Details

analyze9.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
31.2%	18.7%	50%	4
40.6%	9.4%	50%	5
45.3%	4.7%	50%	6
47.6%	2.3%	50%	7
48.8%	1.2%	50%	8
49.4%	0.6%	50%	9
49.7%	0.3%	50%	10
49.8%	0.1%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.1s (53.2%)

Results

1.1s

8256×

body

128

valid

preprocess47.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

651×	`rule-a--a0_binary64`
651×	`rule-a-+a0_binary64`
648×	`rule-a-/a1_binary64`
229×	`rule-/abc-b/ac_binary64`
185×	`rule-/a*bc-//abc_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	90	35
2	476	26
3	3632	20
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(/.f64 (.f64 i (.f64 (.f64 i i) i)) (.f64 (.f64 (.f64 i 2) (.f64 i 2)) (fma.f64 (.f64 i 2) (*.f64 i 2) -1)))
(.f64 (.f64 i (/.f64 i (.f64 2 (.f64 i (.f64 i 2))))) (/.f64 (.f64 i i) (fma.f64 (.f64 i 2) (.f64 i 2) -1)))
(.f64 (pow.f64 i 3) (/.f64 (/.f64 (/.f64 i i) (.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))
(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify36.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

651×	`rule-a--a0_binary64`
651×	`rule-a-+a0_binary64`
648×	`rule-a-/a1_binary64`
229×	`rule-/abc-b/ac_binary64`
185×	`rule-/a*bc-//abc_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	90	35
2	476	26
3	3632	20

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(/.f64 (.f64 i (.f64 (.f64 i i) i)) (.f64 (.f64 (.f64 i 2) (.f64 i 2)) (fma.f64 (.f64 i 2) (*.f64 i 2) -1)))
(.f64 (.f64 i (/.f64 i (.f64 2 (.f64 i (.f64 i 2))))) (/.f64 (.f64 i i) (fma.f64 (.f64 i 2) (.f64 i 2) -1)))
(.f64 (pow.f64 i 3) (/.f64 (/.f64 (/.f64 i i) (.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))
(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))

prune4.0ms (0.2%)

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

24.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	25.0b	(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))
	45.6b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Compiler

Compiled 122 to 83 computations (32% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1/4 i) (fma.f64 i (*.f64 i 4) -1))
✓	24.4b	(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(/.f64 (/.f64 1/4 i) (fma.f64 i (*.f64 i 4) -1))
1.0ms	i	@	0	(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))
1.0ms	i	@	inf	(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))
1.0ms	i	@	-inf	(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))
1.0ms	i	@	inf	(/.f64 (/.f64 1/4 i) (fma.f64 i (*.f64 i 4) -1))

rewrite54.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

313×	`rule-/ab-*+aa/1/2b_binary64`
276×	`rule-aa-fabsaa_binary64`
215×	`rule-nega--0a_binary64`
215×	`rule-nega-/a-1_binary64`
213×	`rule-nega-*a-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	324	34
2	4003	34

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))
(/.f64 (/.f64 1/4 i) (fma.f64 i (*.f64 i 4) -1))

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

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

simplify29.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

255×	`rule-/ab-*+aa/1/2b_binary64`
255×	`rule-a-*a1_binary64`
255×	`rule-a--a0_binary64`
255×	`rule-a-+a0_binary64`
252×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	405
1	510	401
2	1650	397

Stop Event

1×	node limit

Counts

115 → 120

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(/.f64 -1/4 i)
(-.f64 (.f64 -1 i) (.f64 1/4 (/.f64 1 i)))
(-.f64 (+.f64 (.f64 -4 (pow.f64 i 3)) (.f64 -1 i)) (*.f64 1/4 (/.f64 1 i)))
(-.f64 (+.f64 (.f64 -4 (pow.f64 i 3)) (+.f64 (.f64 -1 i) (.f64 -16 (pow.f64 i 5)))) (.f64 1/4 (/.f64 1 i)))
(/.f64 1/16 (pow.f64 i 3))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/64 (/.f64 1 (pow.f64 i 5))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (*.f64 1/64 (/.f64 1 (pow.f64 i 5)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (.f64 1/1024 (/.f64 1 (pow.f64 i 9))))))
(/.f64 1/16 (pow.f64 i 3))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/64 (/.f64 1 (pow.f64 i 5))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (*.f64 1/64 (/.f64 1 (pow.f64 i 5)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (.f64 1/1024 (/.f64 1 (pow.f64 i 9))))))

