Details

analyze87.0ms (0.9%)

Algorithm

1×

Search

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

Compiler

Compiled 31 to 22 computations (29% saved)

sample2.3s (25.6%)

Results

2.3s	8256×	body	256	valid
3.0ms	21×	body	256	invalid

preprocess63.0ms (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)

simplify65.0ms (0.7%)

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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.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

▶

0.3b

(/.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)

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series25.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	t	@	-inf	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
4.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
3.0ms	t	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
3.0ms	t	@	0	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
2.0ms	v	@	0	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite151.0ms (1.7%)

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

simplify94.0ms (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 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))))
(+.f64 (.f64 -5/2 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -241/16 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -53/8 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))
(-.f64 (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64))))))) (/.f64 5/18 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64)))))) (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (PI.f64))))))))) (+.f64 (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (PI.f64)))))) (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (PI.f64)))))) (+.f64 (.f64 5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 -5/2 (/.f64 (+.f64 1/81 (.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))))))))) (+.f64 (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 7) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))))
(.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64))))))
(+.f64 (.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (.f64 -5 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 v (.f64 t (PI.f64)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (.f64 5/18 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))) (+.f64 (.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))) (.f64 -5/2 (/.f64 (+.f64 1/81 (.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (sqrt.f64 -1/3) (PI.f64)))))))) (.f64 2/9 (/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 7))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (sqrt.f64 2) (.f64 t (.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))

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

localize47.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

series28.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	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)))))
3.0ms	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)))))
3.0ms	t	@	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 (/.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)))

rewrite98.0ms (1.1%)

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	80
1	413	76
2	5331	76

Stop Event

1×	node limit

Counts

4 → 133

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

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

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

627×	`associate-/l*_binary64`
520×	`associate-*r/_binary64`
482×	`associate-*l/_binary64`
285×	`fma-def_binary64`
277×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	3092
1	939	2894
2	3688	2718

