Details

analyze141.0ms (5.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 31 to 22 computations (29% saved)

sample1.2s (43.7%)

Results

1.2s	8256×	body	128	valid
1.0ms	11×	body	128	invalid

preprocess28.0ms (1%)

Algorithm

2×	egg-herbie

Rules

710×	`associate-/l*_binary64`
254×	`fma-def_binary64`
248×	`distribute-neg-frac_binary64`
237×	`associate-/l/_binary64`
232×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	86
1	102	86
2	363	76
3	1860	72
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))

(/.f64 (-.f64 1 (*.f64 5 (*.f64 t t))) (*.f64 (*.f64 (*.f64 (PI.f64) v) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 t t)))))) (-.f64 1 (*.f64 t t))))

Outputs
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))) (-.f64 1 (*.f64 v v)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (PI.f64) t)) (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 v v) -3) 2)))) (-.f64 1 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (PI.f64)) (.f64 t (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))) (-.f64 1 (*.f64 v v)))
(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 t (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
(/.f64 (-.f64 1 (.f64 5 (.f64 t t))) (.f64 (.f64 (.f64 (PI.f64) v) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 t t)))))) (-.f64 1 (*.f64 t t))))
(/.f64 (-.f64 1 (.f64 5 (.f64 t t))) (.f64 (.f64 v (PI.f64)) (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 -3 (.f64 t t))))) (-.f64 1 (*.f64 t t)))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 t (.f64 5 t))) (.f64 v (PI.f64))) (sqrt.f64 (+.f64 2 (.f64 2 (.f64 (.f64 t t) -3))))) (-.f64 1 (*.f64 t t)))
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 t t) -5 1) (PI.f64)) v) (sqrt.f64 (+.f64 2 (.f64 (.f64 t t) -6)))) (-.f64 1 (.f64 t t)))
(/.f64 (/.f64 (fma.f64 t (.f64 t -5) 1) (.f64 (PI.f64) (.f64 v (sqrt.f64 (fma.f64 (.f64 t t) -6 2))))) (neg.f64 (fma.f64 t t -1)))

Compiler

Compiled 30 to 21 computations (30% saved)

simplify16.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
467×	`associate-/r*_binary64`
351×	`associate-/l*_binary64`
245×	`associate-l_binary64`
222×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	190	38
3	949	36

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))

Outputs
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 -3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))) (-.f64 1 (*.f64 v v)))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))) (-.f64 1 (.f64 v v))))
(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))

Status

Error

Program

▶

0.4b

(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))

0.4b

(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 166 to 113 computations (31.9% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
✓	0.3b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))

series16.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))
2.0ms	v	@	inf	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))
2.0ms	t	@	0	(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
2.0ms	v	@	0	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))
1.0ms	v	@	-inf	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))

rewrite64.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`
157×	`add-sqr-sqrt_binary64`
149×	`*-un-lft-identity_binary64`
149×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	324	44
2	3890	44

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 v (.f64 v -5) 1) (/.f64 1 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 2)) (.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (/.f64 1 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) 2) (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (/.f64 1 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 v (.f64 v -5) 1)) (/.f64 1 (.f64 (neg.f64 (.f64 t (PI.f64))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))) (fma.f64 v (.f64 v -5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (/.f64 1 (.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 (.f64 v -5) 1) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 t) (/.f64 (fma.f64 v (.f64 v -5) 1) (.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 (.f64 v -5) 1) 2)) t) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) t) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 (fma.f64 v (.f64 v -5) 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 2)) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))) 2))) (/.f64 (fma.f64 v (.f64 v -5) 1) (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 2)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))) 2))) (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))) 2))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 2)) (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 t (PI.f64))) (/.f64 (fma.f64 v (.f64 v -5) 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 (.f64 v -5) 1) 2)) (.f64 t (PI.f64))) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 t (PI.f64))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))) (fma.f64 v (.f64 v -5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (neg.f64 (.f64 t (PI.f64))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 3) (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 t 3) (pow.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))) 2) (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))) (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 v (*.f64 v -5) 1)) (/.f64 1 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(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))) 2))) (/.f64 (fma.f64 v (*.f64 v -5) 1) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 2)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))) 2))) (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))) 2))) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))) (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (*.f64 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(*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))) (fma.f64 v (*.f64 v -5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (neg.f64 (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 3) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 t (PI.f64))))) 1))))))

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

simplify55.0ms (2%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-def_binary64`
782×	`associate-/l*_binary64`
280×	`associate-/l/_binary64`
217×	`associate-/r*_binary64`
162×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2079
1	639	2000
2	2590	1929

