Details

analyze133.0ms (1.4%)

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)

sample1.9s (20.3%)

Results

1.8s	8256×	body	256	valid
2.0ms	14×	body	256	invalid

Bogosity

preprocess55.0ms (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)

simplify40.0ms (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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.4b

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

▶

0.4b

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

Compiler

Compiled 56 to 39 computations (30.4% saved)

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 125 to 71 computations (43.2% saved)

series24.0ms (0.3%)

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 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
3.0ms	t	@	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))))
2.0ms	t	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
2.0ms	v	@	0	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

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

simplify175.0ms (1.9%)

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

localize58.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t)))
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
✓	1.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))
✓	7.3b	(.f64 (.f64 v v) t)

Compiler

Compiled 96 to 49 computations (49% saved)

series24.0ms (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	@	-inf	(.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t)))
3.0ms	t	@	0	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
2.0ms	v	@	inf	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
2.0ms	t	@	-inf	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))

rewrite138.0ms (1.5%)

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))))))

simplify113.0ms (1.2%)

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))))

eval312.0ms (3.3%)

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

prune58.0ms (0.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	317	9	326
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	317	11	328

Error

Counts

328 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
▶	1.0b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
▶	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))
	1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
▶	1.3b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	1.0b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
	0.8b	(.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))))
▶	0.7b	(.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)))
	0.4b	(.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)))))

Compiler

Compiled 450 to 333 computations (26% saved)

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 t (-.f64 1 (.f64 v v)))
✓	0.4b	(/.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 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (.f64 t (-.f64 1 (*.f64 v v)))))
✓	1.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))

Compiler

Compiled 114 to 73 computations (36% saved)

series17.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

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

rewrite119.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

368×	`expm1-udef_binary64`
368×	`log1p-udef_binary64`
216×	`prod-diff_binary64`
216×	`add-sqr-sqrt_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	98
1	435	98
2	5947	98

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

Outputs
((#(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 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (fma.f64 v (.f64 v -5) 1) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) 2) (cbrt.f64 (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 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (fma.f64 v (.f64 v -5) 1) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) 2) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (pow.f64 (fma.f64 v (.f64 v -6) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 pow.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (fma.f64 v (.f64 v -5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.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 log.f64 (exp.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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 3) (pow.f64 (fma.f64 v (.f64 v -6) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 log1p.f64 (expm1.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 exp.f64 (log.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 exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))) 1))))))
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simplify201.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

919×	`associate-/l*_binary64`
456×	`cancel-sign-sub-inv_binary64`
421×	`associate-/r*_binary64`
342×	`fma-def_binary64`
248×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	4026
1	1158	3847
2	4500	3746

Stop Event

1×	node limit

Counts

268 → 263

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

51 → 51

Calls

Call 1

Inputs

Outputs

localize36.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 t (PI.f64))
✓	0.4b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
✓	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite202.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

71 → 61

Calls

Call 1

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

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

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 122 to 74 computations (39.3% saved)

series14.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite177.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`log-prod_binary64`
367×	`fma-def_binary64`
355×	`pow2_binary64`
274×	`pow-unpow_binary64`
247×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	282	31
2	3725	31

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 9/2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 9/2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 t (fma.f64 (sqrt.f64 9/2) (*.f64 v v) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 9/2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64)))) 1) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) (PI.f64)) (fma.f64 (sqrt.f64 9/2) (*.f64 v v) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) (PI.f64)) (fma.f64 (sqrt.f64 9/2) (*.f64 v v) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) (PI.f64)) (fma.f64 (sqrt.f64 9/2) (*.f64 v v) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) (PI.f64)) (fma.f64 (sqrt.f64 9/2) (*.f64 v v) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 t (fma.f64 (sqrt.f64 9/2) (*.f64 v v) (sqrt.f64 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 9/2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64)))) 3) (pow.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) 3)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 9/2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64)))) 2) (-.f64 (pow.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) 2) (*.f64 (*.f64 (sqrt.f64 9/2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 9/2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64)))) 2) (pow.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) 2)) (fma.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 9/2) (*.f64 v v))) (neg.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 9/2) (*.f64 v v)) 3) (pow.f64 2 3/2)) (*.f64 t (PI.f64))) (-.f64 (fma.f64 9/2 (pow.f64 v 4) 2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 9/2) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 9/2 (pow.f64 v 4) -2) (*.f64 t (PI.f64))) (-.f64 (*.f64 (sqrt.f64 9/2) (*.f64 v v)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t (PI.f64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 9/2) (*.f64 v v)) 3) (pow.f64 2 3/2))) (-.f64 (fma.f64 9/2 (pow.f64 v 4) 2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 9/2) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 9/2 (pow.f64 v 4) -2)) (-.f64 (*.f64 (sqrt.f64 9/2) (*.f64 v v)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 t (fma.f64 (sqrt.f64 9/2) (*.f64 v v) (sqrt.f64 2)))) 1)))) 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simplify241.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