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(.f64 -1/4 (.f64 i i))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(fma.f64 -1 (pow.f64 i 4) (.f64 -1/4 (.f64 i i)))
(fma.f64 -1/4 (*.f64 i i) (neg.f64 (pow.f64 i 4)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6))))
(fma.f64 -1/4 (.f64 i i) (fma.f64 -1 (pow.f64 i 4) (.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))))
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -16 (pow.f64 i 8) (fma.f64 -1/4 (.f64 i i) (.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/64 (*.f64 i i))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (+.f64 1/16 (/.f64 1/64 (*.f64 i i)))))
(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/64 (*.f64 i i))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (+.f64 1/16 (/.f64 1/64 (*.f64 i i)))))
(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6)))))
(/.f64 -1/4 i)
(-.f64 (.f64 -1 i) (.f64 1/4 (/.f64 1 i)))
(-.f64 (*.f64 i -1) (/.f64 1/4 i))
(-.f64 (neg.f64 i) (/.f64 1/4 i))
(-.f64 (/.f64 -1/4 i) i)
(-.f64 (+.f64 (.f64 -4 (pow.f64 i 3)) (.f64 -1 i)) (*.f64 1/4 (/.f64 1 i)))
(-.f64 (fma.f64 -4 (pow.f64 i 3) (*.f64 i -1)) (/.f64 1/4 i))
(-.f64 (fma.f64 -4 (pow.f64 i 3) (neg.f64 i)) (/.f64 1/4 i))
(fma.f64 -4 (pow.f64 i 3) (-.f64 (/.f64 -1/4 i) i))
(-.f64 (+.f64 (.f64 -4 (pow.f64 i 3)) (+.f64 (.f64 -1 i) (.f64 -16 (pow.f64 i 5)))) (.f64 1/4 (/.f64 1 i)))
(-.f64 (fma.f64 -4 (pow.f64 i 3) (fma.f64 -1 i (*.f64 -16 (pow.f64 i 5)))) (/.f64 1/4 i))
(-.f64 (fma.f64 -4 (pow.f64 i 3) (fma.f64 -16 (pow.f64 i 5) (neg.f64 i))) (/.f64 1/4 i))
(+.f64 (fma.f64 -4 (pow.f64 i 3) (fma.f64 -16 (pow.f64 i 5) (neg.f64 i))) (/.f64 -1/4 i))
(/.f64 1/16 (pow.f64 i 3))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/64 (/.f64 1 (pow.f64 i 5))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/64 (pow.f64 i 5)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (*.f64 1/64 (/.f64 1 (pow.f64 i 5)))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (/.f64 1/64 (pow.f64 i 5))))
(+.f64 (/.f64 1/64 (pow.f64 i 5)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (/.f64 1/16 (pow.f64 i 3))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (/.f64 1/256 (pow.f64 i 7))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (.f64 1/1024 (/.f64 1 (pow.f64 i 9))))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (/.f64 1/1024 (pow.f64 i 9)))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (/.f64 1/1024 (pow.f64 i 9)))))
(/.f64 1/16 (pow.f64 i 3))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/64 (/.f64 1 (pow.f64 i 5))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/64 (pow.f64 i 5)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (*.f64 1/64 (/.f64 1 (pow.f64 i 5)))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (/.f64 1/64 (pow.f64 i 5))))
(+.f64 (/.f64 1/64 (pow.f64 i 5)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (/.f64 1/16 (pow.f64 i 3))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (/.f64 1/256 (pow.f64 i 7))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (.f64 1/1024 (/.f64 1 (pow.f64 i 9))))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (/.f64 1/1024 (pow.f64 i 9)))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (/.f64 1/1024 (pow.f64 i 9)))))

prune83.0ms (4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	118	4	122

Error

Counts

122 → 4

Alt Table

Status	Error	Program
✓	25.0b	(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))
▶	19.3b	(pow.f64 (.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3)
	32.0b	(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
	32.1b	(*.f64 -1/4 (pow.f64 i 2))

Compiler

Compiled 2376 to 1808 computations (23.9% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1)))
✓	0.4b	(.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1)))))
✓	0.7b	(pow.f64 (.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3)
✓	18.2b	(cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1))))

series17.0ms (0.8%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	i	@	-inf	(pow.f64 (.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3)
3.0ms	i	@	inf	(cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1))))
2.0ms	i	@	0	(pow.f64 (.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3)
2.0ms	i	@	inf	(pow.f64 (.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3)
2.0ms	i	@	-inf	(cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1))))

rewrite68.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`rule-aa-fabsaa_binary64`
223×	`rule-nega--0a_binary64`
223×	`rule-nega-/a-1_binary64`
221×	`rule-nega-*a-1_binary64`
134×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	343	69
2	4126	69

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1))))
(pow.f64 (.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3)
(.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1)))))
(/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1)))) (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1))))) (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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((x exp.f64 (log.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (.f64 i 4) -1))))) 3))))))

simplify36.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

330×	`rule-/ab-*+aa/1/2b_binary64`
326×	`rule-a-*a1_binary64`
326×	`rule-a--a0_binary64`
326×	`rule-a-+a0_binary64`
326×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	203	1374
1	1542	1370

