Details

analyze193.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	50%	0.1%	0%	50%	0%	4
0%	0%	50%	0.1%	0%	50%	0%	5
25%	12.5%	37.5%	0.1%	0%	50%	0%	6
37.5%	18.7%	31.2%	0.1%	0%	50%	0%	7
56.3%	28.1%	21.9%	0.1%	0%	50%	0%	8
65.6%	32.8%	17.2%	0.1%	0%	50%	0%	9
76.6%	38.2%	11.7%	0.1%	0%	50%	0%	10
82%	41%	9%	0.1%	0%	50%	0%	11
87.9%	43.9%	6%	0.1%	0%	50%	0%	12

Compiler

Compiled 31 to 22 computations (29% saved)

sample1.4s (14.3%)

Results

1.4s	8256×	body	256	valid
2.0ms	14×	body	256	invalid
0.0ms	1×	body	256	infinite

Bogosity

preprocess56.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	86
1	102	86
2	363	76
3	1859	72
4	7870	72
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify41.0ms (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))))
▶	0.5b	(/.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))))

▶

0.5b

(/.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 (PI.f64) t)
✓	0.2b	(.f64 3 (.f64 v v))
✓	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))))
✓	0.4b	(.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)

series22.0ms (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))))
3.0ms	t	@	0	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
2.0ms	v	@	0	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
2.0ms	v	@	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))))

rewrite135.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

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

simplify90.0ms (0.9%)

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 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 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))

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)))
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(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)))
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(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 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.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))

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t)))
✓	0.5b	(/.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)))
✓	6.0b	(.f64 (.f64 v v) t)

Compiler

Compiled 96 to 49 computations (49% saved)

series25.0ms (0.3%)

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	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	@	0	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))
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))))

rewrite108.0ms (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))))))

simplify158.0ms (1.6%)

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))))

eval428.0ms (4.3%)

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

prune70.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

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

Error

Counts

328 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(.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)))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
▶	0.8b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 t (-.f64 1 (*.f64 v v)))))
	1.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
	0.5b	(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
	0.3b	(.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 t (-.f64 1 (*.f64 v v)))))
▶	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
	1.2b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
▶	1.4b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
▶	0.3b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
▶	1.2b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))

Compiler

Compiled 478 to 359 computations (24.9% saved)

localize105.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

series18.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

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

rewrite174.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 1 (.f64 v v)))) (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (PI.f64)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) (.f64 t (neg.f64 (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 1 (.f64 v v))))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (fma.f64 v (.f64 v -5) 1)) 1) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (neg.f64 (PI.f64))) (.f64 t (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (PI.f64)) 1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 v (.f64 v -5) 1) -1) (.f64 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simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