897×	`unswap-sqr_binary64`
782×	`fma-def_binary64`
666×	`fabs-mul_binary64`
649×	`cube-prod_binary64`
509×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	654
1	49	654
2	131	654
3	419	612
4	1372	612
5	1842	612
6	2174	612
7	2663	612
8	3024	612
9	3158	612
10	3353	612
11	3581	612
12	3894	612
13	4333	612
14	6068	612
15	7051	612

Stop Event

1×	node limit

Counts

148 → 121

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 t (PI.f64)))
(.f64 (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 2)) (.f64 t (PI.f64)))
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(.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 t (PI.f64)))
(.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 t (PI.f64)))
(.f64 (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 t (PI.f64)))
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(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
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(.f64 -3/2 (.f64 (sqrt.f64 2) (pow.f64 v 2)))

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

localize63.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 100 to 63 computations (37% saved)

series11.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite104.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	72
1	435	72
2	5707	72

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify160.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-/l*_binary64`
612×	`associate-l_binary64`
518×	`associate-*r/_binary64`
457×	`associate-*l/_binary64`
368×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	2813
1	769	2696
2	3078	2604

Stop Event

1×	node limit

Counts

199 → 204

Calls

Call 1

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

Outputs
(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 (.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 3/4 (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(fma.f64 3/4 (/.f64 (/.f64 (*.f64 v v) (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 3/4 (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 1/2 (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (pow.f64 v 4)) (.f64 3/4 (.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))))))
(+.f64 (fma.f64 3/4 (/.f64 (/.f64 (.f64 v v) (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (*.f64 (/.f64 (pow.f64 v 4) (PI.f64)) 1/2)))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 3/4 (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 v 6) (sqrt.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)))) (PI.f64))) (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64)))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (fma.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (/.f64 (+.f64 27/2 (.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (PI.f64)) (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (pow.f64 v 4))) (.f64 3/4 (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))))))
(+.f64 (fma.f64 3/4 (/.f64 (/.f64 (.f64 v v) (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 (/.f64 1/2 (sqrt.f64 1/2)) (+.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (PI.f64))) (.f64 (pow.f64 v 6) (/.f64 135/16 (PI.f64))))))
(/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))
(/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))
(-.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 1/36 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (-.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))) (/.f64 1/36 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 (/.f64 -1/2 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (-.f64 (.f64 -1/2 (+.f64 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)) 1/162) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))) (/.f64 1/36 (.f64 (pow.f64 v 3) (.f64 (PI.f64) (sqrt.f64 -1/6))))))
(+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))) (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))
(+.f64 (.f64 (/.f64 -1/2 (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) 1/162) (pow.f64 v 7)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 -1/36 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(neg.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)))
(/.f64 (neg.f64 (sqrt.f64 -1/6)) (*.f64 (PI.f64) v))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64))) v)
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (/.f64 1/36 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))
(-.f64 (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3)))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 1/36 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)) 1/162) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v)) (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))) (/.f64 1/36 (.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))))
(fma.f64 1/2 (/.f64 (+.f64 (.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) 1/162) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 1/36 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) v))))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))
(+.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 (PI.f64) t)) (.f64 (.f64 v v) (fma.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t))))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) -4 (/.f64 (/.f64 3/4 (.f64 (sqrt.f64 1/2) t)) (PI.f64))) (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) -4 (/.f64 3/4 (.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)))
(+.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 (PI.f64) t)) (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 (PI.f64) t))) (.f64 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) -4)) (/.f64 3 (.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)))) (.f64 (.f64 v v) (fma.f64 -4 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)))))))
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(+.f64 (+.f64 (/.f64 4 (.f64 v (.f64 v t))) (+.f64 (/.f64 5 t) (/.f64 (/.f64 4 t) (pow.f64 v 6)))) (/.f64 4 (*.f64 (pow.f64 v 4) t)))
(+.f64 (+.f64 (/.f64 5 t) (+.f64 (/.f64 4 (.f64 (pow.f64 v 4) t)) (/.f64 4 (.f64 v (.f64 v t))))) (/.f64 4 (.f64 (pow.f64 v 6) t)))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (.f64 -5 (pow.f64 v 2))) (.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 t (-.f64 1 (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (-.f64 1 (*.f64 v v))))

eval886.0ms (9.4%)

