Metrics for Falkner and Boettcher, Equation (22+)

analyze3.0ms (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)

sample1.0s (31.4%)

Results

1.0s	8256×	body	256	valid
0.0ms	6×	body	256	invalid

Bogosity

preprocess321.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

2938×	`fma-def`
1462×	`distribute-lft-in`
1238×	`distribute-rgt-in`
1074×	`unsub-neg`
1054×	`fma-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	122
1	79	110
2	171	102
3	461	102
4	1242	102
5	2712	94
6	3637	94
7	5099	94
8	5496	94
9	5672	94
10	5708	94
11	6512	94
12	6700	94
13	6764	94
14	6828	94
15	6928	94
16	6928	94
17	6928	94
18	7926	94

Stop Event

1×	node limit

Calls

Call 1

Inputs

(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 (neg.f64 v) (neg.f64 v)))))))

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

Symmetry

(abs v)

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2686×	`fma-def`
1290×	`unsub-neg`
1130×	`fma-neg`
1126×	`distribute-lft-in`
864×	`distribute-rgt-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	45	55
2	112	51
3	330	51
4	986	51
5	1778	47
6	3759	47
7	6509	47

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

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

eval2.0ms (0.1%)

Compiler: Compiled 109 to 72 computations (33.9% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Accurracy

100.0%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	98.4%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	98.4%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Compiler

Compiled 80 to 60 computations (25% saved)

localize128.0ms (3.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 (.f64 v v) -6)
✓	98.4%	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
✓	99.7%	(.f64 6 (.f64 v v))
✓	98.4%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Compiler

Compiled 155 to 89 computations (42.6% saved)

series8.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
2.0ms	v	@	0	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
1.0ms	v	@	0	(.f64 6 (.f64 v v))
1.0ms	v	@	-inf	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
0.0ms	v	@	0	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))

rewrite104.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`expm1-udef`
838×	`prod-diff`
526×	`add-sqr-sqrt`
498×	`pow1`
498×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	114
1	542	108
2	6719	108

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

Inputs
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
(.f64 6 (.f64 v v))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (.f64 v v) -6)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))))) 1)
(.f64 4 (/.f64 (/.f64 1 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))))
(.f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6))))) 1)
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (+.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (+.f64 2 (.f64 v (.f64 v 6))))) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))))
(.f64 -4 (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (neg.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))
(.f64 (/.f64 (/.f64 1 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 4)
(pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) -1)
(sqrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (+.f64 2 (.f64 v (.f64 v 6)))))
(log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(-.f64 0 (.f64 v (.f64 v 6)))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)
(pow.f64 (.f64 v (.f64 v 6)) 1)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)
(pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(neg.f64 (.f64 v (.f64 v 6)))
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(log.f64 (pow.f64 (exp.f64 -6) (*.f64 v v)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -6) (*.f64 v v))))
(cbrt.f64 (*.f64 216 (pow.f64 v 6)))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))
(exp.f64 (log.f64 (.f64 v (.f64 v 6))))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v 6))) 1))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) 1)
(.f64 4 (/.f64 1 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(.f64 1 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(.f64 4/3 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 2) (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(.f64 -4/3 (/.f64 1 (.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 4/3)
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))
(pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 2)
(pow.f64 (.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3/4) -1)
(sqrt.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))
(log.f64 (exp.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(exp.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(exp.f64 (.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(-.f64 0 (.f64 v (.f64 v 6)))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)
(pow.f64 (.f64 v (.f64 v 6)) 1)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)
(pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(neg.f64 (.f64 v (.f64 v 6)))
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(log.f64 (pow.f64 (exp.f64 -6) (*.f64 v v)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -6) (*.f64 v v))))
(cbrt.f64 (*.f64 216 (pow.f64 v 6)))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))
(exp.f64 (log.f64 (.f64 v (.f64 v 6))))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v 6))) 1))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))

simplify82.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1624×	`fma-def`
1102×	`times-frac`
994×	`distribute-rgt-in`
972×	`distribute-lft-in`
742×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	5641
1	800	5427
2	2982	5371

