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 (38.1% 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)

sample1.2s (20.5%)

Results

970.0ms	8256×	0	valid
1.0ms	13×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 653.0ms

ival-mult: 318.0ms (48.7% of total)

ival-sub: 129.0ms (19.8% of total)

ival-sqrt: 80.0ms (12.3% of total)

ival-div: 64.0ms (9.8% of total)

ival-pi: 37.0ms (5.7% of total)

const: 24.0ms (3.7% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess132.0ms (2.2%)

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)

explain169.0ms (2.8%)

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

111.0ms

512×

valid

Compiler

Compiled 195 to 50 computations (74.4% saved)

Precisions

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

ival-mult: 19.0ms (49.6% of total)

ival-sub: 7.0ms (18.3% of total)

ival-div: 4.0ms (10.4% of total)

ival-sqrt: 4.0ms (10.4% of total)

ival-pi: 2.0ms (5.2% of total)

const: 2.0ms (5.2% of total)

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

eval1.0ms (0%)

Compiler: Compiled 89 to 38 computations (57.3% 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))))))
▶	98.5%	(/.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)))))))

Compiler

Compiled 79 to 59 computations (25.3% saved)

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓	cost-diff	-6272	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	cost-diff	0	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(PI.f64)
✓	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))
✓	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))

Rules

1052×	`unsub-neg`
579×	`distribute-lft-in`
435×	`distribute-rgt-in`
327×	`distribute-lft-neg-out`
326×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	41	1019
1	90	995
2	175	995
3	494	995
4	1335	983
5	2222	959
6	4010	959
7	7058	959

Stop Event

1×	node limit

Calls

Call 1

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

localize281.0ms (4.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	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))))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
✓	accuracy	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))
✓	accuracy	100.0%	(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	100.0%	(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	98.5%	(/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 6 binary64) (.f64 v v))))
✓	accuracy	100.0%	(.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	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	100.0%	(.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	100.0%	(.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))))))
✓	accuracy	99.8%	(.f64 #s(literal -6 binary64) (.f64 v v))
✓	accuracy	98.5%	(/.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)))))))

Results

207.0ms

256×

valid

Compiler

Compiled 301 to 36 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-div: 69.0ms (44.9% of total)

ival-mult: 63.0ms (41% of total)

ival-sqrt: 8.0ms (5.2% of total)

...c/correct-round.rkt:121:19: 4.0ms (2.6% of total)

ival-add: 3.0ms (2% of total)

ival-fma: 3.0ms (2% of total)

ival-sub: 3.0ms (2% of total)

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

const: 1.0ms (0.7% of total)

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

series55.0ms (0.9%)

Counts

19 → 192

Calls

Call 1

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

Calls

48 calls:

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

rewrite537.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`prod-diff`
230×	`associate-r`
207×	`log1p-expm1-u`
207×	`add-cube-cbrt`
207×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	575
1	677	557
2	7148	557

Stop Event

1×	node limit

Counts

19 → 569

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (PI.f64))
(PI.f64)
(*.f64 v v)
(.f64 #s(literal -6 binary64) (.f64 v v))
(.f64 #s(literal 6 binary64) (.f64 v v))
(.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))))
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(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 (+.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 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))))
(.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 (.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))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 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 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (PI.f64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (PI.f64))) #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 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 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))
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simplify482.0ms (8%)

Algorithm

1×	egg-herbie

Rules

782×	`associate-r`
649×	`associate-l`
386×	`fma-define`
376×	`times-frac`
234×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	900	43079
1	2248	41197

Stop Event

1×	node limit

Counts

761 → 520

Calls

Call 1

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

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

eval193.0ms (3.2%)

Compiler: Compiled 18412 to 2689 computations (85.4% saved)

prune82.0ms (1.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	687	5	692
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	687	9	696

Accuracy

100.0%

Counts

696 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (-.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 (/.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 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 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)))))
▶	98.6%	(/.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))))))
✓	98.5%	(/.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)))))))
▶	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	97.0%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 221 to 175 computations (20.8% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	cost-diff	6528	(.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	cost-diff	6592	(/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
	cost-diff	-128	(/.f64 #s(literal 4/3 binary64) (PI.f64))
	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(.f64 (.f64 v v) #s(literal -6 binary64))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	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)))
	cost-diff	0	(*.f64 v v)
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 3 binary64))
✓	cost-diff	128	(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) #s(literal 3 binary64)))

