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% 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)

sample1.8s (32.4%)

Results

1.5s	8256×	0	valid
1.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 427.0ms (34% of total)

ival-sqrt: 369.0ms (29.4% of total)

ival-sub: 243.0ms (19.4% of total)

ival-pi: 132.0ms (10.5% of total)

ival-div: 56.0ms (4.5% of total)

const: 25.0ms (2% of total)

backward-pass: 2.0ms (0.2% of total)

Bogosity

preprocess127.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-define`
594×	`times-frac`
473×	`fmm-def`
425×	`distribute-lft-in`
393×	`unsub-neg`

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	5020	236
6	7659	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)

explain133.0ms (2.4%)

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

72.0ms

512×

valid

Compiler

Compiled 195 to 50 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 21.0ms (56% of total)

ival-sub: 5.0ms (13.3% of total)

ival-div: 4.0ms (10.7% of total)

ival-sqrt: 4.0ms (10.7% of total)

ival-pi: 2.0ms (5.3% of total)

const: 2.0ms (5.3% 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 #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 #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)))))))

Status

Accuracy

Program

▶

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 #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 40 to 30 computations (25% saved)

simplify89.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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))

Rules

626×	`unsub-neg`
562×	`distribute-lft-in`
428×	`distribute-rgt-in`
320×	`distribute-rgt-neg-out`
320×	`distribute-lft-neg-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	568
1	60	524
2	130	524
3	374	524
4	1170	520
5	1980	508
6	3551	508
7	6569	508

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 (/.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)

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

localize585.0ms (10.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
✓	accuracy	100.0%	(.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	99.7%	(.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 #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	99.7%	(.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

551.0ms

256×

valid

Compiler

Compiled 160 to 24 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 448.0ms

ival-div: 420.0ms (93.8% of total)

ival-mult: 12.0ms (2.7% of total)

ival-sqrt: 4.0ms (0.9% of total)

...c/correct-round.rkt:121:19: 4.0ms (0.9% of total)

ival-add: 3.0ms (0.7% of total)

ival-sub: 2.0ms (0.4% of total)

ival-pi: 1.0ms (0.2% of total)

const: 1.0ms (0.2% of total)

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

series22.0ms (0.4%)

Counts

11 → 108

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

27 calls:

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

rewrite294.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`log1p-expm1-u`
703×	`expm1-log1p-u`
368×	`prod-diff`
161×	`associate-r`
145×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	288
1	400	266
2	4557	266

Stop Event

1×	node limit

Counts

11 → 207

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 (.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 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))))))
(sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))
(.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))))

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

simplify197.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

429×	`associate-r`
378×	`associate-l`
289×	`fma-define`
286×	`associate-/r*`
241×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	607	13000
1	1501	12291
2	6284	12261

Stop Event

1×	node limit

Counts

315 → 337

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

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

eval54.0ms (1%)

Compiler: Compiled 11175 to 1812 computations (83.8% saved)

prune46.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	393	4	397
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	393	6	399

Accuracy

100.0%

Counts

399 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))))
▶	99.1%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	100.0%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #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)))))))
▶	99.0%	(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	97.5%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 90 to 73 computations (18.9% saved)

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	-6336	(*.f64 v v)
✓	cost-diff	-6336	(.f64 (.f64 v v) #s(literal -6 binary64))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 4/3 binary64) (PI.f64))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
✓	cost-diff	64	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
✓	cost-diff	192	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 4/3 binary64))
✓	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)))

Rules

430×	`associate-*r/`
424×	`distribute-lft-neg-out`
401×	`fma-define`
395×	`distribute-lft-in`
370×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	494
1	63	458
2	117	452
3	196	452
4	385	452
5	906	449
6	2149	449
7	6503	449

Stop Event

1×	node limit

Calls

Call 1

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

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

localize241.0ms (4.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	accuracy	98.4%	(/.f64 #s(literal 4/3 binary64) (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 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) #s(literal 4/3 binary64))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
	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))

Results

176.0ms

256×

valid

Compiler

Compiled 164 to 29 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 47.0ms (61.1% of total)

ival-div: 11.0ms (14.3% of total)

ival-sqrt: 7.0ms (9.1% of total)