Stop Event

1×	node limit

Counts

205 → 210

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

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 v (.f64 v (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2))) (.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -5 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))))
(fma.f64 (pow.f64 v 6) (fma.f64 1/2 (/.f64 (+.f64 27/2 (.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) -5/2)) (+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (/.f64 15/4 (sqrt.f64 1/2)))) (.f64 (.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(+.f64 (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))))) (fma.f64 (pow.f64 v 6) (fma.f64 1/2 (/.f64 (+.f64 27/2 (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2) -3/4)) (sqrt.f64 1/2)) (.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) -5/2)) (sqrt.f64 1/2)))
(+.f64 (fma.f64 (pow.f64 v 4) (+.f64 (/.f64 27/16 (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))) (.f64 v (.f64 v (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2)))))) (fma.f64 (pow.f64 v 6) (+.f64 (/.f64 135/32 (sqrt.f64 1/2)) (/.f64 -135/16 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(.f64 -5 (.f64 v (sqrt.f64 -1/6)))
(.f64 v (.f64 -5 (sqrt.f64 -1/6)))
(+.f64 (.f64 -5 (.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) v)))
(fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (/.f64 5/36 (.f64 v (sqrt.f64 -1/6)))))
(+.f64 (/.f64 (sqrt.f64 -1/6) v) (fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (/.f64 5/36 (.f64 v (sqrt.f64 -1/6)))))
(-.f64 (+.f64 (.f64 -5 (.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (.f64 5/36 (/.f64 1 (.f64 v (sqrt.f64 -1/6)))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(-.f64 (fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) v) (/.f64 5/36 (.f64 v (sqrt.f64 -1/6)))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))) (/.f64 1/36 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))
(fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) v) (/.f64 5/36 (.f64 v (sqrt.f64 -1/6)))) (/.f64 (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6)) (/.f64 -1/36 (sqrt.f64 -1/6))) (pow.f64 v 3))))
(-.f64 (+.f64 (.f64 -5 (.f64 v (sqrt.f64 -1/6))) (+.f64 (.f64 5/2 (/.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (.f64 5/36 (/.f64 1 (.f64 v (sqrt.f64 -1/6)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))))) (.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(-.f64 (fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (fma.f64 5/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)) 1/162) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5))) (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) v) (/.f64 5/36 (.f64 v (sqrt.f64 -1/6)))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5))) (.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))))) (/.f64 1/36 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))
(+.f64 (fma.f64 -5 (.f64 v (sqrt.f64 -1/6)) (+.f64 (+.f64 (/.f64 5/36 (.f64 v (sqrt.f64 -1/6))) (fma.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) (.f64 -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)))))) (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 (sqrt.f64 -1/6) v)))) (/.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 5 v) (sqrt.f64 -1/6))
(.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 5 v) (sqrt.f64 -1/6)))
(-.f64 (.f64 v (.f64 (sqrt.f64 -1/6) 5)) (/.f64 (+.f64 (sqrt.f64 -1/6) (/.f64 5/36 (sqrt.f64 -1/6))) v))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (/.f64 (neg.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 t (*.f64 (PI.f64) (fma.f64 v v -1)))))
(.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)))))
(neg.f64 (.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (PI.f64))) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (fma.f64 v v -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (/.f64 (neg.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 t (*.f64 (PI.f64) (fma.f64 v v -1)))))
(.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)))))
(neg.f64 (.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (PI.f64))) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (fma.f64 v v -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (/.f64 (neg.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 t (*.f64 (PI.f64) (fma.f64 v v -1)))))
(.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)))))
(neg.f64 (.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (PI.f64))) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (fma.f64 v v -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (/.f64 (neg.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 t (*.f64 (PI.f64) (fma.f64 v v -1)))))
(.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)))))
(neg.f64 (.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (PI.f64))) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (fma.f64 v v -1))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (/.f64 (neg.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 t (*.f64 (PI.f64) (fma.f64 v v -1)))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(*.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(+.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(+.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.f64 -1 (.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))
(neg.f64 (.f64 (.f64 v v) (*.f64 t (PI.f64))))
(.f64 (.f64 v v) (neg.f64 (*.f64 t (PI.f64))))
(.f64 v (neg.f64 (.f64 v (*.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(+.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(+.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(.f64 -1 (.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))
(neg.f64 (.f64 (.f64 v v) (*.f64 t (PI.f64))))
(.f64 (.f64 v v) (neg.f64 (*.f64 t (PI.f64))))
(.f64 v (neg.f64 (.f64 v (*.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(+.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(+.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 (fma.f64 v v -1) (neg.f64 (.f64 t (PI.f64))))
(.f64 t (neg.f64 (.f64 (PI.f64) (fma.f64 v v -1))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))
(fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (sqrt.f64 2))
(fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (*.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (/.f64 (/.f64 (pow.f64 v 4) -4/9) (sqrt.f64 2))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))))
(+.f64 (fma.f64 -3 (/.f64 v (/.f64 (sqrt.f64 2) v)) (*.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))) (fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2)))
(+.f64 (fma.f64 -3 (*.f64 (/.f64 v (sqrt.f64 2)) v) (/.f64 (/.f64 (pow.f64 v 4) -4/9) (sqrt.f64 2))) (fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 -6) v)
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(+.f64 (*.f64 v (sqrt.f64 -6)) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 (/.f64 1 v) (sqrt.f64 -6))) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (/.f64 -1/2 (.f64 (pow.f64 v 3) (*.f64 -6 (sqrt.f64 -6)))))
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 v) (sqrt.f64 -6))) (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (pow.f64 v 3)))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 v) (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6))) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 v (sqrt.f64 -6) (/.f64 -1/2 (.f64 (pow.f64 v 3) (.f64 -6 (sqrt.f64 -6)))))))
(+.f64 (/.f64 (/.f64 1 v) (sqrt.f64 -6)) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 (sqrt.f64 -6) (neg.f64 v))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -6))) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(neg.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 (/.f64 -1 v) (sqrt.f64 -6)) (*.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 v) (sqrt.f64 -6))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 (/.f64 1 v) (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (.f64 v (sqrt.f64 -6))))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -6) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))) (/.f64 -1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))

eval500.0ms (5.5%)

Compiler: Compiled 13701 to 9609 computations (29.9% saved)

prune75.0ms (0.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	348	11	359
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	348	13	361

