Details

analyze228.0ms (2%)

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)

sample2.0s (17.9%)

Results

2.0s	8256×	body	256	valid
3.0ms	14×	body	256	invalid

preprocess110.0ms (1%)

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

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.4b

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

Compiler

Compiled 56 to 39 computations (30.4% saved)

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.2b	(*.f64 (PI.f64) t)
✓	0.3b	(/.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)

series23.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
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	t	@	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))))))
2.0ms	v	@	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))))

rewrite118.0ms (1%)

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 5 (.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 v (.f64 v 5) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v 5))) 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 v (.f64 v 5)))))))) (#(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 v (.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 v 5))))))) (#(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 v (.f64 v 5) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v 5) 1)) (cbrt.f64 (fma.f64 v (.f64 v 5) 1))) (cbrt.f64 (fma.f64 v (.f64 v 5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 v (.f64 v 5) 1)) (sqrt.f64 (fma.f64 v (.f64 v 5) 1)) -1)))))

simplify115.0ms (1%)

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 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 (.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 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))

localize80.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t)))
✓	0.4b	(/.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)))
✓	5.6b	(.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)))
3.0ms	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))))
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))))
2.0ms	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))))

rewrite119.0ms (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))))))

simplify161.0ms (1.4%)

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))))

eval720.0ms (6.4%)

Compiler: Compiled 12698 to 8389 computations (33.9% saved)

prune65.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	314	12	326
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	316	12	328

Error

Counts

328 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(fma.f64 -5/2 (/.f64 v (.f64 (.f64 t (PI.f64)) (/.f64 (sqrt.f64 2) v))) (/.f64 (/.f64 1 (sqrt.f64 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))))
	0.9b	(/.f64 (+.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 (PI.f64) (-.f64 t (.f64 (.f64 v v) t))))
	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 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 1 (.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))
▶	1.4b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
▶	1.2b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
	0.6b	(.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))))
	0.4b	(/.f64 (-.f64 1 (-.f64 (fma.f64 v (.f64 v 5) 1) 1)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
▶	0.4b	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
▶	0.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 558 to 422 computations (24.4% saved)

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 109 to 69 computations (36.7% saved)

series15.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite118.0ms (1%)

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	87
1	432	87
2	5749	87

Stop Event

1×	node limit

Counts

4 → 157

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

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

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

862×	`associate-/l*_binary64`
624×	`associate-*l/_binary64`
505×	`associate-/l/_binary64`
370×	`associate-/r*_binary64`
286×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	3426
1	1072	3300
2	4233	3190

Stop Event

1×	node limit

Counts

229 → 246

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 t (PI.f64))
✓	0.4b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite203.0ms (1.8%)

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))))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

51 → 51

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 t (PI.f64))
✓	0.4b	(/.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)))

rewrite60.0ms (0.5%)

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)))))))))

simplify11.0ms (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)))

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) -3/2) (*.f64 v v))
✓	0.5b	(.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (*.f64 v v)) (sqrt.f64 2)))
✓	1.0b	(*.f64 (sqrt.f64 2) -3/2)

Compiler

Compiled 122 to 74 computations (39.3% saved)

series24.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	t	@	-inf	(.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (*.f64 v v)) (sqrt.f64 2)))
5.0ms	t	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))
2.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))
2.0ms	v	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))
1.0ms	t	@	0	(.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (*.f64 v v)) (sqrt.f64 2)))

rewrite103.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

389×	`expm1-udef_binary64`
387×	`log1p-udef_binary64`
311×	`fma-neg_binary64`
231×	`add-sqr-sqrt_binary64`
221×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	456	71
2	6579	71

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 9/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 9/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -27/4 (sqrt.f64 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 9/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 9/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -27/4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 9/2)) 1))))))
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simplify146.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

744×	`associate-/l*_binary64`
431×	`*-commutative_binary64`
428×	`associate-*r/_binary64`
425×	`fma-def_binary64`
406×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	2859
1	411	2707
2	1923	2437