Compiler: Compiled 24007 to 16338 computations (31.9% saved)

prune127.0ms (1.4%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	755	8	763
Fresh	1	3	4
Picked	1	0	1
Done	1	5	6
Total	758	16	774

Error

Counts

774 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (.f64 v v)))) (PI.f64)))
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
✓	1.0b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))
▶	1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
✓	1.3b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	1.0b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
	0.8b	(.f64 (fma.f64 -4 (/.f64 v (/.f64 t v)) (/.f64 1 t)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
	1.1b	(.f64 (pow.f64 1/2 1/4) (.f64 (pow.f64 1/2 1/4) (/.f64 (/.f64 1 t) (PI.f64))))
▶	1.0b	(*.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))
▶	1.4b	(*.f64 (/.f64 (/.f64 1 t) (PI.f64)) (sqrt.f64 1/2))
	0.4b	(.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 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
▶	1.3b	(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
	45.7b	(sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2)))

Compiler

Compiled 469 to 371 computations (20.9% saved)

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 t (-.f64 1 (.f64 v v)))
✓	0.3b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (.f64 v v)))) (PI.f64)))
✓	0.3b	(.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (*.f64 v v)))) (PI.f64))
✓	0.5b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (.f64 v v))))

Compiler

Compiled 105 to 64 computations (39% saved)

series77.0ms (0.8%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
65.0ms	v	@	inf	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (.f64 v v)))) (PI.f64)))
1.0ms	v	@	0	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (.f64 v v))))
1.0ms	v	@	inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (.f64 v v))))
1.0ms	v	@	inf	(.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (*.f64 v v)))) (PI.f64))
1.0ms	v	@	0	(.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (*.f64 v v)))) (PI.f64))

rewrite125.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

349×	`pow1/3_binary64`
337×	`expm1-udef_binary64`
337×	`log1p-udef_binary64`
315×	`pow3_binary64`
281×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	84
1	400	84
2	5090	84

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

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

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

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

Outputs

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

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simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

726×	`associate-*l/_binary64`
453×	`associate-/l/_binary64`
333×	`associate-/r*_binary64`
322×	`fma-def_binary64`
310×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	3613
1	1055	3475
2	4593	3281

Stop Event

1×	node limit

Counts

166 → 170

Calls

Call 1

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

localize11.0ms (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)))

rewrite69.0ms (0.7%)

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))))))))

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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)))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 18 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`pow1_binary64`
817×	`add-log-exp_binary64`
817×	`log1p-expm1-u_binary64`
817×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	187	18
2	2305	18

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-/r*_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	216
1	16	216
2	20	216

Stop Event

1×

saturated

Counts

78 → 56

Calls

Call 1

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

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

localize76.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 71 to 38 computations (46.5% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

12 calls:

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

rewrite166.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	354	48
2	4877	46

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

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 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 (PI.f64)) t) (sqrt.f64 2)))))) (#(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 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 exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) 1))))))

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

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

214 → 196

Calls

Call 1

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

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

localize49.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 25 computations (16.7% saved)

series77.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
60.0ms	t	@	0	(/.f64 (pow.f64 1/2 1/4) t)
13.0ms	t	@	inf	(/.f64 (pow.f64 1/2 1/4) t)
1.0ms	t	@	0	(*.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))
1.0ms	t	@	-inf	(/.f64 (pow.f64 1/2 1/4) t)
1.0ms	t	@	inf	(*.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))

rewrite171.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

Outputs

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

simplify251.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

154 → 132

Calls

Call 1

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

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

eval609.0ms (6.5%)

Compiler: Compiled 24571 to 16156 computations (34.2% saved)

prune106.0ms (1.1%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	679	6	685
Fresh	3	3	6
Picked	1	0	1
Done	2	7	9
Total	685	16	701