Stop Event

1×	node limit

Counts

129 → 152

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
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(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(*.f64 6 (pow.f64 v 2))
(/.f64 4/3 (PI.f64))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (.f64 4/3 (/.f64 1 (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (.f64 4/3 (/.f64 1 (PI.f64))))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64))))))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64))))))))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))))) 1)
(.f64 4 (/.f64 (/.f64 1 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))))
(.f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6))))) 1)
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (+.f64 2 (.f64 v (*.f64 v 6))))))
(.f64 (cbrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (+.f64 2 (.f64 v (.f64 v 6))))) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))))
(.f64 -4 (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (neg.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))
(.f64 (/.f64 (/.f64 1 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 4)
(pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) -1)
(sqrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (+.f64 2 (.f64 v (.f64 v 6)))))
(log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(-.f64 0 (.f64 v (.f64 v 6)))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)
(pow.f64 (.f64 v (.f64 v 6)) 1)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)
(pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(neg.f64 (.f64 v (.f64 v 6)))
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(log.f64 (pow.f64 (exp.f64 -6) (*.f64 v v)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -6) (*.f64 v v))))
(cbrt.f64 (*.f64 216 (pow.f64 v 6)))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))
(exp.f64 (log.f64 (.f64 v (.f64 v 6))))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v 6))) 1))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) 1)
(.f64 4 (/.f64 1 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(.f64 1 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(.f64 4/3 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1)
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 2) (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(.f64 -4/3 (/.f64 1 (.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))))
(.f64 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 4/3)
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))
(pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 2)
(pow.f64 (.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3/4) -1)
(sqrt.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))
(log.f64 (exp.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(exp.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(exp.f64 (.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(-.f64 0 (.f64 v (.f64 v 6)))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)
(pow.f64 (.f64 v (.f64 v 6)) 1)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)
(pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(neg.f64 (.f64 v (.f64 v 6)))
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(log.f64 (pow.f64 (exp.f64 -6) (*.f64 v v)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -6) (*.f64 v v))))
(cbrt.f64 (*.f64 216 (pow.f64 v 6)))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))
(exp.f64 (log.f64 (.f64 v (.f64 v 6))))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v 6))) 1))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
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(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v 6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))))
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(.f64 -4 (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (neg.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (/.f64 1 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 4)
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 1)
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) 3)
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 3) 1/3)
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))) 2)
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) -1)
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(sqrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (+.f64 2 (.f64 v (.f64 v 6)))))
(sqrt.f64 (/.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)) (fma.f64 v (*.f64 v 6) 2)))
(sqrt.f64 (/.f64 (/.f64 16/9 (fma.f64 v (.f64 v 6) 2)) (pow.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))))))
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6))))) 3))