Stop Event

1×	node limit

Counts

162 → 130

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 t (PI.f64)))
(.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 t (PI.f64)))
(.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 t (PI.f64)))
(.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 t (PI.f64)))
(.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 t (PI.f64)))
(.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 t (PI.f64)))
(.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 t (PI.f64)))
(.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 t (PI.f64)))
(.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 t (PI.f64)))
(.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 t (PI.f64)))
(.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 t (PI.f64)))
(.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 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 (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 (sqrt.f64 2) (.f64 t (PI.f64))))
(.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 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 (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 -3/2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 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 (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 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(/.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 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 -5/2 (/.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))))) (.f64 3/2 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
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(/.f64 -10/3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))
(-.f64 (/.f64 2/3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (.f64 t (PI.f64))))) (+.f64 (.f64 -20/9 (/.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 v 4) (.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))))) (.f64 10/3 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (.f64 t (PI.f64)))))) (.f64 20/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 6) (.f64 t (PI.f64))))))) (+.f64 (.f64 -20/9 (/.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 v 4) (.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 10/3 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 2/3 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 -20/9 (/.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))))))
(-.f64 (+.f64 (.f64 20/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 6) (.f64 t (PI.f64)))))) (+.f64 (.f64 2/3 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (.f64 t (PI.f64)))))) (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (-.f64 (.f64 2/3 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 -20/9 (/.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))))))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 20/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 2/3 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 -20/9 (/.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))) (pow.f64 v 8))))) (+.f64 (.f64 -20/9 (/.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 v 4) (.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 10/3 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 2/3 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 -20/9 (/.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 6) (.f64 t (PI.f64)))))))))
(/.f64 -10/3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))
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(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (.f64 (+.f64 (.f64 -3/2 (.f64 v v)) 1) (sqrt.f64 2)) (.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (.f64 (+.f64 (.f64 -3/2 (.f64 v v)) 1) (sqrt.f64 2)) (.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (.f64 (+.f64 (.f64 -3/2 (.f64 v v)) 1) (sqrt.f64 2)) (.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (.f64 (+.f64 (.f64 -3/2 (.f64 v v)) 1) (sqrt.f64 2)) (.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (.f64 (+.f64 (.f64 -3/2 (.f64 v v)) 1) (sqrt.f64 2)) (.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (.f64 (+.f64 (.f64 -3/2 (.f64 v v)) 1) (sqrt.f64 2)) (.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (.f64 (+.f64 (.f64 -3/2 (.f64 v v)) 1) (sqrt.f64 2)) (.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (.f64 (+.f64 (.f64 -3/2 (.f64 v v)) 1) (sqrt.f64 2)) (.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))
(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (fma.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (.f64 (+.f64 (.f64 -3/2 (.f64 v v)) 1) (sqrt.f64 2)) (.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)))))

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 3 (.f64 v v))
	0.2b	(*.f64 (PI.f64) t)
✓	0.3b	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.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 128 to 76 computations (40.6% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	-inf	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
1.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
1.0ms	v	@	0	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.0ms	v	@	inf	(.f64 3 (.f64 v v))
0.0ms	v	@	0	(.f64 3 (.f64 v v))

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`fma-def_binary64`
396×	`expm1-udef_binary64`
393×	`log1p-udef_binary64`
234×	`add-sqr-sqrt_binary64`
225×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	467	50
2	6395	46

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary64`
544×	`associate-l_binary64`
520×	`associate-/l*_binary64`
387×	`associate-r_binary64`
349×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1880
1	474	1844
2	2002	1724

Stop Event

1×	node limit

Counts

102 → 94

Calls

Call 1

Inputs
(/.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 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
(+.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)))))
(fma.f64 -5/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -5/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))
(fma.f64 -5/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2)))
(+.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))))))
(fma.f64 -5/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.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))))))
(fma.f64 -5/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (fma.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))))))
(fma.f64 -5/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (fma.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))))
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(.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (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 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (.f64 v v) 5)) (.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) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (.f64 v v) 5)) (.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) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (.f64 v v) 5)) (.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) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (.f64 v v) 5)) (.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) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (.f64 v v) 5)) (.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) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (.f64 v v) 5)) (.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) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (.f64 v v) 5)) (.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) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 (.f64 v v) 3)
(.f64 v (.f64 v 3))

eval663.0ms (5.9%)

