Details

analyze114.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 31 to 22 computations (29% saved)

sample1.7s (22.9%)

Results

1.6s	8256×	body	256	valid
1.0ms	9×	body	256	invalid

preprocess49.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

710×	`associate-/l*_binary64`
534×	`associate-l_binary64`
494×	`associate-r_binary64`
440×	`associate-*l/_binary64`
322×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	86
1	102	86
2	363	76
3	1860	72
4	7874	72
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
720×	`distribute-neg-frac_binary64`
592×	`fma-def_binary64`
467×	`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	949	36
4	5128	36

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 54 to 37 computations (31.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

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

▶

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 40 computations (28.6% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) t)
	0.2b	(.f64 3 (.f64 v v))
	0.2b	(.f64 5 (.f64 v v))
	0.0b	(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v)))
✓	0.2b	(.f64 3 (.f64 v v))
✓	0.3b	(*.f64 (PI.f64) t)
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	0.5b	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

series23.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
3.0ms	t	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
2.0ms	t	@	0	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
1.0ms	v	@	0	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
1.0ms	v	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))

rewrite116.0ms (1.6%)

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	6178	71

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-/l*_binary64`
449×	`associate-*l/_binary64`
431×	`associate-*r/_binary64`
419×	`associate-+l+_binary64`
268×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2825
1	660	2786
2	2902	2702

Stop Event

1×	node limit

Counts

168 → 149

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))
	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1)))))
	0.3b	(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
	0.0b	(*.f64 (PI.f64) (fma.f64 v v -1))
✓	0.0b	(*.f64 (PI.f64) (fma.f64 v v -1))
✓	0.3b	(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
✓	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1)))))
✓	1.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))

series23.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

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

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

341×	`pow1/3_binary64`
331×	`expm1-udef_binary64`
331×	`log1p-udef_binary64`
309×	`pow3_binary64`
273×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	79
1	413	75
2	5331	75

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

Inputs
(/.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 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1)))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(*.f64 (PI.f64) (fma.f64 v v -1))

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

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

997×	`times-frac_binary64`
552×	`associate-/l*_binary64`
448×	`associate-*l/_binary64`
260×	`fma-def_binary64`
256×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	2890
1	819	2696
2	3290	2532

Stop Event

1×	node limit

Counts

213 → 201

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

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

eval256.0ms (3.5%)

Compiler: Compiled 13258 to 9211 computations (30.5% saved)

prune63.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	339	11	350
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	340	12	352

Error

Counts

352 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.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))))
▶	1.2b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	0.5b	(.f64 (/.f64 (neg.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))) (/.f64 (/.f64 1 t) (.f64 (PI.f64) (fma.f64 v v -1))))
✓	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))))
	41.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) t) 3)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
	0.4b	(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 -5 v) v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 v v) -3)))))
	41.4b	(cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (.f64 (PI.f64) t)) (fma.f64 v (neg.f64 v) 1)) 3))
▶	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
▶	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (.f64 (fma.f64 v v -1) (neg.f64 t))))
	0.7b	(.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (.f64 t (PI.f64)) (fma.f64 v v -1))) (neg.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
▶	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (pow.f64 (.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))) 1) (-.f64 1 (.f64 v v))))
	0.9b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))

Compiler

Compiled 590 to 437 computations (25.9% saved)

localize18.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(/.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)))
	0.3b	(/.f64 1 (*.f64 (PI.f64) t))
	0.3b	(*.f64 (PI.f64) t)
	0.0b	(.f64 (sqrt.f64 (.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))
✓	0.0b	(.f64 (sqrt.f64 (.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))
	0.3b	(*.f64 (PI.f64) t)
✓	0.3b	(/.f64 1 (*.f64 (PI.f64) t))
✓	0.4b	(/.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)))

series16.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	v	@	-inf	(/.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)))
3.0ms	t	@	0	(/.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)))
2.0ms	v	@	inf	(/.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)))
1.0ms	v	@	0	(/.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)))
1.0ms	t	@	inf	(/.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)))

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
279×	`pow1/3_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`
255×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	353	58
2	4489	58

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs

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

(*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))

Outputs

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-+l+_binary64`
710×	`associate-r_binary64`
522×	`associate-/l*_binary64`
437×	`*-commutative_binary64`
329×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2369
1	668	2224
2	2692	2150

Stop Event

1×	node limit

Counts

145 → 146

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (.f64 47/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))))
(+.f64 (.f64 229/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 47/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))
(.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64)))))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (PI.f64)))))) (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (PI.f64)))))) (+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64)))))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (PI.f64)))))) (.f64 1/2 (/.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 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 1/2 (/.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 1/2 (/.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 9) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (PI.f64)))))) (+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 9) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 9) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64)))))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (PI.f64)))))) (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 9) (*.f64 t (PI.f64)))))))))))))))
(/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 t (PI.f64)))))
(+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))) (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))) (pow.f64 v 5))))
(+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))) (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))) (pow.f64 v 5))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.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 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))) (pow.f64 v 7)))))
(+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))) (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))) (pow.f64 v 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.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 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 1/2 (/.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 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))))) (pow.f64 v 9))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.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 (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))))) (pow.f64 v 7))))))
(/.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)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2)))) (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2)))) (.f64 (+.f64 (.f64 -27/16 (sqrt.f64 2)) (*.f64 9/8 (sqrt.f64 2))) (pow.f64 v 6)))))
(.f64 -1 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))))