Error

0.0b

Counts

361 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (pow.f64 (cbrt.f64 (.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))) 3) (-.f64 1 (.f64 v v))))
▶	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
▶	0.7b	(.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 v v) -6 2))) (/.f64 (neg.f64 (fma.f64 (.f64 v v) -5 1)) (.f64 t (*.f64 (PI.f64) (fma.f64 v v -1)))))
▶	1.2b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	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))))
✓	0.3b	(/.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	(pow.f64 (/.f64 (.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)))) -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))))
	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))))
	0.9b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
	0.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (PI.f64)) (+.f64 (sqrt.f64 2) (.f64 -3/2 (.f64 (sqrt.f64 2) (.f64 v v))))) (-.f64 1 (*.f64 v v))))
▶	0.3b	(.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)))))

Compiler

Compiled 622 to 458 computations (26.4% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series18.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	t	@	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))))
2.0ms	v	@	0	(.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))
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	v	@	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))))
1.0ms	t	@	0	(.f64 t (.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))

rewrite201.0ms (2.2%)

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	74
1	425	74
2	5547	74

Stop Event

1×	node limit

Counts

3 → 183

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)))))

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

Outputs

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

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

502×	`associate-*r/_binary64`
502×	`associate-*l/_binary64`
483×	`associate-+l+_binary64`
306×	`associate-+r+_binary64`
292×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	3067
1	760	2978
2	3212	2880

Stop Event

1×	node limit

Counts

243 → 257

Calls

Call 1

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

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

localize8.0ms (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)))
1.0ms	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))

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

51 → 51

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series4.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite143.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	354	41
2	4872	39

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

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

Outputs

((#(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 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(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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(sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (fma.f64 v (neg.f64 v) 1)))))) (sqrt.f64 (/.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))))))))))))

simplify77.0ms (0.8%)

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	894
1	173	894
2	636	856
3	2992	771
4	4524	707
5	7665	707

Stop Event

1×	node limit

Counts

186 → 178

Calls

Call 1

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

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

localize18.0ms (0.2%)

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 1 (.f64 (.f64 -5 v) v))
	0.0b	(-.f64 1 (*.f64 v v))
✓	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))

series14.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	(.f64 (.f64 v v) -3)
2.0ms	v	@	0	(.f64 (.f64 v v) -3)
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	t	@	inf	(/.f64 (/.f64 (+.f64 1 (.f64 (.f64 -5 v) v)) (sqrt.f64 2)) (.f64 (.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))

rewrite88.0ms (1%)

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

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

simplify78.0ms (0.9%)

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

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series15.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

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

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`log-prod_binary64`
317×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
268×	`log-pow_binary64`
197×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	410	77
2	5248	77

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

907×	`times-frac_binary64`
696×	`associate-l_binary64`
517×	`associate-/l*_binary64`
414×	`associate-*r/_binary64`
414×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	2907
1	671	2700
2	2738	2634

Stop Event

1×	node limit

Counts

225 → 195

Calls

Call 1

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

eval901.0ms (9.8%)

Compiler: Compiled 48768 to 31717 computations (35% saved)

prune183.0ms (2%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	854	15	869
Fresh	5	1	6
Picked	1	0	1
Done	4	2	6
Total	864	18	882

Error

Counts

882 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(.f64 (.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) t) (/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
✓	1.2b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	0.9b	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
▶	28.0b	(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
	47.1b	(sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2)))
	1.1b	(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (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))))
	1.2b	(pow.f64 (/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) -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))))
	1.0b	(.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (.f64 t (PI.f64))))
▶	0.3b	(.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))))
	0.9b	(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
▶	1.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) 3) (-.f64 1 (.f64 v v))))
	0.9b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
▶	0.8b	(*.f64 (/.f64 (pow.f64 1/2 1/4) t) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))
	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))
	0.8b	(.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (.f64 t (PI.f64))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 v v) -3)))))

Compiler

Compiled 580 to 472 computations (18.6% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.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))))
	0.0b	(-.f64 1 (*.f64 v v))
	0.0b	(fma.f64 (*.f64 v v) -3 1)
	0.0b	(.f64 (PI.f64) (sqrt.f64 (.f64 2 (fma.f64 (*.f64 v v) -3 1))))
	0.0b	(sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))
✓	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