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (*.f64 v 6)))))) 1))
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))))))
(/.f64 4/3 (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v 6)))) (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v 6) 2)) (-.f64 1 (*.f64 v v))))
(-.f64 0 (.f64 v (.f64 v 6)))
(.f64 (.f64 v v) -6)
(.f64 v (.f64 v -6))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)
(.f64 v (.f64 v 6))
(pow.f64 (.f64 v (.f64 v 6)) 1)
(.f64 v (.f64 v 6))
(pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)
(.f64 v (.f64 v 6))
(pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 v 6) 216))
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(.f64 (.f64 v v) -6)
(.f64 v (.f64 v -6))
(neg.f64 (.f64 v (.f64 v 6)))
(.f64 (.f64 v v) -6)
(.f64 v (.f64 v -6))
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(sqrt.f64 (*.f64 (pow.f64 v 4) 36))
(log.f64 (pow.f64 (exp.f64 -6) (*.f64 v v)))
(.f64 (.f64 v v) -6)
(.f64 v (.f64 v -6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))
(.f64 v (.f64 v 6))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -6) (*.f64 v v))))
(.f64 v (.f64 v 6))
(cbrt.f64 (*.f64 216 (pow.f64 v 6)))
(cbrt.f64 (*.f64 (pow.f64 v 6) 216))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))
(.f64 v (.f64 v 6))
(exp.f64 (log.f64 (.f64 v (.f64 v 6))))
(.f64 v (.f64 v 6))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v 6))) 1))
(.f64 v (.f64 v 6))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))
(.f64 v (.f64 v 6))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) 1)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 4 (/.f64 1 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 1 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 4/3 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 2))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 2) (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 -4/3 (/.f64 1 (.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 1 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 4/3)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (.f64 v v))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(/.f64 (/.f64 4/3 (PI.f64)) (/.f64 (-.f64 1 (pow.f64 v 6)) (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))
(*.f64 (/.f64 (/.f64 4/3 (-.f64 1 (pow.f64 v 6))) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (+.f64 (.f64 v v) 1))
(/.f64 (/.f64 4/3 (PI.f64)) (/.f64 (-.f64 1 (pow.f64 v 4)) (fma.f64 v v 1)))
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))
(pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 1)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(pow.f64 (cbrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 3)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(pow.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3) 1/3)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(pow.f64 (sqrt.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 2)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(pow.f64 (.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3/4) -1)
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(sqrt.f64 (/.f64 16/9 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2)))
(log.f64 (exp.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(expm1.f64 (log1p.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(exp.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(exp.f64 (.f64 (log.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(log1p.f64 (expm1.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(-.f64 0 (.f64 v (.f64 v 6)))
(.f64 (.f64 v v) -6)
(.f64 v (.f64 v -6))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)
(.f64 v (.f64 v 6))
(pow.f64 (.f64 v (.f64 v 6)) 1)
(.f64 v (.f64 v 6))
(pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)
(.f64 v (.f64 v 6))
(pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 v 6) 216))
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(.f64 (.f64 v v) -6)
(.f64 v (.f64 v -6))
(neg.f64 (.f64 v (.f64 v 6)))
(.f64 (.f64 v v) -6)
(.f64 v (.f64 v -6))
(sqrt.f64 (*.f64 36 (pow.f64 v 4)))
(sqrt.f64 (*.f64 (pow.f64 v 4) 36))
(log.f64 (pow.f64 (exp.f64 -6) (*.f64 v v)))
(.f64 (.f64 v v) -6)
(.f64 v (.f64 v -6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))
(.f64 v (.f64 v 6))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -6) (*.f64 v v))))
(.f64 v (.f64 v 6))
(cbrt.f64 (*.f64 216 (pow.f64 v 6)))
(cbrt.f64 (*.f64 (pow.f64 v 6) 216))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))
(.f64 v (.f64 v 6))
(exp.f64 (log.f64 (.f64 v (.f64 v 6))))
(.f64 v (.f64 v 6))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v 6))) 1))
(.f64 v (.f64 v 6))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))
(.f64 v (.f64 v 6))

