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)

sample1.4s (27.1%)

Results

1.3s	8256×	body	256	valid
2.0ms	14×	body	256	invalid

Bogosity

preprocess69.0ms (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)

simplify72.0ms (1.4%)

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)))

eval1.0ms (0%)

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

prune2.0ms (0%)

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)

localize32.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (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 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
✓	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)

series13.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

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

rewrite79.0ms (1.6%)

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	69
1	288	69
2	3355	69

Stop Event

1×	node limit

Counts

4 → 93

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

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-/r*_binary64`
604×	`times-frac_binary64`
501×	`associate-/l*_binary64`
347×	`associate-*r/_binary64`
335×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	2376
1	834	2244
2	2961	2107

Stop Event

1×	node limit

Counts

141 → 187

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

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 3 (PI.f64)) (-.f64 1 (*.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)

series39.0ms (0.8%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	v	@	inf	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
2.0ms	v	@	0	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
1.0ms	v	@	0	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
1.0ms	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))))))

rewrite91.0ms (1.8%)

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	80
1	375	77
2	4681	73

Stop Event

1×	node limit

Counts

4 → 106

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)))))
(.f64 (.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))

Outputs
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(.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 3 (PI.f64))) (sqrt.f64 (.f64 3 (PI.f64))) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 3 (PI.f64))) (sqrt.f64 (.f64 3 (PI.f64))) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 3) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 3) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))))))

simplify132.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

873×	`associate-r_binary64`
405×	`associate-+l+_binary64`
368×	`associate-*l/_binary64`
351×	`associate-+r+_binary64`
343×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1938
1	579	1852
2	2228	1756

Stop Event

1×	node limit

Counts

154 → 161

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

eval257.0ms (5.1%)

Compiler: Compiled 10236 to 7830 computations (23.5% saved)

prune69.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	342	6	348
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	343	7	350

Error

Counts

350 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(/.f64 4 (.f64 (.f64 (PI.f64) (+.f64 3 (.f64 v (.f64 v -3)))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	1.9b	(/.f64 4 (.f64 (.f64 (PI.f64) 3) (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)))
▶	1.0b	(/.f64 -4/3 (*.f64 (PI.f64) (neg.f64 (sqrt.f64 2))))
▶	0.0b	(+.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))))
	0.0b	(.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1)))
▶	2.0b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 197 to 165 computations (16.2% saved)

localize95.0ms (1.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 83 to 48 computations (42.2% saved)

series9.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite94.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`log-prod_binary64`
345×	`pow2_binary64`
241×	`pow1/3_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	314	55
2	3878	55

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

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

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

737×	`fma-def_binary64`
504×	`associate-l_binary64`
473×	`associate-r_binary64`
464×	`associate-/r*_binary64`
320×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1833
1	588	1745
2	2033	1632

Stop Event

1×	node limit

Counts

174 → 193

Calls

Call 1

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

Outputs
(/.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 (/.f64 v (PI.f64)) v) (/.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 (/.f64 v (PI.f64)) v) (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 4/3 (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))))))
(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 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (+.f64 (*.f64 (/.f64 v (PI.f64)) v) (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 4/3 (PI.f64))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 v v)))
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(fma.f64 -4/3 (/.f64 (+.f64 (-.f64 (.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (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 1/2 (sqrt.f64 -1/6)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)))) (pow.f64 v 7)) (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 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3))))))
(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 1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (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 (fma.f64 -4/3 (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/108) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 -1/27 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)))))

localize9.0ms (0.2%)

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

rewrite47.0ms (0.9%)

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))))))))

simplify7.0ms (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

localize14.0ms (0.3%)

Compiler: Compiled 21 to 19 computations (9.5% saved)

localize92.0ms (1.8%)

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 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
	0.2b	(.f64 6 (.f64 v v))
✓	1.0b	(/.f64 4 (.f64 (.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Compiler

Compiled 59 to 38 computations (35.6% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite105.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log-prod_binary64`
357×	`pow2_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`
246×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	307	50
2	3705	44