Compiler: Compiled 21647 to 14576 computations (32.7% saved)

prune310.0ms (2.8%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	646	5	651
Fresh	3	4	7
Picked	0	1	1
Done	1	3	4
Total	650	13	663

Error

Counts

663 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
	1.1b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 1 (.f64 t (-.f64 1 (*.f64 v v)))))
▶	1.3b	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
✓	0.4b	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	0.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))
	1.2b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
▶	1.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
▶	1.2b	(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
✓	1.4b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	0.7b	(fma.f64 -5/2 (/.f64 v (.f64 (.f64 t (PI.f64)) (/.f64 (sqrt.f64 2) v))) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))))
	28.7b	(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
▶	0.9b	(/.f64 (+.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 (PI.f64) (-.f64 t (.f64 (.f64 v v) t))))
▶	0.4b	(/.f64 (-.f64 1 (-.f64 (fma.f64 v (.f64 v 5) 1) 1)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))

Compiler

Compiled 423 to 336 computations (20.6% saved)

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) t)
✓	0.3b	(/.f64 (-.f64 1 (-.f64 (fma.f64 v (.f64 v 5) 1) 1)) (.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))))))
✓	2.4b	(-.f64 (fma.f64 v (*.f64 v 5) 1) 1)

Compiler

Compiled 143 to 89 computations (37.8% saved)

series11.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	t	@	-inf	(/.f64 (-.f64 1 (-.f64 (fma.f64 v (.f64 v 5) 1) 1)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
1.0ms	t	@	0	(/.f64 (-.f64 1 (-.f64 (fma.f64 v (.f64 v 5) 1) 1)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
1.0ms	t	@	inf	(/.f64 (-.f64 1 (-.f64 (fma.f64 v (.f64 v 5) 1) 1)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
1.0ms	v	@	0	(-.f64 (fma.f64 v (*.f64 v 5) 1) 1)
1.0ms	v	@	-inf	(/.f64 (-.f64 1 (-.f64 (fma.f64 v (.f64 v 5) 1) 1)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))

rewrite159.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

421×	`expm1-udef_binary64`
420×	`log1p-udef_binary64`
253×	`add-sqr-sqrt_binary64`
243×	`*-un-lft-identity_binary64`
243×	`pow1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	498	56
2	6915	50

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 v (*.f64 v 5) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 v 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 v (*.f64 v 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (*.f64 v 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 v 5) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 v (*.f64 v 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 v (*.f64 v 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 v v) 5)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (*.f64 v 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 v (*.f64 v 5))) (pow.f64 (cbrt.f64 (*.f64 v (*.f64 v 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 v (*.f64 v 5))) 2) (cbrt.f64 (*.f64 v (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (*.f64 v 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 v (*.f64 v 5))) (sqrt.f64 (*.f64 v (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 2) (+.f64 (*.f64 v (*.f64 v 5)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 v (*.f64 v 5)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 v (*.f64 v 5) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 v (*.f64 v 5) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 v) (sqrt.f64 (*.f64 v 5))) (*.f64 (sqrt.f64 v) (sqrt.f64 (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 v (pow.f64 (cbrt.f64 (*.f64 v 5)) 2)) (cbrt.f64 (*.f64 v 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 v (sqrt.f64 (*.f64 v 5))) (sqrt.f64 (*.f64 v 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 2) (+.f64 (*.f64 v (*.f64 v 5)) 2)) (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 v (*.f64 v 5)) 2) (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 2) (+.f64 (*.f64 v (*.f64 v 5)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 2) (-.f64 1 (*.f64 (fma.f64 v (*.f64 v 5) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 2) -1) (+.f64 (*.f64 v (*.f64 v 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 2) -1) (-.f64 (fma.f64 v (*.f64 v 5) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 2) (+.f64 (*.f64 v (*.f64 v 5)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 v (*.f64 v 5) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 v (*.f64 v 5)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 v (*.f64 v 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (*.f64 v 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 v (*.f64 v 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 v (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 v (*.f64 v 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 v 3) (pow.f64 (*.f64 v 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 v) (log.f64 (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 v (*.f64 v 5) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v 5) 1)) 2) (cbrt.f64 (fma.f64 v (*.f64 v 5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 v (*.f64 v 5) 1)) (sqrt.f64 (fma.f64 v (*.f64 v 5) 1)) -1)))))