eval129.0ms (3.9%)

Compiler: Compiled 5137 to 3958 computations (23% saved)

prune25.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	150	4	154

Accurracy

100.0%

Counts

154 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	99.9%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	98.3%	(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
✓	98.4%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	99.9%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	98.3%	(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
✓	98.4%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Compiler

Compiled 120 to 96 computations (20% saved)

localize116.0ms (3.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(.f64 (.f64 v v) -6)
✓	98.4%	(/.f64 4/3 (PI.f64))
✓	98.4%	(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))

Compiler

Compiled 60 to 41 computations (31.7% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite117.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`log-prod`
840×	`exp-prod`
552×	`prod-exp`
524×	`pow-prod-down`
470×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	230	22
2	2786	22

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

Inputs
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(/.f64 4/3 (PI.f64))

Outputs
(+.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 4/3 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))))
(.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (sqrt.f64 (sqrt.f64 8/9)) (.f64 (sqrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 4/3 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(pow.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(pow.f64 (/.f64 (*.f64 32/27 (sqrt.f64 1/2)) (pow.f64 (PI.f64) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) 1) -1)
(pow.f64 (*.f64 (pow.f64 1/2 1/6) (cbrt.f64 (/.f64 4/3 (PI.f64)))) 3)
(pow.f64 (*.f64 (pow.f64 1/2 3/2) (pow.f64 (/.f64 4/3 (PI.f64)) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 4/3 (PI.f64)))) 2)
(pow.f64 (*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 1/2 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) (pow.f64 1/2 3/2)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 1/2 1/4)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -3))
(cbrt.f64 (/.f64 (*.f64 32/27 (sqrt.f64 1/2)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 8/9))) -1))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 1/2)) (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (/.f64 4/3 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 1/2) 1/2) (log.f64 (/.f64 4/3 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 1/2) 1/2) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (neg.f64 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 1/2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (log.f64 (sqrt.f64 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 1/2) 1/2)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 8/9)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (.f64 (PI.f64) 3/4))))
(exp.f64 (-.f64 (.f64 (log.f64 1/2) 1/2) (log.f64 (.f64 (PI.f64) 3/4))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 8/9)) (*.f64 (log.f64 (PI.f64)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (log.f64 (PI.f64))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 8/9)) 1) (.f64 (log.f64 (PI.f64)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 0 (/.f64 4/3 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (PI.f64)))) 1)
(*.f64 4/3 (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) 1)
(*.f64 1 (/.f64 4/3 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (/.f64 4/3 (PI.f64))))
(*.f64 -4/3 (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) 4/3)
(pow.f64 (/.f64 4/3 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 3)
(pow.f64 (*.f64 16/9 (pow.f64 (PI.f64) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 2)
(pow.f64 (*.f64 (PI.f64) 3/4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4/3 (PI.f64))))
(pow.f64 (/.f64 (*.f64 (PI.f64) 3/4) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4/3 (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 4/3 (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4/3 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4/3 (PI.f64)))))
(sqrt.f64 (*.f64 16/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 4/3 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (PI.f64))))
(exp.f64 (log.f64 (/.f64 4/3 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4/3 (PI.f64)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 4/3 (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 4/3 (PI.f64)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 3/4)) -1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (PI.f64))))

simplify105.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-def`
732×	`log-prod`
648×	`unswap-sqr`
498×	`associate-/l*`
492×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	288	2021
1	645	1947
2	1724	1947
3	6249	1947

Stop Event

1×	node limit

Counts

115 → 136

Calls

Call 1

Inputs
(+.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 4/3 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))))
(.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (sqrt.f64 (sqrt.f64 8/9)) (.f64 (sqrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 4/3 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(pow.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(pow.f64 (/.f64 (*.f64 32/27 (sqrt.f64 1/2)) (pow.f64 (PI.f64) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) 1) -1)
(pow.f64 (*.f64 (pow.f64 1/2 1/6) (cbrt.f64 (/.f64 4/3 (PI.f64)))) 3)
(pow.f64 (*.f64 (pow.f64 1/2 3/2) (pow.f64 (/.f64 4/3 (PI.f64)) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 4/3 (PI.f64)))) 2)
(pow.f64 (*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 1/2 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) (pow.f64 1/2 3/2)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 1/2 1/4)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -3))
(cbrt.f64 (/.f64 (*.f64 32/27 (sqrt.f64 1/2)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 8/9))) -1))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 1/2)) (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (/.f64 4/3 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 1/2) 1/2) (log.f64 (/.f64 4/3 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 1/2) 1/2) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (neg.f64 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 1/2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (log.f64 (sqrt.f64 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 1/2) 1/2)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 8/9)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (.f64 (PI.f64) 3/4))))
(exp.f64 (-.f64 (.f64 (log.f64 1/2) 1/2) (log.f64 (.f64 (PI.f64) 3/4))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 8/9)) (*.f64 (log.f64 (PI.f64)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (log.f64 (PI.f64))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 8/9)) 1) (.f64 (log.f64 (PI.f64)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 0 (/.f64 4/3 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (PI.f64)))) 1)
(*.f64 4/3 (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) 1)
(*.f64 1 (/.f64 4/3 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (/.f64 4/3 (PI.f64))))
(*.f64 -4/3 (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) 4/3)
(pow.f64 (/.f64 4/3 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 3)
(pow.f64 (*.f64 16/9 (pow.f64 (PI.f64) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 2)
(pow.f64 (*.f64 (PI.f64) 3/4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4/3 (PI.f64))))
(pow.f64 (/.f64 (*.f64 (PI.f64) 3/4) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4/3 (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 4/3 (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4/3 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4/3 (PI.f64)))))
(sqrt.f64 (*.f64 16/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 4/3 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (PI.f64))))
(exp.f64 (log.f64 (/.f64 4/3 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4/3 (PI.f64)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 4/3 (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 4/3 (PI.f64)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 3/4)) -1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (PI.f64))))