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 3) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 3) (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 (PI.f64)) 3) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 3) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (*.f64 v v) -6 2) (*.f64 (pow.f64 (PI.f64) 2) 9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (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 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 3) 3) (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2) (pow.f64 (*.f64 (PI.f64) 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -6 2) (*.f64 (pow.f64 (PI.f64) 2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 3) (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 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 3) 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 (PI.f64) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 (PI.f64) (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 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 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 (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 (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 (sqrt.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 v v) 3) 216))) (sqrt.f64 (+.f64 4 (fma.f64 (pow.f64 v 4) 36 (*.f64 12 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36))) (sqrt.f64 (fma.f64 6 (*.f64 v v) 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))))))

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

743×	`fma-def_binary64`
719×	`associate-/r*_binary64`
608×	`times-frac_binary64`
468×	`associate-/l*_binary64`
363×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	1361
1	553	1294
2	1867	1218
3	7897	1216

Stop Event

1×	node limit

Counts

112 → 146

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 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.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 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.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 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 2/3 (/.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 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 -9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 -9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (.f64 -27/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (.f64 -9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (.f64 -27/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -81/2 (/.f64 (.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5))))))
(.f64 3 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))))
(+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (.f64 3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))))
(.f64 -3 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))))
(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (.f64 -3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))))
(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 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 v (/.f64 (PI.f64) v)) (sqrt.f64 1/2)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64))) (.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (*.f64 2/3 (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 (/.f64 v (/.f64 (PI.f64) v)) (sqrt.f64 1/2))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.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 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4))) (.f64 (/.f64 (pow.f64 v 6) (sqrt.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)))) (PI.f64))))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (fma.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64)) (.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (/.f64 (+.f64 27/2 (.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (PI.f64)))) (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)) (.f64 (/.f64 2/3 (sqrt.f64 1/2)) (+.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 (pow.f64 v 6) (/.f64 135/16 (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 (/.f64 -1/27 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))) (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 (/.f64 -1/27 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (fma.f64 -2/3 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/81) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.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 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 -2/3 (+.f64 (/.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 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))))) (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))) (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 (/.f64 -1/27 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (.f64 (/.f64 -2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 (/.f64 -2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7))) (/.f64 (/.f64 -1/27 (pow.f64 v 3)) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3)
(/.f64 (*.f64 (/.f64 -4/3 v) (sqrt.f64 -1/6)) (PI.f64))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3 (/.f64 1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))))
(+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (fma.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))) (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3)))
(+.f64 (/.f64 (fma.f64 2/3 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/81) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3 (/.f64 1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 2/3 (/.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 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 2/3 (+.f64 (/.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 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))))))
(+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (fma.f64 2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))) (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3)))
(+.f64 (.f64 (/.f64 2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))) (fma.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) -4/3 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))
(.f64 3 (.f64 (PI.f64) (sqrt.f64 2)))
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(+.f64 (.f64 -9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))))
(fma.f64 -9 (/.f64 (.f64 v v) (/.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (*.f64 (PI.f64) (sqrt.f64 2))))
(fma.f64 3 (.f64 (PI.f64) (sqrt.f64 2)) (/.f64 (.f64 (.f64 -9 (.f64 v v)) (PI.f64)) (sqrt.f64 2)))
(fma.f64 (PI.f64) (.f64 3 (sqrt.f64 2)) (.f64 (/.f64 -9 (sqrt.f64 2)) (.f64 (PI.f64) (.f64 v v))))
(+.f64 (.f64 -9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (.f64 -27/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))))
(fma.f64 -9 (/.f64 (.f64 v v) (/.f64 (sqrt.f64 2) (PI.f64))) (fma.f64 -27/2 (/.f64 (.f64 (PI.f64) (pow.f64 v 4)) (pow.f64 (sqrt.f64 2) 3)) (.f64 3 (.f64 (PI.f64) (sqrt.f64 2)))))
