Details

analyze9.0ms (0.2%)

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)

sample1.8s (31.6%)

Results

1.8s	8256×	body	256	valid
4.0ms	10×	body	256	invalid

Bogosity

preprocess80.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1332×	`fma-def_binary64`
576×	`fma-neg_binary64`
530×	`distribute-rgt-in_binary64`
496×	`unsub-neg_binary64`
430×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	109	26
3	321	26
4	967	26
5	1747	24
6	3707	24
7	6458	24
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1332×	`fma-def_binary64`
576×	`fma-neg_binary64`
530×	`distribute-rgt-in_binary64`
496×	`unsub-neg_binary64`
430×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	109	26
3	321	26
4	967	26
5	1747	24
6	3707	24
7	6458	24

Stop Event

1×	node limit

Counts

1 → 2

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

eval2.0ms (0%)

Compiler: Compiled 37 to 27 computations (27% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	0.0b	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))

Status

Error

Program

▶

1.0b

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

▶

0.0b

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

Compiler

Compiled 38 to 29 computations (23.7% saved)

localize52.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
✓	0.0b	(fma.f64 v (*.f64 v -6) 2)
✓	0.0b	(.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))
✓	0.0b	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))

Compiler

Compiled 66 to 45 computations (31.8% saved)

series26.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	v	@	-inf	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
4.0ms	v	@	0	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
4.0ms	v	@	inf	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))
2.0ms	v	@	0	(.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))
2.0ms	v	@	inf	(.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))

rewrite108.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`log-prod_binary64`
405×	`pow-prod-down_binary64`
348×	`pow2_binary64`
246×	`pow1/3_binary64`
243×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	288	63
2	3355	63

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4/3 (/.f64 1 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))) (cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2)) (cbrt.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))) (sqrt.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/3 (/.f64 1 (.f64 (PI.f64) (neg.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) -3/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 -4/3 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (.f64 -1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 v v)) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 (PI.f64) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 v v) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 -1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))))
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simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

576×	`associate-/r*_binary64`
558×	`associate-l_binary64`
539×	`associate-r_binary64`
440×	`times-frac_binary64`
390×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2055
1	699	1944
2	2602	1809

Stop Event

1×	node limit

Counts

157 → 184

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 6) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.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 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.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 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.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))))) (.f64 1/36 (/.f64 1 (.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 (.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 (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)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.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))))) (.f64 1/36 (/.f64 1 (.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 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.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 (/.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))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.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 (.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 (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)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (/.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))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.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 -1 (.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 (pow.f64 v 2) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))
(+.f64 (.f64 (+.f64 (.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))))
(.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) (PI.f64)))
(+.f64 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))))
2
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(*.f64 -6 (pow.f64 v 2))
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(+.f64 (*.f64 -6 (pow.f64 v 2)) 2)
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 -6) v)
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -4/3 (.f64 v (.f64 v (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (*.f64 (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))) -4/3)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.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 (sqrt.f64 1/2) (PI.f64))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (.f64 v (.f64 v (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -4/3 (.f64 (pow.f64 v 4) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.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 (sqrt.f64 1/2) (PI.f64)))))))))
(fma.f64 -4/3 (.f64 v (.f64 v (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 4) (.f64 (-.f64 (fma.f64 (/.f64 -1/2 (sqrt.f64 1/2)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) (PI.f64))) -4/3))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 6) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.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 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
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(neg.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 (/.f64 -1 v) (sqrt.f64 -6)) (*.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 -1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))) (/.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (pow.f64 v 5)))
(-.f64 (-.f64 (/.f64 -1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6))))) (/.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (pow.f64 v 5)))

localize51.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))
✓	0.0b	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
✓	0.2b	(.f64 6 (.f64 v v))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Compiler

Compiled 86 to 52 computations (39.5% saved)

series17.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	v	@	0	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
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 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
2.0ms	v	@	inf	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.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))))))

rewrite115.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`log-prod_binary64`
329×	`prod-diff_binary64`
303×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
251×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	375	75
2	4681	69