Outputs
(+.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (cbrt.f64 8/9) (.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (sqrt.f64 (sqrt.f64 8/9)) (.f64 (sqrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(/.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 8/9)))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 8/9)))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)) 1/2)
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -3) 1/3)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (*.f64 32/27 (sqrt.f64 1/2)) (pow.f64 (PI.f64) 3)) 1/3)
(cbrt.f64 (/.f64 32/27 (/.f64 (pow.f64 (PI.f64) 3) (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (/.f64 32/27 (pow.f64 (PI.f64) 3)) (sqrt.f64 1/2)))
(cbrt.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 (PI.f64) 3) 32/27)))
(pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) 1) -1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (*.f64 (pow.f64 1/2 1/6) (cbrt.f64 (/.f64 4/3 (PI.f64)))) 3)
(*.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (pow.f64 1/2 1/6) 3))
(*.f64 4/3 (/.f64 (pow.f64 (pow.f64 1/2 1/12) 6) (PI.f64)))
(pow.f64 (*.f64 (pow.f64 1/2 3/2) (pow.f64 (/.f64 4/3 (PI.f64)) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 1/2 3/2) (/.f64 64/27 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 (pow.f64 1/2 3/2) (pow.f64 (/.f64 4/3 (PI.f64)) 3)))
(cbrt.f64 (/.f64 64/27 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 1/2 3/2))))
(cbrt.f64 (/.f64 (pow.f64 1/2 3/2) (*.f64 (pow.f64 (PI.f64) 3) 27/64)))
(pow.f64 (*.f64 (pow.f64 1/2 1/4) (sqrt.f64 (/.f64 4/3 (PI.f64)))) 2)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 1/2 1/6)) 3)
(*.f64 (/.f64 4/3 (PI.f64)) (pow.f64 (pow.f64 1/2 1/6) 3))
(*.f64 4/3 (/.f64 (pow.f64 (pow.f64 1/2 1/12) 6) (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) (pow.f64 1/2 3/2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 1/2 3/2) (/.f64 64/27 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (*.f64 (pow.f64 1/2 3/2) (pow.f64 (/.f64 4/3 (PI.f64)) 3)))
(cbrt.f64 (/.f64 64/27 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 1/2 3/2))))
(cbrt.f64 (/.f64 (pow.f64 1/2 3/2) (*.f64 (pow.f64 (PI.f64) 3) 27/64)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 1/2 1/4)) 2)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -3))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(cbrt.f64 (/.f64 (*.f64 32/27 (sqrt.f64 1/2)) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (/.f64 32/27 (/.f64 (pow.f64 (PI.f64) 3) (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (/.f64 32/27 (pow.f64 (PI.f64) 3)) (sqrt.f64 1/2)))
(cbrt.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 (PI.f64) 3) 32/27)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1) 1))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -3)) 1/3))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 8/9))) -1))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 1/2)) (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (/.f64 4/3 (PI.f64)))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 1/2) 1/2) (log.f64 (/.f64 4/3 (PI.f64)))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (+.f64 (.f64 (log.f64 1/2) 1/2) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (neg.f64 (log.f64 (PI.f64)))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 1/2) 1/2)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (log.f64 (sqrt.f64 1/2))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 1/2) 1/2)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 8/9)) 1)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (.f64 (PI.f64) 3/4))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (-.f64 (.f64 (log.f64 1/2) 1/2) (log.f64 (.f64 (PI.f64) 3/4))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 8/9)) (*.f64 (log.f64 (PI.f64)) 1)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (log.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 8/9)) 1) (.f64 (log.f64 (PI.f64)) 1)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(+.f64 0 (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (PI.f64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))
(/.f64 4/3 (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (PI.f64)))) 1)
(/.f64 4/3 (PI.f64))
(*.f64 4/3 (/.f64 1 (PI.f64)))
(/.f64 4/3 (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) 1)
(/.f64 4/3 (PI.f64))
(*.f64 1 (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (PI.f64))
(*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2))
(/.f64 4/3 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 2) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(*.f64 -4/3 (/.f64 1 (neg.f64 (PI.f64))))
(/.f64 4/3 (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) 4/3)
(/.f64 4/3 (PI.f64))
(pow.f64 (/.f64 4/3 (PI.f64)) 1)
(/.f64 4/3 (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 3)
(/.f64 4/3 (PI.f64))
(pow.f64 (*.f64 16/9 (pow.f64 (PI.f64) -2)) 1/2)
(/.f64 4/3 (PI.f64))
(pow.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) 1/3)
(/.f64 4/3 (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 2)
(/.f64 4/3 (PI.f64))
(pow.f64 (*.f64 (PI.f64) 3/4) -1)
(/.f64 4/3 (PI.f64))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(pow.f64 (/.f64 (*.f64 (PI.f64) 3/4) 1) -1)
(/.f64 4/3 (PI.f64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4/3 (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 4/3 (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4/3 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 4/3 (PI.f64)))))
(sqrt.f64 (*.f64 16/9 (pow.f64 (PI.f64) -2)))
(/.f64 4/3 (PI.f64))
(log.f64 (exp.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (PI.f64)))))
(/.f64 4/3 (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3))
(/.f64 4/3 (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(exp.f64 (log.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1))
(/.f64 4/3 (PI.f64))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) 1))
(/.f64 4/3 (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4/3 (PI.f64)))) 3))
(/.f64 4/3 (PI.f64))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 4/3 (PI.f64)))) 1/3))
(/.f64 4/3 (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 4/3 (PI.f64)))) 2))
(/.f64 4/3 (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 3/4)) -1))
(/.f64 4/3 (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 4/3 (PI.f64))))
(/.f64 4/3 (PI.f64))