Stop Event

1×	node limit

Counts

106 → 109

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (pow.f64 v 2)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 15/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 4)) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 2))))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 15/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 4)) (+.f64 (.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) (.f64 t (PI.f64))))) (.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 6)) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 2)))))
(.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (*.f64 t (PI.f64))))
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Outputs
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(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))))
(.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (fma.f64 v (.f64 v -6) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))))
(.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (fma.f64 v (.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 -6 (*.f64 v v) 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
(.f64 (sqrt.f64 2) (.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 2))
(.f64 t (.f64 (PI.f64) (sqrt.f64 2)))
(+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (.f64 t (PI.f64))) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(fma.f64 -3 (/.f64 (.f64 (.f64 t (PI.f64)) (.f64 v v)) (sqrt.f64 2)) (.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)))
(fma.f64 (.f64 t (PI.f64)) (sqrt.f64 2) (/.f64 (.f64 (.f64 v v) -3) (/.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))
(fma.f64 t (.f64 (PI.f64) (sqrt.f64 2)) (/.f64 (.f64 v v) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -3)))
(+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (.f64 t (PI.f64))) (sqrt.f64 2))) (+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 v 4) (.f64 t (PI.f64))) (pow.f64 (sqrt.f64 2) 3))) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))
(fma.f64 -3 (/.f64 (.f64 (.f64 t (PI.f64)) (.f64 v v)) (sqrt.f64 2)) (fma.f64 -9/2 (/.f64 (.f64 (.f64 t (PI.f64)) (pow.f64 v 4)) (pow.f64 (sqrt.f64 2) 3)) (.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))
(fma.f64 -3 (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 t (PI.f64))) (fma.f64 (.f64 t (PI.f64)) (sqrt.f64 2) (.f64 -9/4 (/.f64 (.f64 (*.f64 t (PI.f64)) (pow.f64 v 4)) (sqrt.f64 2)))))
(fma.f64 t (.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 -9/4 (/.f64 (pow.f64 v 4) (/.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (.f64 v v) (/.f64 (/.f64 (sqrt.f64 2) (.f64 t (PI.f64))) -3))))
(+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 v 2) (.f64 t (PI.f64))) (sqrt.f64 2))) (+.f64 (.f64 -9/2 (/.f64 (.f64 (pow.f64 v 4) (.f64 t (PI.f64))) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 -27/2 (/.f64 (.f64 (pow.f64 v 6) (.f64 t (PI.f64))) (pow.f64 (sqrt.f64 2) 5))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(fma.f64 -3 (/.f64 (.f64 (.f64 t (PI.f64)) (.f64 v v)) (sqrt.f64 2)) (fma.f64 -9/2 (/.f64 (.f64 (.f64 t (PI.f64)) (pow.f64 v 4)) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 -27/2 (/.f64 (.f64 (.f64 t (PI.f64)) (pow.f64 v 6)) (pow.f64 (sqrt.f64 2) 5)) (.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)))))
(+.f64 (fma.f64 (.f64 t (PI.f64)) (sqrt.f64 2) (.f64 -27/2 (/.f64 (.f64 t (PI.f64)) (/.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 v 6))))) (fma.f64 -3 (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 t (PI.f64))) (.f64 -9/4 (/.f64 (.f64 (*.f64 t (PI.f64)) (pow.f64 v 4)) (sqrt.f64 2)))))
(fma.f64 -3 (.f64 (/.f64 t (/.f64 (sqrt.f64 2) (PI.f64))) (.f64 v v)) (fma.f64 -9/4 (/.f64 (pow.f64 v 4) (/.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 t (.f64 (PI.f64) (sqrt.f64 2)) (.f64 -27/2 (/.f64 (.f64 t (PI.f64)) (/.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 v 6)))))))
(.f64 (sqrt.f64 -6) (.f64 v (*.f64 t (PI.f64))))
(.f64 v (.f64 (*.f64 t (PI.f64)) (sqrt.f64 -6)))
(.f64 (.f64 t (*.f64 (PI.f64) v)) (sqrt.f64 -6))
(+.f64 (/.f64 (.f64 t (PI.f64)) (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) (.f64 v (*.f64 t (PI.f64)))))
(+.f64 (.f64 v (.f64 (.f64 t (PI.f64)) (sqrt.f64 -6))) (.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6))))
(fma.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 (.f64 t (*.f64 (PI.f64) v)) (sqrt.f64 -6)))
(.f64 (PI.f64) (+.f64 (.f64 v (.f64 t (sqrt.f64 -6))) (/.f64 t (.f64 v (sqrt.f64 -6)))))
(+.f64 (/.f64 (.f64 t (PI.f64)) (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 t (PI.f64)) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (.f64 (sqrt.f64 -6) (.f64 v (.f64 t (PI.f64))))))