Stop Event

1×	node limit

Counts

4 → 88

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 2)) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (neg.f64 (.f64 3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (/.f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 v (.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (.f64 v v))) (cbrt.f64 (pow.f64 (exp.f64 6) (.f64 v v))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 v) (log.f64 6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (fma.f64 (.f64 v v) -6 2) (pow.f64 (.f64 3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 3) (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2) (pow.f64 (.f64 3 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (.f64 (.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (cbrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 1/4) (pow.f64 (fma.f64 (.f64 v v) -6 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (.f64 36 (pow.f64 v 4)))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 8 (.f64 216 (pow.f64 v 6)))) (sqrt.f64 (+.f64 4 (fma.f64 36 (pow.f64 v 4) (.f64 12 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 v v) -6 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 v v) -6 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1))))))

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

513×	`associate-+l+_binary64`
464×	`associate-+r+_binary64`
445×	`associate-/r*_binary64`
404×	`associate-*l/_binary64`
383×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2088
1	677	1998
2	2584	1890

Stop Event

1×	node limit

Counts

136 → 160

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)))))))
(+.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 (.f64 4/3 (.f64 (pow.f64 v 6) (+.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 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.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 -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 3 (.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))
(+.f64 (.f64 3 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))))))))
(+.f64 (.f64 3 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))))
(.f64 -3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))
(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))))))))
(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 -6) v)
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))

Outputs
(*.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 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.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)))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64)))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (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 (.f64 4/3 (.f64 (pow.f64 v 6) (+.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 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.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))))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (fma.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 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 1/2 (/.f64 (+.f64 27/2 (/.f64 (.f64 -3/4 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))) 1/2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (fma.f64 (pow.f64 v 6) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (/.f64 1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 135/16 (PI.f64))))) (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))
(+.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)))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3))))
(+.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))))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 4/3 (/.f64 (pow.f64 v 7) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 1/2 (PI.f64)))) (pow.f64 v 7)) (.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))))
(+.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)))))))
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(fma.f64 3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (pow.f64 v 3) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) -3))))
(fma.f64 3 (/.f64 (.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -6)) (.f64 (PI.f64) -3))))
(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(fma.f64 3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)) (fma.f64 -3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(fma.f64 3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (pow.f64 v 3) (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) -3)))))
(fma.f64 3 (/.f64 (.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) 1/12)) (pow.f64 v 3)) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -6)) (*.f64 (PI.f64) -3)))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 3 (.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))
(.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 3 (pow.f64 v 3)))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(fma.f64 -3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))))
(fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 v -3)))
(fma.f64 (.f64 v -3) (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 3 (pow.f64 v 3))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(fma.f64 -3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (/.f64 -3 v) (.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(fma.f64 -3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 -3 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)) (fma.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 -3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 -3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) 1/12)) (pow.f64 v 3)) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (/.f64 -3 v) (*.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6)))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))
(fma.f64 -3 (/.f64 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))))
(+.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) (*.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))))))
(+.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (*.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))) (fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 -6) v)
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 v (sqrt.f64 -6) (*.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3))))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (/.f64 1/12 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 v (neg.f64 (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (neg.f64 (.f64 v (sqrt.f64 -6))) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 -1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (.f64 v (sqrt.f64 -6))))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))
(+.f64 (-.f64 (/.f64 -1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6))))) (/.f64 -1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))

eval216.0ms (3.7%)

Compiler: Compiled 10102 to 7817 computations (22.6% saved)

prune45.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	339	5	344
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	341	5	346

Error

Counts

346 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
▶	1.5b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
▶	0.0b	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))) (fma.f64 v v -1)))
▶	0.5b	(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))))
▶	1.5b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 138 to 118 computations (14.5% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))
✓	0.0b	(.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))) (fma.f64 v v -1))
✓	0.0b	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))) (fma.f64 v v -1)))
✓	0.1b	(.f64 v (.f64 v -6))

Compiler

Compiled 76 to 53 computations (30.3% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite78.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`log-prod_binary64`
390×	`pow2_binary64`
274×	`pow1/3_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	320	62
2	3885	62