eval38.0ms (1.1%)

Compiler: Compiled 1583 to 1278 computations (19.3% saved)

prune19.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	138	5	143

Accurracy

100.0%

Counts

143 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	99.9%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	98.3%	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	98.4%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	99.8%	(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
✓	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	99.9%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	98.3%	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	98.4%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	99.8%	(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))

Compiler

Compiled 130 to 106 computations (18.5% saved)

localize69.0ms (2.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(/.f64 (sqrt.f64 8/9) (PI.f64))
	98.4%	(/.f64 4/3 (PI.f64))
✓	98.4%	(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))

Compiler

Compiled 24 to 20 computations (16.7% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite90.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`log-prod`
676×	`prod-exp`
614×	`pow-prod-down`
524×	`pow-prod-up`
498×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	270	32
2	3092	32

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(/.f64 (sqrt.f64 8/9) (PI.f64))

Outputs
(+.f64 0 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 1)
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 3/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4/3 (sqrt.f64 1/2))))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(/.f64 (neg.f64 (*.f64 4/3 (sqrt.f64 1/2))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1/2) -4/3) (neg.f64 (PI.f64)))
(/.f64 (*.f64 -4/3 (sqrt.f64 1/2)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 3)
(pow.f64 (.f64 1/2 (pow.f64 (.f64 (PI.f64) 3/4) -2)) 1/2)
(pow.f64 (pow.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 4/3 (sqrt.f64 1/2))) -1)
(sqrt.f64 (.f64 1/2 (pow.f64 (.f64 (PI.f64) 3/4) -2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 1/2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (log.f64 (sqrt.f64 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 1/2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 1/2)) (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (/.f64 4/3 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 1/2) 1/2) (log.f64 (/.f64 4/3 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 1/2) 1/2) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(.f64 (cbrt.f64 8/9) (.f64 (pow.f64 8/9 1/6) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (pow.f64 8/9 1/4) (.f64 (pow.f64 8/9 1/4) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (pow.f64 8/9 1/6) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 8/9 1/6) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 8/9 1/4) 1) (/.f64 (pow.f64 8/9 1/4) (PI.f64)))
(*.f64 (/.f64 (pow.f64 8/9 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 8/9 1/4) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(pow.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(pow.f64 (/.f64 (pow.f64 8/9 3/2) (pow.f64 (PI.f64) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 8/9 3/2) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 8/9))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (neg.f64 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 8/9) 1/2) (neg.f64 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 8/9)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 8/9) 1/2)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))

simplify82.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1356×	`log-prod`
874×	`associate-*r/`
838×	`fma-def`
698×	`associate-*l/`
692×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	238	1750
1	532	1666
2	1612	1666
3	7681	1666