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

simplify203.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-def_binary64`
539×	`associate-l_binary64`
517×	`associate-/l*_binary64`
385×	`associate-r_binary64`
348×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1880
1	474	1844
2	2002	1724

Stop Event

1×	node limit

Counts

127 → 119

Calls

Call 1

Inputs
(*.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))
(/.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))))))

Outputs
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
(+.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)))))
(fma.f64 -5/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -5/2 (/.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 t (PI.f64))) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2)))
(fma.f64 -5/2 (/.f64 v (/.f64 (.f64 t (PI.f64)) (/.f64 v (sqrt.f64 2)))) (/.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 2)))
(+.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))))))
(fma.f64 -5/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.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))))))
(fma.f64 -5/2 (/.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 t (PI.f64))) (fma.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))))
(fma.f64 -5/2 (/.f64 v (/.f64 (.f64 t (PI.f64)) (/.f64 v (sqrt.f64 2)))) (fma.f64 -53/8 (/.f64 (/.f64 (pow.f64 v 4) (.f64 t (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))))
(+.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)))))))
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(fma.f64 -1 (/.f64 (-.f64 (fma.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 (PI.f64) (sqrt.f64 -1/3))))))) (/.f64 2/9 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 5)) (fma.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))) (fma.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 5/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 3)) (neg.f64 (/.f64 (-.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (.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 (PI.f64) (sqrt.f64 -1/3)))))))) (/.f64 2/9 (.f64 (sqrt.f64 2) (.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 7))))))
(-.f64 (-.f64 (-.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) v))) -5) (/.f64 (fma.f64 4 (/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 t (PI.f64))) (/.f64 -5/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 3))) (/.f64 (+.f64 (fma.f64 4 (/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 t (PI.f64))) (fma.f64 -5/2 (/.f64 (fma.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) -1/3) 1/81) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))))) (/.f64 -2/9 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 7))) (/.f64 (fma.f64 4 (/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 t (PI.f64))) (fma.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 -2/9 (.f64 (sqrt.f64 2) (.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))))) (pow.f64 v 5)))
(-.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 v (.f64 t (PI.f64)))) -5 (/.f64 (fma.f64 -1 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (fma.f64 -5/2 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2) -5/54) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))) (/.f64 2/9 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 5))) (/.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 -5/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 3))) (/.f64 (+.f64 (fma.f64 -5/2 (/.f64 (+.f64 1/81 (.f64 -1/6 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 (fma.f64 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2) -2 -2/27) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))) (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (/.f64 -2/9 (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))) (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 (.f64 v v))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 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 (*.f64 v v) 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (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 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))))

localize55.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 t (PI.f64))
✓	0.3b	(/.f64 1 (*.f64 t (PI.f64)))
✓	0.4b	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite130.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`pow1_binary64`
746×	`add-log-exp_binary64`
746×	`log1p-expm1-u_binary64`
746×	`expm1-log1p-u_binary64`
730×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	180	18
2	2089	18

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

simplify17.0ms (0.2%)

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

63 → 51

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)))

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (0.7%)

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: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	11
2	2336	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.2%)

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)))

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 5 (.f64 v v))
	0.2b	(*.f64 t (PI.f64))
✓	0.3b	(/.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)

series7.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

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

rewrite427.0ms (3.8%)