(+.f64 (.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (.f64 t (PI.f64)) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (.f64 v (.f64 (.f64 t (PI.f64)) (sqrt.f64 -6)))))
(fma.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6)) (fma.f64 v (.f64 t (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 -1/2 (.f64 (/.f64 t (*.f64 -6 (sqrt.f64 -6))) (/.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 -1/2 (.f64 (/.f64 t (.f64 -6 (sqrt.f64 -6))) (/.f64 (PI.f64) (pow.f64 v 3))) (.f64 (PI.f64) (+.f64 (.f64 v (.f64 t (sqrt.f64 -6))) (/.f64 t (.f64 v (sqrt.f64 -6))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 t (PI.f64)) (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (+.f64 (/.f64 (.f64 t (PI.f64)) (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 t (PI.f64)) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (.f64 (sqrt.f64 -6) (.f64 v (*.f64 t (PI.f64)))))))
(fma.f64 1/2 (.f64 (/.f64 t (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 v 5))) (+.f64 (.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 -1/2 (/.f64 (.f64 t (PI.f64)) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (.f64 v (.f64 (*.f64 t (PI.f64)) (sqrt.f64 -6))))))
(fma.f64 1/2 (.f64 (/.f64 t (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 v 5))) (fma.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6)) (fma.f64 v (.f64 t (.f64 (PI.f64) (sqrt.f64 -6))) (.f64 -1/2 (.f64 (/.f64 t (.f64 -6 (sqrt.f64 -6))) (/.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 1/2 (.f64 (/.f64 t (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 v 5))) (fma.f64 -1/2 (.f64 (/.f64 t (.f64 -6 (sqrt.f64 -6))) (/.f64 (PI.f64) (pow.f64 v 3))) (.f64 (PI.f64) (+.f64 (.f64 v (.f64 t (sqrt.f64 -6))) (/.f64 t (*.f64 v (sqrt.f64 -6)))))))
(.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (.f64 t (PI.f64)))))
(neg.f64 (.f64 v (.f64 (*.f64 t (PI.f64)) (sqrt.f64 -6))))
(.f64 (.f64 (neg.f64 v) (sqrt.f64 -6)) (*.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (*.f64 (sqrt.f64 -6) (neg.f64 v)))
(+.f64 (.f64 -1 (/.f64 (.f64 t (PI.f64)) (.f64 (sqrt.f64 -6) v))) (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (*.f64 t (PI.f64))))))
(.f64 -1 (+.f64 (.f64 v (.f64 (.f64 t (PI.f64)) (sqrt.f64 -6))) (*.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6)))))
(neg.f64 (fma.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 (.f64 t (*.f64 (PI.f64) v)) (sqrt.f64 -6))))
(neg.f64 (.f64 (PI.f64) (+.f64 (.f64 v (.f64 t (sqrt.f64 -6))) (/.f64 t (.f64 v (sqrt.f64 -6))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 t (PI.f64)) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 t (PI.f64)) (.f64 (sqrt.f64 -6) v))) (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (.f64 t (PI.f64)))))))
(fma.f64 1/2 (/.f64 (.f64 t (PI.f64)) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (.f64 -1 (+.f64 (.f64 v (.f64 (.f64 t (PI.f64)) (sqrt.f64 -6))) (*.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6))))))
(fma.f64 1/2 (.f64 (/.f64 t (.f64 -6 (sqrt.f64 -6))) (/.f64 (PI.f64) (pow.f64 v 3))) (neg.f64 (fma.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 (.f64 t (*.f64 (PI.f64) v)) (sqrt.f64 -6)))))
(-.f64 (.f64 (/.f64 1/2 (pow.f64 v 3)) (.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 t -6))) (.f64 (PI.f64) (+.f64 (.f64 v (.f64 t (sqrt.f64 -6))) (/.f64 t (.f64 v (sqrt.f64 -6))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 t (PI.f64)) (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 t (PI.f64)) (.f64 (sqrt.f64 -6) v))) (+.f64 (.f64 -1 (.f64 v (.f64 (sqrt.f64 -6) (.f64 t (PI.f64))))) (.f64 -1/2 (/.f64 (.f64 t (PI.f64)) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))))
(fma.f64 1/2 (/.f64 (.f64 t (PI.f64)) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 -1 (.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 -1 (.f64 v (.f64 (.f64 t (PI.f64)) (sqrt.f64 -6))) (/.f64 (.f64 -1/2 (.f64 t (PI.f64))) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))))
(fma.f64 1/2 (.f64 (/.f64 t (.f64 -6 (sqrt.f64 -6))) (/.f64 (PI.f64) (pow.f64 v 3))) (fma.f64 -1 (fma.f64 (/.f64 t v) (/.f64 (PI.f64) (sqrt.f64 -6)) (.f64 (.f64 t (.f64 (PI.f64) v)) (sqrt.f64 -6))) (.f64 -1/2 (*.f64 (/.f64 t (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 v 5))))))
(fma.f64 1/2 (.f64 (/.f64 t (.f64 -6 (sqrt.f64 -6))) (/.f64 (PI.f64) (pow.f64 v 3))) (-.f64 (.f64 -1/2 (.f64 (/.f64 t (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 v 5)))) (.f64 (PI.f64) (+.f64 (.f64 v (.f64 t (sqrt.f64 -6))) (/.f64 t (.f64 v (sqrt.f64 -6)))))))