Stop Event

1×	node limit

Counts

200 → 222

Calls

Call 1

Inputs
(/.f64 (pow.f64 (cbrt.f64 1/4) 2) i)
(+.f64 (.f64 1/48 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 3)))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) i))
(+.f64 (.f64 1/288 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 5)))) (+.f64 (.f64 1/48 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 3)))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) i)))
(+.f64 (.f64 1/288 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 5)))) (+.f64 (.f64 1/48 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 3)))) (+.f64 (/.f64 (pow.f64 (cbrt.f64 1/4) 2) i) (.f64 1/3 (/.f64 (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6)))) (*.f64 (cbrt.f64 1/4) (pow.f64 i 7)))))))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) i))
(+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) i)) (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 3)))))
(+.f64 (.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 5)))) (+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) i)) (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 3))))))
(+.f64 (.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 5)))) (+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) i)) (+.f64 (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 3)))) (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -1/4) (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6))))) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 7)))))))
(pow.f64 (cbrt.f64 1/4) 6)
(+.f64 (pow.f64 (cbrt.f64 1/4) 6) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/576 (/.f64 1 (pow.f64 i 4))) (+.f64 (pow.f64 (cbrt.f64 1/4) 6) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/144 (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 i 4)) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (.f64 1/576 (/.f64 1 (pow.f64 i 4))) (+.f64 (.f64 1/6912 (/.f64 1 (pow.f64 i 6))) (+.f64 (pow.f64 (cbrt.f64 1/4) 6) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/144 (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 i 4)) (+.f64 (.f64 1/12 (/.f64 (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6)))) (pow.f64 i 6))) (+.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (+.f64 (.f64 2/3 (.f64 (cbrt.f64 1/4) (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6)))))) (.f64 1/6912 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 i 6)) (+.f64 (.f64 1/48 (/.f64 (+.f64 (.f64 1/144 (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (pow.f64 i 6) (cbrt.f64 1/4)))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/576 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 -1/4) (+.f64 (.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4))) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4)))))) (pow.f64 i 4))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 -1/4) (+.f64 (.f64 1/6912 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4))) (.f64 2/3 (/.f64 (.f64 (pow.f64 (cbrt.f64 -1/4) 2) (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6))))) (cbrt.f64 1/4)))))) (pow.f64 i 6))) (+.f64 (.f64 1/576 (/.f64 1 (pow.f64 i 4))) (+.f64 (.f64 1/6912 (/.f64 1 (pow.f64 i 6))) (+.f64 1/16 (+.f64 (.f64 1/12 (/.f64 (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6)))) (pow.f64 i 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 -1/4) (+.f64 (.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4))) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4)))))) (pow.f64 i 4))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 -1/48 (/.f64 (.f64 (cbrt.f64 -1/4) (+.f64 (.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4))) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4))))) (.f64 (pow.f64 i 6) (pow.f64 (cbrt.f64 1/4) 2)))))))))))
(pow.f64 (cbrt.f64 1/4) 2)
(+.f64 (.f64 1/48 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 2)))) (pow.f64 (cbrt.f64 1/4) 2))
(+.f64 (.f64 1/288 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 4)))) (+.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 1/48 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 2))))))
(+.f64 (.f64 1/3 (/.f64 (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6)))) (.f64 (cbrt.f64 1/4) (pow.f64 i 6)))) (+.f64 (.f64 1/288 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 4)))) (+.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 1/48 (/.f64 1 (*.f64 (cbrt.f64 1/4) (pow.f64 i 2)))))))
(.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4))) (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 2)))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4))) (+.f64 (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 2)))) (.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 4))))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4))) (+.f64 (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 2)))) (+.f64 (.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 4)))) (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -1/4) (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6))))) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 6)))))))
(/.f64 -1/4 i)
(-.f64 (.f64 -1 i) (.f64 1/4 (/.f64 1 i)))
(-.f64 (+.f64 (.f64 -4 (pow.f64 i 3)) (.f64 -1 i)) (*.f64 1/4 (/.f64 1 i)))
(-.f64 (+.f64 (.f64 -4 (pow.f64 i 3)) (+.f64 (.f64 -1 i) (.f64 -16 (pow.f64 i 5)))) (.f64 1/4 (/.f64 1 i)))
(/.f64 1/16 (pow.f64 i 3))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/64 (/.f64 1 (pow.f64 i 5))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (*.f64 1/64 (/.f64 1 (pow.f64 i 5)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (.f64 1/1024 (/.f64 1 (pow.f64 i 9))))))
(/.f64 1/16 (pow.f64 i 3))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/64 (/.f64 1 (pow.f64 i 5))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (*.f64 1/64 (/.f64 1 (pow.f64 i 5)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (.f64 1/1024 (/.f64 1 (pow.f64 i 9))))))

