-diff	0	(*.f64 (neg.f64 d) (/.f64 d l))
✓	cost-diff	0	(sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l)))
✓	cost-diff	0	(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))
✓	cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
✓	cost-diff	0	(*.f64 h l)
✓	cost-diff	0	(sqrt.f64 (*.f64 h l))
✓	cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 h l)))
✓	cost-diff	0	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
✓	cost-diff	320	(*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
✓	cost-diff	384	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l)
✓	cost-diff	384	(.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
✓	cost-diff	1088	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))

Rules

6 584×	`lower-*.f32`
6 538×	`lower-*.f64`
4 046×	`lower-/.f32`
4 014×	`lower-/.f64`
2 940×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	698
0	142	702
1	279	647
2	955	633
3	4506	633
0	8056	623

Stop Event

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

Calls

Call 1

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

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

localize305.0ms (1.3%)

Memory

-8.4MiB live, 518.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.0%	(sqrt.f64 (/.f64 h d))
✓	accuracy	89.4%	(/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (.f64 d #s(literal 2 binary64))))
✓	accuracy	89.3%	(sqrt.f64 (/.f64 d l))
✓	accuracy	88.7%	(.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (*.f64 d #s(literal 2 binary64))))) (/.f64 h l))
✓	accuracy	89.3%	(sqrt.f64 (/.f64 d l))
✓	accuracy	87.1%	(.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (*.f64 M M))
✓	accuracy	86.9%	(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 M M)) (.f64 l (*.f64 d d)))
✓	accuracy	76.6%	#s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 M M)) (.f64 l (*.f64 d d))))
✓	accuracy	99.9%	(*.f64 (neg.f64 d) (/.f64 d l))
✓	accuracy	97.7%	(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))
✓	accuracy	81.2%	(sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l)))
✓	accuracy	70.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
✓	accuracy	100.0%	(*.f64 h l)
✓	accuracy	99.8%	(/.f64 d (sqrt.f64 (*.f64 h l)))
✓	accuracy	89.7%	(sqrt.f64 (*.f64 h l))
✓	accuracy	49.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
✓	accuracy	94.6%	(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
✓	accuracy	94.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64)))
✓	accuracy	90.7%	(sqrt.f64 (/.f64 d h))
✓	accuracy	88.9%	(sqrt.f64 (/.f64 l d))

Samples

99.0ms	120×	0	invalid
76.0ms	136×	0	valid

Compiler

Compiled 635 to 74 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 74.0ms (54.5% of total)

ival-div: 32.0ms (23.6% of total)

ival-sqrt: 11.0ms (8.1% of total)

ival-pow: 11.0ms (8.1% of total)

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

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

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

exact: 1.0ms (0.7% of total)

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

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

series91.0ms (0.4%)

Memory

-0.5MiB live, 74.6MiB allocated

Counts

28 → 1 164

Calls

Call 1

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

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

Calls

291 calls:

Time	Variable		Point	Expression
34.0ms	l	@	0	(/ (sqrt (* (neg d) (/ d l))) (sqrt (neg h)))
13.0ms	h	@	-inf	(/ d (sqrt (* h l)))
1.0ms	d	@	0	(sqrt (* (neg d) (/ d l)))
1.0ms	l	@	-inf	(* (sqrt (/ d h)) (/ 1 (sqrt (/ l d))))
1.0ms	l	@	0	(sqrt (* (neg d) (/ d l)))

simplify366.0ms (1.6%)

Memory

-3.2MiB live, 591.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 544×	`lower-*.f64`
7 544×	`lower-*.f32`
4 452×	`lower-fma.f64`
4 452×	`lower-fma.f32`
3 078×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	16793
1	773	16500
2	2774	16443
3	6693	16407
0	8186	16116

Stop Event

1×	iter limit
1×	node limit

Counts

1 164 → 1 164

Calls

Call 1

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

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

rewrite523.0ms (2.3%)

Memory

12.8MiB live, 708.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 762×	`lower-*.f32`
7 718×	`lower-*.f64`
4 866×	`lower-/.f32`
4 834×	`lower-/.f64`
2 544×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	466
0	136	457
1	434	414
2	3364	376
0	10457	371