Error

Counts

701 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (.f64 v v)))) (PI.f64)))
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
	1.3b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
▶	1.3b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
✓	1.0b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
▶	1.0b	(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))
✓	1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
✓	1.3b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	0.9b	(/.f64 1 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) t))
	0.8b	(.f64 (fma.f64 -4 (/.f64 v (/.f64 t v)) (/.f64 1 t)) (/.f64 (pow.f64 (fma.f64 v (.f64 v -6) 2) -1/2) (PI.f64)))
▶	0.4b	(.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 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
▶	0.9b	(*.f64 (/.f64 1 t) (pow.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) -1))
	1.5b	(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))

Compiler

Compiled 409 to 324 computations (20.8% saved)

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 137 to 77 computations (43.8% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 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	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	@	inf	(.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v))))

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`prod-diff_binary64`
465×	`fma-def_binary64`
330×	`expm1-udef_binary64`
329×	`log1p-udef_binary64`
268×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	390	55
2	5133	55

Stop Event

1×	node limit

Counts

3 → 88

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)))))

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

Outputs

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

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

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

780×	`associate-*l/_binary64`
536×	`associate-*r/_binary64`
426×	`distribute-lft-out_binary64`
409×	`associate-/l/_binary64`
399×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	1423
1	188	1399
2	667	1385
3	2836	1300
4	6056	1236
5	7856	1236

Stop Event

1×	node limit

Counts

148 → 116

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.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)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

81 → 70

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (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

63 → 51

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

983×	`pow1_binary64`
915×	`add-log-exp_binary64`
915×	`log1p-expm1-u_binary64`
915×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	193	10
2	2553	10

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify10.0ms (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

54 → 43

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)))

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 32 to 26 computations (18.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
371×	`exp-prod_binary64`
332×	`prod-exp_binary64`
288×	`pow-prod-down_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	225	10
2	2641	10

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify37.0ms (0.4%)

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

76 → 65

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)))

eval137.0ms (1.5%)

Compiler: Compiled 7279 to 4973 computations (31.7% saved)

prune98.0ms (1%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	369	2	371
Fresh	1	3	4
Picked	1	0	1
Done	1	10	11
Total	372	15	387

Error

Counts

387 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -6) 2)) (.f64 t (-.f64 1 (.f64 v v)))) (PI.f64)))
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (-.f64 t (.f64 (*.f64 v v) t))))
	1.3b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
✓	1.3b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
✓	1.0b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
✓	1.0b	(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) -3/2) (.f64 v v)) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))
✓	1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
✓	1.3b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	0.9b	(/.f64 1 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) t))
	0.3b	(.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 t (.f64 (sqrt.f64 2) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
✓	1.4b	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
	1.0b	(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 1 t) (pow.f64 1/2 -1/2)))
	1.5b	(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))

Compiler

Compiled 259 to 202 computations (22% saved)

regimes152.0ms (1.6%)

Counts

27 → 1

Calls

Call 1

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

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:

29.0ms	(/.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)
26.0ms	t
25.0ms	v
11.0ms	(*.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 477 to 317 computations (33.5% saved)

regimes133.0ms (1.4%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	(/.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	t
25.0ms	(*.f64 (PI.f64) t)
24.0ms	v
10.0ms	(*.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 (PI.f64) t)`

Compiler

Compiled 420 to 282 computations (32.9% saved)

regimes111.0ms (1.2%)

Counts

20 → 1

Calls

Call 1

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

22.0ms	(/.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))))
22.0ms	v
22.0ms	(*.f64 (PI.f64) t)
20.0ms	t
9.0ms	(*.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 (PI.f64) t)`

Compiler

Compiled 295 to 203 computations (31.2% saved)

regimes48.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

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

Calls

3 calls:

16.0ms	t
15.0ms	v
8.0ms	(*.f64 v v)

Results

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

Compiler

Compiled 130 to 92 computations (29.2% saved)

regimes27.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	v
11.0ms	t

Results

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

Compiler

Compiled 58 to 41 computations (29.3% saved)

regimes25.0ms (0.3%)

Accuracy

Total -0.4b remaining (-29.3%)

Threshold costs -0.4b (-29.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	t
10.0ms	v

Results

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

Compiler

Compiled 50 to 36 computations (28% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	176
1	94	176
2	111	176
3	119	176
4	123	176

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 127 to 98 computations (22.8% saved)

soundness108.0ms (1.2%)

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)

end65.0ms (0.7%)

Compiler: Compiled 115 to 76 computations (33.9% saved)