2 → 36

Calls

9 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`log-prod_binary64`
379×	`pow2_binary64`
277×	`pow-unpow_binary64`
266×	`pow1/3_binary64`
265×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	326	30
2	3743	30

Stop Event

1×	node limit

Counts

2 → 50

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)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (*.f64 t (PI.f64)))))) 2)) (log.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (*.f64 t (PI.f64))))))) (log.f64 (sqrt.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 -.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 (neg.f64 (*.f64 t (PI.f64))) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1) (/.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 (cbrt.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 (/.f64 1 (*.f64 t (PI.f64))) (pow.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))) (pow.f64 t -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 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (*.f64 t (PI.f64))) -2) 1/2)))) (#(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))) -3) 1/3)))) (#(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))) 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 (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 pow.f64 (sqrt.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 pow.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 t (PI.f64))) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))) -1)))) (#(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 (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 0 (*.f64 v (*.f64 v -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5) (*.f64 v v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5) (*.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -5)))) 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 (*.f64 25 (pow.f64 v 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (sqrt.f64 -5)) 6) 1/3)))) (#(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 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 (pow.f64 (*.f64 v (sqrt.f64 -5)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -5))) 1))))))

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

867×	`associate-/r*_binary64`
789×	`times-frac_binary64`
536×	`fma-neg_binary64`
444×	`cancel-sign-sub-inv_binary64`
399×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1182
1	253	1099
2	945	1084
3	5613	1050

Stop Event

1×	node limit

Counts

86 → 78

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))

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))))))
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(+.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 (sqrt.f64 2) (.f64 (.f64 (pow.f64 v 7) 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 1/2 (+.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 t (.f64 (PI.f64) (sqrt.f64 -1/3))) (pow.f64 v 7)))) (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 (sqrt.f64 2) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 -1/3)) (pow.f64 v 5))))))) (-.f64 (/.f64 (/.f64 1/18 (.f64 (sqrt.f64 2) (pow.f64 v 3))) (.f64 t (.f64 (PI.f64) (sqrt.f64 -1/3)))) (/.f64 (sqrt.f64 -1/3) (.f64 (sqrt.f64 2) (.f64 (*.f64 t (PI.f64)) v)))))
(+.f64 (/.f64 1/18 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/3) (.f64 t (pow.f64 v 3)))))) (-.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 (PI.f64) (.f64 t (pow.f64 v 7))))) (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (.f64 t (.f64 (sqrt.f64 -1/3) (.f64 (PI.f64) (pow.f64 v 5))))))) (/.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 (PI.f64) (.f64 t (sqrt.f64 -1/3))))) (+.f64 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/81 (+.f64 -1/162 (.f64 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2) -1/6))) (pow.f64 v 7)))) (-.f64 (/.f64 1/18 (.f64 (PI.f64) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1/3) (.f64 t (pow.f64 v 3)))))) (/.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))

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 1/2))
	0.3b	(*.f64 t (PI.f64))
	0.3b	(/.f64 1 (*.f64 t (PI.f64)))
✓	0.3b	(/.f64 1 (*.f64 t (PI.f64)))
	0.3b	(*.f64 t (PI.f64))
✓	0.4b	(.f64 (/.f64 1 (.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 1 (*.f64 t (PI.f64)))
0.0ms	t	@	-inf	(/.f64 1 (*.f64 t (PI.f64)))
0.0ms	t	@	inf	(/.f64 1 (*.f64 t (PI.f64)))
0.0ms	t	@	0	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
0.0ms	t	@	-inf	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))

rewrite79.0ms (0.9%)

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)))))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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))

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.9b	(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
	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)))
✓	2.9b	(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite139.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
468×	`log-prod_binary64`
417×	`fma-def_binary64`
276×	`pow-prod-down_binary64`
253×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	222	10
2	3007	10