prune128.0ms (4.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	106	5	111

Error

0.0b

Counts

111 → 5

Alt Table

Status	Error	Program
	0.7b	(/.f64 (.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (fma.f64 v (.f64 v -6) 2)))) (-.f64 1 (*.f64 v v)))
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
	0.4b	(/.f64 (.f64 (/.f64 1 (.f64 t (PI.f64))) (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (-.f64 1 (*.f64 v v)))
▶	0.3b	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (-.f64 1 (*.f64 v v)))
	32.1b	(/.f64 (.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64))))) (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (PI.f64)))))) (-.f64 1 (.f64 v v)))

Compiler

Compiled 4480 to 2998 computations (33.1% saved)

localize16.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 v (*.f64 v -5) 1) t)
✓	0.0b	(/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
✓	0.3b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))

New

Error

Program

✓

0.0b

(/.f64 (fma.f64 v (*.f64 v -5) 1) t)

✓

0.0b

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

✓

0.3b

(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))

series11.0ms (0.4%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
1.0ms	t	@	0	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
1.0ms	v	@	0	(/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
1.0ms	v	@	inf	(/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
1.0ms	v	@	-inf	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))

rewrite65.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

297×	`log1p-udef_binary64`
174×	`add-sqr-sqrt_binary64`
165×	`*-un-lft-identity_binary64`
165×	`pow1_binary64`
161×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	357	55
2	4517	55

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

Inputs
(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))
(/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(/.f64 (fma.f64 v (*.f64 v -5) 1) t)

Inputs

(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))

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

(/.f64 (fma.f64 v (*.f64 v -5) 1) t)

Outputs
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Outputs

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simplify51.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

829×	`times-frac_binary64`
687×	`fma-def_binary64`
264×	`associate-/l/_binary64`
219×	`associate-/r*_binary64`
109×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2267
1	584	2153
2	2286	2067

Stop Event

1×	node limit

Counts

183 → 178

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (pow.f64 v 2)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 15/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 4)) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 2))))
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(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
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(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))))
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(/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))
(-.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
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(/.f64 1 t)
(+.f64 (*.f64 -5 (/.f64 (pow.f64 v 2) t)) (/.f64 1 t))
(+.f64 (*.f64 -5 (/.f64 (pow.f64 v 2) t)) (/.f64 1 t))
(+.f64 (*.f64 -5 (/.f64 (pow.f64 v 2) t)) (/.f64 1 t))
(*.f64 -5 (/.f64 (pow.f64 v 2) t))
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(+.f64 (*.f64 -5 (/.f64 (pow.f64 v 2) t)) (/.f64 1 t))
(+.f64 (*.f64 -5 (/.f64 (pow.f64 v 2) t)) (/.f64 1 t))
(*.f64 -5 (/.f64 (pow.f64 v 2) t))
(+.f64 (*.f64 -5 (/.f64 (pow.f64 v 2) t)) (/.f64 1 t))
(+.f64 (*.f64 -5 (/.f64 (pow.f64 v 2) t)) (/.f64 1 t))
(+.f64 (*.f64 -5 (/.f64 (pow.f64 v 2) t)) (/.f64 1 t))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) t)

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

prune211.0ms (7.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	178	5	183

Error

Counts

183 → 5

Alt Table

Status	Error	Program
	0.7b	(/.f64 (.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (fma.f64 v (.f64 v -6) 2)))) (-.f64 1 (*.f64 v v)))
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
✓	0.3b	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (-.f64 1 (*.f64 v v)))
▶	0.1b	(/.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) t) (-.f64 1 (.f64 v v)))
	0.1b	(/.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 t (fma.f64 v (.f64 v -5) 1))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 6510 to 4509 computations (30.7% saved)

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
✓	0.1b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) t)

series5.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
1.0ms	v	@	0	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
1.0ms	v	@	-inf	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
1.0ms	v	@	0	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) t)
1.0ms	v	@	inf	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) t)

rewrite63.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`
162×	`add-sqr-sqrt_binary64`
154×	`*-un-lft-identity_binary64`
154×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	331	51
2	4179	51

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) t)
(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 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2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (/.f64 (fma.f64 v (*.f64 v -5) 1) (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 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simplify50.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

905×	`fma-def_binary64`
725×	`times-frac_binary64`
267×	`associate-/r*_binary64`
195×	`cancel-sign-sub-inv_binary64`
116×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2220
1	692	2122
2	2684	2112