Outputs
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
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(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
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(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
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(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (.f64 -1 (pow.f64 v 2))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (+.f64 1 (neg.f64 (.f64 v v))) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -3 1))) (.f64 t (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (*.f64 v v)) (PI.f64)))))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
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(+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 t (PI.f64)))))
(fma.f64 5/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))
(fma.f64 5/2 (/.f64 v (/.f64 (.f64 t (PI.f64)) (/.f64 v (sqrt.f64 2)))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (.f64 47/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))))
(fma.f64 47/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 t (PI.f64))))))
(fma.f64 47/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 5/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))))
(fma.f64 47/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 5/2 (/.f64 v (/.f64 (.f64 t (PI.f64)) (/.f64 v (sqrt.f64 2)))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (.f64 229/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 47/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))
(fma.f64 229/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 47/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 5/2 (/.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 t (PI.f64)))))))
(fma.f64 229/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 47/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 5/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))))
(fma.f64 229/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 47/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 5/2 (/.f64 v (/.f64 (.f64 t (PI.f64)) (/.f64 v (sqrt.f64 2)))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))))
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(-.f64 (-.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (PI.f64) (.f64 t (.f64 (sqrt.f64 2) (pow.f64 v 3))))) (/.f64 (-.f64 (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (pow.f64 v 5))) (+.f64 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (-.f64 (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))) (pow.f64 v 7)) (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 1/81 (.f64 -1/6 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))))) (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))) (pow.f64 v 9))))
(/.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)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/2)))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/2) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2)))) (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/2) (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8))))
(+.f64 (sqrt.f64 2) (fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/2) (.f64 (sqrt.f64 2) (.f64 3/8 (pow.f64 v 4)))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 4) 3/8) (.f64 (.f64 v v) -5/2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2)))) (.f64 (+.f64 (.f64 -27/16 (sqrt.f64 2)) (*.f64 9/8 (sqrt.f64 2))) (pow.f64 v 6)))))
(+.f64 (sqrt.f64 2) (fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/2) (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/16)))))
(+.f64 (sqrt.f64 2) (fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/2) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 4) 3/8) (*.f64 (pow.f64 v 6) -9/16)))))
(.f64 -1 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 (neg.f64 (sqrt.f64 2)) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(.f64 (pow.f64 v 3) (.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 -3)))
(+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 (pow.f64 v 3) (*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 -3))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))
(+.f64 (/.f64 (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) v) (fma.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (-.f64 (.f64 (/.f64 (sqrt.f64 2) v) (+.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 1/8 (.f64 -3 (sqrt.f64 -3))))) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))))
(+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))))
(fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))))
(+.f64 (/.f64 (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) v) (+.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (pow.f64 v 3))) (fma.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 -1/8 (.f64 -3 (sqrt.f64 -3))))) (-.f64 (.f64 (/.f64 (sqrt.f64 2) v) (+.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 1/8 (.f64 -3 (sqrt.f64 -3))))) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3))))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 -1 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(fma.f64 -1 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (neg.f64 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v))))
(-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (/.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))
(-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))))
(fma.f64 -1 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3)) (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (neg.f64 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v)))))
(-.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (/.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3))) (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(-.f64 (-.f64 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v)) (+.f64 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3))))

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

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

rewrite51.0ms (0.7%)

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

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

51 → 51

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series14.0ms (0.2%)

Counts

3 → 36

Calls

12 calls:

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

rewrite158.0ms (2.2%)

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	4872	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 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1)))))))) (sqrt.f64 (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))))) (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 (*.f64 v v) (fma.f64 v (neg.f64 v) 1))) (/.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 (fma.f64 v (neg.f64 v) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 (*.f64 v v) (fma.f64 v (neg.f64 v) 1)) (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 5 (fma.f64 v (neg.f64 v) 1))) (/.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 (fma.f64 v (neg.f64 v) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)) (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 (*.f64 v (sqrt.f64 5)) (fma.f64 v (neg.f64 v) 1))) (/.f64 (*.f64 v (sqrt.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 (fma.f64 v (neg.f64 v) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 (*.f64 v (sqrt.f64 5)) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 (*.f64 v (sqrt.f64 5)) (fma.f64 v (neg.f64 v) 1)) (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v 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((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 v v) -5 1) 3) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))) (neg.f64 (*.f64 5 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 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(*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1)))))) 1))))))

