Details

analyze143.0ms (1.4%)

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

Compiler

Compiled 31 to 22 computations (29% saved)

sample1.9s (19.3%)

Results

1.9s	8256×	body	256	valid
2.0ms	13×	body	256	invalid

preprocess57.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

709×	`associate-/l*_binary64`
541×	`associate-l_binary64`
493×	`associate-r_binary64`
440×	`associate-*l/_binary64`
326×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	86
1	102	86
2	363	76
3	1859	72
4	7870	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 -5 v) v)) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6)))) (-.f64 1 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.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 (.f64 -5 t) t)) (.f64 v (PI.f64))) (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 t) t) 2)))) (-.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) (PI.f64)) (.f64 (sqrt.f64 (fma.f64 (.f64 -6 t) t 2)) (.f64 v (fma.f64 t (neg.f64 t) 1))))

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
719×	`distribute-neg-frac_binary64`
592×	`fma-def_binary64`
466×	`associate-/r*_binary64`
411×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	190	38
3	947	36
4	5124	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 (.f64 v v) -5)) (.f64 t (.f64 (PI.f64) (.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 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 t (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (-.f64 1 (.f64 v v))))))
(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))

eval1.0ms (0%)

Compiler: Compiled 54 to 35 computations (35.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(/.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))))
▶	0.6b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))

Status

Error

Program

▶

0.6b

(/.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))))

▶

0.6b

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

Compiler

Compiled 56 to 39 computations (30.4% saved)

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 v v))
✓	0.3b	(*.f64 (PI.f64) t)
✓	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))))
✓	0.5b	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

Compiler

Compiled 125 to 71 computations (43.2% saved)

series54.0ms (0.5%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	t	@	0	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
4.0ms	v	@	inf	(/.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))))
3.0ms	t	@	0	(/.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))))
2.0ms	v	@	0	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
2.0ms	v	@	inf	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite142.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`fma-def_binary64`
381×	`expm1-udef_binary64`
378×	`log1p-udef_binary64`
226×	`add-sqr-sqrt_binary64`
216×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	450	77
2	6186	71

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)) (pow.f64 (.f64 (PI.f64) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) (PI.f64)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) t) 3) (pow.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)) 3/2) (pow.f64 (.f64 (PI.f64) t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (*.f64 v v) -3 1))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))) (neg.f64 (.f64 (/.f64 (.f64 v v) (.f64 (PI.f64) t)) (/.f64 5 (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))) (.f64 (/.f64 (.f64 v v) (.f64 (PI.f64) t)) (/.f64 5 (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 v v) -5 1) (/.f64 (/.f64 1 (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))) 2) (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 v v) -5 1)) 2) (.f64 (cbrt.f64 (fma.f64 (.f64 v v) -5 1)) (/.f64 (/.f64 1 (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) (/.f64 (/.f64 1 (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 (.f64 v v) -5 1)) (/.f64 1 (.f64 (neg.f64 (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))) (fma.f64 (.f64 v v) -5 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) t)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (/.f64 1 (fma.f64 v (neg.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (PI.f64) t)) (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 v v) -5 1)) 2) (.f64 (PI.f64) t)) (/.f64 (cbrt.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 (PI.f64) t)) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 v v) -5 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 (PI.f64) (.f64 t (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) 1) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 (PI.f64) (.f64 t (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -5 1)) (fma.f64 v (neg.f64 v) 1)))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 t 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (PI.f64) t)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 3 (.f64 v v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 27 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 v 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 27 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (.f64 v v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3 (.f64 v v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 3 (.f64 v v) 1)) (cbrt.f64 (fma.f64 3 (.f64 v v) 1))) (cbrt.f64 (fma.f64 3 (.f64 v v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) (sqrt.f64 (fma.f64 3 (*.f64 v v) 1)) -1)))))

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

943×	`associate-/l*_binary64`
448×	`associate-*l/_binary64`
433×	`associate-*r/_binary64`
421×	`associate-+l+_binary64`
264×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2825
1	660	2786
2	2904	2702

Stop Event

1×	node limit

Counts

168 → 150

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2)))))
(.f64 (sqrt.f64 2) (.f64 t (PI.f64)))
(+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (.f64 t (PI.f64))))) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -9/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (.f64 t (PI.f64))))) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))
(+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -27/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 6) (.f64 t (PI.f64))))) (+.f64 (.f64 -9/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (.f64 t (PI.f64))))) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64))))) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 v (sqrt.f64 -3)))))))
(.f64 -1 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64)))))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64)))))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64)))))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -241/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))
(-.f64 (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))))) (/.f64 5/18 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64)))))) (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (PI.f64))))))))) (+.f64 (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (PI.f64)))))) (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/81 (.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))))))))) (+.f64 (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))))
(.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))
(+.f64 (.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))) (.f64 -5/2 (/.f64 (+.f64 1/81 (.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 7))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))