Stop Event

1×	node limit

Counts

116 → 128

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (pow.f64 v 2)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 15/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 4)) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 2))))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 15/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 4)) (+.f64 (.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) (.f64 t (PI.f64))))) (.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 6)) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 2)))))
(.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (*.f64 t (PI.f64))))
(+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (.f64 t (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))) (/.f64 5/36 (.f64 v (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))))
(-.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 v (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (.f64 t (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64))))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(-.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 v (.f64 t (.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 5) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (.f64 t (PI.f64)))) (+.f64 (.f64 5/2 (/.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 5) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64))))))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (*.f64 t (PI.f64))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))) v)) (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (.f64 t (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))) v)) (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (*.f64 t (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))) v)) (+.f64 (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (.f64 t (PI.f64)))) (.f64 -1 (/.f64 (+.f64 (.f64 5/2 (/.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 t (.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 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -5 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -5 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 15/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -5 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 15/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 6) (+.f64 (.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (/.f64 5/36 (.f64 v (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (+.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 5/36 (/.f64 1 (.f64 v (.f64 (sqrt.f64 -1/6) (PI.f64)))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
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Outputs
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(fma.f64 v (.f64 v (fma.f64 -5 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 (pow.f64 v 4) (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 -15/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (fma.f64 (pow.f64 v 6) (fma.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (fma.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2) -3/4 27/2) (PI.f64)) (.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64)))
(*.f64 -5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (/.f64 5/36 (.f64 v (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 5/36 (.f64 (*.f64 v (sqrt.f64 -1/6)) (PI.f64)))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 5/36 (.f64 v (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (+.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 5/36 (/.f64 1 (.f64 v (.f64 (sqrt.f64 -1/6) (PI.f64)))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (-.f64 (fma.f64 -5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 3))) (/.f64 5/36 (.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))))) (/.f64 1/36 (.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 3)))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (+.f64 (fma.f64 -5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (/.f64 5/36 (.f64 v (.f64 (PI.f64) (sqrt.f64 -1/6)))))) (/.f64 -1/36 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (+.f64 (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (/.f64 5/36 (.f64 v (.f64 (PI.f64) (sqrt.f64 -1/6))))) (fma.f64 -5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (+.f64 (.f64 5/2 (/.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 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (+.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (.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 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 5/36 (/.f64 1 (.f64 v (.f64 (sqrt.f64 -1/6) (PI.f64)))))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (-.f64 (fma.f64 5/2 (/.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 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (fma.f64 -5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 3))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 5/36 (.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))))))) (/.f64 1/36 (.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 3)))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (+.f64 (fma.f64 5/2 (/.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) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (fma.f64 -5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 5/36 (.f64 v (.f64 (PI.f64) (sqrt.f64 -1/6)))))))) (/.f64 -1/36 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (+.f64 (/.f64 (/.f64 (fma.f64 5/2 (/.f64 (fma.f64 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/36 1/1944) -1/6) 5/324) (.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 5)) (+.f64 (+.f64 (+.f64 (fma.f64 -5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 5/36 (.f64 v (.f64 (PI.f64) (sqrt.f64 -1/6))))) (/.f64 (fma.f64 5/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 5/108) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/2 -1/108) (.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 5))) (/.f64 -1/36 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))))
(.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64)))
(*.f64 5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))))
(+.f64 (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v)))
(fma.f64 5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (+.f64 (/.f64 5/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v)))
(-.f64 (.f64 5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (+.f64 (/.f64 5/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v))
(+.f64 (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.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 3))) (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v))))
(fma.f64 5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.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 3)) (neg.f64 (/.f64 (+.f64 (/.f64 5/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v))))
(-.f64 (-.f64 (.f64 5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (fma.f64 5/2 (/.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 3))) (/.f64 (+.f64 (/.f64 5/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v))
(-.f64 (.f64 5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (+.f64 (/.f64 5/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v) (/.f64 (fma.f64 (/.f64 5/2 (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 3))))
(+.f64 (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/2 (/.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 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.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 3))) (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v)))))
(fma.f64 5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (fma.f64 5/2 (/.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 -1/2 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (fma.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.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 3)) (neg.f64 (/.f64 (+.f64 (/.f64 5/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v)))))
(fma.f64 5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6))) (-.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 5/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) v) (/.f64 (fma.f64 5/2 (/.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 3))) (/.f64 (fma.f64 5/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (*.f64 (/.f64 -1/2 (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)))) (pow.f64 v 5))))
(-.f64 (-.f64 (.f64 5 (/.f64 v (/.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (+.f64 (/.f64 5/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v) (/.f64 (fma.f64 (/.f64 5/2 (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 -1/36 (.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 3)))) (/.f64 (+.f64 (/.f64 (fma.f64 5/2 (/.f64 (fma.f64 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/36 1/1944) -1/6) 5/324) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (fma.f64 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/2 -1/108) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)))

prune141.0ms (5.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	128	5	133

Error

Counts

133 → 5

Alt Table

Status	Error	Program
	0.7b	(/.f64 (.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (fma.f64 v (.f64 v -6) 2)))) (-.f64 1 (*.f64 v v)))
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
✓	0.3b	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (-.f64 1 (*.f64 v v)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) t) (-.f64 1 (.f64 v v)))
▶	0.1b	(/.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 t (fma.f64 v (.f64 v -5) 1))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 5470 to 3892 computations (28.8% saved)

localize17.0ms (0.6%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(/.f64 t (fma.f64 v (*.f64 v -5) 1))