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

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-/r/_binary64`
469×	`div-sub_binary64`
463×	`associate-/r*_binary64`
413×	`distribute-lft-out_binary64`
364×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	978
1	173	978
2	636	940
3	2992	855
4	4524	791
5	7665	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))))))
(fma.f64 -4 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))))
(+.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)))))))
(fma.f64 -4 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.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 v v) (+.f64 (pow.f64 v 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 (/.f64 4 (PI.f64)) (.f64 t (.f64 v v))) (sqrt.f64 2)) (/.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 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 4 (.f64 (sqrt.f64 2) (.f64 t (*.f64 (PI.f64) (pow.f64 v 4)))))))
(+.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (.f64 t (.f64 v v))) (sqrt.f64 2)) (+.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) (.f64 v v))))) (+.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 4 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (pow.f64 v 4)))))))
(+.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (.f64 t (.f64 v v))) (sqrt.f64 2)) (+.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 (pow.f64 v 4)) 5)) (.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(.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 6)) (/.f64 4 (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 (/.f64 4 (PI.f64)) (.f64 t (.f64 v v))) (sqrt.f64 2)) (/.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 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 4 (.f64 (sqrt.f64 2) (.f64 t (*.f64 (PI.f64) (pow.f64 v 4)))))))
(+.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (.f64 t (.f64 v v))) (sqrt.f64 2)) (+.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) (.f64 v v))))) (+.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 4 (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (pow.f64 v 4)))))))
(+.f64 (/.f64 (/.f64 (/.f64 4 (PI.f64)) (.f64 t (.f64 v v))) (sqrt.f64 2)) (+.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 (pow.f64 v 4)) 5)) (.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(.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 6)) (/.f64 4 (pow.f64 v 4)))))
(/.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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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 t (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (sqrt.f64 2)) (.f64 t (neg.f64 (*.f64 (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))

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))
	0.2b	(.f64 5 (.f64 v v))
	0.0b	(.f64 (pow.f64 (.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))) 1) (-.f64 1 (.f64 v v)))
	0.0b	(.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (*.f64 v v) -3 1))))
✓	0.0b	(.f64 (pow.f64 (.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))) 1) (-.f64 1 (.f64 v v)))
	0.2b	(.f64 5 (.f64 v v))
✓	0.2b	(.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (pow.f64 (.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))) 1) (-.f64 1 (.f64 v v))))

series15.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite179.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`prod-diff_binary64`
352×	`expm1-udef_binary64`
350×	`log1p-udef_binary64`
208×	`add-sqr-sqrt_binary64`
200×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	425	90
2	5547	90

Stop Event

1×	node limit

Counts

3 → 179

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

659×	`associate-*r/_binary64`
603×	`associate-*l/_binary64`
361×	`associate-/l/_binary64`
299×	`associate-r_binary64`
286×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	3917
1	885	3772
2	4018	3591

Stop Event

1×	node limit

Counts

251 → 254

Calls

Call 1

Inputs
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(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -3) (PI.f64))))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 -3)))) v))))
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Outputs
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -5/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -5/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))
(fma.f64 -5/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2)))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))))
(fma.f64 -5/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(fma.f64 -5/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (fma.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))))
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(.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))
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(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (PI.f64) (sqrt.f64 -3)))) (neg.f64 (fma.f64 v (fma.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -3))) (/.f64 (.f64 -1/2 (sqrt.f64 2)) (/.f64 (sqrt.f64 -3) (.f64 t (PI.f64))))) (/.f64 (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 t (PI.f64))) (.f64 -1/24 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 t (PI.f64))))) v))))
(-.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 -3)))) (fma.f64 v (fma.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 -3)) (.f64 (/.f64 -1/2 (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (/.f64 t (sqrt.f64 -3)) (PI.f64))) 11/24) v)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (pow.f64 (sqrt.f64 -3) 5))) (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -3) (PI.f64))))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (sqrt.f64 -3)))) v)))))
(fma.f64 -1 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 (sqrt.f64 -3) 5) (.f64 t (PI.f64)))) (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3)) (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (PI.f64) (sqrt.f64 -3)))) (fma.f64 -1 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) (.f64 t (PI.f64)))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -3)))))) (neg.f64 (/.f64 (fma.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (pow.f64 (sqrt.f64 -3) 3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) (.f64 t (PI.f64)))))) v)))))
(-.f64 (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (PI.f64) (sqrt.f64 -3)))) (neg.f64 (fma.f64 v (fma.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) (sqrt.f64 -3))) (/.f64 (.f64 -1/2 (sqrt.f64 2)) (/.f64 (sqrt.f64 -3) (.f64 t (PI.f64))))) (/.f64 (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 t (PI.f64))) (.f64 -1/24 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 t (PI.f64))))) v)))) (/.f64 (fma.f64 -1/16 (/.f64 (.f64 t (PI.f64)) (/.f64 (pow.f64 (sqrt.f64 -3) 5) (sqrt.f64 2))) (.f64 1/24 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 t (PI.f64))))) (pow.f64 v 3)))
(-.f64 (-.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 -3)))) (fma.f64 v (fma.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 -3)) (.f64 (/.f64 -1/2 (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (/.f64 t (sqrt.f64 -3)) (PI.f64))) 11/24) v))) (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -3) 5)) t)) (/.f64 (.f64 1/24 (sqrt.f64 2)) (/.f64 (sqrt.f64 -3) (.f64 t (PI.f64))))) (pow.f64 v 3)))