Stop Event

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

Counts

28 → 1 095

Calls

Call 1

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

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

eval419.0ms (1.8%)

Memory: 41.9MiB live, 648.0MiB allocated
Compiler: Compiled 72 506 to 4 272 computations (94.1% saved)

prune460.0ms (2%)

Memory

-27.4MiB live, 887.5MiB allocated

Pruning

68 alts after pruning (64 fresh and 4 done)

	Pruned	Kept	Total
New	2 490	31	2 521
Fresh	24	33	57
Picked	3	2	5
Done	0	2	2
Total	2 517	68	2 585

Accuracy

93.8%

Counts

2 585 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.9%	(/.f64 (.f64 (fma.f64 (.f64 M D) (neg.f64 (/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) h) (.f64 (.f64 d (.f64 d #s(literal 2 binary64))) l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
	24.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (.f64 (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M)))) (/.f64 D (.f64 l (.f64 d d)))))) (sqrt.f64 (.f64 (neg.f64 d) (/.f64 d l)))) (sqrt.f64 (neg.f64 h)))
	33.1%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (*.f64 d #s(literal 2 binary64))))) (/.f64 h l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
	9.4%	(/.f64 (.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 #s(literal -1/8 binary64) (.f64 M M))) (.f64 d (*.f64 d l)))))) (sqrt.f64 l))
	37.7%	(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (.f64 (/.f64 h d) (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	26.8%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/4 binary64)))) h) (.f64 (.f64 d (.f64 d #s(literal 2 binary64))) l))))
	37.1%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	29.7%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	11.6%	(.f64 (/.f64 d (sqrt.f64 (.f64 h l))) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 #s(literal -1/8 binary64) (.f64 M M))) (.f64 d (*.f64 d l)))))
	43.3%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal 2 binary64))) (.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	36.3%	(.f64 (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal 1/8 binary64))) (.f64 D D)) (.f64 d (.f64 d l))))) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	64.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 h #s(literal 1/2 binary64)) l) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	12.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))) (.f64 M M)) (.f64 l (*.f64 d d))))) (sqrt.f64 (/.f64 d h)))
	37.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	57.4%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D #s(literal 1/4 binary64))) (.f64 d (*.f64 d #s(literal 2 binary64))))) (/.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	37.5%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal 2 binary64)))) (.f64 h (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))))))
	43.6%	(.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	53.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64)))) (.f64 (.f64 M D) (/.f64 (.f64 (.f64 D #s(literal 1/4 binary64)) h) (neg.f64 l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	64.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 (/.f64 M (.f64 d #s(literal 2 binary64))) d)) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
✓	56.8%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (.f64 M D) (/.f64 M (.f64 d (.f64 d #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) D)) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	49.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 #s(approx (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) (*.f64 d d)))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	61.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (.f64 l (.f64 d #s(literal 2 binary64))) (*.f64 d #s(literal 2 binary64)))) h))) (sqrt.f64 (/.f64 d h)))
	27.0%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 D D) #s(literal -1/8 binary64))) (/.f64 (*.f64 M M) l)) d) d))) (sqrt.f64 (/.f64 d h)))
	21.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (.f64 (.f64 (.f64 h (.f64 D D)) (.f64 #s(literal -1/8 binary64) M)) M) (.f64 l (*.f64 d d))))) (sqrt.f64 (/.f64 d h)))
	23.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (.f64 M D) (.f64 M D))) (.f64 l (*.f64 d d))))) (sqrt.f64 (/.f64 d h)))
	22.5%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 #s(literal -1/8 binary64) M)) l) (/.f64 M (.f64 d d))))) (sqrt.f64 (/.f64 d h)))
	71.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) h) (.f64 M D)) (.f64 (*.f64 d #s(literal 2 binary64)) l))))
	74.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 M D) d)) h) (.f64 (/.f64 l (.f64 M D)) (.f64 d #s(literal 2 binary64))))))
	22.7%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) #s(approx (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1) (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 #s(literal -1/8 binary64) (.f64 M M))) (.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d l)))
	29.7%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d) (-.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	38.5%	(.f64 (.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	32.3%	(.f64 #s(approx ( (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 D (.f64 D (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M))))) (.f64 d (*.f64 d l))))))
	6.5%	(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (.f64 h (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (.f64 l (.f64 d (.f64 d d)))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (*.f64 M M))))) (sqrt.f64 (/.f64 d h)))
	40.6%	(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	10.8%	(.f64 #s(approx ( (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
	44.3%	(.f64 #s(approx ( (sqrt (/ d h)) (/ 1 (sqrt (/ l d)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
	24.4%	#s(approx (/ (* (- 1 (* (* (* M D) (/ (* M (* D 1/4)) (* d (* d 2)))) (/ h l))) (sqrt (/ d l))) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
	13.7%	#s(approx (/ (* (- 1 (* (* (* M D) (/ (* M (* D 1/4)) (* d (* d 2)))) (/ h l))) (sqrt (/ d l))) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
	14.2%	#s(approx (/ (* (- 1 (* (* (* M D) (/ (* M (* D 1/4)) (* d (* d 2)))) (/ h l))) (sqrt (/ d l))) (sqrt (/ h d))) (/.f64 (.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))) #s(literal -1/8 binary64))) d))
	25.3%	#s(approx (/ (* (- 1 (* (* (* M D) (/ (* M (* D 1/4)) (* d (* d 2)))) (/ h l))) (sqrt (/ d l))) (sqrt (/ h d))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d)))
	16.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 d (neg.f64 d)))) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
	2.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
	18.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (.f64 h l)))) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) d)) (.f64 (neg.f64 (sqrt.f64 (.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 h l))))))
	18.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
	19.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
✓	17.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
	17.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 (.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (.f64 (neg.f64 h) (/.f64 l d)))))
	21.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (/.f64 l d) h))))
	26.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
	35.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
	2.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h)))))
	2.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d))
	12.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
	16.9%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 (.f64 D (.f64 D (*.f64 M M))) #s(literal 1/8 binary64)) d)))
	28.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 h (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 l l))))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h)))))))))
	26.4%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
	25.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓	25.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
	24.1%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (sqrt.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (/.f64 #s(literal 1 binary64) (.f64 h l)))))))
	24.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (exp.f64 (.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
	24.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))