264 → 251

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 3 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))))))
(+.f64 (.f64 (pow.f64 v 6) (-.f64 (+.f64 (.f64 -2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (.f64 3 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))))) (+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 3 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))))
(.f64 5 (/.f64 (sqrt.f64 -1/6) (.f64 v (*.f64 t (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))) (.f64 5 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))))) (/.f64 5/36 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (.f64 t (PI.f64))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))) (.f64 5 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))))))) (+.f64 (.f64 1/9 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 5/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (.f64 t (PI.f64))))) (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (.f64 -5/2 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (.f64 t (PI.f64))))) (+.f64 (.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64))))) (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))))))))) (+.f64 (.f64 1/9 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (+.f64 (.f64 5/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/9 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))))
(.f64 -5 (/.f64 (sqrt.f64 -1/6) (.f64 v (*.f64 t (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))) (.f64 5/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (.f64 -5 (/.f64 (sqrt.f64 -1/6) (.f64 v (*.f64 t (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64))))) (.f64 1/9 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))) (.f64 5/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (.f64 -5 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))))))
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(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -5 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -5 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 15/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 -5 (/.f64 (sqrt.f64 1/2) (PI.f64))))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 15/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (pow.f64 v 6) (+.f64 (.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))
(.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (/.f64 5/36 (.f64 v (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (+.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 5/36 (/.f64 1 (.f64 v (.f64 (sqrt.f64 -1/6) (PI.f64)))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (+.f64 (.f64 5/2 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (+.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 5/36 (/.f64 1 (.f64 v (.f64 (sqrt.f64 -1/6) (PI.f64)))))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64)))
(+.f64 (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v)))
(+.f64 (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 3))) (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v))))
(+.f64 (.f64 5 (/.f64 (.f64 v (sqrt.f64 -1/6)) (PI.f64))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5/2 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 3))) (.f64 -1 (/.f64 (+.f64 (.f64 5/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) v)))))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
t
(+.f64 t (.f64 -1 (.f64 (pow.f64 v 2) t)))
(+.f64 t (.f64 -1 (.f64 (pow.f64 v 2) t)))
(+.f64 t (.f64 -1 (.f64 (pow.f64 v 2) t)))
(.f64 -1 (.f64 (pow.f64 v 2) t))
(+.f64 t (.f64 -1 (.f64 (pow.f64 v 2) t)))
(+.f64 t (.f64 -1 (.f64 (pow.f64 v 2) t)))
(+.f64 t (.f64 -1 (.f64 (pow.f64 v 2) t)))
(.f64 -1 (.f64 (pow.f64 v 2) t))
(+.f64 t (.f64 -1 (.f64 (pow.f64 v 2) t)))
(+.f64 t (.f64 -1 (.f64 (pow.f64 v 2) t)))
(+.f64 t (.f64 -1 (.f64 (pow.f64 v 2) t)))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 1 t)
(+.f64 (/.f64 (pow.f64 v 2) t) (/.f64 1 t))
(+.f64 (/.f64 (pow.f64 v 2) t) (+.f64 (/.f64 (pow.f64 v 4) t) (/.f64 1 t)))
(+.f64 (/.f64 (pow.f64 v 2) t) (+.f64 (/.f64 (pow.f64 v 4) t) (+.f64 (/.f64 (pow.f64 v 6) t) (/.f64 1 t))))
(/.f64 -1 (*.f64 (pow.f64 v 2) t))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 v 4) t)) (/.f64 1 (.f64 (pow.f64 v 2) t))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 v 4) t)) (+.f64 (/.f64 1 (.f64 (pow.f64 v 2) t)) (/.f64 1 (*.f64 (pow.f64 v 6) t)))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 v 8) t)) (+.f64 (/.f64 1 (.f64 (pow.f64 v 4) t)) (+.f64 (/.f64 1 (.f64 (pow.f64 v 2) t)) (/.f64 1 (.f64 (pow.f64 v 6) t))))))
(/.f64 -1 (*.f64 (pow.f64 v 2) t))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 v 4) t)) (/.f64 1 (.f64 (pow.f64 v 2) t))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 v 4) t)) (+.f64 (/.f64 1 (.f64 (pow.f64 v 2) t)) (/.f64 1 (*.f64 (pow.f64 v 6) t)))))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 v 8) t)) (+.f64 (/.f64 1 (.f64 (pow.f64 v 4) t)) (+.f64 (/.f64 1 (.f64 (pow.f64 v 2) t)) (/.f64 1 (.f64 (pow.f64 v 6) t))))))

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 t (PI.f64))
✓	0.5b	(/.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	@	0	(*.f64 t (PI.f64))
0.0ms	t	@	inf	(*.f64 t (PI.f64))

rewrite222.0ms (2.3%)

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))))))))

simplify23.0ms (0.2%)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 t (PI.f64))
✓	0.5b	(/.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)))

rewrite131.0ms (1.3%)

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)))))))))

simplify106.0ms (1.1%)

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)))

localize240.0ms (2.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 131 to 74 computations (43.5% saved)

series28.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	t	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
7.0ms	v	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
2.0ms	t	@	0	(.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (*.f64 v v) -3)))))
1.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
1.0ms	v	@	-inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))) (neg.f64 (*.f64 (/.f64 5 (sqrt.f64 2)) (/.f64 (*.f64 v v) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))) (*.f64 (/.f64 5 (sqrt.f64 2)) (/.f64 (*.f64 v v) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (hypot.f64 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simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

149 → 142

Calls

Call 1

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

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

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2)
	0.0b	(.f64 t (-.f64 1 (.f64 v v)))
✓	0.4b	(/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 t (-.f64 1 (*.f64 v v))))
✓	0.5b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (PI.f64)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (.f64 t (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 100 to 63 computations (37% saved)

series14.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite116.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