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	41
1	354	41
2	4877	39

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

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

Outputs

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

simplify216.0ms (1.9%)

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	894
1	173	894
2	635	856
3	2991	771
4	4540	707
5	7693	707

Stop Event

1×	node limit

Counts

186 → 178

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)))))

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)))))

localize244.0ms (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 1 (sqrt.f64 1/2))
✓	1.0b	(*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))
✓	1.0b	(+.f64 (.f64 -5 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))
	5.6b	(.f64 (.f64 v v) t)

Compiler

Compiled 125 to 90 computations (28% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite106.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
901×	`add-log-exp_binary64`
900×	`log1p-expm1-u_binary64`
900×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	215	14
2	2577	14

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(+.f64 (.f64 -5 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))
(*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))
(/.f64 1 (sqrt.f64 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/2 (-.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))) (/.f64 9/8 (-.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))) 2) (cbrt.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))) (sqrt.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -125/2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 9/8) 9/8)) (/.f64 1 (-.f64 109/8 (*.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 91/8 (/.f64 1 (-.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 109/8 (*.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))) (+.f64 (*.f64 -125/2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 9/8) 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)) 91/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -125/2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 9/8) 9/8)) (-.f64 109/8 (*.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -125/2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 9/8) 9/8)) (+.f64 9/8 (-.f64 25/2 (*.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 91/8 (-.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -125/2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 9/8) 9/8))) (neg.f64 (-.f64 109/8 (*.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -91/8 (neg.f64 (-.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -91/8 (-.f64 (sqrt.f64 9/8) (sqrt.f64 25/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 25/2) (sqrt.f64 9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5 (sqrt.f64 1/2) (sqrt.f64 9/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) -5 (sqrt.f64 9/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/4 (sqrt.f64 2) (sqrt.f64 25/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 25/2) (sqrt.f64 9/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 9/8) (sqrt.f64 25/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) 3/4 (sqrt.f64 25/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 25/2) (cbrt.f64 (sqrt.f64 25/2)) (sqrt.f64 9/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 9/8) (cbrt.f64 (sqrt.f64 9/8)) (sqrt.f64 25/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 25/2)) (sqrt.f64 (sqrt.f64 25/2)) (sqrt.f64 9/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 9/8)) (sqrt.f64 (sqrt.f64 9/8)) (sqrt.f64 25/2))))))

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

77 → 77

Calls

Call 1

Inputs

Outputs

eval533.0ms (4.7%)

Compiler: Compiled 24996 to 16393 computations (34.4% saved)

prune113.0ms (1%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	600	9	609
Fresh	3	1	4
Picked	1	0	1
Done	1	7	8
Total	605	17	622

Error

Counts

622 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
▶	0.7b	(/.f64 (-.f64 1 (-.f64 (fma.f64 v (.f64 v 5) 1) 1)) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (.f64 v v))))
	1.4b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
	0.9b	(/.f64 (+.f64 (sqrt.f64 1/2) (.f64 (pow.f64 v 2) (+.f64 (.f64 -5 (sqrt.f64 1/2)) (sqrt.f64 9/8)))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
	0.8b	(fma.f64 -5/2 (/.f64 v (/.f64 (.f64 t (PI.f64)) (/.f64 v (sqrt.f64 2)))) (/.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 2)))
▶	0.5b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 v) v) 2))) (-.f64 1 (*.f64 v v)))) 1)
✓	1.3b	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
✓	0.4b	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	0.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))
	0.5b	(pow.f64 (/.f64 (.f64 (PI.f64) t) (/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 v) v) 2))) (-.f64 1 (.f64 v v))))) -1)
✓	1.2b	(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
✓	1.4b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
▶	1.4b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
▶	1.2b	(/.f64 (*.f64 (/.f64 (/.f64 1 t) (PI.f64)) 1) (sqrt.f64 2))
	28.7b	(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
✓	1.2b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
▶	1.2b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))