(fma.f64 -9 (.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) (PI.f64)) (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 -27/4 (/.f64 (.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2)))))
(fma.f64 (PI.f64) (.f64 3 (sqrt.f64 2)) (fma.f64 -9 (.f64 (PI.f64) (/.f64 (.f64 v v) (sqrt.f64 2))) (.f64 -27/4 (/.f64 (pow.f64 v 4) (/.f64 (sqrt.f64 2) (PI.f64))))))
(+.f64 (.f64 -9 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (.f64 -27/2 (/.f64 (.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -81/2 (/.f64 (.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5))))))
(fma.f64 -9 (/.f64 (.f64 v v) (/.f64 (sqrt.f64 2) (PI.f64))) (fma.f64 -27/2 (/.f64 (.f64 (PI.f64) (pow.f64 v 4)) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 -81/2 (/.f64 (*.f64 (PI.f64) (pow.f64 v 6)) (pow.f64 (sqrt.f64 2) 5))))))
(+.f64 (fma.f64 -9 (.f64 (/.f64 v (/.f64 (sqrt.f64 2) v)) (PI.f64)) (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 -27/4 (/.f64 (.f64 (PI.f64) (pow.f64 v 4)) (sqrt.f64 2))))) (/.f64 (.f64 (.f64 -81/2 (pow.f64 v 6)) (PI.f64)) (pow.f64 (sqrt.f64 2) 5)))
(fma.f64 -9 (.f64 (PI.f64) (/.f64 (.f64 v v) (sqrt.f64 2))) (fma.f64 -81/2 (/.f64 (PI.f64) (/.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 v 6))) (fma.f64 (PI.f64) (.f64 3 (sqrt.f64 2)) (.f64 -27/4 (/.f64 (pow.f64 v 4) (/.f64 (sqrt.f64 2) (PI.f64)))))))
(.f64 3 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(.f64 3 (.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 3 (.f64 (*.f64 (PI.f64) v) (sqrt.f64 -6)))
(.f64 (.f64 (PI.f64) v) (*.f64 (sqrt.f64 -6) 3))
(+.f64 (.f64 3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(.f64 3 (+.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))))
(.f64 3 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(.f64 3 (fma.f64 (PI.f64) (.f64 v (sqrt.f64 -6)) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))))
(fma.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (.f64 3 (+.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))))
(fma.f64 3 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))) (.f64 (/.f64 -3/2 (pow.f64 v 3)) (/.f64 (/.f64 (PI.f64) -6) (sqrt.f64 -6))))
(fma.f64 3 (fma.f64 (PI.f64) (.f64 v (sqrt.f64 -6)) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (/.f64 (*.f64 (/.f64 1/4 (sqrt.f64 -6)) (PI.f64)) (pow.f64 v 3)))
(+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (.f64 3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))))
(fma.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))))
(fma.f64 -3/2 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (.f64 -6 (pow.f64 v 3)))) (fma.f64 3 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))) (.f64 3/2 (/.f64 (/.f64 (PI.f64) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)))))
(fma.f64 3 (fma.f64 (PI.f64) (.f64 v (sqrt.f64 -6)) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (fma.f64 3/2 (/.f64 (/.f64 (PI.f64) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (*.f64 (/.f64 1/4 (sqrt.f64 -6)) (PI.f64)) (pow.f64 v 3))))
(.f64 -3 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(.f64 (.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) -3)
(.f64 v (.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) -3))
(.f64 (.f64 (PI.f64) v) (*.f64 (sqrt.f64 -6) -3))
(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(.f64 -3 (+.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))))
(.f64 -3 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(.f64 -3 (fma.f64 (PI.f64) (.f64 v (sqrt.f64 -6)) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))))
(fma.f64 -3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (.f64 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) -3)))
(+.f64 (.f64 -3 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)))) (*.f64 (/.f64 3/2 (pow.f64 v 3)) (/.f64 (/.f64 (PI.f64) -6) (sqrt.f64 -6))))
(fma.f64 -3 (fma.f64 (PI.f64) (.f64 v (sqrt.f64 -6)) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (/.f64 (*.f64 (/.f64 -1/4 (sqrt.f64 -6)) (PI.f64)) (pow.f64 v 3)))
(+.f64 (.f64 -3 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 -3 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) v))) (.f64 -3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))))
(fma.f64 -3 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 -3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))))
(fma.f64 (.f64 (.f64 (PI.f64) v) (sqrt.f64 -6)) -3 (fma.f64 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (.f64 -6 (pow.f64 v 3)))) 3/2 (fma.f64 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) -3 (/.f64 (/.f64 (*.f64 (PI.f64) -3/2) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)))))
(+.f64 (.f64 -3 (fma.f64 (PI.f64) (.f64 v (sqrt.f64 -6)) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))) (fma.f64 -3/2 (/.f64 (/.f64 (PI.f64) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (.f64 (/.f64 -1/4 (sqrt.f64 -6)) (PI.f64)) (pow.f64 v 3))))
(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 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))
(fma.f64 -3 (/.f64 (*.f64 v v) (sqrt.f64 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 (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 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) (*.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2))))
(fma.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (fma.f64 -3 (/.f64 (*.f64 v v) (sqrt.f64 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))))))
(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 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2)) (*.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)) (fma.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (fma.f64 -3 (/.f64 (*.f64 v v) (sqrt.f64 2)) (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 (/.f64 1 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 (/.f64 (/.f64 1 v) (sqrt.f64 -6)) (fma.f64 v (sqrt.f64 -6) (*.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) -1/2)))
(+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (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 (/.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 (/.f64 1 v) (sqrt.f64 -6)) (+.f64 (/.f64 (/.f64 1/2 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)) (fma.f64 v (sqrt.f64 -6) (*.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) -1/2))))
(+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 (/.f64 1/2 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (pow.f64 v 3)))))
(.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))))
(neg.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 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 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (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 v 5)) (pow.f64 (sqrt.f64 -6) 5)))
(+.f64 (-.f64 (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (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))))