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

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t)))
✓	0.6b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
✓	1.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))
✓	5.9b	(.f64 (.f64 v v) t)

Compiler

Compiled 96 to 49 computations (49% saved)

series24.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))
4.0ms	t	@	-inf	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
3.0ms	t	@	0	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
2.0ms	v	@	inf	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
1.0ms	v	@	0	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))

rewrite111.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`prod-diff_binary64`
349×	`log1p-udef_binary64`
348×	`expm1-udef_binary64`
204×	`add-sqr-sqrt_binary64`
195×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	407	77
2	5491	77

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 v (.f64 v t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 v 4) (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 v (.f64 v t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 v t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 v t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 v (.f64 v t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 v (.f64 v t))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.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 (fma.f64 v (.f64 v -5) 1) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 2) (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 2) (fma.f64 v (.f64 v -6) 2))) (cbrt.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 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) 2) (.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (sqrt.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 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 v (.f64 v -5) 1)) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (fma.f64 v (.f64 v -5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) 2) 1) (/.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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 t (PI.f64)) (.f64 (.f64 (.f64 v v) (neg.f64 t)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) t) (.f64 (PI.f64) (.f64 (.f64 v v) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 t 3) (pow.f64 (.f64 v (.f64 v t)) 3)) (PI.f64)) (fma.f64 t t (.f64 (.f64 v (.f64 v t)) (+.f64 t (.f64 v (.f64 v t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 t t) (.f64 (pow.f64 v 4) (.f64 t t))) (PI.f64)) (+.f64 t (.f64 v (.f64 v t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (-.f64 (pow.f64 t 3) (pow.f64 (.f64 v (.f64 v t)) 3))) (fma.f64 t t (.f64 (.f64 v (.f64 v t)) (+.f64 t (.f64 v (.f64 v t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (-.f64 (.f64 t t) (.f64 (pow.f64 v 4) (.f64 t t)))) (+.f64 t (.f64 v (.f64 v t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 t (-.f64 1 (.f64 v v)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 t (-.f64 1 (.f64 v v))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 t (-.f64 1 (.f64 v v))) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))) 1))))))

simplify171.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

700×	`associate-l_binary64`
609×	`associate-/l*_binary64`
481×	`associate-*r/_binary64`
412×	`associate-*l/_binary64`
370×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	2860
1	814	2756
2	3254	2582