Compiler

Compiled 513 to 410 computations (20.1% saved)

localize62.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 -3 v) v)
	0.2b	(*.f64 (PI.f64) t)
✓	0.3b	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (*.f64 (PI.f64) t))
✓	0.6b	(/.f64 (/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 v) v) 2))) (-.f64 1 (.f64 v v))))

Compiler

Compiled 154 to 101 computations (34.4% saved)

series12.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(/.f64 (/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 v) v) 2))) (-.f64 1 (.f64 v v))))
1.0ms	v	@	0	(/.f64 (/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 v) v) 2))) (-.f64 1 (.f64 v v))))
1.0ms	v	@	inf	(/.f64 (/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 v) v) 2))) (-.f64 1 (.f64 v v))))
1.0ms	t	@	-inf	(/.f64 (/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 v) v) 2))) (-.f64 1 (.f64 v v))))
1.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (*.f64 (PI.f64) t))

rewrite115.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

427×	`expm1-udef_binary64`
425×	`log1p-udef_binary64`
248×	`add-sqr-sqrt_binary64`
239×	`*-un-lft-identity_binary64`
239×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	493	64
2	6997	64

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

887×	`times-frac_binary64`
780×	`fma-def_binary64`
524×	`associate-/l*_binary64`
467×	`associate-l_binary64`
399×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2336
1	555	2251
2	2368	2012

Stop Event

1×	node limit

Counts

170 → 143

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite187.0ms (1.7%)

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)))))))))

simplify11.0ms (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)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 t (PI.f64))
✓	0.3b	(/.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)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite79.0ms (0.7%)

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	13
1	182	11
2	2119	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(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)))))))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

24 → 24

Calls

Call 1

Inputs

Outputs

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 25 computations (24.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

965×	`pow1_binary64`
898×	`add-log-exp_binary64`
898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	219	19
2	2629	19

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

11×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
4×	`associate-/l/_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	252
1	20	252
2	36	252
3	45	252
4	46	252

Stop Event

1×

saturated

Counts

99 → 77

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))))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 t (PI.f64)))

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

localize151.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 (sqrt.f64 2) -3/2) (*.f64 v v))
	0.5b	(.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (*.f64 v v)) (sqrt.f64 2)))
	1.0b	(*.f64 (sqrt.f64 2) -3/2)
	2.4b	(-.f64 (fma.f64 v (*.f64 v 5) 1) 1)

Compiler

Compiled 140 to 92 computations (34.3% saved)

eval495.0ms (4.4%)

Compiler: Compiled 12667 to 8560 computations (32.4% saved)

prune94.0ms (0.8%)

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	463	2	465
Fresh	3	2	5
Picked	0	1	1
Done	0	11	11
Total	466	16	482

Error

Counts

482 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
✓	0.7b	(/.f64 (-.f64 1 (-.f64 (fma.f64 v (.f64 v 5) 1) 1)) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (.f64 v v))))
	1.4b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
	0.9b	(/.f64 (+.f64 (sqrt.f64 1/2) (.f64 (pow.f64 v 2) (+.f64 (.f64 -5 (sqrt.f64 1/2)) (sqrt.f64 9/8)))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
	28.7b	(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
✓	1.3b	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
✓	0.5b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 v) v) 2))) (-.f64 1 (*.f64 v v)))) 1)
✓	0.4b	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	1.2b	(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
✓	1.4b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
✓	1.4b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
✓	1.2b	(/.f64 (*.f64 (/.f64 (/.f64 1 t) (PI.f64)) 1) (sqrt.f64 2))
✓	1.2b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
	0.4b	(.f64 (/.f64 (.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (PI.f64)) (/.f64 1 t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 v) v) 2))) (-.f64 1 (*.f64 v v)))) 1)
✓	1.2b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
✓	0.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 297 to 237 computations (20.2% saved)

regimes193.0ms (1.7%)

Counts

30 → 1

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

7 calls:

44.0ms	t
38.0ms	v
34.0ms	(/.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))))
16.0ms	(*.f64 (PI.f64) t)
15.0ms	(*.f64 (PI.f64) t)

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)`
0.3b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 628 to 404 computations (35.7% saved)

regimes302.0ms (2.7%)

Counts

28 → 1

Calls

Call 1

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

Calls

7 calls:

128.0ms	(*.f64 (PI.f64) t)
58.0ms	v
18.0ms	t
14.0ms	(*.f64 (PI.f64) t)
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))))

Results

Error	Segments	Branch
0.4b	1	`v`
0.4b	1	`t`
0.4b	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))))`
0.4b	1	`(*.f64 v v)`
0.4b	1	`(*.f64 v v)`
0.4b	1	`(*.f64 (PI.f64) t)`
0.4b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 576 to 372 computations (35.4% saved)

regimes208.0ms (1.8%)

Counts

21 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (-.f64 (fma.f64 v (.f64 v 5) 1) 1)) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (+.f64 2 (.f64 (.f64 (.f64 -3 v) v) 2))) (-.f64 1 (*.f64 v v)))) 1)
(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.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 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (+.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 (PI.f64) (-.f64 t (.f64 (.f64 v v) t))))
(/.f64 (+.f64 (sqrt.f64 1/2) (.f64 (pow.f64 v 2) (+.f64 (.f64 -5 (sqrt.f64 1/2)) (sqrt.f64 9/8)))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 1 (.f64 t (-.f64 1 (*.f64 v v)))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.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 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
(/.f64 (*.f64 (/.f64 (/.f64 1 t) (PI.f64)) 1) (sqrt.f64 2))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.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 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))

Calls

6 calls:

117.0ms	(/.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))))
28.0ms	v
27.0ms	t
14.0ms	(*.f64 (PI.f64) t)
5.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.4b	1	`v`
0.4b	1	`t`
0.4b	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))))`
0.4b	1	`(*.f64 v v)`
0.4b	1	`(*.f64 v v)`
0.4b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 389 to 255 computations (34.4% saved)

regimes139.0ms (1.2%)

Counts

17 → 1

Calls

Call 1

Inputs
(/.f64 (+.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 (PI.f64) (-.f64 t (.f64 (.f64 v v) t))))
(/.f64 (+.f64 (sqrt.f64 1/2) (.f64 (pow.f64 v 2) (+.f64 (.f64 -5 (sqrt.f64 1/2)) (sqrt.f64 9/8)))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (sqrt.f64 2) (PI.f64))) (/.f64 1 (.f64 t (-.f64 1 (*.f64 v v)))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.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 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
(/.f64 (*.f64 (/.f64 (/.f64 1 t) (PI.f64)) 1) (sqrt.f64 2))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.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 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))

Calls

3 calls:

74.0ms	v
23.0ms	t
9.0ms	(*.f64 v v)

Results

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

Compiler

Compiled 231 to 152 computations (34.2% saved)

regimes73.0ms (0.6%)

Counts

13 → 1

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

Calls

3 calls:

36.0ms	t
21.0ms	v
8.0ms	(*.f64 v v)

Results

Error	Segments	Branch
1.2b	1	`v`
1.2b	1	`t`
1.2b	1	`(*.f64 v v)`

Compiler

Compiled 129 to 86 computations (33.3% saved)

regimes20.0ms (0.2%)

Accuracy

Total -0.2b remaining (-15.5%)

Threshold costs -0.2b (-15.5%)

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:

10.0ms	v
8.0ms	t

Results

Error	Segments	Branch
1.4b	1	`v`
1.4b	1	`t`

Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
9×	`distribute-rgt-neg-in_binary64`
7×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	206
1	113	206
2	140	206
3	155	206
4	162	206
5	163	206

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

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

Compiler

Compiled 147 to 112 computations (23.8% saved)

soundness164.0ms (1.5%)

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)

end85.0ms (0.8%)

Compiler: Compiled 135 to 88 computations (34.8% saved)