Compiler

Compiled 6 142 to 1 800 computations (70.7% saved)

regimes374.0ms (1.6%)

Memory

-35.4MiB live, 678.9MiB allocated

Counts

151 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

86.0ms	M
53.0ms	d
53.0ms	(*.f64 M D)
48.0ms	l
43.0ms	D

Results

Accuracy	Segments	Branch
82.7%	2	`d`
85.2%	3	`h`
85.2%	3	`l`
74.3%	1	`M`
74.3%	1	`D`
79.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
74.3%	1	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes72.0ms (0.3%)

Memory

29.7MiB live, 187.0MiB allocated

Counts

114 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

34.0ms	l
31.0ms	h

Results

Accuracy	Segments	Branch
85.2%	3	`h`
84.6%	3	`l`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes45.0ms (0.2%)

Memory

-22.4MiB live, 57.8MiB allocated

Counts

92 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
85.2%	3	`h`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes91.0ms (0.4%)

Memory

13.0MiB live, 131.7MiB allocated

Counts

91 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

33.0ms	h
27.0ms	d
26.0ms	l

Results

Accuracy	Segments	Branch
81.8%	2	`d`
83.9%	3	`l`
81.8%	2	`h`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes87.0ms (0.4%)

Memory

-4.4MiB live, 163.2MiB allocated

Counts

89 → 4

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	d
26.0ms	l
26.0ms	h

Results

Accuracy	Segments	Branch
81.2%	3	`d`
80.4%	3	`h`
84.5%	4	`l`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes28.0ms (0.1%)

Memory

19.1MiB live, 57.7MiB allocated

Counts

82 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes218.0ms (0.9%)

Memory

-18.9MiB live, 369.2MiB allocated

Counts

81 → 4

Calls

Call 1

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

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

Calls

7 calls:

69.0ms	M
26.0ms	(*.f64 M D)
25.0ms	h
24.0ms	d
23.0ms	D

Results

Accuracy	Segments	Branch
71.2%	1	`D`
72.9%	2	`M`
71.2%	1	`(*.f64 M D)`
74.6%	3	`h`
74.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
74.6%	3	`d`
78.1%	4	`l`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes497.0ms (2.2%)

Memory

-6.0MiB live, 247.5MiB allocated

Counts

79 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

261.0ms	d
53.0ms	l
47.0ms	D
44.0ms	(.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	(*.f64 M D)

Results

Accuracy	Segments	Branch
65.7%	2	`D`
67.9%	2	`(*.f64 M D)`
68.2%	2	`M`
73.3%	4	`h`
69.3%	2	`d`
71.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
73.2%	3	`l`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes86.0ms (0.4%)

Memory

-5.8MiB live, 71.4MiB allocated

Counts

76 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

38.0ms

25.0ms

18.0ms

(*.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
65.6%	2	`h`
71.0%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
66.2%	2	`l`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes118.0ms (0.5%)

Memory

29.6MiB live, 71.4MiB allocated

Counts

73 → 4

Calls

Call 1

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

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

Calls

4 calls:

57.0ms	d
20.0ms	M
19.0ms	(*.f64 M D)
17.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
68.2%	3	`(*.f64 M D)`
65.2%	2	`M`
63.8%	2	`d`
70.2%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes65.0ms (0.3%)

Memory

-18.1MiB live, 19.8MiB allocated

Counts

65 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

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

Calls

2 calls:

43.0ms

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

17.0ms

(*.f64 M D)

Results

Accuracy	Segments	Branch
68.0%	3	`(*.f64 M D)`
68.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 48 to 28 computations (41.7% saved)

regimes113.0ms (0.5%)

Memory

7.2MiB live, 84.0MiB allocated

Counts

63 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

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

Calls

5 calls:

30.0ms	h
28.0ms	(*.f64 M D)
17.0ms	l
17.0ms	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
66.1%	5	`h`
58.7%	2	`D`
66.4%	4	`l`
63.1%	3	`(*.f64 M D)`
66.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes90.0ms (0.4%)

Memory

-0.1MiB live, 82.1MiB allocated

Counts

61 → 4

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	(.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))))
22.0ms	l
17.0ms	M
17.0ms	d

Results

Accuracy	Segments	Branch
66.4%	4	`l`
65.2%	5	`d`
59.5%	2	`M`
65.2%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes111.0ms (0.5%)

Memory

9.5MiB live, 86.5MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

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

Calls

7 calls:

31.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
20.0ms	d
12.0ms	l
12.0ms	M
11.0ms	h

Results

Accuracy	Segments	Branch
47.9%	3	`D`
51.8%	2	`M`
57.3%	5	`d`
54.1%	4	`h`
51.3%	2	`(*.f64 M D)`
57.9%	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))))`
59.1%	4	`l`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes56.0ms (0.2%)

Memory

-31.6MiB live, 13.6MiB allocated

Counts

39 → 5

Calls

Call 1

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

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

Calls

2 calls:

43.0ms

10.0ms

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

Results

Accuracy	Segments	Branch
59.2%	5	`l`
54.9%	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))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes13.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

38 → 5

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
59.2%	5	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes67.0ms (0.3%)

Memory

-11.3MiB live, 26.8MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

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

Calls

2 calls:

10.0ms

9.0ms

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

Results

Accuracy	Segments	Branch
54.9%	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))))`
56.0%	5	`l`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes79.0ms (0.3%)

Memory

31.6MiB live, 68.6MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

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

Calls

6 calls:

31.0ms	l
9.0ms	M
9.0ms	d
9.0ms	h
9.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
48.4%	3	`h`
47.0%	2	`(*.f64 M D)`
53.6%	5	`l`
47.1%	2	`M`
51.8%	5	`d`
51.4%	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 72 to 48 computations (33.3% saved)

regimes32.0ms (0.1%)

Memory

-10.6MiB live, 28.4MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))

(*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

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

Calls

2 calls:

20.0ms

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

9.0ms

Results

Accuracy	Segments	Branch
48.9%	3	`l`
50.1%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes10.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))