Outputs
(/.f64 (pow.f64 (cbrt.f64 1/4) 2) i)
(+.f64 (.f64 1/48 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 3)))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) i))
(+.f64 (/.f64 (pow.f64 (cbrt.f64 1/4) 2) i) (/.f64 1/48 (*.f64 (cbrt.f64 1/4) (pow.f64 i 3))))
(+.f64 (.f64 1/288 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 5)))) (+.f64 (.f64 1/48 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 3)))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) i)))
(+.f64 (/.f64 1/48 (.f64 (cbrt.f64 1/4) (pow.f64 i 3))) (+.f64 (/.f64 1/288 (.f64 (cbrt.f64 1/4) (pow.f64 i 5))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) i)))
(+.f64 (/.f64 1/48 (.f64 (cbrt.f64 1/4) (pow.f64 i 3))) (+.f64 (/.f64 (pow.f64 (cbrt.f64 1/4) 2) i) (/.f64 1/288 (.f64 (cbrt.f64 1/4) (pow.f64 i 5)))))
(+.f64 (.f64 1/288 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 5)))) (+.f64 (.f64 1/48 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 3)))) (+.f64 (/.f64 (pow.f64 (cbrt.f64 1/4) 2) i) (.f64 1/3 (/.f64 (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6)))) (*.f64 (cbrt.f64 1/4) (pow.f64 i 7)))))))
(+.f64 (/.f64 1/48 (.f64 (cbrt.f64 1/4) (pow.f64 i 3))) (+.f64 (/.f64 1/288 (.f64 (cbrt.f64 1/4) (pow.f64 i 5))) (+.f64 (/.f64 (pow.f64 (cbrt.f64 1/4) 2) i) (.f64 1/3 (/.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (.f64 (cbrt.f64 1/4) (pow.f64 i 7)))))))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) i))
(.f64 -1 (.f64 (cbrt.f64 -1/4) (/.f64 (cbrt.f64 1/4) i)))
(*.f64 (neg.f64 (cbrt.f64 -1/4)) (/.f64 (cbrt.f64 1/4) i))
(+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) i)) (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 3)))))
(fma.f64 -1 (.f64 (cbrt.f64 -1/4) (/.f64 (cbrt.f64 1/4) i)) (.f64 -1/48 (/.f64 (/.f64 (cbrt.f64 -1/4) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 i 3))))
(fma.f64 -1 (.f64 (cbrt.f64 1/4) (/.f64 (cbrt.f64 -1/4) i)) (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 3)))))
(+.f64 (.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 5)))) (+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) i)) (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 3))))))
(fma.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 5))) (fma.f64 -1 (.f64 (cbrt.f64 -1/4) (/.f64 (cbrt.f64 1/4) i)) (*.f64 -1/48 (/.f64 (/.f64 (cbrt.f64 -1/4) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 i 3)))))
(fma.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 5))) (fma.f64 -1 (.f64 (cbrt.f64 1/4) (/.f64 (cbrt.f64 -1/4) i)) (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 3))))))
(+.f64 (.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 5)))) (+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) i)) (+.f64 (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 3)))) (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -1/4) (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6))))) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 7)))))))
(fma.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 5))) (fma.f64 -1 (.f64 (cbrt.f64 -1/4) (/.f64 (cbrt.f64 1/4) i)) (fma.f64 -1/48 (/.f64 (/.f64 (cbrt.f64 -1/4) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 i 3)) (.f64 -1/3 (.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (/.f64 (cbrt.f64 -1/4) (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 7))))))))
(fma.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 5))) (fma.f64 -1 (.f64 (cbrt.f64 1/4) (/.f64 (cbrt.f64 -1/4) i)) (fma.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 3))) (.f64 -1/3 (*.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (/.f64 (/.f64 (cbrt.f64 -1/4) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 i 7)))))))
(pow.f64 (cbrt.f64 1/4) 6)
(+.f64 (pow.f64 (cbrt.f64 1/4) 6) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (pow.f64 (cbrt.f64 1/4) 6) (/.f64 1/64 (*.f64 i i)))
(+.f64 (pow.f64 (cbrt.f64 1/4) 6) (/.f64 (/.f64 1/64 i) i))
(+.f64 (.f64 1/576 (/.f64 1 (pow.f64 i 4))) (+.f64 (pow.f64 (cbrt.f64 1/4) 6) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/144 (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 i 4)) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (pow.f64 (cbrt.f64 1/4) 6) (+.f64 (/.f64 1/576 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (.f64 i i)) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (/.f64 (fma.f64 1/144 (cbrt.f64 1/4) (/.f64 1/2304 (pow.f64 (cbrt.f64 1/4) 2))) (pow.f64 i 4))))))
(+.f64 (pow.f64 (cbrt.f64 1/4) 6) (+.f64 (/.f64 1/576 (pow.f64 i 4)) (+.f64 (/.f64 (/.f64 1/64 i) i) (*.f64 (fma.f64 1/144 (cbrt.f64 1/4) (/.f64 1/2304 (pow.f64 (cbrt.f64 1/4) 2))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 4))))))
(+.f64 (.f64 1/576 (/.f64 1 (pow.f64 i 4))) (+.f64 (.f64 1/6912 (/.f64 1 (pow.f64 i 6))) (+.f64 (pow.f64 (cbrt.f64 1/4) 6) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/144 (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 i 4)) (+.f64 (.f64 1/12 (/.f64 (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6)))) (pow.f64 i 6))) (+.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (+.f64 (.f64 2/3 (.f64 (cbrt.f64 1/4) (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6)))))) (.f64 1/6912 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 i 6)) (+.f64 (.f64 1/48 (/.f64 (+.f64 (.f64 1/144 (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (pow.f64 i 6) (cbrt.f64 1/4)))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))))))