localize58.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 61 computations (34.4% saved)

series11.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	v	@	0	(/.f64 4 (.f64 (.f64 (PI.f64) (+.f64 3 (.f64 v (.f64 v -3)))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
2.0ms	v	@	inf	(/.f64 4 (.f64 (.f64 (PI.f64) (+.f64 3 (.f64 v (.f64 v -3)))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
1.0ms	v	@	-inf	(/.f64 4 (.f64 (.f64 (PI.f64) (+.f64 3 (.f64 v (.f64 v -3)))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
1.0ms	v	@	inf	(.f64 (.f64 (PI.f64) (+.f64 3 (.f64 v (.f64 v -3)))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
1.0ms	v	@	0	(.f64 (.f64 (PI.f64) (+.f64 3 (.f64 v (.f64 v -3)))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))

rewrite97.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`prod-diff_binary64`
331×	`expm1-udef_binary64`
331×	`log1p-udef_binary64`
303×	`fma-def_binary64`
266×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	404	62
2	5164	58

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs

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

(*.f64 v (*.f64 v -3))

(*.f64 (*.f64 (PI.f64) (+.f64 3 (*.f64 v (*.f64 v -3)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 (PI.f64) (*.f64 (fma.f64 v (*.f64 v -3) 3) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (cbrt.f64 (/.f64 16 (*.f64 (fma.f64 (*.f64 v v) -6 2) (pow.f64 (*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (*.f64 (fma.f64 (*.f64 v v) -6 2) (pow.f64 (*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) 2)))) (cbrt.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (sqrt.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 (*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (fma.f64 v (*.f64 v -3) 3) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (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 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (*.f64 (fma.f64 (*.f64 v v) -6 2) (pow.f64 (*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (fma.f64 v (*.f64 v -3) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 v v) 3) -27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -3) v) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 v v) 3) -27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -3))) 1))))))

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

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-l_binary64`
637×	`associate-r_binary64`
449×	`associate-+l+_binary64`
416×	`associate-/r*_binary64`
361×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	1795
1	614	1731
2	2287	1637