Stop Event

1×	node limit

Counts

1 → 122

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 0)))) (#(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 0 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.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))) -1) 1)))) (#(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 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(sqrt.f64 1/2) (*.f64 t (PI.f64))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (pow.f64 1/2 1/6) (*.f64 t (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 1/2 1/4) t) (/.f64 (pow.f64 1/2 1/4) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 1/2) t) (/.f64 (pow.f64 1/2 1/6) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (PI.f64) -1) (/.f64 (sqrt.f64 1/2) t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 1/2) (PI.f64)) (/.f64 (pow.f64 1/2 1/6) t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) -2) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 t (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 t (PI.f64)) -1/2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 t (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (*.f64 t (PI.f64)))) (/.f64 (pow.f64 1/2 1/6) (sqrt.f64 (*.f64 t (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1) (-.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1) 1)))))

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

134 → 122

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 4 expressions with local error:

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

series166.0ms (1.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
158.0ms	t	@	0	(/.f64 (pow.f64 1/2 1/4) t)
6.0ms	t	@	inf	(/.f64 (pow.f64 1/2 1/4) t)
1.0ms	t	@	0	(*.f64 (/.f64 (pow.f64 1/2 1/4) t) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))
1.0ms	t	@	-inf	(/.f64 (pow.f64 1/2 1/4) t)
0.0ms	t	@	-inf	(*.f64 (/.f64 (pow.f64 1/2 1/4) t) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

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

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

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

940×	`sqr-pow_binary64`
536×	`associate-*r/_binary64`
488×	`cube-prod_binary64`
427×	`fabs-mul_binary64`
414×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	240
1	25	204
2	43	204
3	83	204
4	187	204
5	548	204
6	1091	204
7	2783	204
8	3571	204
9	3793	204
10	3941	204
11	4217	204
12	4558	204
13	4933	204
14	5398	204
15	5972	204
16	6646	204
17	7087	204
18	7379	204
19	7609	204
20	7791	204
21	7871	204

Stop Event

1×	node limit

Counts

154 → 132

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 5 (.f64 v v))
	0.0b	(-.f64 1 (.f64 5 (.f64 v v)))
	0.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) 3) (-.f64 1 (.f64 v v)))
	0.0b	(-.f64 1 (*.f64 v v))
	0.3b	(*.f64 t (PI.f64))
	0.5b	(.f64 (sqrt.f64 2) (.f64 t (PI.f64)))
✓	0.6b	(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) 3)

series6.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	t	@	-inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) 3)
1.0ms	t	@	0	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) 3)
1.0ms	t	@	inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) 3)
1.0ms	t	@	-inf	(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))
0.0ms	t	@	inf	(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`pow1_binary64`
740×	`add-log-exp_binary64`
739×	`log1p-expm1-u_binary64`
739×	`expm1-log1p-u_binary64`
722×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	209	22
2	2112	22

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64)))) 3)
(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))

Outputs

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

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

63 → 63

Calls

Call 1

Inputs

Outputs

eval326.0ms (3.6%)

Compiler: Compiled 13807 to 9521 computations (31% saved)

prune107.0ms (1.2%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	618	8	626
Fresh	4	7	11
Picked	1	0	1
Done	1	5	6
Total	624	20	644

Error

Counts

644 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(.f64 (.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) t) (/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
✓	1.2b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	0.9b	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))) (-.f64 1 (.f64 v v))))
✓	28.0b	(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)
	0.8b	(*.f64 (/.f64 (cbrt.f64 1/2) (PI.f64)) (/.f64 (pow.f64 1/2 1/6) t))
▶	47.1b	(sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2)))
	1.1b	(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (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))))
	0.8b	(*.f64 (/.f64 (cbrt.f64 1/2) t) (/.f64 (pow.f64 1/2 1/6) (PI.f64)))
	1.2b	(.f64 (.f64 (/.f64 (/.f64 1 t) (PI.f64)) 1) (sqrt.f64 1/2))
	1.1b	(/.f64 (cbrt.f64 1/2) (/.f64 (*.f64 t (PI.f64)) (pow.f64 1/2 1/6)))
✓	1.2b	(.f64 (/.f64 1 (.f64 t (PI.f64))) (sqrt.f64 1/2))
	0.8b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 2) t)) (-.f64 1 (.f64 v v))))
✓	0.3b	(.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))))
▶	0.9b	(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
	1.2b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
▶	1.2b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
▶	0.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 2) (PI.f64)) t) (-.f64 1 (.f64 v v))))
	0.9b	(/.f64 1 (.f64 (sqrt.f64 2) (.f64 t (PI.f64))))