...c/correct-round.rkt:121:19: 4.0ms (5.2% of total)

ival-pow: 3.0ms (3.9% of total)

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

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

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

const: 1.0ms (1.3% of total)

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

series9.0ms (0.2%)

Counts

13 → 60

Calls

Call 1

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

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

Calls

15 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	(/ (/ 1 (PI)) (- 1 (pow v 2)))
1.0ms	v	@	-inf	(/ (/ 4/3 (PI)) (sqrt (+ 2 (* (* v v) -6))))
0.0ms	v	@	0	(/ (/ 1 (PI)) (- 1 (pow v 2)))

rewrite247.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`log1p-expm1-u`
397×	`prod-diff`
207×	`add-cube-cbrt`
207×	`expm1-log1p-u`
204×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	258
1	481	226
2	6557	226

Stop Event

1×	node limit

Counts

13 → 321

Calls

Call 1

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

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

simplify229.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

547×	`exp-prod`
441×	`associate-r`
369×	`associate-l`
326×	`times-frac`
312×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	833	11662
1	1876	11140
2	7329	11133

Stop Event

1×	node limit

Counts

381 → 489

Calls

Call 1

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

Outputs
(/.f64 #s(literal 4/3 binary64) (PI.f64))
(+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))
(+.f64 (.f64 (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 -4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (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 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (neg.f64 (pow.f64 v #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (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 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 2 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(+.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 v (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(+.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 v (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.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 1 binary64) (PI.f64)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.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)) (+.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.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 v (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (PI.f64)))
(/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (pow.f64 v #s(literal 2 binary64)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (/.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)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))) (cbrt.f64 (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 #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))) #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 #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 #s(literal 4/3 binary64) (cbrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.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)))) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (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 (/.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 (cbrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (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))
(/.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 (pow.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (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))
(/.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 (sqrt.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (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))
(/.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 (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))
(/.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))))
(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))))))
(/.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))))
(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)))))
(/.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))))
(sqrt.f64 (*.f64 #s(literal 16/9 binary64) (/.f64 (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 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(/.f64 (/.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 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64))))))))
(/.f64 (/.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 #s(literal 4/3 binary64) (*.f64 (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)))
(/.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 (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))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 64/27 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (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)) (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 (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)) (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 (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)) (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 (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 (/.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))))

eval103.0ms (1.9%)

Compiler: Compiled 12850 to 2064 computations (83.9% saved)

prune73.0ms (1.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	662	3	665
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	664	7	671

Accuracy

100.0%

Counts

671 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))))
✓	99.1%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
▶	99.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.7%	(/.f64 (.f64 (fma.f64 v (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
▶	99.1%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #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)))))))
✓	97.5%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 102 to 83 computations (18.6% saved)

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	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)))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 v (PI.f64))
✓	cost-diff	128	(fma.f64 v (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
✓	cost-diff	128	(*.f64 (fma.f64 v (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4/3 binary64))
	cost-diff	0	(.f64 (.f64 v v) #s(literal -6 binary64))
	cost-diff	0	(PI.f64)
	cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64))

Rules

151×	`fma-define`
134×	`associate-r`
118×	`associate-l`
50×	`associate-*r/`
49×	`associate-/l*`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	26	453
1	46	429
2	76	429
3	113	429
4	187	421
5	296	413
6	444	405
7	685	405
8	807	405
9	810	405

Stop Event

1×

saturated

Calls

Call 1

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

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

localize145.0ms (2.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	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))
✓	accuracy	100.0%	(*.f64 (fma.f64 v (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4/3 binary64))
✓	accuracy	100.0%	(fma.f64 v (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
	accuracy	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))
✓	accuracy	99.6%	(/.f64 v (PI.f64))
	accuracy	100.0%	(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 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
	accuracy	99.7%	(.f64 (.f64 v v) #s(literal -6 binary64))

Results

114.0ms

256×

valid

Compiler

Compiled 142 to 22 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 10.0ms (31.5% of total)

ival-mult: 9.0ms (28.3% of total)

...c/correct-round.rkt:121:19: 5.0ms (15.7% of total)

ival-sqrt: 4.0ms (12.6% of total)

ival-add: 3.0ms (9.4% of total)

ival-pi: 1.0ms (3.1% of total)

const: 1.0ms (3.1% of total)