Stop Event

1×	node limit

Counts

202 → 176

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(*.f64 (pow.f64 v 2) t)
(.f64 (.f64 v v) t)
(.f64 v (.f64 v t))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 (pow.f64 v 2) (+.f64 (.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (.f64 (.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -5 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (/.f64 15/4 (sqrt.f64 1/2)))) (.f64 (.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))))))
(+.f64 (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (.f64 (pow.f64 v 4) (+.f64 (/.f64 27/16 (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2)))))
(+.f64 (.f64 (pow.f64 v 6) (+.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)))) (sqrt.f64 1/2))) (.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -5 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))))
(fma.f64 (pow.f64 v 6) (fma.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)))) (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) -5/2)) (+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (/.f64 15/4 (sqrt.f64 1/2)))) (.f64 (.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(fma.f64 (pow.f64 v 6) (fma.f64 1/2 (/.f64 (+.f64 27/2 (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2) -3/4)) (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) -5/2)) (+.f64 (sqrt.f64 1/2) (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2)))))))
(fma.f64 (pow.f64 v 6) (+.f64 (/.f64 135/32 (sqrt.f64 1/2)) (/.f64 -135/16 (sqrt.f64 1/2))) (+.f64 (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (.f64 (pow.f64 v 4) (+.f64 (/.f64 27/16 (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))))))
(.f64 -5 (.f64 v (sqrt.f64 -1/6)))
(.f64 v (.f64 -5 (sqrt.f64 -1/6)))
(.f64 (sqrt.f64 -1/6) (.f64 v -5))
(+.f64 (.f64 -5 (.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) v)))
(fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (/.f64 5/36 (.f64 v (sqrt.f64 -1/6)))))
(+.f64 (/.f64 (sqrt.f64 -1/6) v) (fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (/.f64 5/36 (.f64 v (sqrt.f64 -1/6)))))
(-.f64 (+.f64 (.f64 -5 (.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (.f64 5/36 (/.f64 1 (.f64 v (sqrt.f64 -1/6)))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(-.f64 (fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (/.f64 5/36 (.f64 v (sqrt.f64 -1/6))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))) (/.f64 1/36 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))
(fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) v) (/.f64 5/36 (.f64 v (sqrt.f64 -1/6)))) (/.f64 (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 -1/36 (sqrt.f64 -1/6))) (pow.f64 v 3))))
(-.f64 (+.f64 (.f64 -5 (.f64 v (sqrt.f64 -1/6))) (+.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) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (.f64 5/36 (/.f64 1 (.f64 v (sqrt.f64 -1/6)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))))) (.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(-.f64 (fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (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 (sqrt.f64 -1/6) (pow.f64 v 5))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (/.f64 5/36 (.f64 v (sqrt.f64 -1/6))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))))))) (/.f64 1/36 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))
(fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (+.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 (sqrt.f64 -1/6) (pow.f64 v 5))) (/.f64 (sqrt.f64 -1/6) v)) (-.f64 (+.f64 (/.f64 5/36 (.f64 v (sqrt.f64 -1/6))) (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (/.f64 (+.f64 -1/108 (.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5))))) (/.f64 (/.f64 1/36 (pow.f64 v 3)) (sqrt.f64 -1/6)))))
(+.f64 (+.f64 (+.f64 (/.f64 5/36 (.f64 v (sqrt.f64 -1/6))) (.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (+.f64 (/.f64 5/2 (pow.f64 v 3)) (/.f64 -1/2 (pow.f64 v 5))))) (fma.f64 5/2 (/.f64 (+.f64 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) 1/162) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5))) (/.f64 (sqrt.f64 -1/6) v))) (fma.f64 v (*.f64 -5 (sqrt.f64 -1/6)) (/.f64 (/.f64 -1/36 (pow.f64 v 3)) (sqrt.f64 -1/6))))
(.f64 5 (.f64 v (sqrt.f64 -1/6)))
(.f64 (.f64 v (sqrt.f64 -1/6)) 5)
(.f64 (sqrt.f64 -1/6) (.f64 v 5))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (.f64 5 (.f64 v (sqrt.f64 -1/6))))
(fma.f64 -1 (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v) (.f64 (.f64 v (sqrt.f64 -1/6)) 5))
(-.f64 (.f64 (sqrt.f64 -1/6) (.f64 v 5)) (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (+.f64 (.f64 5 (.f64 v (sqrt.f64 -1/6))) (.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 3)))))
(fma.f64 -1 (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v) (fma.f64 5 (.f64 v (sqrt.f64 -1/6)) (neg.f64 (/.f64 (-.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (/.f64 1/36 (sqrt.f64 -1/6))) (pow.f64 v 3)))))
(-.f64 (-.f64 (.f64 (sqrt.f64 -1/6) (.f64 v 5)) (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v)) (/.f64 (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 -1/36 (sqrt.f64 -1/6))) (pow.f64 v 3)))
(-.f64 (fma.f64 v (.f64 (sqrt.f64 -1/6) 5) (/.f64 (+.f64 (/.f64 1/36 (sqrt.f64 -1/6)) (.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) -5/2)) (pow.f64 v 3))) (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (+.f64 (.f64 5 (.f64 v (sqrt.f64 -1/6))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (.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) (sqrt.f64 -1/6)))) (pow.f64 v 5))))))
(fma.f64 -1 (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v) (fma.f64 5 (.f64 v (sqrt.f64 -1/6)) (.f64 -1 (+.f64 (/.f64 (-.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (/.f64 1/36 (sqrt.f64 -1/6))) (pow.f64 v 3)) (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (.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) (sqrt.f64 -1/6)))) (pow.f64 v 5))))))
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(.f64 t (.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 t (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))) (.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))) (.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))) (.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 -1 (.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))
(.f64 (neg.f64 (.f64 v v)) (*.f64 t (PI.f64)))
(.f64 (.f64 v v) (neg.f64 (*.f64 t (PI.f64))))
(.f64 v (.f64 v (*.f64 t (neg.f64 (PI.f64)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))) (.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))) (.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))) (.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(.f64 -1 (.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))
(.f64 (neg.f64 (.f64 v v)) (*.f64 t (PI.f64)))
(.f64 (.f64 v v) (neg.f64 (*.f64 t (PI.f64))))
(.f64 v (.f64 v (*.f64 t (neg.f64 (PI.f64)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))) (.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))) (.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))) (.f64 t (PI.f64)))
(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(.f64 (PI.f64) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))

eval323.0ms (3.2%)