Stop Event

1×	node limit

Counts

91 → 104

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 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (pow.f64 v 2))))
(+.f64 (.f64 4 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (pow.f64 v 2)))))
(+.f64 (.f64 4 (.f64 (pow.f64 v 6) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/6 (/.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 4 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (pow.f64 v 2))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1/3 (/.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 (/.f64 (+.f64 (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 1/108 (/.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 (/.f64 (+.f64 (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (.f64 4 (/.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (.f64 1/6 (/.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 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 1/6 (/.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 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1/3 (/.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 (/.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1/3 (/.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 (/.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (.f64 1/6 (/.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 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 1/6 (/.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 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -9 (/.f64 (PI.f64) (sqrt.f64 2))))))
(+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))) (.f64 9 (/.f64 (PI.f64) (sqrt.f64 2))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (.f64 (sqrt.f64 2) (PI.f64))) (*.f64 -9 (/.f64 (PI.f64) (sqrt.f64 2)))))))
(+.f64 (.f64 (+.f64 (.f64 -81/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))) (.f64 9 (/.f64 (PI.f64) (sqrt.f64 2))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 -9 (/.f64 (PI.f64) (sqrt.f64 2))))))))
(.f64 -3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 v (+.f64 (.f64 3 (.f64 (sqrt.f64 -6) (PI.f64))) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6))))) (.f64 -3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (.f64 v (+.f64 (.f64 3 (.f64 (sqrt.f64 -6) (PI.f64))) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6))))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))))))
(+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (.f64 v (+.f64 (.f64 3 (.f64 (sqrt.f64 -6) (PI.f64))) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6))))) (+.f64 (.f64 3 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (.f64 -3/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (.f64 3/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))))))))
(.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 -1 (.f64 v (+.f64 (.f64 3 (.f64 (sqrt.f64 -6) (PI.f64))) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) v)) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -1 (.f64 v (+.f64 (.f64 3 (.f64 (sqrt.f64 -6) (PI.f64))) (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6))))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 -3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -1 (.f64 v (+.f64 (.f64 3 (.f64 (sqrt.f64 -6) (PI.f64))) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (pow.f64 v 2))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4 (.f64 (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (*.f64 v v))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4 (.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 v v))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 1 (sqrt.f64 1/2)) (PI.f64)))))
(+.f64 (.f64 4 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (pow.f64 v 2)))))
(fma.f64 4 (.f64 (pow.f64 v 4) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4 (.f64 (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (*.f64 v v)))))
(fma.f64 4 (.f64 (pow.f64 v 4) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3 (.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4 (.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 v v)))))
(fma.f64 4 (.f64 (pow.f64 v 4) (+.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (/.f64 1/6 (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 1 (sqrt.f64 1/2)) (PI.f64))))))
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(fma.f64 4 (.f64 (pow.f64 v 6) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 1/6 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.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)))))))) (fma.f64 4 (.f64 (pow.f64 v 4) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 1/6 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4 (.f64 (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3)) (*.f64 v v))))))
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(fma.f64 4 (.f64 (pow.f64 v 6) (+.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (/.f64 1/6 (sqrt.f64 1/2)) (+.f64 (/.f64 135/16 (PI.f64)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)))))) (fma.f64 4 (.f64 (pow.f64 v 4) (+.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1/3 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (/.f64 1/6 (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 1 (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 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1/3 (/.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 (/.f64 (+.f64 (/.f64 1/108 (.f64 (PI.f64) (sqrt.f64 -1/6))) (.f64 -1/3 (/.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 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (.f64 4 (fma.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/108 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 5)))
(fma.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (/.f64 (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (/.f64 1/27 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/108 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 1/108 (/.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))))))
(fma.f64 4 (/.f64 (+.f64 (/.f64 1/108 (.f64 (PI.f64) (sqrt.f64 -1/6))) (.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4 (/.f64 (fma.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/108 (.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 (/.f64 (fma.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/108 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (fma.f64 4 (/.f64 (fma.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/108 (.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 (/.f64 (fma.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/108 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (fma.f64 4 (/.f64 (fma.f64 -1/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/108 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)))))
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(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
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(-.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (.f64 3 (sqrt.f64 -6)))) (.f64 v (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) v)) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -1 (.f64 v (+.f64 (.f64 3 (.f64 (sqrt.f64 -6) (PI.f64))) (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6))))))))
(fma.f64 -1 (/.f64 (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) v) (fma.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (neg.f64 (.f64 v (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6))))))))
(-.f64 (-.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 v (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (/.f64 (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/4 (/.f64 (PI.f64) (sqrt.f64 -6)))) v))
(-.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (.f64 3 (sqrt.f64 -6)))) (+.f64 (.f64 v (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6))))) (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) 11/4) v)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 -6))) (.f64 3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (.f64 -3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -1 (.f64 v (+.f64 (.f64 3 (.f64 (sqrt.f64 -6) (PI.f64))) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(fma.f64 -1 (/.f64 (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) v) (fma.f64 -1 (/.f64 (.f64 -3/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3)) (fma.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6))) (neg.f64 (.f64 v (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(-.f64 (-.f64 (-.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -6)))) (.f64 v (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (/.f64 (fma.f64 -3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3))) (/.f64 (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -1/4 (/.f64 (PI.f64) (sqrt.f64 -6)))) v))
(-.f64 (-.f64 (.f64 (PI.f64) (.f64 (pow.f64 v 3) (.f64 3 (sqrt.f64 -6)))) (.f64 v (fma.f64 3 (.f64 (PI.f64) (sqrt.f64 -6)) (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (/.f64 (fma.f64 -3/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (/.f64 (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) 11/4) v)))

eval384.0ms (7.6%)