370×	`expm1-udef_binary64`
370×	`log1p-udef_binary64`
304×	`log-pow_binary64`
219×	`prod-diff_binary64`
216×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	71
1	435	71
2	5707	71

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

Inputs

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

(/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (*.f64 t (-.f64 1 (*.f64 v v))))

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

Outputs

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simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-/l*_binary64`
546×	`associate-*l/_binary64`
489×	`associate-/l/_binary64`
388×	`associate-/r*_binary64`
303×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	3586
1	1041	3383
2	4078	3153

Stop Event

1×	node limit

Counts

183 → 196

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 3 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))))))
(+.f64 (.f64 (pow.f64 v 6) (-.f64 (+.f64 (.f64 -2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))) (.f64 3 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))))) (+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 3 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))))
(.f64 5 (/.f64 (sqrt.f64 -1/6) (.f64 v (*.f64 t (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))) (.f64 5 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))))) (/.f64 5/36 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (.f64 t (PI.f64))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))) (.f64 5 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))))))) (+.f64 (.f64 1/9 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 5/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (.f64 t (PI.f64))))) (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (.f64 -5/2 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (.f64 t (PI.f64))))) (+.f64 (.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))))) (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64))))) (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))))))))) (+.f64 (.f64 1/9 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (+.f64 (.f64 5/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/9 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))))
(.f64 -5 (/.f64 (sqrt.f64 -1/6) (.f64 v (*.f64 t (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))) (.f64 5/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (.f64 -5 (/.f64 (sqrt.f64 -1/6) (.f64 v (*.f64 t (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64))))) (.f64 1/9 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/6) (.f64 t (PI.f64)))) (.f64 5/36 (/.f64 1 (.f64 t (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (.f64 -5 (/.f64 (sqrt.f64 -1/6) (.f64 v (.f64 t (PI.f64)))))))
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(.f64 (/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 (-.f64 1 (pow.f64 v 2)) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
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(/.f64 (sqrt.f64 1/2) t)
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) t) (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) t))))) (/.f64 (sqrt.f64 1/2) t))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) t) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) t))))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) t))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) t)))))) (/.f64 (sqrt.f64 1/2) t)))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) t) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) t))))) (+.f64 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) t))) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) t))) (.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) t))))))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) t))) (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) t)))))) (/.f64 (sqrt.f64 1/2) t))))
(.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) t)))
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(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) t))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) t)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) t))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 t (sqrt.f64 -1/6))))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 t (sqrt.f64 -1/6))))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) t))))))))
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(/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) t))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) t)) (.f64 1/36 (/.f64 1 (.f64 t (sqrt.f64 -1/6))))) (pow.f64 v 5))) (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) t)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) t)) (+.f64 (.f64 1/36 (/.f64 1 (.f64 t (sqrt.f64 -1/6)))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 t (sqrt.f64 -1/6)))))) (pow.f64 v 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) t)) (.f64 1/36 (/.f64 1 (.f64 t (sqrt.f64 -1/6))))) (pow.f64 v 5))) (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) t))))
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(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (.f64 27/8 (.f64 (pow.f64 v 4) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (.f64 27/8 (.f64 (pow.f64 v 4) (sqrt.f64 1/2))) (.f64 135/16 (.f64 (pow.f64 v 6) (sqrt.f64 1/2))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 2))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (*.f64 -2 (log.f64 (/.f64 1 v)))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 2))) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 4))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v))))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 2))) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 6))) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 4))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (*.f64 -2 (log.f64 (/.f64 1 v)))))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 2))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (*.f64 -2 (log.f64 (/.f64 -1 v)))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 2))) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 4))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v))))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 2))) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 4))) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (*.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 6))))))