Rules

961×	`fma-define`
754×	`unsub-neg`
474×	`distribute-rgt-neg-out`
474×	`distribute-lft-neg-out`
392×	`associate-/r*`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	735
1	78	683
2	156	683
3	362	683
4	1130	683
5	2255	667
6	5367	667

Stop Event

1×	node limit

Calls

Call 1

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

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

localize264.0ms (4.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	accuracy	98.5%	(/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	accuracy	98.4%	(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
✓	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 #s(literal 4/3 binary64) (PI.f64))
	accuracy	100.0%	(PI.f64)
✓	accuracy	98.4%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	98.4%	(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
	accuracy	100.0%	(PI.f64)
✓	accuracy	98.4%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
	accuracy	100.0%	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))

Results

201.0ms

256×

valid

Compiler

Compiled 233 to 35 computations (85% saved)

Precisions

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

ival-div: 64.0ms (54.8% of total)

ival-mult: 28.0ms (24% of total)

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

...c/correct-round.rkt:121:19: 4.0ms (3.4% of total)

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

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

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

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

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

const: 1.0ms (0.9% of total)

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

series23.0ms (0.4%)

Counts

18 → 96

Calls

Call 1

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

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) (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 (PI.f64)>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (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))))>
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#<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 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)))))>
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#<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)>
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#<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))))))))>

Calls

24 calls:

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

rewrite172.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

264×	`log1p-expm1-u`
264×	`add-cube-cbrt`
264×	`expm1-log1p-u`
262×	`add-exp-log`
261×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	410
1	660	392

Stop Event

1×	node limit

Counts

18 → 432

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (PI.f64) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/3 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 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 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 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (PI.f64)))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 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 #s(literal 1/2 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 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) #s(literal 1 binary64)))
(-.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 #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))) (/.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)) (/.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) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(*.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 (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 (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 (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 (exp.f64 (log1p.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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) (cbrt.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 18 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 18 binary64)))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (neg.f64 (sqrt.f64 #s(literal 18 binary64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 18 binary64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(sqrt.f64 (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 18 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(exp.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 18 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 #s(literal 18 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 18 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 18 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 18 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 18 binary64))) #s(literal 2 binary64))
(sqrt.f64 #s(literal 18 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 18 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 18 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 18 binary64)) #s(literal 18 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 18 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 18 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 18 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 18 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 (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 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 (PI.f64))) #s(literal 1 binary64))
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(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 (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 (+.f64 #s(literal 8 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -216 binary64)))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 v #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 1/2 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 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))

simplify250.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

738×	`times-frac`
727×	`associate-l`
472×	`associate-*r/`
275×	`*-commutative`
264×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1133	22803
1	2706	21268

Stop Event

1×	node limit

Counts

528 → 671

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

eval125.0ms (2.1%)

Compiler: Compiled 22547 to 3049 computations (86.5% saved)

prune250.0ms (4.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1003	2	1005
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	1004	10	1014

Accuracy

100.0%

Counts

1014 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (-.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 (/.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))))
▶	98.6%	(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 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)))))
✓	98.6%	(/.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 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 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))))))
✓	98.5%	(/.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)))))))
✓	97.0%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 163 to 128 computations (21.5% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

22×	`associate-/r*`
12×	`*-commutative`
8×	`associate-/l/`
5×	`associate-r`
5×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	202
1	33	184
2	53	184
3	75	184
4	84	184
5	94	184
6	94	184

Stop Event

1×

saturated

Calls

Call 1

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

localize67.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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 #s(literal 4 binary64) (.f64 (PI.f64) #s(literal 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))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
	accuracy	100.0%	(PI.f64)
	accuracy	98.4%	(/.f64 #s(literal 4/3 binary64) (PI.f64))

Results

43.0ms

256×

valid

Compiler

Compiled 67 to 18 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 7.0ms (30.2% of total)

ival-mult: 5.0ms (21.6% of total)