(+.f64 (/.f64 1/576 (pow.f64 i 4)) (+.f64 (/.f64 1/6912 (pow.f64 i 6)) (+.f64 (pow.f64 (cbrt.f64 1/4) 6) (+.f64 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (/.f64 (fma.f64 1/144 (cbrt.f64 1/4) (/.f64 1/2304 (pow.f64 (cbrt.f64 1/4) 2))) (pow.f64 i 4))) (fma.f64 1/12 (/.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (pow.f64 i 6)) (+.f64 (.f64 (fma.f64 2/3 (.f64 (cbrt.f64 1/4) (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6)))) (/.f64 1/6912 (pow.f64 (cbrt.f64 1/4) 2))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 6))) (fma.f64 1/48 (/.f64 (fma.f64 1/144 (cbrt.f64 1/4) (/.f64 1/2304 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 1/4) (pow.f64 i 6))) (/.f64 1/64 (*.f64 i i)))))))))
(+.f64 (/.f64 1/576 (pow.f64 i 4)) (+.f64 (pow.f64 (cbrt.f64 1/4) 6) (+.f64 (/.f64 1/6912 (pow.f64 i 6)) (+.f64 (.f64 (fma.f64 1/144 (cbrt.f64 1/4) (/.f64 1/2304 (pow.f64 (cbrt.f64 1/4) 2))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 4))) (fma.f64 1/12 (/.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (pow.f64 i 6)) (+.f64 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (/.f64 (fma.f64 2/3 (.f64 (cbrt.f64 1/4) (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6)))) (/.f64 1/6912 (pow.f64 (cbrt.f64 1/4) 2))) (pow.f64 i 6))) (fma.f64 1/48 (/.f64 (fma.f64 1/144 (cbrt.f64 1/4) (/.f64 1/2304 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 1/4) (pow.f64 i 6))) (/.f64 (/.f64 1/64 i) i))))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)
(+.f64 (/.f64 (/.f64 1/64 i) i) 1/16)
(+.f64 (.f64 1/576 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 -1/4) (+.f64 (.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4))) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4)))))) (pow.f64 i 4))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (/.f64 1/576 (pow.f64 i 4)) (+.f64 1/16 (fma.f64 -1 (.f64 (.f64 (cbrt.f64 -1/4) (fma.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4))))) (/.f64 (cbrt.f64 1/4) (pow.f64 i 4))) (/.f64 1/64 (.f64 i i)))))
(+.f64 (/.f64 1/576 (pow.f64 i 4)) (+.f64 1/16 (fma.f64 -1 (.f64 (cbrt.f64 1/4) (/.f64 (.f64 (cbrt.f64 -1/4) (fma.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4)) (*.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4))))) (pow.f64 i 4))) (/.f64 (/.f64 1/64 i) i))))
(+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 -1/4) (+.f64 (.f64 1/6912 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4))) (.f64 2/3 (/.f64 (.f64 (pow.f64 (cbrt.f64 -1/4) 2) (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6))))) (cbrt.f64 1/4)))))) (pow.f64 i 6))) (+.f64 (.f64 1/576 (/.f64 1 (pow.f64 i 4))) (+.f64 (.f64 1/6912 (/.f64 1 (pow.f64 i 6))) (+.f64 1/16 (+.f64 (.f64 1/12 (/.f64 (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6)))) (pow.f64 i 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 -1/4) (+.f64 (.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4))) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4)))))) (pow.f64 i 4))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 -1/48 (/.f64 (.f64 (cbrt.f64 -1/4) (+.f64 (.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4))) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4))))) (.f64 (pow.f64 i 6) (pow.f64 (cbrt.f64 1/4) 2)))))))))))
(fma.f64 -1 (.f64 (.f64 (cbrt.f64 -1/4) (fma.f64 1/6912 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4)) (.f64 2/3 (.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4)))))) (/.f64 (cbrt.f64 1/4) (pow.f64 i 6))) (+.f64 (/.f64 1/576 (pow.f64 i 4)) (+.f64 (/.f64 1/6912 (pow.f64 i 6)) (+.f64 1/16 (fma.f64 1/12 (/.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (pow.f64 i 6)) (fma.f64 -1 (.f64 (.f64 (cbrt.f64 -1/4) (fma.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4))))) (/.f64 (cbrt.f64 1/4) (pow.f64 i 4))) (+.f64 (/.f64 1/64 (.f64 i i)) (.f64 -1/48 (.f64 (fma.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4)))) (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 6))))))))))))
(fma.f64 -1 (.f64 (.f64 (cbrt.f64 -1/4) (fma.f64 1/6912 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4)) (/.f64 2/3 (/.f64 (/.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 -1/4) 2)) (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))))))) (/.f64 (cbrt.f64 1/4) (pow.f64 i 6))) (+.f64 (/.f64 1/576 (pow.f64 i 4)) (+.f64 (/.f64 1/6912 (pow.f64 i 6)) (+.f64 1/16 (fma.f64 1/12 (/.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (pow.f64 i 6)) (fma.f64 -1 (.f64 (cbrt.f64 1/4) (/.f64 (.f64 (cbrt.f64 -1/4) (fma.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4))))) (pow.f64 i 4))) (+.f64 (/.f64 (/.f64 1/64 i) i) (.f64 -1/48 (.f64 (cbrt.f64 -1/4) (/.f64 (fma.f64 1/144 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (cbrt.f64 1/4)) (.f64 1/2304 (/.f64 (pow.f64 (cbrt.f64 -1/4) 2) (pow.f64 (cbrt.f64 1/4) 4)))) (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 6))))))))))))