(*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (* (* (* M D) (/ M (* d (* d 2)))) (* 1/4 D)) (neg (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))

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

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
49.7%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes59.0ms (0.3%)

Memory

-21.3MiB live, 22.0MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	M
7.0ms	d
7.0ms	l
6.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
42.8%	2	`M`
46.1%	2	`d`
47.1%	2	`l`
47.6%	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 58 to 37 computations (36.2% saved)

regimes6.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
47.0%	2	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes5.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
47.0%	2	`l`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes34.0ms (0.1%)

Memory

-11.4MiB live, 28.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

16.0ms	h
3.0ms	D
3.0ms	l
3.0ms	M
3.0ms	d

Results

Accuracy	Segments	Branch
30.7%	3	`M`
32.8%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
41.1%	2	`d`
31.7%	3	`D`
41.1%	2	`h`
29.8%	2	`(*.f64 M D)`
42.0%	2	`l`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes8.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

2.0ms	h
2.0ms	l
2.0ms	d

Results

Accuracy	Segments	Branch
33.0%	2	`h`
33.8%	2	`d`
33.1%	2	`l`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
33.8%	2	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes34.0ms (0.1%)

Memory

-14.9MiB live, 24.5MiB allocated

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 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 h l))))

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

Calls

7 calls:

25.0ms	(.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	M
1.0ms	d
1.0ms	D
1.0ms	h

Results

Accuracy	Segments	Branch
25.3%	1	`M`
25.3%	1	`(*.f64 M D)`
25.3%	1	`D`
25.3%	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))))`
25.3%	1	`h`
25.3%	1	`l`
25.3%	1	`d`

Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch189.0ms (0.8%)

Memory

31.5MiB live, 220.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
99.0ms	-6.158255673210865e-308	8.736596866249552e-308
79.0ms	-2.1052806674456643e+129	-4.215459245696154e+123

Samples

92.0ms	235×	0	invalid
68.0ms	256×	0	valid

Compiler

Compiled 1 478 to 928 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-pow: 44.0ms (39% of total)

ival-mult: 32.0ms (28.4% of total)

ival-div: 29.0ms (25.7% of total)

ival-pow2: 5.0ms (4.4% of total)

ival-sub: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

bsearch130.0ms (0.6%)

Memory

-29.3MiB live, 288.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
65.0ms	-5.961027963473099e-298	5.078528459132264e-305
51.0ms	-5.364873033591134e+177	-3.096423295198593e+170

Samples

53.0ms	304×	0	valid
37.0ms	270×	0	invalid

Compiler

Compiled 1 658 to 1 027 computations (38.1% saved)

Precisions

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

ival-div: 20.0ms (29.9% of total)

ival-mult: 19.0ms (28.4% of total)

ival-pow: 18.0ms (27% of total)

ival-pow2: 6.0ms (9% of total)

ival-sub: 3.0ms (4.5% of total)

exact: 1.0ms (1.5% of total)

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

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

bsearch4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.961027963473099e-298	5.078528459132264e-305
1.0ms	-5.364873033591134e+177	-3.096423295198593e+170

Compiler

Compiled 1 638 to 1 017 computations (37.9% saved)

bsearch27.0ms (0.1%)

Memory

-21.1MiB live, 32.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-6.158255673210865e-308	8.736596866249552e-308
23.0ms	-3.6448934448074428e+143	-2.9382884368483205e+143

Samples

7.0ms	48×	0	valid
5.0ms	39×	0	invalid

Compiler

Compiled 867 to 546 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (30.8% of total)

ival-mult: 3.0ms (30.8% of total)

ival-pow: 3.0ms (30.8% of total)

ival-pow2: 1.0ms (10.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch75.0ms (0.3%)

Memory

28.0MiB live, 146.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
65.0ms	1.590199465068023e+88	1.075521537383017e+98
1.0ms	-6.158255673210865e-308	8.736596866249552e-308
1.0ms	-3.6448934448074428e+143	-2.9382884368483205e+143