...c/correct-round.rkt:121:19: 4.0ms (17.3% of total)

ival-sqrt: 4.0ms (17.3% of total)

ival-pi: 1.0ms (4.3% of total)

ival-add: 1.0ms (4.3% of total)

const: 1.0ms (4.3% of total)

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

series4.0ms (0.1%)

Counts

4 → 24

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (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)))>

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 #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

6 calls:

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

rewrite147.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

915×	`log1p-expm1-u`
915×	`expm1-log1p-u`
211×	`prod-diff`
164×	`fma-define`
130×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	294	78
2	4329	78

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

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

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

simplify120.0ms (2%)

Algorithm

1×	egg-herbie

Rules

828×	`times-frac`
573×	`associate-/r*`
403×	`fma-define`
193×	`*-commutative`
188×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	6665
1	1000	6189
2	2996	5499

Stop Event

1×	node limit

Counts

172 → 227

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)))))
(+.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))))
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(*.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))))))
(*.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)))))
(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 (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 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64)))) (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 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 #s(literal 1 binary64) (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 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 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 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 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 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 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 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 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 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 #s(literal 1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 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))

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

eval49.0ms (0.8%)

Compiler: Compiled 7300 to 1387 computations (81% saved)

prune111.0ms (1.8%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	411	0	411
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	411	10	421

Accuracy

100.0%

Counts

421 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (-.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 (/.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))))
✓	98.6%	(/.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) #s(literal 3 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	100.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 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)))))
✓	98.6%	(/.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 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 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))))))
✓	98.5%	(/.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)))))))
✓	97.0%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 325 to 183 computations (43.7% saved)

regimes14.0ms (0.2%)

Counts

11 → 1

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

Outputs

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

Calls

4 calls:

4.0ms	v
3.0ms	(*.f64 v v)
3.0ms	(.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)))))
3.0ms	(/.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)

regimes15.0ms (0.2%)

Counts

9 → 1

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

Calls

4 calls:

6.0ms	(*.f64 v v)
3.0ms	v
3.0ms	(.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)))))
3.0ms	(/.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)

regimes16.0ms (0.3%)

Counts

8 → 1

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

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:

3.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(.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)))))
2.0ms	(/.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)

regimes5.0ms (0.1%)

Counts

5 → 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`v`
98.6%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (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 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 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
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.6%	1	`v`
98.6%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

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) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	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:

1.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (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	39	329
1	54	329
2	61	329
3	65	329
4	67	329

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness924.0ms (15.2%)

Rules

782×	`associate-r`
649×	`associate-l`
647×	`fma-define`
618×	`prod-diff`
594×	`times-frac`

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
0	900	43079
1	2248	41197
0	40	575
1	677	557
2	7148	557

Stop Event

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

Compiler

Compiled 832 to 241 computations (71% saved)

preprocess135.0ms (2.2%)

Remove: (abs v)
Compiler: Compiled 468 to 278 computations (40.6% saved)

Falkner and Boettcher, Equation (22+)

analyze5.0ms (0.1%)

sample1.2s (20.5%)

preprocess132.0ms (2.2%)

explain169.0ms (2.8%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify95.0ms (1.6%)

localize281.0ms (4.6%)

series55.0ms (0.9%)

rewrite537.0ms (8.9%)

simplify482.0ms (8%)

eval193.0ms (3.2%)

prune82.0ms (1.3%)

simplify68.0ms (1.1%)

localize264.0ms (4.4%)

series23.0ms (0.4%)

rewrite172.0ms (2.8%)

simplify250.0ms (4.1%)

eval125.0ms (2.1%)

prune250.0ms (4.1%)

simplify12.0ms (0.2%)

localize67.0ms (1.1%)

series4.0ms (0.1%)

rewrite147.0ms (2.4%)

simplify120.0ms (2%)

eval49.0ms (0.8%)

prune111.0ms (1.8%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes16.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify8.0ms (0.1%)

soundness924.0ms (15.2%)

preprocess135.0ms (2.2%)

end0.0ms (0%)

Profiling