(pow.f64 (cbrt.f64 1/4) 2)
(+.f64 (.f64 1/48 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 2)))) (pow.f64 (cbrt.f64 1/4) 2))
(+.f64 (pow.f64 (cbrt.f64 1/4) 2) (/.f64 1/48 (.f64 (cbrt.f64 1/4) (.f64 i i))))
(+.f64 (pow.f64 (cbrt.f64 1/4) 2) (/.f64 (/.f64 1/48 (*.f64 i i)) (cbrt.f64 1/4)))
(+.f64 (.f64 1/288 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 4)))) (+.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 1/48 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 2))))))
(+.f64 (pow.f64 (cbrt.f64 1/4) 2) (+.f64 (/.f64 1/288 (.f64 (cbrt.f64 1/4) (pow.f64 i 4))) (/.f64 1/48 (.f64 (cbrt.f64 1/4) (*.f64 i i)))))
(+.f64 (pow.f64 (cbrt.f64 1/4) 2) (+.f64 (/.f64 (/.f64 1/48 (*.f64 i i)) (cbrt.f64 1/4)) (/.f64 (/.f64 1/288 (cbrt.f64 1/4)) (pow.f64 i 4))))
(+.f64 (.f64 1/3 (/.f64 (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6)))) (.f64 (cbrt.f64 1/4) (pow.f64 i 6)))) (+.f64 (.f64 1/288 (/.f64 1 (.f64 (cbrt.f64 1/4) (pow.f64 i 4)))) (+.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 1/48 (/.f64 1 (*.f64 (cbrt.f64 1/4) (pow.f64 i 2)))))))
(fma.f64 1/3 (/.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (.f64 (cbrt.f64 1/4) (pow.f64 i 6))) (+.f64 (pow.f64 (cbrt.f64 1/4) 2) (+.f64 (/.f64 1/288 (.f64 (cbrt.f64 1/4) (pow.f64 i 4))) (/.f64 1/48 (.f64 (cbrt.f64 1/4) (.f64 i i))))))
(fma.f64 1/3 (/.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (.f64 (cbrt.f64 1/4) (pow.f64 i 6))) (+.f64 (pow.f64 (cbrt.f64 1/4) 2) (+.f64 (/.f64 (/.f64 1/48 (.f64 i i)) (cbrt.f64 1/4)) (/.f64 (/.f64 1/288 (cbrt.f64 1/4)) (pow.f64 i 4)))))
(.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)))
(*.f64 (cbrt.f64 1/4) (neg.f64 (cbrt.f64 -1/4)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4))) (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 2)))))
(fma.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 i i)))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4))) (+.f64 (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 2)))) (.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 4))))))
(fma.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) (fma.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 i i))) (.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 4))))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4))) (+.f64 (.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 2)))) (+.f64 (.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 4)))) (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -1/4) (-.f64 5/2304 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 6))))) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 6)))))))
(fma.f64 -1 (.f64 (cbrt.f64 1/4) (cbrt.f64 -1/4)) (fma.f64 -1/48 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 i i))) (fma.f64 -1/288 (/.f64 (cbrt.f64 -1/4) (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 4))) (.f64 -1/3 (.f64 (-.f64 5/2304 (/.f64 1/110592 (pow.f64 (cbrt.f64 1/4) 6))) (/.f64 (cbrt.f64 -1/4) (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 i 6))))))))
(/.f64 -1/4 i)
(-.f64 (.f64 -1 i) (.f64 1/4 (/.f64 1 i)))
(fma.f64 -1 i (neg.f64 (/.f64 1/4 i)))
(-.f64 (neg.f64 i) (/.f64 1/4 i))
(-.f64 (+.f64 (.f64 -4 (pow.f64 i 3)) (.f64 -1 i)) (*.f64 1/4 (/.f64 1 i)))
(-.f64 (fma.f64 -4 (pow.f64 i 3) (*.f64 i -1)) (/.f64 1/4 i))
(-.f64 (fma.f64 -4 (pow.f64 i 3) (neg.f64 i)) (/.f64 1/4 i))
(-.f64 (+.f64 (.f64 -4 (pow.f64 i 3)) (+.f64 (.f64 -1 i) (.f64 -16 (pow.f64 i 5)))) (.f64 1/4 (/.f64 1 i)))
(-.f64 (fma.f64 -4 (pow.f64 i 3) (fma.f64 -1 i (*.f64 (pow.f64 i 5) -16))) (/.f64 1/4 i))
(/.f64 1/16 (pow.f64 i 3))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/64 (/.f64 1 (pow.f64 i 5))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/64 (pow.f64 i 5)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (*.f64 1/64 (/.f64 1 (pow.f64 i 5)))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (/.f64 1/64 (pow.f64 i 5))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (/.f64 1/256 (pow.f64 i 7))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (.f64 1/1024 (/.f64 1 (pow.f64 i 9))))))
(+.f64 (/.f64 1/256 (pow.f64 i 7)) (+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (/.f64 1/1024 (pow.f64 i 9)))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (/.f64 1/1024 (pow.f64 i 9)))))
(/.f64 1/16 (pow.f64 i 3))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/64 (/.f64 1 (pow.f64 i 5))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/64 (pow.f64 i 5)))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (*.f64 1/64 (/.f64 1 (pow.f64 i 5)))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (/.f64 1/64 (pow.f64 i 5))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (/.f64 1/256 (pow.f64 i 7))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (.f64 1/1024 (/.f64 1 (pow.f64 i 9))))))
(+.f64 (/.f64 1/256 (pow.f64 i 7)) (+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (/.f64 1/1024 (pow.f64 i 9)))))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (+.f64 (/.f64 1/256 (pow.f64 i 7)) (+.f64 (/.f64 1/64 (pow.f64 i 5)) (/.f64 1/1024 (pow.f64 i 9)))))