✓

0.0b

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

✓

0.1b

(/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 t (fma.f64 v (*.f64 v -5) 1)))

series10.0ms (0.4%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 t (fma.f64 v (.f64 v -5) 1)))
1.0ms	v	@	inf	(/.f64 t (fma.f64 v (*.f64 v -5) 1))
1.0ms	t	@	0	(/.f64 t (fma.f64 v (*.f64 v -5) 1))
1.0ms	t	@	-inf	(/.f64 t (fma.f64 v (*.f64 v -5) 1))
1.0ms	v	@	0	(/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 t (fma.f64 v (.f64 v -5) 1)))

rewrite71.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

180×	`add-sqr-sqrt_binary64`
171×	`*-un-lft-identity_binary64`
171×	`pow1_binary64`
167×	`add-cbrt-cube_binary64`
167×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	58
1	365	53
2	4832	53

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs

(/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 t (fma.f64 v (*.f64 v -5) 1)))

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

(/.f64 t (fma.f64 v (*.f64 v -5) 1))

Outputs

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simplify55.0ms (2%)

Algorithm

1×	egg-herbie

Rules

873×	`times-frac_binary64`
850×	`fma-def_binary64`
227×	`associate-/r*_binary64`
117×	`*-commutative_binary64`
109×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	2385
1	658	2267
2	2508	2214

Stop Event

1×	node limit

Counts

179 → 184

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (pow.f64 v 2)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 15/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 4)) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 2))))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 15/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 4)) (+.f64 (.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) (.f64 t (PI.f64))))) (.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 6)) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 2)))))
(.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (*.f64 t (PI.f64))))
(+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (.f64 t (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))) (/.f64 5/36 (.f64 v (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))))
(-.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 v (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (.f64 t (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64))))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(-.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 v (.f64 t (.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 5) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (.f64 t (PI.f64)))) (+.f64 (.f64 5/2 (/.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 5) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64))))))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (*.f64 t (PI.f64))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))) v)) (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (.f64 t (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))) v)) (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (*.f64 t (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))) v)) (+.f64 (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (.f64 t (PI.f64)))) (.f64 -1 (/.f64 (+.f64 (.f64 5/2 (/.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 t (.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 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -6 (pow.f64 v 2)) 2))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))
(-.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (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 7) (.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 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (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 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
t
(+.f64 (.f64 5 (.f64 (pow.f64 v 2) t)) t)
(+.f64 (.f64 5 (.f64 (pow.f64 v 2) t)) (+.f64 t (.f64 25 (.f64 (pow.f64 v 4) t))))
(+.f64 (.f64 5 (.f64 (pow.f64 v 2) t)) (+.f64 (.f64 125 (.f64 (pow.f64 v 6) t)) (+.f64 t (.f64 25 (.f64 (pow.f64 v 4) t)))))
(*.f64 -1/5 (/.f64 t (pow.f64 v 2)))
(+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (.f64 -1/5 (/.f64 t (pow.f64 v 2))))
(+.f64 (.f64 -1/125 (/.f64 t (pow.f64 v 6))) (+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (*.f64 -1/5 (/.f64 t (pow.f64 v 2)))))
(+.f64 (.f64 -1/625 (/.f64 t (pow.f64 v 8))) (+.f64 (.f64 -1/125 (/.f64 t (pow.f64 v 6))) (+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (.f64 -1/5 (/.f64 t (pow.f64 v 2))))))
(*.f64 -1/5 (/.f64 t (pow.f64 v 2)))
(+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (.f64 -1/5 (/.f64 t (pow.f64 v 2))))
(+.f64 (.f64 -1/125 (/.f64 t (pow.f64 v 6))) (+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (*.f64 -1/5 (/.f64 t (pow.f64 v 2)))))
(+.f64 (.f64 -1/625 (/.f64 t (pow.f64 v 8))) (+.f64 (.f64 -1/125 (/.f64 t (pow.f64 v 6))) (+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (.f64 -1/5 (/.f64 t (pow.f64 v 2))))))

Outputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (pow.f64 v 2)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (.f64 (fma.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 v v)))
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) -5 (/.f64 3/4 (.f64 t (.f64 (sqrt.f64 1/2) (PI.f64))))) (.f64 v v) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 15/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 4)) (.f64 (+.f64 (.f64 -5 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (pow.f64 v 2))))
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(.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (*.f64 t (PI.f64))))
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(.f64 (/.f64 v t) (.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) -5))
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(fma.f64 -5 (.f64 (/.f64 v t) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (.f64 t (PI.f64)) v)) (/.f64 5/36 (.f64 v (.f64 (.f64 t (PI.f64)) (sqrt.f64 -1/6))))))
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(/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))
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(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (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 7) (.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 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
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(/.f64 (neg.f64 (sqrt.f64 -1/6)) (*.f64 (PI.f64) v))
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(-.f64 (/.f64 1/36 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)))
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(-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 1/36 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)))
(+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/108) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (-.f64 (/.f64 1/36 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))))
(+.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 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)) 1/162) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 1/36 (.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 3))))))
(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) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 1/36 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))))
(+.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/36 1/1944) -1/6) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (-.f64 (/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) 1/108) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)))) (/.f64 1/36 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
(/.f64 t (+.f64 1 (*.f64 -5 (pow.f64 v 2))))
(/.f64 t (+.f64 1 (.f64 -5 (.f64 v v))))
(/.f64 t (fma.f64 -5 (*.f64 v v) 1))
t
(+.f64 (.f64 5 (.f64 (pow.f64 v 2) t)) t)
(fma.f64 5 (.f64 t (.f64 v v)) t)
(fma.f64 (.f64 v v) (.f64 t 5) t)
(+.f64 (.f64 5 (.f64 (pow.f64 v 2) t)) (+.f64 t (.f64 25 (.f64 (pow.f64 v 4) t))))
(+.f64 (fma.f64 5 (.f64 t (.f64 v v)) t) (.f64 25 (.f64 t (pow.f64 v 4))))
(fma.f64 5 (.f64 t (.f64 v v)) (fma.f64 25 (*.f64 t (pow.f64 v 4)) t))
(.f64 t (+.f64 (.f64 (*.f64 v v) 5) (fma.f64 (pow.f64 v 4) 25 1)))
(+.f64 (.f64 5 (.f64 (pow.f64 v 2) t)) (+.f64 (.f64 125 (.f64 (pow.f64 v 6) t)) (+.f64 t (.f64 25 (.f64 (pow.f64 v 4) t)))))
(fma.f64 5 (.f64 t (.f64 v v)) (fma.f64 125 (.f64 t (pow.f64 v 6)) (+.f64 t (.f64 25 (*.f64 t (pow.f64 v 4))))))
(fma.f64 5 (.f64 t (.f64 v v)) (fma.f64 125 (.f64 t (pow.f64 v 6)) (fma.f64 25 (.f64 t (pow.f64 v 4)) t)))
(fma.f64 t (fma.f64 (.f64 v v) 5 (.f64 (pow.f64 v 6) 125)) (*.f64 (fma.f64 (pow.f64 v 4) 25 1) t))
(*.f64 -1/5 (/.f64 t (pow.f64 v 2)))
(.f64 -1/5 (/.f64 t (.f64 v v)))
(*.f64 (/.f64 -1/5 v) (/.f64 t v))
(+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (.f64 -1/5 (/.f64 t (pow.f64 v 2))))
(fma.f64 -1/25 (/.f64 t (pow.f64 v 4)) (.f64 -1/5 (/.f64 t (.f64 v v))))
(fma.f64 -1/5 (/.f64 t (.f64 v v)) (.f64 -1/25 (/.f64 t (pow.f64 v 4))))
(.f64 (/.f64 t (.f64 v v)) (+.f64 (/.f64 -1/25 (*.f64 v v)) -1/5))
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(fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (fma.f64 -1/25 (/.f64 t (pow.f64 v 4)) (.f64 -1/5 (/.f64 t (.f64 v v)))))
(fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (fma.f64 -1/5 (/.f64 t (.f64 v v)) (.f64 -1/25 (/.f64 t (pow.f64 v 4)))))
(fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (.f64 (/.f64 t (.f64 v v)) (+.f64 (/.f64 -1/25 (*.f64 v v)) -1/5)))
(+.f64 (.f64 -1/625 (/.f64 t (pow.f64 v 8))) (+.f64 (.f64 -1/125 (/.f64 t (pow.f64 v 6))) (+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (.f64 -1/5 (/.f64 t (pow.f64 v 2))))))
(fma.f64 -1/625 (/.f64 t (pow.f64 v 8)) (fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (fma.f64 -1/25 (/.f64 t (pow.f64 v 4)) (.f64 -1/5 (/.f64 t (.f64 v v))))))
(fma.f64 -1/625 (/.f64 t (pow.f64 v 8)) (fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (fma.f64 -1/5 (/.f64 t (.f64 v v)) (.f64 -1/25 (/.f64 t (pow.f64 v 4))))))
(fma.f64 -1/625 (/.f64 t (pow.f64 v 8)) (fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (.f64 (/.f64 t (.f64 v v)) (+.f64 (/.f64 -1/25 (*.f64 v v)) -1/5))))
(*.f64 -1/5 (/.f64 t (pow.f64 v 2)))
(.f64 -1/5 (/.f64 t (.f64 v v)))
(*.f64 (/.f64 -1/5 v) (/.f64 t v))
(+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (.f64 -1/5 (/.f64 t (pow.f64 v 2))))
(fma.f64 -1/25 (/.f64 t (pow.f64 v 4)) (.f64 -1/5 (/.f64 t (.f64 v v))))
(fma.f64 -1/5 (/.f64 t (.f64 v v)) (.f64 -1/25 (/.f64 t (pow.f64 v 4))))
(.f64 (/.f64 t (.f64 v v)) (+.f64 (/.f64 -1/25 (*.f64 v v)) -1/5))
(+.f64 (.f64 -1/125 (/.f64 t (pow.f64 v 6))) (+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (*.f64 -1/5 (/.f64 t (pow.f64 v 2)))))
(fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (fma.f64 -1/25 (/.f64 t (pow.f64 v 4)) (.f64 -1/5 (/.f64 t (.f64 v v)))))
(fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (fma.f64 -1/5 (/.f64 t (.f64 v v)) (.f64 -1/25 (/.f64 t (pow.f64 v 4)))))
(fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (.f64 (/.f64 t (.f64 v v)) (+.f64 (/.f64 -1/25 (*.f64 v v)) -1/5)))
(+.f64 (.f64 -1/625 (/.f64 t (pow.f64 v 8))) (+.f64 (.f64 -1/125 (/.f64 t (pow.f64 v 6))) (+.f64 (.f64 -1/25 (/.f64 t (pow.f64 v 4))) (.f64 -1/5 (/.f64 t (pow.f64 v 2))))))
(fma.f64 -1/625 (/.f64 t (pow.f64 v 8)) (fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (fma.f64 -1/25 (/.f64 t (pow.f64 v 4)) (.f64 -1/5 (/.f64 t (.f64 v v))))))
(fma.f64 -1/625 (/.f64 t (pow.f64 v 8)) (fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (fma.f64 -1/5 (/.f64 t (.f64 v v)) (.f64 -1/25 (/.f64 t (pow.f64 v 4))))))
(fma.f64 -1/625 (/.f64 t (pow.f64 v 8)) (fma.f64 -1/125 (/.f64 t (pow.f64 v 6)) (.f64 (/.f64 t (.f64 v v)) (+.f64 (/.f64 -1/25 (*.f64 v v)) -1/5))))