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 v (.f64 v -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (.f64 v -6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (.f64 v -6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 v (.f64 v -6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 v v) 2) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (.f64 v -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 v (.f64 v -6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 v (.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v -6))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4/3 (/.f64 1 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)) 2)) (cbrt.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))) (sqrt.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/3 (/.f64 1 (.f64 (PI.f64) (neg.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1)))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v v -1) (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 v v -1) (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (fma.f64 v v -1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (.f64 -1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 v v)) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64)) (fma.f64 v v -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64)) (fma.f64 v v -1)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3) (pow.f64 (fma.f64 v v -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 v v -1) 3) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (PI.f64)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3) (pow.f64 (fma.f64 v v -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 v v -1) 3) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 v v) (.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 -1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -6) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 v v) 2) 36 -4)) (sqrt.f64 (fma.f64 v (.f64 v -6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 v v) 3) -216 8)) (hypot.f64 (.f64 v (.f64 v -6)) (sqrt.f64 (-.f64 4 (.f64 (.f64 v v) -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (.f64 v -6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 v (.f64 v -6) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1))))))

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-/r*_binary64`
557×	`associate-l_binary64`
536×	`associate-r_binary64`
440×	`times-frac_binary64`
389×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2052
1	696	1941
2	2602	1806

Stop Event

1×	node limit

Counts

143 → 167

Calls

Call 1

Inputs
(*.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 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 6) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.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 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.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 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.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))))) (.f64 1/36 (/.f64 1 (.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 (.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 (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)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.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))))) (.f64 1/36 (/.f64 1 (.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 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.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 (/.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))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.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 (.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 (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)))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (+.f64 (/.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))))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/36 (/.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 -1 (.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 (pow.f64 v 2) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))
(+.f64 (.f64 (+.f64 (.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))))
(.f64 (sqrt.f64 -6) (.f64 (pow.f64 v 3) (PI.f64)))
(+.f64 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))))))))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 -6) v)
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))

Outputs
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 -6 (pow.f64 v 2))
(.f64 -6 (.f64 v v))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) -4/3)))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (*.f64 (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) -4/3)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.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 (sqrt.f64 1/2) (PI.f64))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -4/3 (.f64 (pow.f64 v 4) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.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 (sqrt.f64 1/2) (PI.f64)))))))))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 4) (.f64 -4/3 (-.f64 (fma.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 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 6) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.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 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
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(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 v (neg.f64 (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (neg.f64 (.f64 v (sqrt.f64 -6))) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 -1/12 (*.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 v) (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (.f64 v (sqrt.f64 -6))))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))
(+.f64 (-.f64 (/.f64 -1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))) (/.f64 -1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (sqrt.f64 1/2) (PI.f64))

Compiler

Compiled 16 to 14 computations (12.5% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite43.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
486×	`add-sqr-sqrt_binary64`
469×	`add-log-exp_binary64`
469×	`log1p-expm1-u_binary64`
469×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	105	7
2	1261	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 1/2) (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))))

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

30 → 30

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.2%)

Compiler: Compiled 20 to 15 computations (25% saved)

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 2))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 2)))

Compiler

Compiled 55 to 36 computations (34.5% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite66.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`log-prod_binary64`
344×	`pow2_binary64`
239×	`pow1/3_binary64`
237×	`pow-unpow_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	297	38
2	3584	38

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2)) (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) (pow.f64 2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 1))))))

simplify85.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

768×	`times-frac_binary64`
581×	`associate-/l*_binary64`
428×	`associate-*l/_binary64`
298×	`cancel-sign-sub-inv_binary64`
296×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	772
1	193	755
2	624	719
3	2229	627
4	7487	627

Stop Event

1×	node limit

Counts

73 → 70

Calls

Call 1

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

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

localize33.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
✓	0.0b	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
✓	0.1b	(.f64 v (.f64 v 6))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))

Compiler

Compiled 89 to 59 computations (33.7% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite223.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`log-prod_binary64`
319×	`prod-diff_binary64`
318×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
268×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	392	75
2	4888	69

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 v (.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) 6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) 6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) 6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 v 6) 216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 v 4) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 v 6) 216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 v) (log.f64 6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (fma.f64 (.f64 v v) -6 2) (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3) (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2) (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (cbrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 1/4) (pow.f64 (fma.f64 (.f64 v v) -6 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 v v) -6 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 8 (.f64 (pow.f64 v 6) 216))) (sqrt.f64 (fma.f64 (.f64 v (.f64 v 6)) (fma.f64 v (.f64 v 6) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (.f64 (pow.f64 v 4) 36))) (sqrt.f64 (fma.f64 v (.f64 v 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 v v) -6 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 v v) -6 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 1))))))

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

513×	`associate-+l+_binary64`
464×	`associate-+r+_binary64`
445×	`associate-/r*_binary64`
404×	`associate-*l/_binary64`
383×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2088
1	677	1998
2	2584	1890