prune204.0ms (9.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	222	4	226

Error

Counts

226 → 4

Alt Table

Status	Error	Program
✓	25.0b	(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))
✓	19.3b	(pow.f64 (.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3)
▶	32.0b	(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
	32.1b	(*.f64 -1/4 (pow.f64 i 2))

Compiler

Compiled 5556 to 4510 computations (18.8% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
✓	0.3b	(/.f64 1/64 (*.f64 i i))
✓	0.3b	(/.f64 1/256 (pow.f64 i 4))

series4.0ms (0.2%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(/.f64 1/256 (pow.f64 i 4))
1.0ms	i	@	0	(/.f64 1/64 (*.f64 i i))
0.0ms	i	@	0	(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
0.0ms	i	@	inf	(/.f64 1/256 (pow.f64 i 4))
0.0ms	i	@	inf	(/.f64 1/64 (*.f64 i i))

rewrite56.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

286×	`rule-aa-fabsaa_binary64`
215×	`rule-nega--0a_binary64`
215×	`rule-nega-/a-1_binary64`
215×	`rule-nega-*a-1_binary64`
136×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	335	33
2	4289	33

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs
(/.f64 1/256 (pow.f64 i 4))
(/.f64 1/64 (*.f64 i i))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/256 (pow.f64 i 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/256 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 1/256 (pow.f64 i 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/256 (pow.f64 i 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1/256 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/256 (pow.f64 i 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/256 (pow.f64 i 4))) (/.f64 1/256 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/256 (/.f64 1 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/256 (pow.f64 i 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/256 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/256 (pow.f64 i 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 i 4))) (pow.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 i 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 i 4))) 2) (cbrt.f64 (/.f64 1/256 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/16 (*.f64 i i)) (/.f64 1/16 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/128 (/.f64 1/2 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 i 4)) 1/128)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/256 (pow.f64 i 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/256 (pow.f64 i 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 i 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/16 (*.f64 i i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/16777216 (pow.f64 (pow.f64 i 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1/256 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/256 (pow.f64 i 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/256 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/256 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/256 (pow.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/16777216 (pow.f64 (pow.f64 i 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/256 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/256 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/256 (pow.f64 i 4)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 i 4))) 2) (cbrt.f64 (/.f64 1/256 (pow.f64 i 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/16 (*.f64 i i)) (/.f64 1/16 (*.f64 i i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/128 (/.f64 1/2 (pow.f64 i 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/256 (pow.f64 i 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/64 (*.f64 i i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/64 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 1/64 (*.f64 i i)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/64 (*.f64 i i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1/64 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/64 (*.f64 i i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/64 (*.f64 i i))) (/.f64 1/64 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/64 (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/64 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/64 (*.f64 i i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) (pow.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 2) (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 i) (/.f64 1/8 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/32 (/.f64 1/2 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 i i)) 1/32)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/64 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/64 (*.f64 i i))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/64 i) (/.f64 1/64 i)) (/.f64 1/2 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/64 (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/8 i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/262144 (pow.f64 i 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1/64 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/64 (*.f64 i i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/64 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/64 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/64 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/262144 (pow.f64 i 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/64 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/64 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/64 (*.f64 i i)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 2) (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/8 i) (/.f64 1/8 i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/32 (/.f64 1/2 (*.f64 i i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/64 (*.f64 i i))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) 2) (cbrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) (sqrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16) 3) (/.f64 1/16777216 (pow.f64 (pow.f64 i 4) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16) 3) (/.f64 1/16777216 (pow.f64 (pow.f64 i 4) 3)))) (/.f64 1/2 (+.f64 (pow.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16) 2) (-.f64 (pow.f64 (/.f64 1/256 (pow.f64 i 4)) 2) (*.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 3) (pow.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16) 3) (/.f64 1/16777216 (pow.f64 (pow.f64 i 4) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16) 2) (-.f64 (pow.f64 (/.f64 1/256 (pow.f64 i 4)) 2) (*.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/256 (pow.f64 i 4)) 1 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16) 1 (/.f64 1/256 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) 2) (cbrt.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) (/.f64 1/256 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) 2) (cbrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 i 4))) 2) (cbrt.f64 (/.f64 1/256 (pow.f64 i 4))) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) (sqrt.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)) (/.f64 1/256 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) (sqrt.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/16 (*.f64 i i)) (/.f64 1/16 (*.f64 i i)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/128 (/.f64 1/2 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))))))))

