Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample1.0s (31.5%)

Results

1.0s	8253×	body	64	valid
2.0ms	3×	body	128	valid
1.0ms	12×	body	64	invalid

preprocess47.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1332×	`fma-def_binary64`
576×	`fma-neg_binary64`
553×	`distribute-rgt-in_binary64`
496×	`unsub-neg_binary64`
440×	`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	968	26
5	1747	24
6	3706	24
7	6366	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 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (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 -4/3 (fma.f64 v v -1)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify39.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1332×	`fma-def_binary64`
576×	`fma-neg_binary64`
553×	`distribute-rgt-in_binary64`
496×	`unsub-neg_binary64`
440×	`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	968	26
5	1747	24
6	3706	24
7	6366	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 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (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 -4/3 (fma.f64 v v -1)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 71 to 53 computations (25.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series11.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

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

rewrite66.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log-prod_binary64`
362×	`pow2_binary64`
255×	`pow1/3_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	294	46
2	3679	46

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4/3 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -4/3 (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4/3 (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4/3 (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -4/3 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2) (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/3 (/.f64 1 (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 v v -1)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4/3 (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 16/9 (pow.f64 (fma.f64 v v -1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -4/3 (fma.f64 v v -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 v v -1) -3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (fma.f64 v v -1) -3/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/9 (pow.f64 (fma.f64 v v -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -4/3 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -4/3 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -4/3 (fma.f64 v v -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -4/3 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4/3 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -4/3 (fma.f64 v v -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4/3 (fma.f64 v v -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 -4/3 (.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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (.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 (exp.f64 (/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (.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 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4/3 (/.f64 (/.f64 1 (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 -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 -4/3 (.f64 (/.f64 1 (fma.f64 v v -1)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4/3 (fma.f64 v v -1)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 -4/3 (.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 (cbrt.f64 (/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) 2) (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) 2) (fma.f64 v (.f64 v -6) 2))) (cbrt.f64 (/.f64 (/.f64 -4/3 (.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 (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2) (.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (sqrt.f64 (/.f64 (/.f64 -4/3 (.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 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (.f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (fma.f64 v v -1)) (/.f64 1 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)) (/.f64 -4/3 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4/3 (.f64 (PI.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 1 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2) (PI.f64)) (/.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (PI.f64)) (/.f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4/3 (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 1 (fma.f64 v v -1)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (/.f64 -4/3 (.f64 (PI.f64) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -4/3 (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 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 1) (/.f64 (sqrt.f64 (/.f64 -4/3 (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 (cbrt.f64 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (PI.f64) 2)))) (/.f64 (/.f64 1 (fma.f64 v v -1)) (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) -2) (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) 2) (cbrt.f64 (.f64 (fma.f64 v (.f64 v -6) 2) (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 (/.f64 -4/3 (.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 (/.f64 (sqrt.f64 (/.f64 -4/3 (fma.f64 v v -1))) (cbrt.f64 (.f64 (fma.f64 v (.f64 v 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Outputs

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simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

893×	`fma-def_binary64`
484×	`associate-/r*_binary64`
428×	`associate-l_binary64`
420×	`times-frac_binary64`
414×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	1656
1	616	1582
2	2109	1505