Samples

29.0ms	194×	0	invalid
24.0ms	160×	0	valid

Compiler

Compiled 1 369 to 875 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 12.0ms (29.6% of total)

ival-mult: 11.0ms (27.1% of total)

ival-pow: 11.0ms (27.1% of total)

ival-pow2: 3.0ms (7.4% of total)

ival-sub: 2.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.590199465068023e+88	1.075521537383017e+98
1.0ms	-6.158255673210865e-308	8.736596866249552e-308

Compiler

Compiled 1 126 to 716 computations (36.4% saved)

bsearch47.0ms (0.2%)

Memory

-31.4MiB live, 49.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	1.590199465068023e+88	1.075521537383017e+98
1.0ms	-6.158255673210865e-308	8.736596866249552e-308
28.0ms	-3.21014270123761e+228	-1.1667417056492695e+228

Samples

14.0ms	80×	0	valid
9.0ms	66×	0	invalid

Compiler

Compiled 1 392 to 906 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (38% of total)

ival-pow: 5.0ms (27.1% of total)

ival-mult: 4.0ms (21.7% of total)

ival-sub: 1.0ms (5.4% of total)

ival-pow2: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.590199465068023e+88	1.075521537383017e+98
1.0ms	-6.158255673210865e-308	8.736596866249552e-308

Compiler

Compiled 1 098 to 716 computations (34.8% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-inf	-1.0414452485454186e+201

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-4.20670929589367e-140	0.0
0.0ms	-inf	-1.0414452485454186e+201

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.3644675080488163e-90	-4.20670929589367e-140

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-4.20670929589367e-140	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch212.0ms (0.9%)

Memory

-19.1MiB live, 260.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
70.0ms	1.590199465068023e+88	1.075521537383017e+98
32.0ms	-2.7289398296119387e-270	-7.905852629849776e-271
84.0ms	-3.5966973580849332e+180	-2.802295303361361e+172

Samples

78.0ms	352×	0	valid
68.0ms	346×	0	invalid

Compiler

Compiled 1 346 to 919 computations (31.7% saved)

Precisions

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

ival-pow: 44.0ms (36.6% of total)

ival-div: 40.0ms (33.3% of total)

ival-mult: 25.0ms (20.8% of total)

ival-pow2: 7.0ms (5.8% of total)

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

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

exact: 1.0ms (0.8% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3522593312013142e+267	+inf
0.0ms	0.0	4.569303820295636e-267

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch147.0ms (0.6%)

Memory

2.1MiB live, 162.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.590199465068023e+88	1.075521537383017e+98
1.0ms	-2.7289398296119387e-270	-7.905852629849776e-271
38.0ms	-2.9133342187241494e-83	-6.306007017687507e-84
89.0ms	-7.620712141159855e+159	-3.6448934448074428e+143

Samples

69.0ms	195×	0	invalid
43.0ms	256×	0	valid

Compiler

Compiled 1 399 to 989 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-pow: 20.0ms (33.7% of total)

ival-mult: 17.0ms (28.6% of total)

ival-div: 16.0ms (27% of total)

ival-pow2: 4.0ms (6.7% of total)

ival-sub: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.590199465068023e+88	1.075521537383017e+98
1.0ms	-2.7289398296119387e-270	-7.905852629849776e-271
1.0ms	-2.9133342187241494e-83	-6.306007017687507e-84
1.0ms	-7.620712141159855e+159	-3.6448934448074428e+143

Compiler

Compiled 1 369 to 974 computations (28.9% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3522593312013142e+267	+inf
0.0ms	-inf	-1.0414452485454186e+201

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3522593312013142e+267	+inf
0.0ms	-1.3644675080488163e-90	-4.20670929589367e-140

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3522593312013142e+267	+inf
0.0ms	-4.20670929589367e-140	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3522593312013142e+267	+inf
0.0ms	-4.20670929589367e-140	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch106.0ms (0.5%)

Memory

9.9MiB live, 128.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
98.0ms	2.599836840850037e-175	1.649284537475073e-161

Samples

48.0ms	192×	0	invalid
39.0ms	160×	0	valid

Compiler

Compiled 343 to 270 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-div: 26.0ms (38.4% of total)

ival-mult: 26.0ms (38.4% of total)

ival-pow: 10.0ms (14.8% of total)

ival-pow2: 3.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.599836840850037e-175	1.649284537475073e-161