simplify28.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

334×	`rule-/ab-*+aa/1/2b_binary64`
260×	`rule-a-*a1_binary64`
260×	`rule-a--a0_binary64`
260×	`rule-a-+a0_binary64`
260×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	243
1	135	243
2	358	243
3	1592	243

Stop Event

1×	node limit

Counts

133 → 120

Calls

Call 1

Inputs
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/256 (pow.f64 i 4))
(+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 1/256 (/.f64 1 (pow.f64 i 4))))
(+.f64 1/16 (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 1/16 (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))

Outputs
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(/.f64 1/256 (pow.f64 i 4))
(+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 1/256 (/.f64 1 (pow.f64 i 4))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 1/16 (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) 1/16))
(+.f64 1/16 (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) 1/16))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) 1/16))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) 1/16))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (/.f64 1/64 (*.f64 i i)) 1/16)
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) 1/16))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) 1/16))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) 1/16))

prune73.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	120	4	124

Error

Counts

124 → 4

Alt Table

Status	Error	Program
✓	25.0b	(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))
✓	19.3b	(pow.f64 (.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3)
✓	32.0b	(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
▶	32.1b	(*.f64 -1/4 (pow.f64 i 2))

Compiler

Compiled 2190 to 1630 computations (25.6% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/4 (pow.f64 i 2))

series3.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	i	@	0	(*.f64 -1/4 (pow.f64 i 2))
1.0ms	i	@	inf	(*.f64 -1/4 (pow.f64 i 2))
0.0ms	i	@	-inf	(*.f64 -1/4 (pow.f64 i 2))

rewrite29.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`rules-30_binary64`
598×	`rules-31_binary64`
598×	`rules-32_binary64`
598×	`rules-33_binary64`
547×	`rules-27_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	157	7
2	1834	7

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 i 2))

Outputs

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

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

29 → 29

Calls

Call 1

Inputs

Outputs

prune14.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	29	4	33

Error

Counts

33 → 4

Alt Table

Status	Error	Program
✓	25.0b	(.f64 (pow.f64 i 3) (/.f64 (/.f64 1/4 i) (fma.f64 i (.f64 i 4) -1)))
✓	19.3b	(pow.f64 (.f64 i (cbrt.f64 (/.f64 1/4 (.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3)
✓	32.0b	(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
✓	32.1b	(*.f64 -1/4 (pow.f64 i 2))

Compiler

Compiled 321 to 206 computations (35.8% saved)

regimes30.0ms (1.4%)

Accuracy

Total -63.4b remaining (-17565.4%)

Threshold costs -63.4b (-17565.4%)

Counts

10 → 2

Compiler

Compiled 159 to 110 computations (30.8% saved)

bsearch28.0ms (1.4%)

Algorithm

1×	binary-search

Calls

1 calls:

28.0ms

Steps

Iters	Point		Range
26.34059804421463	∈ [	26.34059804421463	,	262.54033841919687	]

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	47

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 i 115847175328751/4398046511104) (pow.f64 (*.f64 i (cbrt.f64 (/.f64 1/4 (*.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3) (+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4))))

Outputs

(if (<=.f64 i 115847175328751/4398046511104) (pow.f64 (*.f64 i (cbrt.f64 (/.f64 1/4 (*.f64 i (fma.f64 i (*.f64 i 4) -1))))) 3) (+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4))))

end84.0ms (4%)

Stop Event

1×

done

Compiler

Compiled 113 to 84 computations (25.7% saved)

Details

analyze9.0ms (0.4%)

sample1.1s (53.2%)

preprocess47.0ms (2.3%)

simplify36.0ms (1.7%)

prune4.0ms (0.2%)

localize8.0ms (0.4%)

series5.0ms (0.2%)

rewrite54.0ms (2.6%)

simplify29.0ms (1.4%)

prune83.0ms (4%)

localize9.0ms (0.4%)

series17.0ms (0.8%)

rewrite68.0ms (3.3%)

simplify36.0ms (1.7%)

prune204.0ms (9.8%)

localize9.0ms (0.4%)

series4.0ms (0.2%)

rewrite56.0ms (2.7%)

simplify28.0ms (1.4%)

prune73.0ms (3.5%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite29.0ms (1.4%)

simplify7.0ms (0.3%)

prune14.0ms (0.7%)

regimes30.0ms (1.4%)

bsearch28.0ms (1.4%)

simplify1.0ms (0.1%)

end84.0ms (4%)

Profiling