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	v	@	0	(.f64 (PI.f64) (.f64 (fma.f64 v v -1) (neg.f64 t)))
1.0ms	v	@	0	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (.f64 (fma.f64 v v -1) (neg.f64 t))))
1.0ms	v	@	inf	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (.f64 (fma.f64 v v -1) (neg.f64 t))))
1.0ms	v	@	-inf	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (.f64 (fma.f64 v v -1) (neg.f64 t))))
0.0ms	t	@	-inf	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (PI.f64) (.f64 (fma.f64 v v -1) (neg.f64 t))))

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

340×	`pow1/3_binary64`
329×	`expm1-udef_binary64`
329×	`log1p-udef_binary64`
307×	`pow3_binary64`
272×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	50
1	411	46
2	5317	46

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 2) (fma.f64 v (*.f64 v -6) 2))) (PI.f64)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (fma.f64 t (*.f64 v v) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (fma.f64 t (*.f64 v v) t)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 v v) t)) (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 t (*.f64 v v) t)) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 2) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 t (*.f64 v v) t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 t (*.f64 v v) t) 3) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) (fma.f64 v v -1)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 t) (fma.f64 v v -1)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 t) (fma.f64 v v -1)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 t (*.f64 v v) t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 t (*.f64 v v) t) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (fma.f64 t (*.f64 v v) t))) 1))))))

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-def_binary64`
793×	`times-frac_binary64`
645×	`associate-l_binary64`
402×	`associate-/l*_binary64`
372×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	2183
1	551	1977
2	2378	1920

Stop Event

1×	node limit

Counts

129 → 112

Calls

Call 1

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

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

eval871.0ms (12%)

Compiler: Compiled 50087 to 32882 computations (34.4% saved)

prune126.0ms (1.7%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	854	10	864
Fresh	5	1	6
Picked	1	0	1
Done	2	3	5
Total	862	14	876

Error

Counts

876 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
	0.8b	(*.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))
✓	1.2b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	0.9b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
	0.4b	(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 -5 v) v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 v v) -3)))))
	34.7b	(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
▶	44.4b	(sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2)))
	1.0b	(.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (.f64 t (PI.f64))))
✓	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
	1.9b	(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 3)
▶	1.2b	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
▶	0.4b	(.f64 (/.f64 1 (.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))) (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (-.f64 1 (.f64 v v))))
▶	1.0b	(.f64 (pow.f64 1/2 1/4) (.f64 (pow.f64 1/2 1/4) (/.f64 1 (*.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))))

Compiler

Compiled 400 to 332 computations (17% saved)

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))
	0.2b	(.f64 (.f64 v v) -5)
	0.0b	(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (-.f64 1 (*.f64 v v)))
	0.0b	(.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (*.f64 v v) -3 1))))
✓	0.0b	(/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (-.f64 1 (*.f64 v v)))
✓	0.2b	(.f64 (.f64 v v) -5)
	0.2b	(.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))
✓	0.3b	(/.f64 1 (.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))))))

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`prod-diff_binary64`
420×	`fma-def_binary64`
349×	`expm1-udef_binary64`
348×	`log1p-udef_binary64`
206×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	49
1	414	47
2	5336	47

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

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

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

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

904×	`associate-/r*_binary64`
791×	`times-frac_binary64`
536×	`fma-neg_binary64`
444×	`cancel-sign-sub-inv_binary64`
374×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1346
1	313	1261
2	1103	1240
3	6078	1206

Stop Event

1×	node limit

Counts

130 → 124

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(+.f64 (.f64 3/2 (/.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 3/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 27/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))))
(+.f64 (.f64 3/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (+.f64 (.f64 135/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 27/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))
(/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (*.f64 t (PI.f64)))))
(-.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))) (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))) (.f64 -1/2 (/.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 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))
(-.f64 (+.f64 (.f64 -1/2 (/.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 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))) (.f64 -1/2 (/.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 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))
(.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))
(+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (*.f64 t (PI.f64)))))))
(+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 1/2 (/.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 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))))
(+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 1/2 (/.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 (.f64 1/2 (/.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 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.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))
1
(+.f64 (*.f64 -4 (pow.f64 v 2)) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) 1))
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) (+.f64 1 (*.f64 -4 (pow.f64 v 6)))))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))