Compiler: Compiled 12698 to 8372 computations (34.1% saved)

prune160.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	316	10	326
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	317	11	328

Error

Counts

328 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
▶	0.6b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
	0.6b	(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
	0.3b	(.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 t (-.f64 1 (*.f64 v v)))))
	1.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
▶	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
▶	1.5b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
▶	0.3b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
	1.2b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
✓	0.6b	(/.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))))
	0.8b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 t (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 476 to 357 computations (25% saved)

localize130.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (.f64 t (-.f64 1 (.f64 v v))))
✓	0.0b	(.f64 t (-.f64 1 (.f64 v v)))
✓	0.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
✓	0.2b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))

Compiler

Compiled 109 to 69 computations (36.7% saved)

series34.0ms (0.3%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	t	@	-inf	(/.f64 1 (.f64 t (-.f64 1 (.f64 v v))))
2.0ms	v	@	inf	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
2.0ms	v	@	0	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
2.0ms	t	@	inf	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
2.0ms	t	@	0	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))

rewrite279.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

360×	`expm1-udef_binary64`
360×	`log1p-udef_binary64`
304×	`log-pow_binary64`
214×	`add-sqr-sqrt_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	432	83
2	5749	83

Stop Event

1×	node limit

Counts

4 → 180

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 1 (.f64 v v)))) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (.f64 t (neg.f64 (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 1 (.f64 v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (fma.f64 v (.f64 v -5) 1)) 1) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (neg.f64 (PI.f64))) (.f64 t (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (PI.f64)) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 v (.f64 v -5) 1) -1) (.f64 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simplify152.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

683×	`associate-/l*_binary64`
632×	`associate-*r/_binary64`
552×	`associate-*l/_binary64`
482×	`associate-/l/_binary64`
338×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	3247
1	903	3134
2	3643	3026

Stop Event

1×	node limit

Counts

264 → 251

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 t (PI.f64))
✓	0.6b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
1.0ms	t	@	inf	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
1.0ms	t	@	-inf	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
0.0ms	t	@	inf	(*.f64 t (PI.f64))
0.0ms	t	@	0	(*.f64 t (PI.f64))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`pow1_binary64`
701×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
686×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	146	15
2	1863	15

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

51 → 51

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 t (PI.f64))
✓	0.6b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
✓	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`pow1_binary64`
837×	`add-log-exp_binary64`
837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
818×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	188	13
2	2390	13

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	156
1	17	156
2	32	156
3	44	156
4	46	156

Stop Event

1×

saturated

Counts

71 → 61

Calls

Call 1

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

Outputs
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))

localize122.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 v v) -3)
	0.3b	(*.f64 t (PI.f64))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (*.f64 v v) -3)))))

Compiler

Compiled 131 to 74 computations (43.5% saved)

series17.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	t	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
1.0ms	t	@	0	(.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (*.f64 v v) -3)))))
1.0ms	t	@	-inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
1.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
1.0ms	t	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))

rewrite199.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`fma-def_binary64`
394×	`expm1-udef_binary64`
392×	`log1p-udef_binary64`
236×	`fma-neg_binary64`
233×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	76
1	466	70
2	6387	68

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))) (neg.f64 (*.f64 (/.f64 5 (sqrt.f64 2)) (/.f64 (*.f64 v v) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))) (*.f64 (/.f64 5 (sqrt.f64 2)) (/.f64 (*.f64 v v) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (hypot.f64 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simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-/l*_binary64`
449×	`associate-*l/_binary64`
431×	`associate-*r/_binary64`
420×	`associate-+l+_binary64`
273×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2765
1	656	2678
2	2899	2594

Stop Event

1×	node limit

Counts

149 → 142

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (.f64 -3 (pow.f64 v 2)))))
(.f64 (sqrt.f64 2) (.f64 t (PI.f64)))
(+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (.f64 t (PI.f64))))) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -9/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (.f64 t (PI.f64))))) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))
(+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -27/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 6) (.f64 t (PI.f64))))) (+.f64 (.f64 -9/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (.f64 t (PI.f64))))) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64))))) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 v (sqrt.f64 -3)))))))
(.f64 -1 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64)))))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64)))))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 v (.f64 t (.f64 (sqrt.f64 -3) (PI.f64)))))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -241/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))
(-.f64 (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))))) (/.f64 5/18 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64)))))) (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (PI.f64))))))))) (+.f64 (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (PI.f64)))))) (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/81 (.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))))))))) (+.f64 (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))))
(.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))
(+.f64 (.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))) (.f64 -5/2 (/.f64 (+.f64 1/81 (.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 7))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))