Stop Event

1×	node limit

Counts

90 → 105

Calls

Call 1

Inputs
(+.f64 0 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 1)
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 3/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4/3 (sqrt.f64 1/2))))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(/.f64 (neg.f64 (*.f64 4/3 (sqrt.f64 1/2))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1/2) -4/3) (neg.f64 (PI.f64)))
(/.f64 (*.f64 -4/3 (sqrt.f64 1/2)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 3)
(pow.f64 (.f64 1/2 (pow.f64 (.f64 (PI.f64) 3/4) -2)) 1/2)
(pow.f64 (pow.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 4/3 (sqrt.f64 1/2))) -1)
(sqrt.f64 (.f64 1/2 (pow.f64 (.f64 (PI.f64) 3/4) -2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 1/2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (log.f64 (sqrt.f64 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 1/2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 1/2)) (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (/.f64 4/3 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 1/2) 1/2) (log.f64 (/.f64 4/3 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 1/2) 1/2) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(.f64 (cbrt.f64 8/9) (.f64 (pow.f64 8/9 1/6) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (pow.f64 8/9 1/4) (.f64 (pow.f64 8/9 1/4) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (pow.f64 8/9 1/6) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 8/9 1/6) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 8/9 1/4) 1) (/.f64 (pow.f64 8/9 1/4) (PI.f64)))
(*.f64 (/.f64 (pow.f64 8/9 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 8/9 1/4) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(pow.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(pow.f64 (/.f64 (pow.f64 8/9 3/2) (pow.f64 (PI.f64) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 8/9 3/2) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 8/9))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (neg.f64 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 8/9) 1/2) (neg.f64 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 8/9)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 8/9) 1/2)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))

Outputs
(+.f64 0 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 1)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 3/4))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4/3 (sqrt.f64 1/2))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (neg.f64 (*.f64 4/3 (sqrt.f64 1/2))) (neg.f64 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (*.f64 (sqrt.f64 1/2) -4/3) (neg.f64 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (*.f64 -4/3 (sqrt.f64 1/2)) (neg.f64 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) 1) (PI.f64))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(pow.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(pow.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(pow.f64 (.f64 1/2 (pow.f64 (.f64 (PI.f64) 3/4) -2)) 1/2)
(sqrt.f64 (.f64 1/2 (pow.f64 (.f64 (PI.f64) 3/4) -2)))
(sqrt.f64 (*.f64 1/2 (pow.f64 (/.f64 4/3 (PI.f64)) 2)))
(pow.f64 (pow.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3) 1/3)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 2)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(pow.f64 (/.f64 (PI.f64) (*.f64 4/3 (sqrt.f64 1/2))) -1)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(sqrt.f64 (.f64 1/2 (pow.f64 (.f64 (PI.f64) 3/4) -2)))
(sqrt.f64 (*.f64 1/2 (pow.f64 (/.f64 4/3 (PI.f64)) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 4/3 (PI.f64))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(cbrt.f64 (pow.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (log.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 1))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) 1) 1))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 3))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 1/3))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) 2))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (+.f64 (log.f64 (/.f64 4/3 (PI.f64))) (*.f64 (log.f64 1/2) 1/2)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (log.f64 (sqrt.f64 1/2))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1) (.f64 (log.f64 1/2) 1/2)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 1/2)) (*.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (/.f64 4/3 (PI.f64)))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 1/2) 1/2) (log.f64 (/.f64 4/3 (PI.f64)))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 1/2) 1/2) (.f64 (log.f64 (/.f64 4/3 (PI.f64))) 1)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(+.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (cbrt.f64 8/9) (.f64 (pow.f64 8/9 1/6) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (pow.f64 8/9 1/6)))
(*.f64 (cbrt.f64 8/9) (/.f64 (pow.f64 8/9 1/6) (PI.f64)))
(/.f64 (cbrt.f64 8/9) (/.f64 (PI.f64) (pow.f64 8/9 1/6)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (pow.f64 8/9 1/4) (.f64 (pow.f64 8/9 1/4) (/.f64 1 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(/.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 8/9)))
(*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (sqrt.f64 (PI.f64))) (sqrt.f64 8/9))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (pow.f64 8/9 1/6) (PI.f64)))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (pow.f64 8/9 1/6)))
(*.f64 (cbrt.f64 8/9) (/.f64 (pow.f64 8/9 1/6) (PI.f64)))
(/.f64 (cbrt.f64 8/9) (/.f64 (PI.f64) (pow.f64 8/9 1/6)))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 8/9 1/6) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (pow.f64 8/9 1/6)))
(*.f64 (cbrt.f64 8/9) (/.f64 (pow.f64 8/9 1/6) (PI.f64)))
(/.f64 (cbrt.f64 8/9) (/.f64 (PI.f64) (pow.f64 8/9 1/6)))
(*.f64 (/.f64 (pow.f64 8/9 1/4) 1) (/.f64 (pow.f64 8/9 1/4) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (pow.f64 8/9 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 8/9 1/4) (cbrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)) 1/2)
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (pow.f64 8/9 3/2) (pow.f64 (PI.f64) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 8/9 3/2) (pow.f64 (PI.f64) 3)))
(pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) 1) -1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 8/9 3/2) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1) 1))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1/3))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 8/9))) -1))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (neg.f64 (log.f64 (PI.f64)))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (+.f64 (*.f64 (log.f64 8/9) 1/2) (neg.f64 (log.f64 (PI.f64)))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 8/9)) 1)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 8/9) 1/2)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))