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 (PI.f64) (sqrt.f64 1/2))))) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) -4 (/.f64 3/4 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))) (.f64 3 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 t (PI.f64)))))))))
(+.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))))))))
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(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (.f64 v v) 2))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) t) (-.f64 1 (.f64 v v)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (.f64 v v) 2))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) t) (-.f64 1 (.f64 v v)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (.f64 v v) 2))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) t) (-.f64 1 (.f64 v v)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (.f64 v v) 2))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) t) (-.f64 1 (.f64 v v)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (.f64 v v) 2))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) t) (-.f64 1 (.f64 v v)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (.f64 v v) 2))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) t) (-.f64 1 (.f64 v v)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (.f64 v v) 2))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) t) (-.f64 1 (.f64 v v)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (.f64 v v) 2))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) t) (-.f64 1 (.f64 v v)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (.f64 t (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (.f64 v v) 2))) (/.f64 1 (.f64 t (-.f64 1 (.f64 v v)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) t) (-.f64 1 (.f64 v v)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (.f64 t (-.f64 1 (*.f64 v v))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 (.f64 3/2 (*.f64 v v)) (sqrt.f64 1/2)))
(.f64 (+.f64 (.f64 (*.f64 v v) 3/2) 1) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (.f64 27/8 (.f64 (pow.f64 v 4) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 3/2 (.f64 (sqrt.f64 1/2) (.f64 v v)) (.f64 (.f64 27/8 (pow.f64 v 4)) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 v v) 3/2) (.f64 (pow.f64 v 4) 27/8))))
(.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (.f64 (.f64 v v) 3/2) 1) (.f64 (pow.f64 v 4) 27/8)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (.f64 27/8 (.f64 (pow.f64 v 4) (sqrt.f64 1/2))) (.f64 135/16 (.f64 (pow.f64 v 6) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 3/2 (.f64 (sqrt.f64 1/2) (.f64 v v)) (fma.f64 27/8 (.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (.f64 135/16 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 3/2 (.f64 (sqrt.f64 1/2) (.f64 v v)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 v 4) 27/8) (*.f64 (pow.f64 v 6) 135/16)))))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (.f64 v v) 3/2) (+.f64 (.f64 (pow.f64 v 4) 27/8) (*.f64 (pow.f64 v 6) 135/16)))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (*.f64 -2 (neg.f64 (log.f64 v)))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -6)))
(*.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 1 v) 1))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 2))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (*.f64 -2 (log.f64 (/.f64 1 v)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (neg.f64 (log.f64 v))))) (.f64 v v)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (*.f64 -2 (neg.f64 (log.f64 v))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -6))) (*.f64 v v)) (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -6))))
(fma.f64 1/6 (/.f64 (.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 1 v) 1)) (.f64 v v)) (*.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 1 v) 1)))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 2))) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 4))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v))))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (neg.f64 (log.f64 v))))) (.f64 v v)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (neg.f64 (log.f64 v))))) (pow.f64 v 4)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (neg.f64 (log.f64 v)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -6))) (*.f64 v v)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -6))) (pow.f64 v 4)) (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -6)))))
(+.f64 (.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 1 v) 1)) (.f64 (/.f64 (.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 1 v) 1)) (.f64 v v)) (+.f64 1/6 (/.f64 1/24 (*.f64 v v)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 2))) (+.f64 (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 6))) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 1 v)))))) (pow.f64 v 4))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (*.f64 -2 (log.f64 (/.f64 1 v)))))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (neg.f64 (log.f64 v))))) (.f64 v v)) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (neg.f64 (log.f64 v))))) (pow.f64 v 6)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (neg.f64 (log.f64 v))))) (pow.f64 v 4)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (*.f64 -2 (neg.f64 (log.f64 v))))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -6))) (*.f64 v v)) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -6))) (pow.f64 v 6)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -6))) (pow.f64 v 4)) (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -6))))))
(+.f64 (+.f64 (.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 1 v) 1)) (.f64 (/.f64 (.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 1 v) 1)) (.f64 v v)) (+.f64 1/6 (/.f64 1/24 (.f64 v v))))) (.f64 5/432 (/.f64 (*.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 1 v) 1)) (pow.f64 v 6))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (*.f64 -2 (log.f64 (/.f64 -1 v)))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -6)))
(*.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 -1 v) 1))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 2))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (*.f64 -2 (log.f64 (/.f64 -1 v)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v))))) (.f64 v v)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (*.f64 -2 (log.f64 (/.f64 -1 v))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -6))) (*.f64 v v)) (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -6))))
(fma.f64 1/6 (/.f64 (pow.f64 -6 -1/2) (/.f64 (.f64 v v) (pow.f64 (/.f64 -1 v) 1))) (.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 -1 v) 1)))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 2))) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 4))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v))))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v))))) (.f64 v v)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v))))) (pow.f64 v 4)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -6))) (*.f64 v v)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -6))) (pow.f64 v 4)) (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -6)))))
(+.f64 (.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 -1 v) 1)) (.f64 (/.f64 (pow.f64 -6 -1/2) (/.f64 (.f64 v v) (pow.f64 (/.f64 -1 v) 1))) (+.f64 1/6 (/.f64 1/24 (.f64 v v)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 2))) (+.f64 (.f64 1/24 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 4))) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (.f64 5/432 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -6) (*.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 6))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v))))) (.f64 v v)) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v))))) (pow.f64 v 4)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -6) (.f64 -2 (log.f64 (/.f64 -1 v))))) (pow.f64 v 6)))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -6))) (*.f64 v v)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -6))) (pow.f64 v 4)) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -6))) (pow.f64 v 6)) (pow.f64 (exp.f64 -1/2) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -6))))))
(+.f64 (fma.f64 5/432 (/.f64 (.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 -1 v) 1)) (pow.f64 v 6)) (.f64 (pow.f64 -6 -1/2) (pow.f64 (/.f64 -1 v) 1))) (.f64 (/.f64 (pow.f64 -6 -1/2) (/.f64 (.f64 v v) (pow.f64 (/.f64 -1 v) 1))) (+.f64 1/6 (/.f64 1/24 (*.f64 v v)))))