Compiler: Compiled 13192 to 10315 computations (21.8% saved)

prune153.0ms (3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	509	0	509
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	509	7	516

Error

Counts

516 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 4 (.f64 (.f64 (PI.f64) (+.f64 3 (.f64 v (.f64 v -3)))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	1.9b	(/.f64 4 (.f64 (.f64 (PI.f64) 3) (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)))
✓	1.0b	(/.f64 -4/3 (*.f64 (PI.f64) (neg.f64 (sqrt.f64 2))))
✓	0.0b	(+.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))))
▶	0.0b	(.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1)))
✓	2.0b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 107 to 89 computations (16.8% saved)

localize56.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 66 to 47 computations (28.8% saved)

series4.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

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

rewrite111.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log-prod_binary64`
401×	`pow2_binary64`
283×	`pow1/3_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	338	46
2	4285	46

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4/3 (*.f64 (*.f64 (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 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (*.f64 (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 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (*.f64 (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 -4/3 (*.f64 (*.f64 (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 (*.f64 (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 (fma.f64 v v -1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -4/3 (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 -4/3 (PI.f64)) (/.f64 (fma.f64 v v -1) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -4/3 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (fma.f64 v v -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -4/3 (PI.f64)) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (/.f64 1 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (fma.f64 v v -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 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simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-def_binary64`
519×	`associate-/r*_binary64`
452×	`times-frac_binary64`
418×	`associate-r_binary64`
416×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1628
1	507	1558
2	1855	1459

Stop Event

1×	node limit

Counts

169 → 192

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 -4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 -2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -1 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))))
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(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 2/3 (/.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 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.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 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))

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 (.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 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -4/3 (*.f64 v v))))
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(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 (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))))) (*.f64 -4/3 (pow.f64 v 4)))))
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(.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 -4/3 (PI.f64)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))
(*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))
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(.f64 -4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
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(fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -4/3 (fma.f64 -2/3 (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64))) (-.f64 (.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (.f64 (/.f64 (+.f64 27/2 (.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (PI.f64)) -2/3)) (/.f64 (/.f64 (*.f64 v v) (sqrt.f64 1/2)) (PI.f64)))))
(fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -4/3 (-.f64 (.f64 (/.f64 -2/3 (sqrt.f64 1/2)) (+.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 (pow.f64 v 6) (/.f64 135/16 (PI.f64))))) (/.f64 (/.f64 v (/.f64 (sqrt.f64 1/2) v)) (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 (/.f64 1/27 (.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 3)))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))))
(+.f64 (/.f64 (+.f64 1/81 (.f64 2/3 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(+.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 2/3 1/81) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 (/.f64 1/27 (.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 3))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 2/3 (/.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 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(+.f64 (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 2/3 (+.f64 (/.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 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))))))
(+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (fma.f64 2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)))))
(+.f64 (.f64 (/.f64 2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 (/.f64 1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 3))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))) (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 (/.f64 -1/27 (.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 3)))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))) (/.f64 1/27 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 (/.f64 -1/27 (.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 3))) (/.f64 (fma.f64 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -2/3 -1/81) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.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 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (.f64 -2/3 (+.f64 (/.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 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))))) (/.f64 1/27 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (/.f64 -1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 (/.f64 -1/27 (.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 3))) (.f64 (/.f64 -2/3 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7)))))

eval198.0ms (3.9%)

Compiler: Compiled 6618 to 5200 computations (21.4% saved)

prune61.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	241	1	242
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	244	5	249

Error

Counts

249 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
✓	1.0b	(/.f64 4 (.f64 (.f64 (PI.f64) (+.f64 3 (.f64 v (.f64 v -3)))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	1.9b	(/.f64 4 (.f64 (.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	1.0b	(/.f64 -4/3 (*.f64 (PI.f64) (neg.f64 (sqrt.f64 2))))
✓	2.0b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 68 to 58 computations (14.7% saved)

localize31.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 38 computations (33.3% 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) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
1.0ms	v	@	inf	(/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
1.0ms	v	@	0	(/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
1.0ms	v	@	0	(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))
0.0ms	v	@	-inf	(*.f64 (PI.f64) (fma.f64 v v -1))

rewrite93.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`log-prod_binary64`
402×	`pow-prod-down_binary64`
361×	`pow2_binary64`
254×	`pow1/3_binary64`
251×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	294	45
2	3606	45