Outputs
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (pow.f64 v 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 -3 (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (.f64 v v) 1))) (.f64 (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 (/.f64 1 (PI.f64)) (*.f64 (sqrt.f64 2) t))
(+.f64 (.f64 3/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 3/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))))
(fma.f64 (/.f64 3/2 (sqrt.f64 2)) (/.f64 v (/.f64 (.f64 t (PI.f64)) v)) (/.f64 (/.f64 1 (PI.f64)) (.f64 (sqrt.f64 2) t)))
(+.f64 (.f64 3/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 27/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))))))
(+.f64 (fma.f64 3/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64)))) (.f64 27/8 (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (.f64 t (PI.f64)))))
(fma.f64 3/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 27/8 (/.f64 (/.f64 (pow.f64 v 4) (.f64 t (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))))
(fma.f64 3/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (fma.f64 27/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (sqrt.f64 2) t))))
(+.f64 (/.f64 (/.f64 1 (PI.f64)) (.f64 (sqrt.f64 2) t)) (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (/.f64 3/2 t) (/.f64 (.f64 (.f64 v v) 27/8) t))))
(+.f64 (.f64 3/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (+.f64 (.f64 135/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 27/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))
(+.f64 (fma.f64 3/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64)))) (fma.f64 135/16 (/.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 2)) (.f64 t (PI.f64))) (.f64 27/8 (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) (*.f64 t (PI.f64))))))
(+.f64 (fma.f64 135/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (.f64 27/8 (/.f64 (/.f64 (pow.f64 v 4) (.f64 t (PI.f64))) (sqrt.f64 2)))) (fma.f64 3/2 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64)))))
(fma.f64 3/2 (.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (.f64 t (PI.f64)))) (fma.f64 27/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (fma.f64 (/.f64 135/16 (.f64 t (PI.f64))) (/.f64 (pow.f64 v 6) (sqrt.f64 2)) (/.f64 (/.f64 1 (PI.f64)) (.f64 (sqrt.f64 2) t)))))
(+.f64 (fma.f64 (/.f64 135/16 (.f64 t (PI.f64))) (/.f64 (pow.f64 v 6) (sqrt.f64 2)) (/.f64 (/.f64 1 (PI.f64)) (.f64 (sqrt.f64 2) t))) (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (/.f64 3/2 t) (/.f64 (.f64 (*.f64 v v) 27/8) t))))
(/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (*.f64 t (PI.f64)))))
(/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (*.f64 v t) (PI.f64))))
(/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) v)))
(/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (*.f64 (PI.f64) v))))
(-.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))) (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))))
(-.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (.f64 v t) (PI.f64)))) (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 v 3) t) (*.f64 (PI.f64) (sqrt.f64 -1/3))))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) v))) (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 -1/3)) (pow.f64 v 3))))))
(+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) v)))) (/.f64 -1/18 (.f64 t (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (PI.f64)))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))) (.f64 -1/2 (/.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 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))
(+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (.f64 v t) (PI.f64)))) (-.f64 (/.f64 (.f64 -1/2 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2))) (.f64 (sqrt.f64 2) (.f64 (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))) (pow.f64 v 5)))) (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 v 3) t) (.f64 (PI.f64) (sqrt.f64 -1/3)))))))
(+.f64 (/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) v))) (fma.f64 -1/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 v 5) (.f64 (.f64 (.f64 t (PI.f64)) (sqrt.f64 -1/3)) (sqrt.f64 2)))) (/.f64 -1/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 -1/3)) (pow.f64 v 3)))))))
(+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) v)))) (fma.f64 (/.f64 (/.f64 -1/2 (.f64 (.f64 t (PI.f64)) (sqrt.f64 -1/3))) (pow.f64 v 5)) (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (sqrt.f64 2)) (/.f64 -1/18 (.f64 t (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (PI.f64))))))))
(+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) v)))) (fma.f64 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (sqrt.f64 2)) (/.f64 (/.f64 -1/2 (.f64 (.f64 t (PI.f64)) (sqrt.f64 -1/3))) (pow.f64 v 5)) (/.f64 -1/18 (.f64 t (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (PI.f64))))))))
(-.f64 (+.f64 (.f64 -1/2 (/.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 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))) (.f64 -1/2 (/.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 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))
(-.f64 (fma.f64 -1/2 (/.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 (.f64 (sqrt.f64 2) (pow.f64 v 7)) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (.f64 v t) (PI.f64)))) (/.f64 (.f64 -1/2 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2))) (.f64 (sqrt.f64 2) (.f64 (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))) (pow.f64 v 5)))))) (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 v 3) t) (*.f64 (PI.f64) (sqrt.f64 -1/3))))))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) -1/3) 1/81) (.f64 (sqrt.f64 2) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/3)) (.f64 t (pow.f64 v 7))))) (fma.f64 -1/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 v 5) (.f64 (.f64 (.f64 t (PI.f64)) (sqrt.f64 -1/3)) (sqrt.f64 2)))) (/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) v))))) (/.f64 -1/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 -1/3)) (pow.f64 v 3))))))