Stop Event

1×	node limit

Counts

139 → 165

Calls

Call 1

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

Outputs
4/3
(+.f64 4/3 (*.f64 4/3 (pow.f64 v 2)))
(+.f64 4/3 (.f64 4/3 (.f64 v v)))
(fma.f64 4/3 (*.f64 v v) 4/3)
(fma.f64 v (*.f64 v 4/3) 4/3)
(+.f64 4/3 (+.f64 (.f64 4/3 (pow.f64 v 4)) (.f64 4/3 (pow.f64 v 2))))
(+.f64 4/3 (.f64 4/3 (+.f64 (pow.f64 v 4) (.f64 v v))))
(fma.f64 4/3 (+.f64 (*.f64 v v) (pow.f64 v 4)) 4/3)
(fma.f64 4/3 (fma.f64 v v (pow.f64 v 4)) 4/3)
(+.f64 4/3 (+.f64 (.f64 4/3 (pow.f64 v 4)) (+.f64 (.f64 4/3 (pow.f64 v 6)) (*.f64 4/3 (pow.f64 v 2)))))
(+.f64 4/3 (fma.f64 4/3 (pow.f64 v 4) (.f64 4/3 (+.f64 (pow.f64 v 6) (.f64 v v)))))
(+.f64 4/3 (.f64 4/3 (+.f64 (pow.f64 v 4) (+.f64 (.f64 v v) (pow.f64 v 6)))))
(fma.f64 4/3 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) 4/3)
(/.f64 -4/3 (pow.f64 v 2))
(/.f64 -4/3 (*.f64 v v))
(/.f64 (/.f64 -4/3 v) v)
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v))))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 (/.f64 -4/3 v) v))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))
(-.f64 (/.f64 (/.f64 -4/3 v) v) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6))))
(+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 6)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (.f64 4/3 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 8)) (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6))))))
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (-.f64 (/.f64 (/.f64 -4/3 v) v) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 6))))
(/.f64 -4/3 (pow.f64 v 2))
(/.f64 -4/3 (*.f64 v v))
(/.f64 (/.f64 -4/3 v) v)
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (.f64 4/3 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v))))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 (/.f64 -4/3 v) v))
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))
(-.f64 (/.f64 (/.f64 -4/3 v) v) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6))))
(+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 6)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 v 6))) (.f64 4/3 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 8)) (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6))))))
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (-.f64 (/.f64 (/.f64 -4/3 v) v) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 6))))
(*.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 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (.f64 v v) -4/3)))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (.f64 v v) (.f64 (-.f64 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64))) -4/3)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 -4/3 (.f64 v (.f64 v (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 4) (.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))))) -4/3))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -4/3 (fma.f64 v (.f64 v (-.f64 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (pow.f64 v 4) (-.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 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 v 6) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(fma.f64 -4/3 (.f64 (pow.f64 v 6) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -1/2 (+.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))) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (.f64 (.f64 v v) (-.f64 (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 (pow.f64 v 6) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (+.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 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (.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 (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 (pow.f64 v 4) (.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))))) -4/3)))))
(fma.f64 (pow.f64 v 6) (.f64 (+.f64 (.f64 (/.f64 -1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 135/16 (PI.f64)))) (-.f64 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) -4/3) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 -4/3 (fma.f64 v (.f64 v (-.f64 (/.f64 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (pow.f64 v 4) (-.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 -3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
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(+.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))
(fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.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) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(fma.f64 (sqrt.f64 -6) (.f64 v (PI.f64)) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))
(fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (*.f64 -6 (pow.f64 v 3)))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(fma.f64 (/.f64 1/12 (sqrt.f64 -6)) (/.f64 (PI.f64) (pow.f64 v 3)) (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.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))))))
(fma.f64 (sqrt.f64 -6) (.f64 v (PI.f64)) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))))))
(fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (*.f64 -6 (pow.f64 v 3)))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)))))
(fma.f64 1/2 (/.f64 (/.f64 (PI.f64) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)) (fma.f64 (/.f64 1/12 (sqrt.f64 -6)) (/.f64 (PI.f64) (pow.f64 v 3)) (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)))))
(.f64 -1 (.f64 v (*.f64 (sqrt.f64 -6) (PI.f64))))
(neg.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))))
(.f64 (.f64 (neg.f64 v) (PI.f64)) (sqrt.f64 -6))
(.f64 v (.f64 (PI.f64) (neg.f64 (sqrt.f64 -6))))
(+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))
(.f64 -1 (+.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6)))))
(neg.f64 (fma.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(+.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))))))
(fma.f64 -1 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (/.f64 (.f64 1/2 (PI.f64)) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(fma.f64 -1 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))) (.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -6) -6)) (/.f64 (PI.f64) (pow.f64 v 3))))
(-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (/.f64 -1/12 (sqrt.f64 -6))) (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))
(+.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)))))))
(fma.f64 -1 (.f64 v (.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 -1 (/.f64 (PI.f64) (.f64 v (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (PI.f64) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (/.f64 (.f64 1/2 (PI.f64)) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))))))
(fma.f64 -1 (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (.f64 (sqrt.f64 -6) (.f64 -6 (pow.f64 v 3)))) (.f64 -1/2 (/.f64 (/.f64 (PI.f64) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (PI.f64) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -6) 5)) (.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (/.f64 -1/12 (sqrt.f64 -6)))) (fma.f64 v (.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))

prune402.0ms (12.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	2	166

Error

Counts

166 → 2

Alt Table

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

Status

Error

Program

0.0b

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

▶

0.0b

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

Compiler

Compiled 4647 to 3585 computations (22.9% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`log-prod_binary64`
387×	`pow2_binary64`
272×	`pow1/3_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	327	56
2	3949	56

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

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

Inputs

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

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

(/.f64 1 (fma.f64 v v -1))

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

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simplify60.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
482×	`associate-/r*_binary64`
348×	`associate-l_binary64`
330×	`associate-r_binary64`
313×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	2267
1	625	2170
2	2186	2065