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

530×	`fma-def_binary64`
502×	`fma-neg_binary64`
328×	`associate-/r*_binary64`
324×	`associate-l_binary64`
307×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1483
1	460	1427
2	1546	1354
3	6614	1350

Stop Event

1×	node limit

Counts

130 → 139

Calls

Call 1

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

Outputs
(/.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 (/.f64 v (PI.f64)) v) (/.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 (/.f64 v (PI.f64)) v) (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 4/3 (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))))))
(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 (/.f64 v (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 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (.f64 (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))))
(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 -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 -4/3 (.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (/.f64 -4/3 (.f64 (PI.f64) (.f64 v v))) (/.f64 4/3 (.f64 (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 -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 -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 6))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(+.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 6))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (.f64 (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))))
(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 -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 -4/3 (.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (/.f64 -4/3 (.f64 (PI.f64) (.f64 v v))) (/.f64 4/3 (.f64 (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 -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 -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 6))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(+.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 6))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(*.f64 -1 (PI.f64))
(neg.f64 (PI.f64))
(+.f64 (.f64 -1 (PI.f64)) (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (+.f64 -1 (.f64 v v)))
(.f64 (PI.f64) (+.f64 (.f64 v v) -1))
(*.f64 (PI.f64) (fma.f64 v v -1))
(+.f64 (.f64 -1 (PI.f64)) (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (+.f64 -1 (.f64 v v)))
(.f64 (PI.f64) (+.f64 (.f64 v v) -1))
(*.f64 (PI.f64) (fma.f64 v v -1))
(+.f64 (.f64 -1 (PI.f64)) (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (+.f64 -1 (.f64 v v)))
(.f64 (PI.f64) (+.f64 (.f64 v v) -1))
(*.f64 (PI.f64) (fma.f64 v v -1))
(*.f64 (pow.f64 v 2) (PI.f64))
(.f64 (PI.f64) (.f64 v v))
(+.f64 (.f64 -1 (PI.f64)) (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (+.f64 -1 (.f64 v v)))
(.f64 (PI.f64) (+.f64 (.f64 v v) -1))
(*.f64 (PI.f64) (fma.f64 v v -1))
(+.f64 (.f64 -1 (PI.f64)) (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (+.f64 -1 (.f64 v v)))
(.f64 (PI.f64) (+.f64 (.f64 v v) -1))
(*.f64 (PI.f64) (fma.f64 v v -1))
(+.f64 (.f64 -1 (PI.f64)) (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (+.f64 -1 (.f64 v v)))
(.f64 (PI.f64) (+.f64 (.f64 v v) -1))
(*.f64 (PI.f64) (fma.f64 v v -1))
(*.f64 (pow.f64 v 2) (PI.f64))
(.f64 (PI.f64) (.f64 v v))
(+.f64 (.f64 -1 (PI.f64)) (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (+.f64 -1 (.f64 v v)))
(.f64 (PI.f64) (+.f64 (.f64 v v) -1))
(*.f64 (PI.f64) (fma.f64 v v -1))
(+.f64 (.f64 -1 (PI.f64)) (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (+.f64 -1 (.f64 v v)))
(.f64 (PI.f64) (+.f64 (.f64 v v) -1))
(*.f64 (PI.f64) (fma.f64 v v -1))
(+.f64 (.f64 -1 (PI.f64)) (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (+.f64 -1 (.f64 v v)))
(.f64 (PI.f64) (+.f64 (.f64 v v) -1))
(*.f64 (PI.f64) (fma.f64 v v -1))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
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(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 -1/6)) (PI.f64)) (pow.f64 v 3))
(/.f64 (/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 3))
(+.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 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))))
(fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (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 (.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))))))
(fma.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 (PI.f64) (sqrt.f64 -1/6))))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.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 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7))))
(fma.f64 4/3 (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) (/.f64 (fma.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 -1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)))
(+.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)))))))
(fma.f64 4/3 (/.f64 (-.f64 (fma.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 (PI.f64) (sqrt.f64 -1/6))) (+.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 (PI.f64) (sqrt.f64 -1/6)))))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (fma.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 (PI.f64) (sqrt.f64 -1/6))))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 4/3 (/.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.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)))) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.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 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)))))
(fma.f64 4/3 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)))) (/.f64 (fma.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64))))) (/.f64 -1/27 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 (/.f64 -1/2 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)) (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3)) (PI.f64)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/162 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64))) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9))))

eval150.0ms (3%)