(+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) v)))) (-.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (+.f64 (/.f64 (+.f64 1/81 (.f64 -1/6 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)))) (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 v 7) (.f64 t (PI.f64))))) (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 v 5) (.f64 t (PI.f64))))))) (/.f64 1/18 (.f64 t (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (PI.f64))))))))
(+.f64 (.f64 (/.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 -1/3)))) (+.f64 (/.f64 (+.f64 1/81 (.f64 -1/6 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)))) (pow.f64 v 7)) (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 v 5)))) (+.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) v)))) (/.f64 -1/18 (.f64 t (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (PI.f64))))))))
(.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))
(neg.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (*.f64 v t) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2))) (.f64 t (.f64 (PI.f64) v)))
(/.f64 (neg.f64 (sqrt.f64 -1/3)) (.f64 (sqrt.f64 2) (.f64 t (*.f64 (PI.f64) v))))
(+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (*.f64 t (PI.f64)))))))
(+.f64 (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 v 3) t) (.f64 (PI.f64) (sqrt.f64 -1/3))))) (neg.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (*.f64 v t) (PI.f64))))))
(-.f64 (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 -1/3)) (pow.f64 v 3))))) (/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 t (.f64 (PI.f64) v))))
(-.f64 (/.f64 1/18 (.f64 t (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (PI.f64)))))) (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (*.f64 (PI.f64) v)))))
(+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 1/2 (/.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 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))))
(+.f64 (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 v 3) t) (.f64 (PI.f64) (sqrt.f64 -1/3))))) (fma.f64 1/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))) (pow.f64 v 5)))) (neg.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (*.f64 v t) (PI.f64)))))))
(+.f64 (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 -1/3)) (pow.f64 v 3))))) (fma.f64 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 v 5) (.f64 (.f64 (.f64 t (PI.f64)) (sqrt.f64 -1/3)) (sqrt.f64 2)))) 1/2 (/.f64 (neg.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2))) (.f64 t (.f64 (PI.f64) v)))))
(fma.f64 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (.f64 t (pow.f64 v 5)) (.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (PI.f64))))) 1/2 (-.f64 (/.f64 1/18 (.f64 t (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (PI.f64)))))) (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (*.f64 (PI.f64) v))))))
(+.f64 (.f64 1/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 1/2 (/.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 (.f64 1/2 (/.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 -1 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))))))
(+.f64 (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 v 3) t) (.f64 (PI.f64) (sqrt.f64 -1/3))))) (fma.f64 1/2 (/.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 (.f64 (sqrt.f64 2) (pow.f64 v 7)) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))))) (fma.f64 1/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3))) (pow.f64 v 5)))) (neg.f64 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (.f64 v t) (PI.f64))))))))
(+.f64 (/.f64 1/18 (.f64 (sqrt.f64 2) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 -1/3)) (pow.f64 v 3))))) (-.f64 (.f64 1/2 (+.f64 (/.f64 (fma.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) -1/3) 1/81) (.f64 (sqrt.f64 2) (.f64 (.f64 (PI.f64) (sqrt.f64 -1/3)) (.f64 t (pow.f64 v 7))))) (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (pow.f64 v 5) (.f64 (.f64 (.f64 t (PI.f64)) (sqrt.f64 -1/3)) (sqrt.f64 2)))))) (/.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 2)) (.f64 t (*.f64 (PI.f64) v)))))
(+.f64 (/.f64 1/18 (.f64 t (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (PI.f64)))))) (-.f64 (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (/.f64 (+.f64 1/81 (.f64 -1/6 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)))) (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 v 7) (.f64 t (PI.f64))))) (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 -1/3) (.f64 (pow.f64 v 5) (.f64 t (PI.f64))))))) (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (*.f64 (PI.f64) v))))))
(+.f64 (.f64 (/.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 t (PI.f64)) (sqrt.f64 -1/3)))) (+.f64 (/.f64 (+.f64 1/81 (.f64 -1/6 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)))) (pow.f64 v 7)) (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 v 5)))) (-.f64 (/.f64 1/18 (.f64 t (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (PI.f64)))))) (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (.f64 (PI.f64) v))))))
(*.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))
1
(+.f64 (*.f64 -4 (pow.f64 v 2)) 1)
(fma.f64 -4 (*.f64 v v) 1)
(fma.f64 (*.f64 v v) -4 1)
(fma.f64 v (*.f64 v -4) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) 1))
(fma.f64 -4 (*.f64 v v) (fma.f64 -4 (pow.f64 v 4) 1))
(fma.f64 (*.f64 v v) -4 (fma.f64 (pow.f64 v 4) -4 1))
(fma.f64 -4 (fma.f64 v v (pow.f64 v 4)) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) (+.f64 1 (*.f64 -4 (pow.f64 v 6)))))
(fma.f64 -4 (.f64 v v) (+.f64 (fma.f64 -4 (pow.f64 v 4) 1) (.f64 (pow.f64 v 6) -4)))
(fma.f64 (*.f64 v v) -4 (fma.f64 (pow.f64 v 4) -4 (fma.f64 (pow.f64 v 6) -4 1)))
(fma.f64 -4 (fma.f64 v v (pow.f64 v 4)) (fma.f64 (pow.f64 v 6) -4 1))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (/.f64 4 (*.f64 v v)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6))))
(+.f64 5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (/.f64 4 (*.f64 v v)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6))))
(+.f64 5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))