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

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
✓	0.3b	(.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
✓	0.6b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
	1.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))

Compiler

Compiled 96 to 59 computations (38.5% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite104.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`expm1-udef_binary64`
345×	`log1p-udef_binary64`
288×	`log-pow_binary64`
215×	`fma-def_binary64`
207×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	61
1	406	61
2	5374	61

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

821×	`times-frac_binary64`
796×	`fma-def_binary64`
487×	`associate-l_binary64`
453×	`associate-/l*_binary64`
376×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2176
1	552	2091
2	2329	2023

Stop Event

1×	node limit

Counts

174 → 150

Calls

Call 1

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

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

eval1.3s (12.9%)

Compiler: Compiled 24080 to 16553 computations (31.3% saved)

prune173.0ms (1.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	734	3	737
Fresh	3	2	5
Picked	0	1	1
Done	1	4	5
Total	738	10	748

Error

Counts

748 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
✓	0.6b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
▶	0.6b	(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
▶	1.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
✓	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
✓	1.5b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
✓	0.6b	(/.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))))
▶	0.9b	(*.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))
▶	0.7b	(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
▶	1.2b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))

Compiler

Compiled 281 to 218 computations (22.4% saved)

localize101.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 v v) -3)
	0.3b	(*.f64 t (PI.f64))
✓	0.4b	(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))

Compiler

Compiled 137 to 77 computations (43.8% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
1.0ms	v	@	0	(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
1.0ms	v	@	0	(.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`log-prod_binary64`
523×	`prod-diff_binary64`
452×	`fma-def_binary64`
295×	`expm1-udef_binary64`
294×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	347	48
2	4672	48

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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simplify240.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

780×	`associate-*l/_binary64`
528×	`associate-*r/_binary64`
426×	`distribute-lft-out_binary64`
412×	`associate-/l/_binary64`
399×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	1339
1	185	1315
2	660	1301
3	2823	1216
4	6040	1152
5	7840	1152

Stop Event

1×	node limit

Counts

129 → 107

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 t (PI.f64))
✓	0.4b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 t (PI.f64)))

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`pow1_binary64`
747×	`add-log-exp_binary64`
747×	`log1p-expm1-u_binary64`
747×	`expm1-log1p-u_binary64`
730×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	182	21
2	2119	21

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

45 → 45

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)

Compiler

Compiled 26 to 21 computations (19.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
0.0ms	t	@	inf	(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
0.0ms	t	@	-inf	(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`pow1_binary64`
818×	`add-log-exp_binary64`
818×	`log1p-expm1-u_binary64`
818×	`expm1-log1p-u_binary64`
799×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	13
2	2334	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	156
1	17	156
2	32	156
3	44	156
4	46	156

Stop Event

1×

saturated

Counts

43 → 33

Calls

Call 1

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

Outputs
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 5 (.f64 v v))
	0.3b	(*.f64 t (PI.f64))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
	0.5b	(.f64 (sqrt.f64 2) (.f64 t (PI.f64)))

Compiler

Compiled 71 to 38 computations (46.5% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	-inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
1.0ms	t	@	-inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
1.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
1.0ms	v	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
0.0ms	v	@	inf	(.f64 5 (.f64 v v))

rewrite179.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`prod-diff_binary64`
316×	`fma-def_binary64`
301×	`expm1-udef_binary64`
299×	`log1p-udef_binary64`
178×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	354	38
2	4877	36

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 5 (*.f64 v v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5 (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5 (*.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 125 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 125 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 5 (*.f64 v v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 5 (*.f64 v v) 1)) (cbrt.f64 (fma.f64 5 (*.f64 v v) 1))) (cbrt.f64 (fma.f64 5 (*.f64 v v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 5 (*.f64 v v) 1)) (sqrt.f64 (fma.f64 5 (*.f64 v v) 1)) -1)))))

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

694×	`associate-/r/_binary64`
463×	`div-sub_binary64`
461×	`associate-/r*_binary64`
419×	`distribute-lft-out_binary64`
364×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	978
1	173	978
2	635	940
3	2991	855
4	4540	791
5	7693	791

Stop Event

1×	node limit

Counts

199 → 181

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 1/2 1/4) t)
✓	0.5b	(*.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))