eval1.1s (11.5%)

Compiler: Compiled 25678 to 17911 computations (30.2% saved)

prune321.0ms (3.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	767	4	771
Fresh	3	2	5
Picked	1	0	1
Done	1	4	5
Total	772	10	782

Error

Counts

782 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
▶	1.2b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
▶	0.5b	(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
▶	1.5b	(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 (PI.f64)))
▶	0.9b	(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
✓	1.2b	(/.f64 (/.f64 1 (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))))
▶	1.4b	(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
✓	1.4b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))

Compiler

Compiled 269 to 211 computations (21.6% saved)

localize66.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 137 to 77 computations (43.8% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

129 → 107

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite130.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

945×	`pow1_binary64`
879×	`add-log-exp_binary64`
879×	`log1p-expm1-u_binary64`
879×	`expm1-log1p-u_binary64`
860×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	188	17
2	2390	17

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

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

92 → 81

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)))

localize41.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 18 computations (21.7% 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	@	0	(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 (PI.f64)))
0.0ms	t	@	inf	(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 (PI.f64)))
0.0ms	t	@	-inf	(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 (PI.f64)))

rewrite174.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	191	16
2	2475	16

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

97 → 85

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)))

localize12.0ms (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))))
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 t (PI.f64)))

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

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

45 → 45

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 21 computations (19.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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)))

eval337.0ms (3.4%)

Compiler: Compiled 8300 to 5747 computations (30.8% saved)

prune85.0ms (0.9%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	398	5	403
Fresh	0	1	1
Picked	0	1	1
Done	2	6	8
Total	400	13	413

Error

Counts

413 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
✓	1.2b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	1.2b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
▶	1.1b	(/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64))))
✓	0.5b	(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
▶	1.4b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
▶	1.2b	(/.f64 1 (/.f64 (sqrt.f64 2) (/.f64 1 (*.f64 t (PI.f64)))))
✓	0.9b	(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) 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))))
✓	1.4b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
▶	1.4b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))

Compiler

Compiled 284 to 231 computations (18.7% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
398×	`exp-prod_binary64`
305×	`pow-prod-down_binary64`
247×	`pow2_binary64`
177×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	214	29
2	2758	27

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

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

simplify18.0ms (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	276
1	17	276
2	32	276
3	44	276
4	46	276

Stop Event

1×

saturated

Counts

204 → 181

Calls

Call 1

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

localize11.0ms (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)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.5%)

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	10
1	152	10
2	2055	10

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

50 → 39

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)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.5%)

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	10
1	152	10
2	2055	10

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

50 → 39

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)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 22 computations (35.3% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite113.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`pow1_binary64`
915×	`add-log-exp_binary64`
915×	`log1p-expm1-u_binary64`
915×	`expm1-log1p-u_binary64`
104×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	214	29
2	2706	29

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (0.4%)

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	276
1	17	276
2	32	276
3	44	276
4	46	276