eval36.0ms (1.1%)

Compiler: Compiled 1366 to 1176 computations (13.9% saved)

prune55.0ms (1.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	142	5	147

Accurracy

100.0%

Counts

147 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	99.9%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	98.3%	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	98.4%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	99.8%	(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))

Compiler

Compiled 132 to 101 computations (23.5% saved)

regimes16.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

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

Calls

4 calls:

5.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
4.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))

Results

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

Compiler

Compiled 113 to 81 computations (28.3% saved)

regimes7.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))

Outputs
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))

Calls

2 calls:

4.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.9%	1	`v`
99.9%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))

Outputs
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`v`

Compiler

Compiled 19 to 16 computations (15.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))

Outputs
(/.f64 (sqrt.f64 8/9) (PI.f64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`v`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
8×	`+-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	124
1	37	124
2	44	124
3	48	124
4	50	124

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(/.f64 (sqrt.f64 8/9) (PI.f64))

Outputs
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(/.f64 (sqrt.f64 8/9) (PI.f64))

Compiler

Compiled 44 to 37 computations (15.9% saved)

soundness603.0ms (18.2%)

Rules

2686×	`fma-def`
1624×	`fma-def`
1290×	`unsub-neg`
1130×	`fma-neg`
1126×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	45	55
2	112	51
3	330	51
4	986	51
5	1778	47
6	3759	47
7	6509	47
0	286	5641
1	800	5427
2	2982	5371
0	11	28
1	230	22
2	2786	22
0	288	2021
1	645	1947
2	1724	1947
3	6249	1947
0	11	28
1	230	22
2	2786	22

Stop Event

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

Compiler

Compiled 340 to 264 computations (22.4% saved)

end0.0ms (0%)

preprocess51.0ms (1.5%)

Remove: (abs v)
Compiler: Compiled 162 to 120 computations (25.9% saved)

analyze3.0ms (0.1%)

sample1.0s (31.4%)

preprocess321.0ms (9.6%)

simplify58.0ms (1.7%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize128.0ms (3.8%)

series8.0ms (0.2%)

rewrite104.0ms (3.1%)

simplify82.0ms (2.5%)

eval129.0ms (3.9%)

prune25.0ms (0.7%)

localize116.0ms (3.5%)

series0.0ms (0%)

rewrite117.0ms (3.5%)

simplify105.0ms (3.2%)

eval38.0ms (1.1%)

prune19.0ms (0.6%)

localize69.0ms (2.1%)

series0.0ms (0%)

rewrite90.0ms (2.7%)

simplify82.0ms (2.5%)

eval36.0ms (1.1%)

prune55.0ms (1.7%)

regimes16.0ms (0.5%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify7.0ms (0.2%)

soundness603.0ms (18.2%)

end0.0ms (0%)

preprocess51.0ms (1.5%)

Profiling