localize5.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

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)))

rewrite51.0ms (0.7%)

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

simplify34.0ms (0.5%)

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

localize5.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 33

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	28.9b	(sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2)))
	0.5b	(/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))
	0.3b	(*.f64 t (PI.f64))
	0.3b	(pow.f64 (*.f64 t (PI.f64)) 2)
✓	0.3b	(pow.f64 (*.f64 t (PI.f64)) 2)
	0.3b	(*.f64 t (PI.f64))
✓	0.5b	(/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))
✓	28.9b	(sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2)))

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`pow1_binary64`
760×	`add-log-exp_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
741×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	193	29
2	2192	29

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

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

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

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-l_binary64`
603×	`fma-neg_binary64`
504×	`associate-r_binary64`
467×	`associate-*l/_binary64`
403×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	428
1	32	428
2	77	428
3	219	428
4	977	428
5	4330	428
6	5863	428
7	6449	428
8	7300	428

Stop Event

1×	node limit

Counts

111 → 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 -1 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))
(.f64 -1 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))
(.f64 -1 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))
(.f64 -1 (/.f64 (sqrt.f64 1/2) (.f64 t (PI.f64))))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(/.f64 1/2 (*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 t 2) (pow.f64 (PI.f64) 2))

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

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(.f64 (pow.f64 1/2 1/4) (.f64 (pow.f64 1/2 1/4) (/.f64 1 (*.f64 t (PI.f64)))))
	0.3b	(.f64 (pow.f64 1/2 1/4) (/.f64 1 (.f64 t (PI.f64))))
	0.3b	(/.f64 1 (*.f64 t (PI.f64)))
	0.3b	(*.f64 t (PI.f64))
	0.3b	(*.f64 t (PI.f64))
	0.3b	(/.f64 1 (*.f64 t (PI.f64)))
✓	0.3b	(.f64 (pow.f64 1/2 1/4) (/.f64 1 (.f64 t (PI.f64))))
✓	0.4b	(.f64 (pow.f64 1/2 1/4) (.f64 (pow.f64 1/2 1/4) (/.f64 1 (*.f64 t (PI.f64)))))

series57.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	t	@	0	(.f64 (pow.f64 1/2 1/4) (/.f64 1 (.f64 t (PI.f64))))
1.0ms	t	@	0	(.f64 (pow.f64 1/2 1/4) (.f64 (pow.f64 1/2 1/4) (/.f64 1 (*.f64 t (PI.f64)))))
1.0ms	t	@	-inf	(.f64 (pow.f64 1/2 1/4) (/.f64 1 (.f64 t (PI.f64))))
0.0ms	t	@	inf	(.f64 (pow.f64 1/2 1/4) (/.f64 1 (.f64 t (PI.f64))))
0.0ms	t	@	-inf	(.f64 (pow.f64 1/2 1/4) (.f64 (pow.f64 1/2 1/4) (/.f64 1 (*.f64 t (PI.f64)))))

rewrite81.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
405×	`prod-exp_binary64`
383×	`exp-prod_binary64`
319×	`pow-prod-down_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	228	21
2	2656	21

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 t (PI.f64)) (pow.f64 1/2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 t (PI.f64)) (pow.f64 1/4 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 1/2 1/8) (/.f64 (*.f64 t (PI.f64)) (pow.f64 1/2 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 1/2 1/4)) (*.f64 (PI.f64) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 1/2 1/4) t) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 1/2 1/4) (sqrt.f64 (*.f64 t (PI.f64)))) (sqrt.f64 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 1/2 1/4) 1) (*.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)) (cbrt.f64 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 1/2 1/4)) (*.f64 (PI.f64) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 t -1) (pow.f64 1/2 1/4)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1/2 1/4) -1) (*.f64 (PI.f64) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1/2 1/4) (pow.f64 t -1)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 t (PI.f64)) -2) (sqrt.f64 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 t (PI.f64)) -3) (pow.f64 1/2 3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 1/2 1/8) (sqrt.f64 (*.f64 t (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 1/2 3/4) (pow.f64 (*.f64 t (PI.f64)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 1/2 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 t (PI.f64)) -2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t (PI.f64)) -3) (pow.f64 1/2 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 1/2 3/4) (pow.f64 (*.f64 t (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 1/2 1/8) (sqrt.f64 (*.f64 t (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 1/2 1/4)) 1) (log.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (pow.f64 1/2 1/4)) (*.f64 (log.f64 (*.f64 t (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 1/2 1/4)) 1) (*.f64 (log.f64 (*.f64 t (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 1/2 1/4)) 1) (neg.f64 (log.f64 (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (pow.f64 1/2 1/4)) (*.f64 (log.f64 (*.f64 t (PI.f64))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 1/2 1/4)) 1) (*.f64 (log.f64 (*.f64 t (PI.f64))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (pow.f64 1/2 1/4)) (*.f64 (neg.f64 (log.f64 (*.f64 t (PI.f64)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 1/2 1/4)) 1) (*.f64 (neg.f64 (log.f64 (*.f64 t (PI.f64)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 t (PI.f64))) -1) (log.f64 (pow.f64 1/2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (*.f64 t (PI.f64)))) 1) (log.f64 (pow.f64 1/2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 t (PI.f64)))) (*.f64 (log.f64 (pow.f64 1/2 1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 t (PI.f64))) -1) (*.f64 (log.f64 (pow.f64 1/2 1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (*.f64 t (PI.f64)))) 1) (*.f64 (log.f64 (pow.f64 1/2 1/4)) 1)))))))

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
705×	`associate-/r/_binary64`
584×	`*-commutative_binary64`
581×	`associate-*l/_binary64`
500×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	288
1	27	252
2	57	252
3	156	252
4	463	252
5	1538	252
6	2867	252
7	3266	252
8	4552	252
9	4655	252
10	4817	252
11	5027	252
12	5847	252
13	6563	252
14	7361	252

Stop Event

1×	node limit

Counts

118 → 96

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

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

eval260.0ms (3.6%)

Compiler: Compiled 10671 to 7367 computations (31% saved)

prune112.0ms (1.5%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	515	8	523
Fresh	4	2	6
Picked	1	0	1
Done	1	6	7
Total	521	16	537