Stop Event

1×

saturated

Counts

122 → 99

Calls

Call 1

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 41 to 34 computations (17.1% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
458×	`prod-diff_binary64`
395×	`fma-def_binary64`
278×	`pow2_binary64`
193×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	245	17
2	3446	17

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

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

Outputs

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

simplify12.0ms (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

181 → 170

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)))

eval257.0ms (2.6%)

Compiler: Compiled 8609 to 6581 computations (23.6% saved)

prune115.0ms (1.2%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	634	4	638
Fresh	0	1	1
Picked	0	1	1
Done	2	9	11
Total	636	15	651

Error

Counts

651 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.5b	(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
✓	1.2b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
	1.1b	(/.f64 1 (.f64 (.f64 (sqrt.f64 2) t) (PI.f64)))
✓	0.5b	(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
✓	1.4b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
	1.6b	(/.f64 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) t)
	1.7b	(+.f64 (/.f64 1 t) (*.f64 (/.f64 1 t) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1)))
✓	0.9b	(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
✓	1.2b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
	2.1b	(-.f64 (/.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) t) (/.f64 1 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))))
✓	1.4b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
✓	1.4b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))

Compiler

Compiled 236 to 190 computations (19.5% saved)

regimes260.0ms (2.6%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

151.0ms	(/.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))))
59.0ms	(*.f64 (PI.f64) t)
14.0ms	t
12.0ms	v
7.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.3b	1	`v`
0.3b	1	`t`
0.3b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))`
0.3b	1	`(*.f64 v v)`
0.3b	1	`(*.f64 v v)`
0.3b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 429 to 287 computations (33.1% saved)

regimes78.0ms (0.8%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

6 calls:

15.0ms	(/.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))))
14.0ms	(*.f64 (PI.f64) t)
12.0ms	t
12.0ms	v
8.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.3b	1	`v`
0.3b	1	`t`
0.3b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))`
0.3b	1	`(*.f64 v v)`
0.3b	1	`(*.f64 v v)`
0.3b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 403 to 270 computations (33% saved)

regimes151.0ms (1.5%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

6 calls:

49.0ms	v
24.0ms	(/.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))))
24.0ms	t
18.0ms	(*.f64 (PI.f64) t)
13.0ms	(*.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 377 to 253 computations (32.9% saved)

regimes233.0ms (2.4%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

143.0ms	(/.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))))
26.0ms	(*.f64 (PI.f64) t)
20.0ms	t
20.0ms	v
10.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`t`
0.5b	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))))`
0.5b	1	`(*.f64 v v)`
0.5b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 298 to 204 computations (31.5% saved)

regimes129.0ms (1.3%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

44.0ms	v
21.0ms	(/.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))))
20.0ms	t
20.0ms	(*.f64 (PI.f64) t)
9.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`t`
0.5b	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))))`
0.5b	1	`(*.f64 v v)`
0.5b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 267 to 185 computations (30.7% saved)

regimes275.0ms (2.8%)

Counts

18 → 1

Calls

Call 1

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

Calls

5 calls:

197.0ms	(/.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))))
20.0ms	v
19.0ms	(*.f64 (PI.f64) t)
19.0ms	t
9.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`t`
0.5b	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))))`
0.5b	1	`(*.f64 v v)`
0.5b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 238 to 168 computations (29.4% saved)

regimes61.0ms (0.6%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	t
18.0ms	v
10.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.9b	1	`v`
0.9b	1	`t`
0.9b	1	`(*.f64 v v)`

Compiler

Compiled 175 to 126 computations (28% saved)

regimes40.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	v
10.0ms	t

Results

Error	Segments	Branch
1.1b	1	`v`
1.1b	1	`t`

Compiler

Compiled 50 to 36 computations (28% saved)

regimes18.0ms (0.2%)

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

Calls

2 calls:

8.0ms	t
8.0ms	v

Results

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes17.0ms (0.2%)

Accuracy

Total -0.1b remaining (-10.2%)

Threshold costs -0.1b (-10.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	t
7.0ms	v

Results

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

Compiler

Compiled 20 to 15 computations (25% saved)

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	306
1	124	306
2	149	306
3	161	306
4	168	306
5	169	306

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 220 to 166 computations (24.5% saved)

soundness162.0ms (1.6%)

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)

end330.0ms (3.3%)

Compiler: Compiled 200 to 128 computations (36% saved)