Stop Event

1×	node limit

Counts

136 → 160

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)))))))
(+.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 (.f64 4/3 (.f64 (pow.f64 v 6) (+.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 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.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 -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 3 (.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))
(+.f64 (.f64 3 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))))))))
(+.f64 (.f64 3 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))))
(.f64 -3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))
(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))))))))
(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 -6) v)
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))

Outputs
(*.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 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.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)))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64)))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (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 (.f64 4/3 (.f64 (pow.f64 v 6) (+.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 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.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))))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (fma.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 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 1/2 (/.f64 (+.f64 27/2 (/.f64 (.f64 -3/4 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))) 1/2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (fma.f64 (pow.f64 v 6) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (/.f64 1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 135/16 (PI.f64))))) (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))
(+.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)))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3))))
(+.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))))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 4/3 (/.f64 (pow.f64 v 7) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 1/2 (PI.f64)))) (pow.f64 v 7)) (.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))))
(+.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)))))))
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(fma.f64 3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (pow.f64 v 3) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) -3))))
(fma.f64 3 (/.f64 (.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -6)) (.f64 (PI.f64) -3))))
(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(fma.f64 3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)) (fma.f64 -3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(fma.f64 3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (pow.f64 v 3) (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) -3)))))
(fma.f64 3 (/.f64 (.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) 1/12)) (pow.f64 v 3)) (fma.f64 3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -6)) (*.f64 (PI.f64) -3)))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 3 (.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))
(.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 3 (pow.f64 v 3)))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(fma.f64 -3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))))
(fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 v -3)))
(fma.f64 (.f64 v -3) (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 3 (pow.f64 v 3))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(fma.f64 -3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (/.f64 -3 v) (.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(fma.f64 -3 (.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 -3 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)) (fma.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 -3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)))))
(fma.f64 -3 (.f64 v (-.f64 (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 -3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) 1/12)) (pow.f64 v 3)) (fma.f64 3 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (.f64 (/.f64 -3 v) (*.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6)))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))
(fma.f64 -3 (/.f64 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))))
(+.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) (*.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))))))
(+.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (*.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))) (fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 -6) v)
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 v (sqrt.f64 -6) (*.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3))))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (/.f64 1/12 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 v (neg.f64 (sqrt.f64 -6)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (neg.f64 (.f64 v (sqrt.f64 -6))) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (/.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 -1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (.f64 v (sqrt.f64 -6))))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))
(+.f64 (-.f64 (/.f64 -1/12 (.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6))))) (/.f64 -1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))

eval278.0ms (4.8%)

Compiler: Compiled 11443 to 8872 computations (22.5% saved)

prune62.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	424	3	427
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	425	7	432

Error

Counts

432 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
✓	1.5b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 2)))
▶	0.5b	(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
✓	0.0b	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))) (fma.f64 v v -1)))
▶	1.5b	(.f64 (/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (.f64 v v))))) 4)
▶	0.5b	(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))
✓	1.5b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 98 to 84 computations (14.3% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
✓	1.0b	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
✓	1.0b	(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))

Compiler

Compiled 47 to 29 computations (38.3% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))
1.0ms	v	@	0	(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))
1.0ms	v	@	inf	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
0.0ms	v	@	0	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
0.0ms	v	@	-inf	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))

rewrite133.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
334×	`pow2_binary64`
231×	`pow1/3_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	283	44
2	3428	44

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (*.f64 4/3 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sqrt.f64 1/2)) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4/3 (sqrt.f64 1/2))) (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) 1) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (-.f64 1 (*.f64 v v))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2)) (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 (sqrt.f64 1/2)) (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) -4/3) (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64))) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (*.f64 4/3 (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1 (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (PI.f64) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))))

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

707×	`associate-/l*_binary64`
422×	`distribute-lft-out_binary64`
382×	`associate-/l/_binary64`
358×	`associate-*l/_binary64`
316×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	928
1	260	900
2	784	825
3	2599	770
4	7529	770

Stop Event

1×	node limit

Counts

131 → 130

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

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

localize25.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 63 to 42 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))

1.0ms

inf

(/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))

0.0ms

-inf

(/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
348×	`pow-prod-down_binary64`
334×	`pow2_binary64`
229×	`pow1/3_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	281	19
2	3517	19