Compiler: Compiled 4987 to 3836 computations (23.1% saved)

prune27.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	189	5	194

Error

Counts

194 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
✓	1.0b	(/.f64 4 (.f64 (.f64 (PI.f64) (+.f64 3 (.f64 v (.f64 v -3)))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	1.9b	(/.f64 4 (.f64 (.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
	1.0b	(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
✓	2.0b	(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))

Compiler

Compiled 67 to 57 computations (14.9% saved)

regimes31.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	v
4.0ms	(*.f64 v v)
3.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
3.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
3.0ms	(*.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 233 to 169 computations (27.5% saved)

regimes28.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

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

Calls

7 calls:

5.0ms	v
4.0ms	(*.f64 v v)
4.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
3.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
3.0ms	(.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 180 to 132 computations (26.7% saved)

regimes26.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	v
4.0ms	(*.f64 v v)
3.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
3.0ms	(*.f64 v v)
3.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))

Results

Error	Segments	Branch
1.0b	1	`v`
1.0b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
1.0b	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
1.0b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
1.0b	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
1.0b	1	`(*.f64 v v)`
1.0b	1	`(*.f64 v v)`

Compiler

Compiled 164 to 121 computations (26.2% saved)

regimes9.0ms (0.2%)

Accuracy

Total -1.0b remaining (-93.3%)

Threshold costs -1.0b (-93.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	v
2.0ms	(*.f64 v v)

Results

Error	Segments	Branch
1.0b	1	`v`
1.0b	1	`(*.f64 v v)`

Compiler

Compiled 40 to 32 computations (20% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`distribute-lft-neg-in_binary64`
3×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	99
1	55	99
2	64	99
3	71	99
4	76	99
5	79	99
6	80	99

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 69 to 57 computations (17.4% saved)

soundness218.0ms (4.3%)

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)

end65.0ms (1.3%)

Compiler: Compiled 65 to 49 computations (24.6% saved)

Details

analyze9.0ms (0.2%)

sample1.4s (27.1%)

preprocess69.0ms (1.4%)

simplify72.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize32.0ms (0.6%)

series13.0ms (0.3%)

rewrite79.0ms (1.6%)

simplify78.0ms (1.6%)

localize30.0ms (0.6%)

series39.0ms (0.8%)

rewrite91.0ms (1.8%)

simplify132.0ms (2.6%)

eval257.0ms (5.1%)

prune69.0ms (1.4%)

localize95.0ms (1.9%)

series9.0ms (0.2%)

rewrite94.0ms (1.9%)

simplify78.0ms (1.6%)

localize9.0ms (0.2%)

series0.0ms (0%)

rewrite47.0ms (0.9%)

simplify7.0ms (0.1%)

localize14.0ms (0.3%)

localize92.0ms (1.8%)

series7.0ms (0.1%)

rewrite105.0ms (2.1%)

simplify87.0ms (1.7%)

localize58.0ms (1.2%)

series11.0ms (0.2%)

rewrite97.0ms (1.9%)

simplify68.0ms (1.4%)

eval384.0ms (7.6%)

prune153.0ms (3%)

localize56.0ms (1.1%)

series4.0ms (0.1%)

rewrite111.0ms (2.2%)

simplify71.0ms (1.4%)

eval198.0ms (3.9%)

prune61.0ms (1.2%)

localize31.0ms (0.6%)

series5.0ms (0.1%)

rewrite93.0ms (1.8%)

simplify84.0ms (1.7%)

eval150.0ms (3%)

prune27.0ms (0.5%)

regimes31.0ms (0.6%)

regimes28.0ms (0.6%)

regimes26.0ms (0.5%)

regimes9.0ms (0.2%)

simplify9.0ms (0.2%)

soundness218.0ms (4.3%)

end65.0ms (1.3%)

Profiling