Stop Event

1×	node limit

Counts

140 → 167

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (neg.f64 (sqrt.f64 1/2)) (PI.f64))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.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)))))))
(fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.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 (.f64 (.f64 v v) (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(-.f64 (.f64 v (.f64 v (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.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 (+.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))))) (pow.f64 v 4))))
(fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.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 (-.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)))) (pow.f64 v 4))))
(-.f64 (fma.f64 (fma.f64 -1 (/.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))))) (pow.f64 v 4) (.f64 (.f64 v v) (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(fma.f64 (fma.f64 (/.f64 -1/2 (PI.f64)) (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (pow.f64 v 4) (-.f64 (.f64 v (.f64 v (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
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(fma.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 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (/.f64 (+.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 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)))) (/.f64 (fma.f64 (+.f64 (/.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 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) 1/162) (PI.f64))))) -4/3 (/.f64 1/27 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) 4/3)
(*.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) 4/3)
(+.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 (/.f64 (sqrt.f64 -1/6) (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 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) 4/3 (/.f64 (fma.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) 4/3 (/.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 (/.f64 (sqrt.f64 -1/6) (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 (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 7))))
(fma.f64 4/3 (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (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 (fma.f64 (+.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)))) 4/3 (/.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 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)) 1/162) (.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 (/.f64 (sqrt.f64 -1/6) (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 (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 7)))))
(fma.f64 4/3 (+.f64 (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (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 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7))) (/.f64 (fma.f64 (+.f64 (/.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 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) 1/162) (PI.f64))))) 4/3 (/.f64 -1/27 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)))
-1
(-.f64 (*.f64 -1 (pow.f64 v 2)) 1)
(fma.f64 -1 (*.f64 v v) -1)
(-.f64 -1 (*.f64 v v))
(-.f64 (+.f64 (.f64 -1 (pow.f64 v 2)) (.f64 -1 (pow.f64 v 4))) 1)
(+.f64 (fma.f64 -1 (*.f64 v v) (neg.f64 (pow.f64 v 4))) -1)
(fma.f64 -1 (fma.f64 v v (pow.f64 v 4)) -1)
(-.f64 -1 (fma.f64 v v (pow.f64 v 4)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 v 2)) (+.f64 (.f64 -1 (pow.f64 v 6)) (*.f64 -1 (pow.f64 v 4)))) 1)
(+.f64 (fma.f64 -1 (*.f64 v v) (fma.f64 -1 (pow.f64 v 6) (neg.f64 (pow.f64 v 4)))) -1)
(fma.f64 -1 (*.f64 v v) (fma.f64 -1 (+.f64 (pow.f64 v 4) (pow.f64 v 6)) -1))
(fma.f64 -1 (fma.f64 v v (+.f64 (pow.f64 v 4) (pow.f64 v 6))) -1)
(/.f64 1 (pow.f64 v 2))
(/.f64 1 (*.f64 v v))
(+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 2)))
(+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 4)))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 2))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 6))))
(+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 4))))
(+.f64 (/.f64 1 (*.f64 v v)) (+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 6))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 8)))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 8)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 4)))) (/.f64 1 (pow.f64 v 8)))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (*.f64 v v)) (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 8)))))
(/.f64 1 (pow.f64 v 2))
(/.f64 1 (*.f64 v v))
(+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 2)))
(+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 4)))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 2))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 6))))
(+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 4))))
(+.f64 (/.f64 1 (*.f64 v v)) (+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 6))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 8)))))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 8)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 v 6)) (+.f64 (/.f64 1 (*.f64 v v)) (/.f64 1 (pow.f64 v 4)))) (/.f64 1 (pow.f64 v 8)))
(+.f64 (/.f64 1 (pow.f64 v 4)) (+.f64 (/.f64 1 (*.f64 v v)) (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 8)))))

prune469.0ms (14.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	213	1	214

Error

Counts

214 → 1

Alt Table

Status

Error

Program

▶

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

Compiler

Compiled 6596 to 5223 computations (20.8% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
✓	0.0b	(/.f64 (/.f64 1 (fma.f64 v v -1)) (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
✓	1.0b	(exp.f64 (PI.f64))
✓	1.6b	(pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))

series15.0ms (0.5%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	v	@	0	(/.f64 (/.f64 1 (fma.f64 v v -1)) (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
3.0ms	v	@	0	(pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
2.0ms	v	@	inf	(/.f64 (/.f64 1 (fma.f64 v v -1)) (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
2.0ms	v	@	-inf	(/.f64 (/.f64 1 (fma.f64 v v -1)) (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))
1.0ms	v	@	0	(sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))

rewrite71.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
261×	`pow3_binary64`
259×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	365	29
2	4516	29