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (.f64 3 (-.f64 1 (*.f64 v v)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 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(-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) (sqrt.f64 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (neg.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 2 -3/2) (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) 1))))))

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

749×	`fma-def_binary64`
731×	`times-frac_binary64`
677×	`associate-/r*_binary64`
525×	`associate-l_binary64`
484×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	447
1	144	440
2	414	376
3	1330	327
4	7503	327

Stop Event

1×	node limit

Counts

61 → 64

Calls

Call 1

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

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

localize8.0ms (0.1%)

Compiler: Compiled 16 to 14 computations (12.5% saved)

eval74.0ms (1.3%)

Compiler: Compiled 3682 to 2717 computations (26.2% saved)

prune26.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	0	0	0
Picked	0	1	1
Done	3	3	6
Total	195	6	201

Error

Counts

201 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(/.f64 (/.f64 (.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (.f64 v v)))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
✓	0.5b	(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
✓	0.0b	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))) (fma.f64 v v -1)))
✓	1.5b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
▶	1.5b	(.f64 4/3 (.f64 (+.f64 (*.f64 v v) 1) (/.f64 (sqrt.f64 1/2) (PI.f64))))

Compiler

Compiled 79 to 67 computations (15.2% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4/3 (.f64 (+.f64 (*.f64 v v) 1) (/.f64 (sqrt.f64 1/2) (PI.f64))))
✓	0.0b	(.f64 (+.f64 (.f64 v v) 1) (/.f64 (sqrt.f64 1/2) (PI.f64)))
	1.0b	(/.f64 (sqrt.f64 1/2) (PI.f64))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
371×	`pow-prod-down_binary64`
303×	`pow2_binary64`
220×	`pow-unpow_binary64`
211×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	254	31
2	3173	31

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (*.f64 (fma.f64 v v 1) (/.f64 (sqrt.f64 1/2) (PI.f64))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (*.f64 (fma.f64 v v 1) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (*.f64 (fma.f64 v v 1) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (*.f64 (fma.f64 v v 1) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 v v 1) 4/3) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 v v 1) (sqrt.f64 1/2)) 4/3) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (*.f64 (fma.f64 v v 1) (sqrt.f64 1/2))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 v v 1) 4/3) 1) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 v v 1) 4/3) (sqrt.f64 1/2)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 v v 1) 4/3) (neg.f64 (sqrt.f64 1/2))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16/9 (*.f64 (pow.f64 (hypot.f64 1 v) 4) (*.f64 1/2 (pow.f64 (PI.f64) -2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (*.f64 (pow.f64 (hypot.f64 1 v) 4) (*.f64 1/2 (pow.f64 (PI.f64) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (*.f64 (fma.f64 v v 1) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v v 1) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4/3)))) 2))))))

simplify130.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1028×	`fma-def_binary64`
796×	`*-commutative_binary64`
628×	`associate-/r/_binary64`
609×	`associate-*l/_binary64`
446×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	498
1	36	498
2	72	462
3	164	390
4	517	354
5	1933	354
6	3736	354
7	4595	354
8	5124	354
9	5275	354
10	5458	354
11	5714	354
12	6946	354
13	7475	354

Stop Event

1×	node limit

Counts

136 → 123

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (.f64 v v)))
✓	1.0b	(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))

Compiler

Compiled 38 to 27 computations (28.9% saved)

series4.0ms (0.1%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

1.0ms

inf

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

0.0ms

-inf

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

rewrite107.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`log-prod_binary64`
325×	`pow2_binary64`
224×	`pow1/3_binary64`
220×	`expm1-udef_binary64`
219×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	262	23
2	3528	23

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (*.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 4/3 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 8/9) (*.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 8/9)) (*.f64 (sqrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 8/9) 8/9) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 (sqrt.f64 8/9) 8/9) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule 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v)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) (-.f64 1 (*.f64 v v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 8/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (sqrt.f64 8/9))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 8/9 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))) 1))))))

simplify159.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-def_binary64`
731×	`times-frac_binary64`
668×	`associate-/r*_binary64`
503×	`associate-l_binary64`
486×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	447
1	146	440
2	421	376
3	1332	327
4	7510	327

Stop Event

1×	node limit

Counts

113 → 115

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

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

eval220.0ms (3.8%)