Error

Counts

537 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
	0.9b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
	1.2b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
✓	0.8b	(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
✓	1.2b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
▶	1.2b	(/.f64 1 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)))
✓	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
✓	1.2b	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
	34.5b	(/.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 t) (PI.f64))) 1) (sqrt.f64 2))
▶	0.9b	(/.f64 (*.f64 1 (/.f64 (/.f64 1 t) (PI.f64))) (sqrt.f64 2))
▶	1.2b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
	0.9b	(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (-.f64 1 (.f64 v v))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
	34.7b	(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
▶	0.4b	(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 -5 v) v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 v v) -3)))))
✓	0.4b	(.f64 (/.f64 1 (.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))) (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (-.f64 1 (.f64 v v))))

Compiler

Compiled 393 to 322 computations (18.1% saved)

localize19.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 -5 v) v)
	0.0b	(.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
	0.0b	(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 -5 v) v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 v v) -3)))))
	0.0b	(sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 v v) -3))))
✓	0.2b	(.f64 (.f64 v v) -3)
	0.3b	(*.f64 t (PI.f64))
✓	0.4b	(/.f64 (/.f64 (+.f64 1 (.f64 (.f64 -5 v) v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))
✓	1.0b	(/.f64 (+.f64 1 (.f64 (.f64 -5 v) v)) (sqrt.f64 2))

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite120.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`prod-diff_binary64`
354×	`expm1-udef_binary64`
353×	`log1p-udef_binary64`
207×	`add-sqr-sqrt_binary64`
198×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	415	49
2	5659	49

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

782×	`associate-*l/_binary64`
541×	`associate-*r/_binary64`
409×	`associate-/l/_binary64`
400×	`distribute-lft-out_binary64`
394×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	1170
1	175	1146
2	610	1132
3	2568	1047
4	5761	983
5	7364	983

Stop Event

1×	node limit

Counts

149 → 126

Calls

Call 1

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

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite171.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

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 → 71

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

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite80.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
847×	`add-log-exp_binary64`
847×	`log1p-expm1-u_binary64`
847×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	187	20
2	2352	20

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

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

95 → 85

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite44.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	182	11
2	2119	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

24 → 24

Calls

Call 1

Inputs

Outputs

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite104.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	213	19
2	2536	19

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

96 → 76

Calls

Call 1

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

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

eval396.0ms (5.5%)

Compiler: Compiled 8543 to 5875 computations (31.2% saved)

prune144.0ms (2%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	432	4	436
Fresh	1	4	5
Picked	0	1	1
Done	0	10	10
Total	433	19	452

Error

Counts

452 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
	0.9b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
✓	0.8b	(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
✓	1.2b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
✓	1.2b	(/.f64 1 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 1/2)))
✓	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
✓	1.2b	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
	34.5b	(/.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 t) (PI.f64))) 1) (sqrt.f64 2))
	0.9b	(/.f64 1 (.f64 (PI.f64) (.f64 t (pow.f64 1/2 -1/2))))
✓	0.9b	(/.f64 (*.f64 1 (/.f64 (/.f64 1 t) (PI.f64))) (sqrt.f64 2))
✓	1.2b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
	0.9b	(.f64 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (-.f64 1 (.f64 v v))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
	34.7b	(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
✓	0.4b	(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (.f64 -5 v) v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 v v) -3)))))
	1.3b	(/.f64 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) t)
✓	0.4b	(.f64 (/.f64 1 (.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))) (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (-.f64 1 (.f64 v v))))
	0.7b	(/.f64 (/.f64 (/.f64 1 (PI.f64)) t) (sqrt.f64 2))
	1.2b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))

Compiler

Compiled 285 to 233 computations (18.2% saved)

regimes127.0ms (1.8%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	(*.f64 (PI.f64) t)
22.0ms	(*.f64 (PI.f64) t)
21.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
18.0ms	t
17.0ms	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)`
0.4b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 595 to 394 computations (33.8% saved)

regimes74.0ms (1%)

Counts

24 → 1

Calls

Call 1

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

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:

15.0ms	v
14.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
13.0ms	t
12.0ms	(*.f64 (PI.f64) t)
5.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.4b	1	`v`
0.4b	1	`t`
0.4b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))`
0.4b	1	`(*.f64 v v)`
0.4b	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 304 to 210 computations (30.9% saved)

regimes35.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	t
11.0ms	v
5.0ms	(*.f64 v v)

Results

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

Compiler

Compiled 196 to 134 computations (31.6% saved)

regimes11.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	t
4.0ms	v

Results

Error	Segments	Branch
1.2b	1	`v`
1.2b	1	`t`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes11.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	t
4.0ms	v

Results

Error	Segments	Branch
1.2b	1	`v`
1.2b	1	`t`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes10.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	v
3.0ms	t

Results

Error	Segments	Branch
1.2b	1	`v`
1.2b	1	`t`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-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	44	130
1	73	130
2	92	130
3	100	130
4	104	130

Stop Event

1×

saturated

Calls

Call 1

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

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

end58.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 180 to 129 computations (28.3% saved)