Compiler

Compiled 553 to 446 computations (19.3% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series11.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

353×	`expm1-udef_binary64`
353×	`log1p-udef_binary64`
295×	`log-pow_binary64`
258×	`log-div_binary64`
215×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	86
1	441	79
2	5963	79

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

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

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

715×	`associate-/l*_binary64`
518×	`associate-*l/_binary64`
322×	`associate-/r*_binary64`
320×	`associate-/l/_binary64`
318×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	3380
1	1043	3177
2	4104	2995

Stop Event

1×	node limit

Counts

239 → 257

Calls

Call 1

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

Outputs
(*.f64 -1 (sqrt.f64 1/2))
(neg.f64 (sqrt.f64 1/2))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (+.f64 (.f64 -5 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1 (sqrt.f64 1/2)))
(fma.f64 -1 (.f64 (.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (neg.f64 (sqrt.f64 1/2)))
(neg.f64 (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (+.f64 (.f64 -5 (sqrt.f64 1/2)) (.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 -1 (.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 -1 (sqrt.f64 1/2))))
(fma.f64 -1 (.f64 (.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))) (fma.f64 -1 (*.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))))) (neg.f64 (sqrt.f64 1/2))))
(-.f64 (neg.f64 (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))) (.f64 (.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2)))))
(-.f64 (.f64 (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (.f64 v (neg.f64 v))) (fma.f64 (pow.f64 v 4) (+.f64 (/.f64 27/16 (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)))
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(fma.f64 -1 (+.f64 (/.f64 v (/.f64 (.f64 t (PI.f64)) v)) (/.f64 (pow.f64 v 4) (.f64 t (PI.f64)))) (/.f64 (/.f64 -1 t) (PI.f64)))
(+.f64 (.f64 (/.f64 (.f64 v v) (PI.f64)) (-.f64 (/.f64 -1 t) (*.f64 (/.f64 v t) v))) (/.f64 (/.f64 -1 t) (PI.f64)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 v 2) (.f64 t (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 v 4) (.f64 t (PI.f64)))) (.f64 -1 (/.f64 (pow.f64 v 6) (.f64 t (PI.f64)))))) (/.f64 1 (*.f64 t (PI.f64))))
(-.f64 (fma.f64 -1 (/.f64 (/.f64 (.f64 v v) t) (PI.f64)) (.f64 -1 (+.f64 (/.f64 (pow.f64 v 4) (.f64 t (PI.f64))) (/.f64 (pow.f64 v 6) (.f64 t (PI.f64)))))) (/.f64 1 (*.f64 t (PI.f64))))
(+.f64 (-.f64 (-.f64 (/.f64 (.f64 (neg.f64 v) v) (.f64 t (PI.f64))) (/.f64 (pow.f64 v 4) (.f64 t (PI.f64)))) (/.f64 (pow.f64 v 6) (.f64 t (PI.f64)))) (/.f64 (/.f64 -1 t) (PI.f64)))
(+.f64 (*.f64 (/.f64 -1 (PI.f64)) (+.f64 (/.f64 (pow.f64 v 4) t) (/.f64 (pow.f64 v 6) t))) (-.f64 (/.f64 (/.f64 -1 t) (PI.f64)) (/.f64 v (/.f64 (PI.f64) (/.f64 v t)))))
(/.f64 1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64))))
(/.f64 1 (.f64 (.f64 v v) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 v) (.f64 t (.f64 (PI.f64) v)))
(+.f64 (/.f64 1 (.f64 (pow.f64 v 4) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))))
(+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))
(+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 4)))
(+.f64 (/.f64 (/.f64 1 v) (.f64 t (.f64 (PI.f64) v))) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (pow.f64 v 4)))
(+.f64 (/.f64 1 (.f64 (pow.f64 v 6) (.f64 t (PI.f64)))) (+.f64 (/.f64 1 (.f64 (pow.f64 v 4) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 4) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))
(+.f64 (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 4)) (+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (pow.f64 v 6))))
(+.f64 (/.f64 (/.f64 1 v) (.f64 t (.f64 (PI.f64) v))) (+.f64 (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 4)) (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 6))))
(+.f64 (/.f64 1 (.f64 (pow.f64 v 6) (.f64 t (PI.f64)))) (+.f64 (/.f64 1 (.f64 (pow.f64 v 8) (.f64 t (PI.f64)))) (+.f64 (/.f64 1 (.f64 (pow.f64 v 4) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))))))
(+.f64 (/.f64 1 (.f64 (pow.f64 v 6) (.f64 t (PI.f64)))) (+.f64 (+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 4) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (*.f64 t (PI.f64)) (pow.f64 v 8)))))
(+.f64 (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 6)) (+.f64 (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 4)) (+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 1 (.f64 t (*.f64 (PI.f64) (pow.f64 v 8)))))))