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

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

simplify72.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

803×	`associate-l_binary64`
788×	`fma-def_binary64`
434×	`associate-/l*_binary64`
432×	`associate-*l/_binary64`
423×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	3050
1	604	2865
2	2127	2525

Stop Event

1×	node limit

Counts

156 → 160

Calls

Call 1

Inputs
(exp.f64 (*.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))) (PI.f64))) (sqrt.f64 2))) (exp.f64 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 (pow.f64 v 4) (.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))) (PI.f64))) (sqrt.f64 2))) (exp.f64 (.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (.f64 (pow.f64 v 4) (.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))) (PI.f64))) (sqrt.f64 2))) (+.f64 (.f64 (pow.f64 v 6) (.f64 (+.f64 (.f64 -9/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 27/2 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 2) 4))))) (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))))) (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))))))
(exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64)))
(exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64)))
(exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64)))
(exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64)))
(exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64)))
(exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64)))
(exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64)))
(exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64)))
(/.f64 -1/2 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 2) (PI.f64))))))
(-.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 3/2 (/.f64 (PI.f64) (sqrt.f64 2))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (pow.f64 v 2)) (pow.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))))) 2))) (.f64 1/2 (/.f64 1 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 2) (PI.f64))))))))
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(/.f64 1/2 (.f64 (pow.f64 v 2) (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)) (PI.f64)))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 4)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 2)))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 4)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 2)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 6))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 8)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 4)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 2)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 6)))))))
(/.f64 1/2 (.f64 (pow.f64 v 2) (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)) (PI.f64)))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 4) (log.f64 (sqrt.f64 (exp.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))))))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 6)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 4) (log.f64 (sqrt.f64 (exp.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 8) (log.f64 (sqrt.f64 (exp.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))))))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))) (pow.f64 v 6)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 4) (log.f64 (sqrt.f64 (exp.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))))))))))))
(sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 2) (PI.f64))))
(+.f64 (.f64 -3/2 (.f64 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2)) (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 2) (PI.f64)))))
(+.f64 (.f64 -3/2 (.f64 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2)) (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (pow.f64 (.f64 -3/2 (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) 2)) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))))))) (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 -9/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (.f64 27/2 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 2) 4))))) (exp.f64 (.f64 (sqrt.f64 2) (PI.f64)))) (.f64 -3/2 (/.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (pow.f64 (.f64 -3/2 (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) 2)) (PI.f64)) (sqrt.f64 2)))) (pow.f64 v 6)) (sqrt.f64 (/.f64 1 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))))))) (+.f64 (.f64 -3/2 (.f64 (/.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2)) (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3))))) (pow.f64 (.f64 -3/2 (.f64 (/.f64 (PI.f64) (sqrt.f64 2)) (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64)))))) 2)) (pow.f64 v 4)) (sqrt.f64 (/.f64 1 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64))))))) (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (PI.f64)))))))
(sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))
(sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))
(sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))
(sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (PI.f64))))
(sqrt.f64 (exp.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(sqrt.f64 (exp.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(sqrt.f64 (exp.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))
(sqrt.f64 (exp.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))))

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

prune725.0ms (22.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	260	1	261

Error

Counts

261 → 1

Alt Table

Status

Error

Program

✓

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

Compiler

Compiled 11232 to 8928 computations (20.5% saved)

regimes15.0ms (0.5%)

Accuracy

Total -1.0b remaining (-∞%)

Threshold costs -1.0b (-∞%)

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Results

4.0ms	0b	`v`
2.0ms	0b	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
2.0ms	0b	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
2.0ms	0b	`(*.f64 v v)`

Compiler

Compiled 167 to 120 computations (28.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	55
1	24	55

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

end32.0ms (1%)

Stop Event

1×

done

Compiler

Compiled 70 to 54 computations (22.9% saved)

Details

analyze5.0ms (0.1%)

sample1.0s (31.5%)

preprocess47.0ms (1.5%)

simplify39.0ms (1.2%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

series11.0ms (0.4%)

rewrite66.0ms (2%)

simplify55.0ms (1.7%)

prune402.0ms (12.5%)

localize16.0ms (0.5%)

series6.0ms (0.2%)

rewrite72.0ms (2.2%)

simplify60.0ms (1.8%)

prune469.0ms (14.5%)

localize18.0ms (0.6%)

series15.0ms (0.5%)

rewrite71.0ms (2.2%)

simplify72.0ms (2.2%)

prune725.0ms (22.5%)

regimes15.0ms (0.5%)

simplify2.0ms (0.1%)

end32.0ms (1%)

Profiling