Compiler

Compiled 30 to 25 computations (16.7% saved)

series191.0ms (1.9%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
181.0ms	t	@	0	(/.f64 (pow.f64 1/2 1/4) t)
7.0ms	t	@	inf	(/.f64 (pow.f64 1/2 1/4) t)
1.0ms	t	@	0	(*.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))
1.0ms	t	@	inf	(*.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))
1.0ms	t	@	-inf	(/.f64 (pow.f64 1/2 1/4) t)

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
397×	`prod-exp_binary64`
370×	`exp-prod_binary64`
327×	`pow-prod-down_binary64`
252×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	200	17
2	2661	17

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

Inputs
(*.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))
(/.f64 (pow.f64 1/2 1/4) t)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 1/2 1/4) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 1/2 1/4) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 1/2 1/4) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 1/2 1/4) t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 1/2 1/4) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 1/2 1/4) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 1/2 1/4) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/12) (cbrt.f64 t)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 t -2))) (/.f64 (pow.f64 1/2 1/12) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (pow.f64 1/2 1/12) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/4 1/16) (sqrt.f64 t)) (/.f64 (pow.f64 1/4 1/16) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/4 1/16) (*.f64 (pow.f64 1/4 1/16) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 1/2 1/4)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (pow.f64 1/2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) 1) (/.f64 (pow.f64 1/2 1/12) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/4 1/16) 1) (/.f64 (pow.f64 1/4 1/16) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (pow.f64 1/2 1/12) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/4 1/16) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (pow.f64 1/4 1/16) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (/.f64 (pow.f64 1/2 1/4) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 t)) (/.f64 (pow.f64 1/2 1/12) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 1/2 1/4) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 t -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 1/2 1/4) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 1/2 1/12) (cbrt.f64 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 1/4 1/16) (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (pow.f64 1/2 -1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (pow.f64 1/2 1/4) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 1/2 3/4) (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t (pow.f64 1/2 -1/4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) t))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) t)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) t))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 1/2 1/4) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 1/2 1/4) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 1/2 1/4) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 1/2 1/4) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 1/2 3/4) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 1/2 1/4) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 1/2 1/4) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 1/2 1/4) t) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 1/2 1/12) (cbrt.f64 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 1/4 1/16) (sqrt.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (pow.f64 1/2 -1/4))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) t)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 1/8 (log1p.f64 -3/4)) 1) (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 1/8 (log1p.f64 -3/4)) (*.f64 (log.f64 t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 1/8 (log1p.f64 -3/4)) 1) (*.f64 (log.f64 t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/8 (log1p.f64 -3/4)) 1) (neg.f64 (log.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 t)) (*.f64 (*.f64 1/8 (log1p.f64 -3/4)) 1)))))))

simplify172.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

913×	`sqr-pow_binary64`
536×	`associate-*r/_binary64`
485×	`cube-prod_binary64`
424×	`fabs-mul_binary64`
387×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	240
1	25	204
2	43	204
3	82	204
4	186	204
5	558	204
6	1111	204
7	2798	204
8	3586	204
9	3808	204
10	3954	204
11	4229	204
12	4572	204
13	4947	204
14	5419	204
15	5999	204
16	6675	204
17	7116	204
18	7406	204
19	7638	204
20	7816	204
21	7892	204

Stop Event

1×	node limit

Counts

154 → 132

Calls

Call 1

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

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

eval567.0ms (5.6%)

Compiler: Compiled 22140 to 14694 computations (33.6% saved)

prune96.0ms (0.9%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	580	4	584
Fresh	0	0	0
Picked	1	0	1
Done	2	7	9
Total	583	11	594

Error

Counts

594 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
✓	0.7b	(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
✓	0.6b	(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
✓	1.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
✓	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
✓	1.5b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
▶	0.9b	(.f64 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 t))
✓	0.6b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
▶	1.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (/.f64 (.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
✓	0.6b	(/.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))))
▶	1.3b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))

Compiler

Compiled 211 to 160 computations (24.2% saved)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 t))

Compiler

Compiled 31 to 25 computations (19.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(.f64 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 t))
0.0ms	t	@	inf	(.f64 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 t))
0.0ms	t	@	-inf	(.f64 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 t))

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	210	13
2	2636	13

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	156
1	17	156
2	32	156
3	44	156
4	46	156