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

series7.0ms (0.1%)

Counts

7 → 36

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(+ (* v (/ v (PI))) (/ 1 (PI)))
1.0ms	v	@	0	(* (+ (* v (/ v (PI))) (/ 1 (PI))) 4/3)
1.0ms	v	@	inf	(* (+ (* v (/ v (PI))) (/ 1 (PI))) 4/3)
0.0ms	v	@	inf	(/ v (PI))
0.0ms	v	@	-inf	(/ v (PI))

rewrite168.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1079×	`log1p-expm1-u`
459×	`expm1-log1p-u`
394×	`prod-diff`
146×	`add-exp-log`
146×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	153
1	366	149
2	4689	149

Stop Event

1×	node limit

Counts

7 → 212

Calls

Call 1

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

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

simplify144.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

603×	`fma-define`
342×	`cube-prod`
300×	`exp-prod`
275×	`cancel-sign-sub-inv`
260×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	547	7803
1	1240	7309
2	4405	7278

Stop Event

1×	node limit

Counts

248 → 307

Calls

Call 1

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

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

eval75.0ms (1.3%)

Compiler: Compiled 12265 to 1868 computations (84.8% saved)

prune74.0ms (1.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	612	0	612
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	612	7	619

Accuracy

100.0%

Counts

619 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))))
✓	99.1%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
✓	99.0%	(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
✓	99.7%	(/.f64 (.f64 (fma.f64 v (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	99.1%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
✓	98.5%	(/.f64 #s(literal 4 binary64) (.f64 (.f64 #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)))))))
✓	97.5%	(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))

Compiler

Compiled 246 to 136 computations (44.7% saved)

regimes13.0ms (0.2%)

Counts

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

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

Calls

4 calls:

4.0ms	(*.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)

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`v`
99.1%	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
99.1%	1	`v`
99.1%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

(/.f64 (/.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:

4.0ms

Results

Accuracy	Segments	Branch
99.0%	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
97.5%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

soundness488.0ms (8.8%)

Rules

975×	`log1p-expm1-u`
703×	`expm1-log1p-u`
647×	`fma-define`
594×	`times-frac`
473×	`fmm-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	288
1	400	266
2	4557	266
0	31	292
1	91	272
2	210	252
3	706	248
4	2204	248
5	5020	236
6	7659	236

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 548 to 166 computations (69.7% saved)

preprocess39.0ms (0.7%)

Remove: (abs v)
Compiler: Compiled 384 to 250 computations (34.9% saved)

Falkner and Boettcher, Equation (22+)

analyze5.0ms (0.1%)

sample1.8s (32.4%)

preprocess127.0ms (2.3%)

explain133.0ms (2.4%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify89.0ms (1.6%)

localize585.0ms (10.6%)

series22.0ms (0.4%)

rewrite294.0ms (5.3%)

simplify197.0ms (3.6%)

eval54.0ms (1%)

prune46.0ms (0.8%)

simplify77.0ms (1.4%)

localize241.0ms (4.4%)

series9.0ms (0.2%)

rewrite247.0ms (4.5%)

simplify229.0ms (4.1%)

eval103.0ms (1.9%)

prune73.0ms (1.3%)

simplify38.0ms (0.7%)

localize145.0ms (2.6%)

series7.0ms (0.1%)

rewrite168.0ms (3%)

simplify144.0ms (2.6%)

eval75.0ms (1.3%)

prune74.0ms (1.3%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

simplify4.0ms (0.1%)

soundness488.0ms (8.8%)

preprocess39.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	453
1	46	429
2	76	429
3	113	429
4	187	421
5	296	413
6	444	405
7	685	405
8	807	405
9	810	405

Iter	Nodes	Cost
0	26	453
1	46	429
2	76	429
3	113	429
4	187	421
5	296	413
6	444	405
7	685	405
8	807	405
9	810	405

Iter	Nodes	Cost
0	26	453
1	46	429
2	76	429
3	113	429
4	187	421
5	296	413
6	444	405
7	685	405
8	807	405
9	810	405