(+.f64 (+.f64 (/.f64 (/.f64 1 v) (.f64 t (.f64 (PI.f64) v))) (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 4))) (+.f64 (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 6)) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (pow.f64 v 8))))
(/.f64 1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64))))
(/.f64 1 (.f64 (.f64 v v) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 v) (.f64 t (.f64 (PI.f64) v)))
(+.f64 (/.f64 1 (.f64 (pow.f64 v 4) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))))
(+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))
(+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 4)))
(+.f64 (/.f64 (/.f64 1 v) (.f64 t (.f64 (PI.f64) v))) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (pow.f64 v 4)))
(+.f64 (/.f64 1 (.f64 (pow.f64 v 6) (.f64 t (PI.f64)))) (+.f64 (/.f64 1 (.f64 (pow.f64 v 4) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 4) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))
(+.f64 (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 4)) (+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (pow.f64 v 6))))
(+.f64 (/.f64 (/.f64 1 v) (.f64 t (.f64 (PI.f64) v))) (+.f64 (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 4)) (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 6))))
(+.f64 (/.f64 1 (.f64 (pow.f64 v 6) (.f64 t (PI.f64)))) (+.f64 (/.f64 1 (.f64 (pow.f64 v 8) (.f64 t (PI.f64)))) (+.f64 (/.f64 1 (.f64 (pow.f64 v 4) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 2) (.f64 t (PI.f64)))))))
(+.f64 (/.f64 1 (.f64 (pow.f64 v 6) (.f64 t (PI.f64)))) (+.f64 (+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 1 (.f64 (pow.f64 v 4) (.f64 t (PI.f64))))) (/.f64 1 (.f64 (*.f64 t (PI.f64)) (pow.f64 v 8)))))
(+.f64 (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 6)) (+.f64 (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 4)) (+.f64 (/.f64 1 (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 1 (.f64 t (*.f64 (PI.f64) (pow.f64 v 8)))))))
(+.f64 (+.f64 (/.f64 (/.f64 1 v) (.f64 t (.f64 (PI.f64) v))) (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 4))) (+.f64 (/.f64 (/.f64 1 (.f64 t (PI.f64))) (pow.f64 v 6)) (/.f64 (/.f64 1 (*.f64 t (PI.f64))) (pow.f64 v 8))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))
(fma.f64 -3 (/.f64 (*.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))))
(fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (fma.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2))))))
(+.f64 (fma.f64 -3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 -9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 2)))) (fma.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2)))
(*.f64 (sqrt.f64 -6) v)
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -6) v)) (.f64 (sqrt.f64 -6) v))
(+.f64 (*.f64 v (sqrt.f64 -6)) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 (sqrt.f64 -6) v)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(+.f64 (/.f64 (/.f64 1 v) (sqrt.f64 -6)) (-.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)))))
(-.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6)))) (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (.f64 (sqrt.f64 -6) v))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 v) (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6))) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 v (sqrt.f64 -6) (*.f64 -1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3))))))
(-.f64 (+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (*.f64 v (sqrt.f64 -6)))
(*.f64 (sqrt.f64 -6) (neg.f64 v))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v)))
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -6))) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(neg.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -6)) v) (*.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (/.f64 (/.f64 1 v) (sqrt.f64 -6)))
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 (/.f64 1 v) (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))
(-.f64 (fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (.f64 v (sqrt.f64 -6))))) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/12 (sqrt.f64 -6)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (.f64 v (sqrt.f64 -6))))) (/.f64 -1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	t	@	0	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
1.0ms	t	@	0	(/.f64 (sqrt.f64 1/2) t)
0.0ms	t	@	-inf	(/.f64 (sqrt.f64 1/2) t)
0.0ms	t	@	inf	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
0.0ms	t	@	-inf	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