Stop Event

1×

saturated

Counts

66 → 56

Calls

Call 1

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

Outputs
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 5 (.f64 v v))
	0.3b	(*.f64 t (PI.f64))
✓	0.4b	(/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (/.f64 (.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 76 to 43 computations (43.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (/.f64 (.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
0.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (/.f64 (.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
0.0ms	v	@	-inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (/.f64 (.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
0.0ms	t	@	-inf	(/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2))
0.0ms	t	@	inf	(/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2))

rewrite184.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`prod-diff_binary64`
327×	`expm1-udef_binary64`
325×	`log1p-udef_binary64`
194×	`add-sqr-sqrt_binary64`
185×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	386	41
2	5452	41

Stop Event

1×	node limit

Counts

2 → 224

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))) (neg.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))) (neg.f64 (*.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 1))) (fma.f64 (neg.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))) 1 (*.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) (neg.f64 (*.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 1))) (fma.f64 (neg.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))) 1 (*.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) (neg.f64 (*.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 1))) (fma.f64 (neg.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))) 1 (*.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 1/2) (neg.f64 (*.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 1))) (fma.f64 (neg.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))) 1 (*.f64 (*.f64 (*.f64 5 (*.f64 v v)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))) (neg.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))) 5))) (fma.f64 (neg.f64 (/.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) (-.f64 1 (*.f64 v v))))) 5 (*.f64 (/.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 (PI.f64) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 t (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 t (PI.f64)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 t (PI.f64)) 2) 2)) (cbrt.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 t (PI.f64))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))) (sqrt.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t (PI.f64))) (*.f64 (sqrt.f64 (*.f64 t (PI.f64))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (neg.f64 (PI.f64))) (/.f64 1 (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 t (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (*.f64 t (PI.f64))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 t (PI.f64))) 1) (/.f64 (sqrt.f64 (*.f64 t (PI.f64))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 1/2)) (/.f64 (*.f64 t (PI.f64)) (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (cbrt.f64 1/2)) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (cbrt.f64 1/2)) (/.f64 t (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 t (PI.f64))) (cbrt.f64 1/2)) (/.f64 (sqrt.f64 (*.f64 t (PI.f64))) (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 -1/4)) (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (pow.f64 2 -1/4)) (/.f64 (PI.f64) (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (pow.f64 2 -1/4)) (/.f64 t (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2) (pow.f64 2 -1/4)) (/.f64 (cbrt.f64 (*.f64 t (PI.f64))) (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 t (PI.f64)) (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 t (PI.f64)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) t) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 t (PI.f64)) 3) (*.f64 (sqrt.f64 1/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 2))) 1))))))

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

694×	`associate-/r/_binary64`
463×	`div-sub_binary64`
461×	`associate-/r*_binary64`
419×	`distribute-lft-out_binary64`
364×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	1014
1	173	1014
2	635	976
3	2991	891
4	4540	827
5	7693	827

Stop Event

1×	node limit

Counts

260 → 240

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
✓	0.5b	(/.f64 (sqrt.f64 1/2) t)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
783×	`add-log-exp_binary64`
783×	`log1p-expm1-u_binary64`
783×	`expm1-log1p-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	152	16
2	2055	16

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	120
1	10	120
2	12	120

Stop Event

1×

saturated

Counts

81 → 70

Calls

Call 1

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

Outputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
✓	1.0b	(/.f64 (sqrt.f64 1/2) (PI.f64))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
0.0ms	t	@	inf	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
0.0ms	t	@	-inf	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
783×	`add-log-exp_binary64`
783×	`log1p-expm1-u_binary64`
783×	`expm1-log1p-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	152	17
2	2055	17

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	120
1	10	120
2	12	120

Stop Event

1×

saturated

Counts

81 → 70

Calls

Call 1

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

Outputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))

eval378.0ms (3.7%)

Compiler: Compiled 19983 to 12076 computations (39.6% saved)

prune75.0ms (0.7%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	460	7	467
Fresh	0	0	0
Picked	0	1	1
Done	3	7	10
Total	463	15	478

Error

Counts

478 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
	1.0b	(/.f64 (/.f64 (/.f64 1 t) (sqrt.f64 2)) (PI.f64))
✓	1.3b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
✓	0.7b	(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
	1.5b	(/.f64 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) t)
✓	1.3b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
	1.5b	(.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (-.f64 1 (*.f64 v v))))
✓	0.6b	(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
	1.0b	(/.f64 (/.f64 (/.f64 1 t) (PI.f64)) (sqrt.f64 2))
	1.5b	(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 1/2))
	2.3b	(pow.f64 (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 2) t)))) 3)
✓	1.5b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
✓	1.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (/.f64 (.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
✓	0.6b	(/.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))))
	1.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 262 to 203 computations (22.5% saved)

regimes81.0ms (0.8%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

6 calls:

15.0ms	(*.f64 (PI.f64) t)
15.0ms	v
14.0ms	(/.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))))
13.0ms	t
6.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.3b	1	`v`
0.3b	1	`t`
0.3b	1	`(/.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))))`
0.3b	1	`(*.f64 v v)`
0.3b	1	`(*.f64 v v)`
0.3b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 475 to 308 computations (35.2% saved)

regimes82.0ms (0.8%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	(/.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))))
15.0ms	(*.f64 (PI.f64) t)
14.0ms	t
12.0ms	v
7.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.3b	1	`v`
0.3b	1	`t`
0.3b	1	`(/.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))))`
0.3b	1	`(*.f64 v v)`
0.3b	1	`(*.f64 v v)`
0.3b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 449 to 291 computations (35.2% saved)

regimes76.0ms (0.7%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	(*.f64 (PI.f64) t)
13.0ms	(/.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))))
13.0ms	t
12.0ms	v
6.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.6b	1	`v`
0.6b	1	`t`
0.6b	1	`(/.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))))`
0.6b	1	`(*.f64 v v)`
0.6b	1	`(*.f64 v v)`
0.6b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 423 to 274 computations (35.2% saved)

regimes65.0ms (0.6%)

Counts

21 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (/.f64 1 t) (sqrt.f64 2)) (PI.f64))
(/.f64 (/.f64 (/.f64 1 t) (PI.f64)) (sqrt.f64 2))
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) t)
(.f64 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 t))
(.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 1/2))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (/.f64 (.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
(/.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 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(pow.f64 (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 2) t)))) 3)

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

Calls

5 calls:

13.0ms	(/.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))))
12.0ms	v
12.0ms	t
12.0ms	(*.f64 (PI.f64) t)
5.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.6b	1	`v`
0.6b	1	`t`
0.6b	1	`(/.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))))`
0.6b	1	`(*.f64 v v)`
0.6b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 345 to 226 computations (34.5% saved)

regimes58.0ms (0.6%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	(/.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))))
11.0ms	v
11.0ms	(*.f64 (PI.f64) t)
11.0ms	t
5.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.6b	1	`v`
0.6b	1	`t`
0.6b	1	`(/.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))))`
0.6b	1	`(*.f64 v v)`
0.6b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 303 to 198 computations (34.7% saved)

regimes53.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (/.f64 (/.f64 1 t) (sqrt.f64 2)) (PI.f64))
(/.f64 (/.f64 (/.f64 1 t) (PI.f64)) (sqrt.f64 2))
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) t)
(.f64 (/.f64 1 (.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 t))
(.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 1/2))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (/.f64 (.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
(/.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 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) 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))))

Calls

5 calls:

11.0ms	(/.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))))
10.0ms	(*.f64 (PI.f64) t)
10.0ms	v
10.0ms	t
4.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.6b	1	`v`
0.6b	1	`t`
0.6b	1	`(/.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))))`
0.6b	1	`(*.f64 v v)`
0.6b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 274 to 181 computations (33.9% saved)

regimes29.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)

Calls

3 calls:

10.0ms	t
9.0ms	v
4.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.7b	1	`v`
0.7b	1	`t`
0.7b	1	`(*.f64 v v)`

Compiler

Compiled 200 to 130 computations (35% saved)

regimes11.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (/.f64 1 t) (sqrt.f64 2)) (PI.f64))

Calls

2 calls:

5.0ms	v
4.0ms	t

Results

Error	Segments	Branch
1.0b	1	`v`
1.0b	1	`t`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.4b remaining (-29.5%)

Threshold costs -0.4b (-29.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))

Calls

2 calls:

4.0ms	v
4.0ms	t

Results

Error	Segments	Branch
1.3b	1	`v`
1.3b	1	`t`

Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`distribute-rgt-neg-in_binary64`
5×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	296
1	117	296
2	134	296
3	142	296
4	146	296

Stop Event

1×	fuel
1×	saturated

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

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

Compiler

Compiled 212 to 160 computations (24.5% saved)

soundness113.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
719×	`distribute-neg-frac_binary64`
592×	`fma-def_binary64`
466×	`associate-/r*_binary64`
411×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	190	38
3	947	36
4	5124	36

Stop Event

1×	node limit

Compiler

Compiled 979 to 681 computations (30.4% saved)

end104.0ms (1%)

Compiler: Compiled 194 to 126 computations (35.1% saved)