prune180.0ms (6.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	184	5	189

Error

Counts

189 → 5

Alt Table

Status	Error	Program
	0.7b	(/.f64 (.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (fma.f64 v (.f64 v -6) 2)))) (-.f64 1 (*.f64 v v)))
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (-.f64 1 (*.f64 v v)))
✓	0.3b	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (/.f64 1 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) (-.f64 1 (*.f64 v v)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) t) (-.f64 1 (.f64 v v)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 t (fma.f64 v (.f64 v -5) 1))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 6999 to 4880 computations (30.3% saved)

regimes93.0ms (3.3%)

Accuracy

Total -46.2b remaining (-47305.8%)

Threshold costs -46.2b (-47305.8%)

Counts

27 → 1

Compiler

Compiled 770 to 488 computations (36.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	29	36
2	36	36
3	40	36
4	42	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) t) (-.f64 1 (.f64 v v)))

Outputs
(/.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) t) (-.f64 1 (.f64 v v)))

end44.0ms (1.6%)

Stop Event

1×

fuel

Compiler

Compiled 52 to 38 computations (26.9% saved)

Details

analyze141.0ms (5.1%)

sample1.2s (43.7%)

preprocess28.0ms (1%)

simplify16.0ms (0.6%)

prune4.0ms (0.1%)

localize13.0ms (0.5%)

series16.0ms (0.6%)

rewrite64.0ms (2.3%)

simplify55.0ms (2%)

prune128.0ms (4.6%)

localize16.0ms (0.6%)

series11.0ms (0.4%)

rewrite65.0ms (2.4%)

simplify51.0ms (1.8%)

prune211.0ms (7.6%)

localize14.0ms (0.5%)

series5.0ms (0.2%)

rewrite63.0ms (2.3%)

simplify50.0ms (1.8%)

prune141.0ms (5.1%)

localize17.0ms (0.6%)

series10.0ms (0.4%)

rewrite71.0ms (2.6%)

simplify55.0ms (2%)

prune180.0ms (6.5%)

regimes93.0ms (3.3%)

simplify3.0ms (0.1%)

end44.0ms (1.6%)

Profiling