81 → 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))

localize6.0ms (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 t (PI.f64))
	0.3b	(/.f64 1 (*.f64 t (PI.f64)))
	0.3b	(/.f64 1 (*.f64 t (PI.f64)))
	0.3b	(*.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
0.0ms	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))

rewrite46.0ms (0.5%)

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 (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 33

Calls

Call 1

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

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

localize40.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite201.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	354	51
2	4870	47

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

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

Outputs

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

simplify190.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

693×	`associate-/r/_binary64`
464×	`associate-/r*_binary64`
459×	`div-sub_binary64`
413×	`distribute-lft-out_binary64`
364×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	1119
1	175	1077
2	639	1063
3	3000	978
4	4533	914
5	7673	914

Stop Event

1×	node limit

Counts

256 → 231

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	29.8b	(sqrt.f64 (/.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	(/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))
✓	0.3b	(/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))
✓	0.3b	(pow.f64 (*.f64 t (PI.f64)) 2)
	0.3b	(*.f64 t (PI.f64))
✓	29.8b	(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	@	0	(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)))

rewrite76.0ms (0.8%)

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

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

simplify107.0ms (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 (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 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)))

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 (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)))
(/.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))))

eval527.0ms (5.8%)

Compiler: Compiled 26393 to 17383 computations (34.1% saved)

prune124.0ms (1.4%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	735	5	740
Fresh	6	4	10
Picked	1	0	1
Done	3	6	9
Total	745	15	760

Error

Counts

760 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	62.6b	(/.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 t (PI.f64)))
	1.2b	(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
	0.7b	(.f64 (.f64 (/.f64 (fma.f64 -5 (.f64 v v) 1) t) (/.f64 (pow.f64 2 -1/2) (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 v v) -3)))))
✓	1.2b	(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
	0.7b	(/.f64 (-.f64 1 (.f64 v (.f64 v 5))) (.f64 (.f64 (.f64 (sqrt.f64 2) (PI.f64)) t) (-.f64 1 (.f64 v v))))
	0.8b	(/.f64 (*.f64 (/.f64 1 t) (/.f64 1 (PI.f64))) (sqrt.f64 2))
	1.1b	(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (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))))
	0.8b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 2) t)) (-.f64 1 (.f64 v v))))
✓	0.3b	(.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))))
✓	0.9b	(/.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 2))
	0.8b	(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
✓	1.2b	(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
	0.9b	(/.f64 (/.f64 (/.f64 1 t) (sqrt.f64 2)) (PI.f64))

Compiler

Compiled 251 to 197 computations (21.5% saved)

regimes137.0ms (1.5%)

Counts

41 → 1

Calls

Call 1

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

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:

23.0ms	(/.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))))
23.0ms	(*.f64 (PI.f64) t)
22.0ms	(*.f64 (PI.f64) t)
21.0ms	t
21.0ms	v

Results

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

Compiler

Compiled 724 to 474 computations (34.5% saved)

regimes85.0ms (0.9%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	(*.f64 (PI.f64) t)
16.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
16.0ms	v
15.0ms	t
6.0ms	(*.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 376 to 255 computations (32.2% saved)

regimes42.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	t
12.0ms	v
5.0ms	(*.f64 v v)
4.0ms	(*.f64 v v)

Results

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

Compiler

Compiled 229 to 150 computations (34.5% saved)

regimes22.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	t
7.0ms	v

Results

Error	Segments	Branch
0.8b	1	`v`
0.8b	1	`t`

Compiler

Compiled 119 to 83 computations (30.3% saved)

regimes12.0ms (0.1%)

Accuracy

Total -61.5b remaining (-5339.4%)

Threshold costs -61.5b (-5339.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	v
4.0ms	t

Results

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

Compiler

Compiled 33 to 23 computations (30.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	151
1	87	151
2	114	151
3	130	151
4	137	151
5	138	151

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

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

end70.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 208 to 148 computations (28.8% saved)