Compiler: Compiled 4403 to 3188 computations (27.6% saved)

prune88.0ms (1.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	268	6	274

Error

Counts

274 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.5b	(/.f64 (/.f64 (.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (.f64 v v)))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
✓	0.5b	(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))
✓	0.0b	(/.f64 -4/3 (.f64 (.f64 (PI.f64) (sqrt.f64 (+.f64 (.f64 v (.f64 v -6)) 2))) (fma.f64 v v -1)))
✓	1.5b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
✓	1.5b	(.f64 4/3 (.f64 (+.f64 (*.f64 v v) 1) (/.f64 (sqrt.f64 1/2) (PI.f64))))

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes60.0ms (1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

7 calls:

13.0ms	v
10.0ms	(*.f64 v v)
7.0ms	(*.f64 v v)
6.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
5.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))

Results

Error	Segments	Branch
0.0b	1	`v`
0.0b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0.0b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0.0b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0.0b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0.0b	1	`(*.f64 v v)`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 249 to 180 computations (27.7% saved)

regimes65.0ms (1.1%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))

Calls

6 calls:

28.0ms	v
8.0ms	(*.f64 v v)
7.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
5.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
5.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0.5b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
0.5b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0.5b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
0.5b	1	`(*.f64 v v)`

Compiler

Compiled 212 to 155 computations (26.9% saved)

regimes18.0ms (0.3%)

Accuracy

Total -1.0b remaining (-181.8%)

Threshold costs -1.0b (-181.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	v
5.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`(*.f64 v v)`

Compiler

Compiled 50 to 38 computations (24% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	66
1	47	66
2	53	66
3	57	66
4	59	66

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 46 to 40 computations (13% saved)

soundness392.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1332×	`fma-def_binary64`
576×	`fma-neg_binary64`
530×	`distribute-rgt-in_binary64`
496×	`unsub-neg_binary64`
430×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	109	26
3	321	26
4	967	26
5	1747	24
6	3707	24
7	6458	24

Stop Event

1×	node limit

Compiler

Compiled 611 to 485 computations (20.6% saved)

end66.0ms (1.1%)

Compiler: Compiled 43 to 34 computations (20.9% saved)

Details

analyze9.0ms (0.2%)

sample1.8s (31.6%)

preprocess80.0ms (1.4%)

simplify64.0ms (1.1%)

eval2.0ms (0%)

prune3.0ms (0.1%)

localize52.0ms (0.9%)

series26.0ms (0.5%)

rewrite108.0ms (1.9%)

simplify95.0ms (1.6%)

localize51.0ms (0.9%)

series17.0ms (0.3%)

rewrite115.0ms (2%)

simplify78.0ms (1.4%)

eval216.0ms (3.7%)

prune45.0ms (0.8%)

localize31.0ms (0.5%)

series5.0ms (0.1%)

rewrite78.0ms (1.3%)

simplify66.0ms (1.1%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite43.0ms (0.7%)

simplify6.0ms (0.1%)

localize10.0ms (0.2%)

localize20.0ms (0.3%)

series5.0ms (0.1%)

rewrite66.0ms (1.1%)

simplify85.0ms (1.5%)

localize33.0ms (0.6%)

series5.0ms (0.1%)

rewrite223.0ms (3.9%)

simplify74.0ms (1.3%)

eval278.0ms (4.8%)

prune62.0ms (1.1%)

localize19.0ms (0.3%)

series5.0ms (0.1%)

rewrite133.0ms (2.3%)

simplify69.0ms (1.2%)

localize25.0ms (0.4%)

series2.0ms (0%)

rewrite64.0ms (1.1%)

simplify50.0ms (0.9%)

localize8.0ms (0.1%)

eval74.0ms (1.3%)

prune26.0ms (0.5%)

localize16.0ms (0.3%)

series3.0ms (0%)

rewrite74.0ms (1.3%)

simplify130.0ms (2.2%)

localize16.0ms (0.3%)

series4.0ms (0.1%)

rewrite107.0ms (1.9%)

simplify159.0ms (2.7%)

eval220.0ms (3.8%)

prune88.0ms (1.5%)

regimes60.0ms (1%)

regimes65.0ms (1.1%)

regimes18.0ms (0.3%)

simplify8.0ms (0.1%)

soundness392.0ms (6.8%)

end66.0ms (1.1%)

Profiling