Compiler

Compiled 323 to 250 computations (22.6% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.599836840850037e-175	1.649284537475073e-161

Compiler

Compiled 323 to 250 computations (22.6% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.599836840850037e-175	1.649284537475073e-161

Compiler

Compiled 333 to 260 computations (21.9% saved)

bsearch118.0ms (0.5%)

Memory

-26.9MiB live, 93.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
112.0ms	-2.199006645353975e-126	-5.2820146729517485e-136

Samples

47.0ms	144×	0	valid
37.0ms	123×	0	invalid

Compiler

Compiled 295 to 219 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-pow2: 49.0ms (65.4% of total)

ival-div: 9.0ms (12% of total)

ival-mult: 9.0ms (12% of total)

ival-pow: 6.0ms (8% of total)

ival-sub: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.199006645353975e-126	-5.2820146729517485e-136

Compiler

Compiled 277 to 201 computations (27.4% saved)

simplify79.0ms (0.3%)

Memory

26.0MiB live, 107.2MiB allocated

Algorithm

1×	egg-herbie

Rules

250×	`*-commutative_binary64`
226×	`neg-mul-1_binary64`
170×	`unsub-neg_binary64`
134×	`distribute-rgt-neg-in_binary64`
130×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	4453
1	426	4453
2	501	4453
3	581	4453
4	652	4453
5	695	4453
6	859	4453
7	1103	4453
8	1122	4453
9	1125	4453

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 l #s(literal -315000000000000010152358101925956325010091917764427309563184885530773811177364793443806462185649146808997545140970816328957952 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 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 l #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))))
(if (<=.f64 h #s(literal -319999999999999978835358347117751859959024069257706085955741703138464206943873167240221578430670703094692657471903526872172601860302340093849426721729193157598203200143360 binary64)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 h #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 #s(approx ( (sqrt (/ d h)) (/ 1 (sqrt (/ l d)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))))
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(if (<=.f64 d #s(literal -1997919072202235/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 h l))))

Outputs
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(if (<=.f64 d #s(literal -1997919072202235/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))))))
(if (<=.f64 d #s(literal -1997919072202235/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 d #s(literal -1997919072202235/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (/ (* M D) (* d 2)) l) (/ (/ (* 1/2 (* M D)) (* d 2)) (/ 1 h))))) (/.f64 d (sqrt.f64 (*.f64 l h))))

soundness4.3s (18.7%)

Memory

-16.1MiB live, 2 765.0MiB allocated

Rules

11 250×	`lower-*.f64`
11 250×	`lower-*.f32`
8 250×	`lower-*.f64`
8 250×	`lower-*.f32`
7 762×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	1972
1	74	1940
2	256	1940
3	1182	1940
4	3310	1940
5	3542	1940
6	3631	1940
7	3657	1940
8	3674	1940
9	3680	1940
10	4767	1940
11	4837	1940
12	4846	1940
13	4846	1940
14	5742	1940
15	7259	1940
16	7277	1940
17	7277	1940
18	7277	1940
19	7277	1940
0	10737	1940
0	268	16793
1	773	16500
2	2774	16443
3	6693	16407
0	8186	16116
0	82	319
0	130	306
1	417	282
2	3207	276
0	10113	276
0	139	12647
1	381	12434
2	1351	12401
3	2992	12332
4	5626	12332
0	8595	12173
0	87	466
0	136	457
1	434	414
2	3364	376
0	10457	371
0	76	305
0	137	298
1	451	264
2	3579	262
0	10184	259
0	238	12237
1	681	11829
2	2429	11779
3	5514	11746
0	8237	11536
0	19	42
0	32	40
1	94	40
2	515	40
3	5058	40
0	8121	40

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×	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

Compiler

Compiled 14 708 to 5 551 computations (62.3% saved)

preprocess179.0ms (0.8%)

Memory

38.3MiB live, 348.9MiB allocated

Remove

(sort M D)

(abs M)

(abs D)

Compiler

Compiled 6 650 to 1 116 computations (83.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated