Metrics for Falkner and Boettcher, Equation (22+)

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 22 to 17 computations (22.7% saved)

Precisions

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

ival-mult: 1.0ms (37% of total)

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

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

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

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

sample1.5s (29.5%)

Results

953.0ms	8256×	0	valid
1.0ms	12×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 685.0ms

ival-mult: 368.0ms (53.7% of total)

ival-sub: 96.0ms (14% of total)

ival-div: 76.0ms (11.1% of total)

ival-sqrt: 76.0ms (11.1% of total)

ival-pi: 43.0ms (6.3% of total)

const: 23.0ms (3.4% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess120.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-define`
594×	`times-frac`
473×	`fma-neg`
440×	`unsub-neg`
428×	`distribute-lft-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	292
1	91	272
2	210	252
3	706	248
4	2204	248
5	5036	236
6	7676	236

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v)))))))
(neg.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v))))))))

Outputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v)))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 (neg.f64 v) (neg.f64 v))))))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))

Symmetry

(abs v)

explain279.0ms (5.6%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(PI.f64)`
-	-	`(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`
-	-	`(.f64 #s(literal 6 binary64) (.f64 v v))`
-	-	`(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))`
-	-	`#s(literal 2 binary64)`
-	-	`v`
-	-	`#s(literal 6 binary64)`
-	-	`(*.f64 #s(literal 3 binary64) (PI.f64))`
-	-	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
-	-	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
-	-	`(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))`
-	-	`#s(literal 4 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 v v)`

Results

186.0ms

512×

valid

Compiler

Compiled 195 to 122 computations (37.4% saved)

Precisions

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

ival-mult: 78.0ms (57.2% of total)

ival-sub: 35.0ms (25.7% of total)

ival-sqrt: 12.0ms (8.8% of total)

const: 5.0ms (3.7% of total)

ival-div: 4.0ms (2.9% of total)

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

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 89 to 59 computations (33.7% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
▶	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Status

Accuracy

Program

▶

100.0%

(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))

▶

100.0%

(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))

▶

98.5%

(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))))

Compiler

Compiled 58 to 43 computations (25.9% saved)

localize453.0ms (9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 6 binary64) (.f64 v v))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (PI.f64))
✓	accuracy	99.8%	(.f64 #s(literal 6 binary64) (.f64 v v))
✓	accuracy	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
✓	accuracy	98.5%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	accuracy	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))

Rules

1052×	`unsub-neg`
575×	`distribute-lft-in`
431×	`distribute-rgt-in`
327×	`distribute-lft-neg-out`
326×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	720
1	74	702
2	156	702
3	439	702
4	1275	694
5	2180	674
6	3976	674
7	7026	674

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
#s(literal 4 binary64)
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
#s(literal 2 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
#s(literal 6 binary64)
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
#s(literal 4/3 binary64)
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
#s(literal -6 binary64)
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 4/3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

Outputs
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (fma.f64 v v #s(literal -1 binary64)))
#s(literal 4 binary64)
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal 3 binary64) (.f64 (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64))))
(.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 #s(literal 3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (PI.f64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 3 binary64)))
(.f64 (PI.f64) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)))
(.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (PI.f64) #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (PI.f64))
#s(literal 3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal 6 binary64) (.f64 v v))
(.f64 (.f64 v v) #s(literal 6 binary64))
(.f64 v (.f64 v #s(literal 6 binary64)))
#s(literal 6 binary64)
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64))
#s(literal 4/3 binary64)
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(*.f64 (PI.f64) (fma.f64 v (neg.f64 v) #s(literal 1 binary64)))
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
(.f64 v (.f64 v #s(literal -6 binary64)))
#s(literal -6 binary64)
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (fma.f64 v v #s(literal -1 binary64))) (PI.f64))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 4/3 binary64)
(PI.f64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 v v)
v
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

Results

220.0ms

256×

valid

Compiler

Compiled 211 to 119 computations (43.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 78.0ms (50.4% of total)

ival-sub: 23.0ms (14.9% of total)

ival-div: 15.0ms (9.7% of total)

ival-sqrt: 13.0ms (8.4% of total)

ival-add: 9.0ms (5.8% of total)

ival-fma: 9.0ms (5.8% of total)

const: 6.0ms (3.9% of total)

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

backward-pass: 0.0ms (0% of total)

series17.0ms (0.3%)

Counts

7 → 48

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 4/3 binary64) (PI.f64))>
#<alt (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))>
#<alt (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))>
#<alt (.f64 #s(literal 6 binary64) (.f64 v v))>
#<alt (*.f64 #s(literal 3 binary64) (PI.f64))>
#<alt (PI.f64)>
#<alt (*.f64 v v)>

Outputs
#<alt (/.f64 #s(literal 4/3 binary64) (PI.f64))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))>
#<alt (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64)))>
#<alt (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))))) (pow.f64 v #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (+.f64 (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (pow.f64 v #s(literal 6 binary64))))))) (pow.f64 v #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>
#<alt (pow.f64 v #s(literal 2 binary64))>

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(* 6 (* v v))
2.0ms	v	@	inf	(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
2.0ms	v	@	0	(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
1.0ms	v	@	-inf	(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
1.0ms	v	@	inf	(/ 4/3 (* (PI) (- 1 (* v v))))

rewrite278.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`log1p-expm1-u`
484×	`expm1-log1p-u`
341×	`prod-diff`
164×	`associate-r`
152×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	144
1	352	138
2	4783	138

Stop Event

1×	node limit

Counts

7 → 144

Calls

Call 1

Inputs
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(.f64 #s(literal 6 binary64) (.f64 v v))
(*.f64 #s(literal 3 binary64) (PI.f64))
(PI.f64)
(*.f64 v v)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 4/3 binary64))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))))
(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))) #s(literal 4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) #s(literal 4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal 6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 v #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 1 binary64)))

simplify125.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

316×	`associate-r`
298×	`associate-l`
291×	`distribute-lft-neg-out`
248×	`cube-prod`
242×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	7222
1	1032	6625
2	4700	6600

Stop Event

1×	node limit

Counts

192 → 250

Calls

Call 1

Inputs
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (.f64 #s(literal 4/3 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))))
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(.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))))
(.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))) #s(literal 4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) #s(literal 4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal 6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 v #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 v #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(+.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 (/.f64 #s(literal -4/3 binary64) (pow.f64 v #s(literal 2 binary64))) (PI.f64))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
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(pow.f64 v #s(literal 2 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 v #s(literal 2 binary64)))))
(pow.f64 v #s(literal 2 binary64))
(cbrt.f64 (pow.f64 v #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 v #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 v #s(literal 2 binary64))))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 1 binary64)))
(pow.f64 v #s(literal 2 binary64))

eval188.0ms (3.7%)

Compiler: Compiled 9370 to 7120 computations (24% saved)

prune50.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	356	2	358
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	356	5	361

Accuracy

100.0%

Counts

361 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	98.5%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
▶	96.9%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 78 to 61 computations (21.8% saved)

localize103.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
✓	cost-diff	0	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	accuracy	98.4%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
	accuracy	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))

Rules

7×	`*-commutative`
4×	`fma-define`
1×	`associate-/l*`
1×	`associate-*l/`
1×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	190
1	29	178
2	41	178
3	43	178
4	44	178

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
#s(literal 4/3 binary64)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 4/3 binary64)
(PI.f64)
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
#s(literal 4/3 binary64)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
#s(literal 4/3 binary64)
(PI.f64)
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64)))))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
(.f64 v (.f64 v #s(literal -6 binary64)))
(*.f64 v v)
v
#s(literal -6 binary64)

Results

69.0ms

256×

valid

Compiler

Compiled 60 to 40 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 11.0ms (30.4% of total)

ival-sqrt: 10.0ms (27.7% of total)

ival-div: 8.0ms (22.1% of total)

ival-add: 4.0ms (11.1% of total)

const: 2.0ms (5.5% of total)

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

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

5 → 24

Calls

Call 1

Inputs
#<alt (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))>
#<alt (.f64 (.f64 v v) #s(literal -6 binary64))>
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))>
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>

Outputs
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)>
#<alt (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(/ (/ 4/3 (PI)) (sqrt (+ 2 (* (* v v) -6))))
1.0ms	v	@	0	(/ (/ 4/3 (PI)) (sqrt (+ 2 (* (* v v) -6))))
1.0ms	v	@	-inf	(/ (/ 4/3 (PI)) (sqrt (+ 2 (* (* v v) -6))))
0.0ms	v	@	inf	(* (* v v) -6)
0.0ms	v	@	0	(* (* v v) -6)

rewrite136.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`log1p-expm1-u`
839×	`expm1-log1p-u`
705×	`log-prod`
221×	`expm1-undefine`
221×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	93
1	263	89
2	3594	89

Stop Event

1×	node limit

Counts

5 → 146

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(.f64 (.f64 v v) #s(literal -6 binary64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(sqrt.f64 #s(literal 1/2 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (PI.f64)))
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))

simplify153.0ms (3%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-neg`
431×	`exp-prod`
278×	`distribute-lft-in`
237×	`distribute-rgt-in`
171×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	5541
1	926	5149
2	3156	5107
3	6788	5107

Stop Event

1×	node limit

Counts

170 → 227

Calls

Call 1

Inputs
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))
(+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (PI.f64)))
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -6 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -6 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -6 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -6 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -6 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v #s(literal 2 binary64))) #s(literal -6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -6 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 v) (log.f64 #s(literal -6 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 #s(literal 4/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (PI.f64) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 16/9 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) #s(literal 1 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (PI.f64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 16/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
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(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))

eval77.0ms (1.5%)

Compiler: Compiled 4714 to 3899 computations (17.3% saved)

prune43.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	286	2	288
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	286	7	293

Accuracy

100.0%

Counts

293 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	98.5%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	98.5%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
▶	98.4%	(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
✓	96.9%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 100 to 81 computations (19% saved)

localize285.0ms (5.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
✓	accuracy	100.0%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -6 binary64))

Rules

18×	`*-commutative`
12×	`associate-*l/`
11×	`associate-/l*`
11×	`associate-r`
10×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	200
1	37	188
2	58	188
3	79	188
4	99	188
5	115	188
6	124	188
7	128	188
8	130	188
9	130	188

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal 4/3 binary64)
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(PI.f64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
#s(literal 4/3 binary64)
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
(*.f64 v v)
v
#s(literal -6 binary64)

Outputs
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
#s(literal 4/3 binary64)
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(PI.f64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
#s(literal 4/3 binary64)
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64)))))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 v v) #s(literal -6 binary64))
(.f64 v (.f64 v #s(literal -6 binary64)))
(*.f64 v v)
v
#s(literal -6 binary64)

Results

187.0ms

256×

valid

Compiler

Compiled 68 to 47 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-sqrt: 132.0ms (79.2% of total)

ival-mult: 16.0ms (9.6% of total)

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

ival-add: 4.0ms (2.4% of total)

const: 3.0ms (1.8% of total)

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

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

6 → 36

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))>
#<alt (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))>
#<alt (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))>

Outputs
#<alt (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)>
#<alt (.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/162 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -9/2 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -27/2 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 v (sqrt.f64 #s(literal -6 binary64)))>
#<alt (.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))))>
#<alt (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))))>
#<alt (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (sqrt.f64 #s(literal -6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 v (-.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3 binary64))))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 6 binary64)))>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(sqrt (+ 2 (* (* v v) -6)))
1.0ms	v	@	0	(sqrt (+ 2 (* (* v v) -6)))
0.0ms	v	@	inf	(/ (* (/ 1 (PI)) 4/3) (sqrt (+ 2 (* (* v v) -6))))
0.0ms	v	@	0	(/ (* (/ 1 (PI)) 4/3) (sqrt (+ 2 (* (* v v) -6))))
0.0ms	v	@	-inf	(/ (* (/ 1 (PI)) 4/3) (sqrt (+ 2 (* (* v v) -6))))

rewrite157.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`log1p-expm1-u`
907×	`expm1-log1p-u`
239×	`log1p-undefine`
211×	`prod-diff`
168×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	129
1	296	117
2	3958	117

Stop Event

1×	node limit

Counts

6 → 204

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 #s(literal 4/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -2 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64)) (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64) #s(literal 8 binary64))) (sqrt.f64 (fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))))
(pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64) #s(literal 8 binary64)) (fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (pow.f64 v #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64) #s(literal -4 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal -2 binary64)))
(pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (pow.f64 v #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) (.f64 (cbrt.f64 v) (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 v #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))) (cbrt.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64))) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64))) (cbrt.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 v (sqrt.f64 #s(literal -6 binary64))) (.f64 v (sqrt.f64 #s(literal -6 binary64))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 v) (.f64 (sqrt.f64 v) (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -6 binary64) (cbrt.f64 (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 v) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4/3 binary64)))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (cbrt.f64 (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/2 binary64))) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify210.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

899×	`fma-define`
237×	`*-commutative`
232×	`associate-r`
232×	`cube-prod`
220×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	575	8446
1	1290	7818
2	4239	7734

Stop Event

1×	node limit

Counts

240 → 334

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
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(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (cbrt.f64 (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/2 binary64))) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 9/4 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 27/2 binary64) (.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (+.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 27/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/16 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 #s(literal 45/8 binary64) (pow.f64 v #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 9/4 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (fma.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 45/8 binary64) (pow.f64 v #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (/.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))) (pow.f64 v #s(literal 4 binary64)) (/.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 v (PI.f64))))
(/.f64 (.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (PI.f64) v))
(.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (PI.f64) v)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v) (PI.f64)))
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))))) v)
(/.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/27 binary64) (.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 2 binary64)))))) v)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (.f64 #s(literal 1/1296 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))) v)
(/.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/1296 binary64) (pow.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (sqrt.f64 #s(literal -1/6 binary64)))) (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal -1/6 binary64))))) v)
(/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 #s(literal -1/27 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 2 binary64)))))) (/.f64 #s(literal -1/108 binary64) (.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) (pow.f64 v #s(literal 4 binary64)))))) v)
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(*.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 4/3 binary64) (cbrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (/.f64 #s(literal -4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 16/9 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 8/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (PI.f64))
(*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/2 binary64))) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 1/2 binary64))) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1 binary64))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))

eval143.0ms (2.8%)

Compiler: Compiled 7240 to 6082 computations (16% saved)

prune122.0ms (2.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	392	0	392
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	392	7	399

Accuracy

100.0%

Counts

399 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	98.5%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	98.5%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
✓	98.4%	(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
✓	96.9%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 194 to 146 computations (24.7% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))

Calls

4 calls:

4.0ms	v
1.0ms	(*.f64 v v)
1.0ms	(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))
1.0ms	(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))))`
100.0%	1	`(.f64 (.f64 (.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v)))))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes3.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))

Outputs
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))

Calls

2 calls:

2.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.5%	1	`v`
98.5%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))

(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))

Calls

2 calls:

2.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.5%	1	`v`
98.5%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))

Outputs
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Outputs
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`+-commutative`
3×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	197
1	45	197
2	52	197
3	56	197
4	58	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Outputs
(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

soundness506.0ms (10.1%)

Rules

1066×	`log1p-expm1-u`
930×	`fma-neg`
647×	`fma-define`
594×	`times-frac`
484×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	292
1	91	272
2	210	252
3	706	248
4	2204	248
5	5036	236
6	7676	236
0	432	5541
1	926	5149
2	3156	5107
3	6788	5107
0	25	144
1	352	138
2	4783	138

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 387 to 258 computations (33.3% saved)

preprocess59.0ms (1.2%)

Remove: (abs v)
Compiler: Compiled 346 to 256 computations (26% saved)

Falkner and Boettcher, Equation (22+)

analyze5.0ms (0.1%)

sample1.5s (29.5%)

preprocess120.0ms (2.4%)

explain279.0ms (5.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize453.0ms (9%)

series17.0ms (0.3%)

rewrite278.0ms (5.5%)

simplify125.0ms (2.5%)

eval188.0ms (3.7%)

prune50.0ms (1%)

localize103.0ms (2.1%)

series7.0ms (0.1%)

rewrite136.0ms (2.7%)

simplify153.0ms (3%)

eval77.0ms (1.5%)

prune43.0ms (0.9%)

localize285.0ms (5.7%)

series7.0ms (0.1%)

rewrite157.0ms (3.1%)

simplify210.0ms (4.2%)

eval143.0ms (2.8%)

prune122.0ms (2.4%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify6.0ms (0.1%)

soundness506.0ms (10.1%)

preprocess59.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	200
1	37	188
2	58	188
3	79	188
4	99	188
5	115	188
6	124	188
7	128	188
8	130	188
9	130	188

Iter	Nodes	Cost
0	22	200
1	37	188
2	58	188
3	79	188
4	99	188
5	115	188
6	124	188
7	128	188
8	130	188
9	130	188

Iter	Nodes	Cost
0	22	200
1	37	188
2	58	188
3	79	188
4	99	188
5	115	188
6	124	188
7	128	188
8	130	188
9	130	188