Details

analyze11.0ms (0.2%)

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample2.3s (47.8%)

Results

2.3s

8256×

body

256

valid

preprocess111.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

579×	`associate-/r*_binary64`
516×	`cancel-sign-sub-inv_binary64`
496×	`distribute-rgt-in_binary64`
478×	`distribute-lft-in_binary64`
434×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	40	26
2	200	17
3	1341	13
4	3774	13
5	6220	13
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 i (.f64 i i))) (.f64 (+.f64 (.f64 4 (.f64 i i)) -1) (.f64 4 (.f64 i i))))
(.f64 (/.f64 i (fma.f64 4 (.f64 i i) -1)) (/.f64 (pow.f64 i 3) (.f64 i (.f64 i 4))))
(.f64 (/.f64 i (fma.f64 (.f64 i i) 4 -1)) (/.f64 i 4))
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-/r*_binary64`
516×	`cancel-sign-sub-inv_binary64`
496×	`distribute-rgt-in_binary64`
478×	`distribute-lft-in_binary64`
434×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	40	26
2	200	17
3	1341	13
4	3774	13
5	6220	13

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

eval2.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% saved)

prune3.0ms (0.1%)

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

0.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.3b	(/.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))
▶	0.6b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

Compiler

Compiled 36 to 25 computations (30.6% saved)

localize21.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
✓	0.8b	(/.f64 -1 (*.f64 i i))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series8.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite178.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`unpow-prod-down_binary64`
386×	`log-prod_binary64`
305×	`exp-prod_binary64`
256×	`prod-exp_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	203	17
2	2514	17

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(/.f64 -1 (*.f64 i i))
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 i -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (pow.f64 i -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 i -4)) (cbrt.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 -1) i) (/.f64 (sqrt.f64 -1) i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 i -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 i) (pow.f64 (/.f64 1 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 i) (/.f64 -1 i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (cbrt.f64 i) i)) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 i) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (neg.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 -1 1/3) (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) 2) 3) (cbrt.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 i (neg.f64 i))) 2) -1) (cbrt.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (neg.f64 (.f64 (cbrt.f64 i) i)) -1) (pow.f64 (pow.f64 (cbrt.f64 i) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 i -4) -1) 1/3) (cbrt.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 i -4) (cbrt.f64 (pow.f64 i -4))) 1/3) (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 i -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 -1) i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 i -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 i (neg.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1 (pow.f64 i -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 (pow.f64 i -2)))) 2)) (cbrt.f64 (log.f64 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (neg.f64 (pow.f64 i -2))))) (sqrt.f64 (log.f64 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 i -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -1 (pow.f64 i -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 -1) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 i (neg.f64 i))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1 (pow.f64 i -6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 -1 i)) (*.f64 (log.f64 i) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/4 (/.f64 1 (neg.f64 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/4 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -6) 64)) (-.f64 (+.f64 16 (pow.f64 i -4)) (.f64 -4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -6) 64)) 1) (-.f64 (+.f64 16 (pow.f64 i -4)) (.f64 -4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 1) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)) 1/4) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 5/2) 1/3) (cbrt.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 1/4) 3) (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2) 3) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4)) 2) -1) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2)) (cbrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))) (sqrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 1) 1))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (neg.f64 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -6) 64)) (-.f64 (+.f64 16 (pow.f64 i -4)) (*.f64 -4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -6) 64)) 1) (-.f64 (+.f64 16 (pow.f64 i -4)) (*.f64 -4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 1) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)) 1/4) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 5/2) 1/3) (cbrt.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/4) 3) (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2) 3) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4)) 2) -1) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2)) (cbrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))) (sqrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 1) 1))))))

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

691×	`cancel-sign-sub-inv_binary64`
657×	`fma-neg_binary64`
472×	`distribute-lft-out_binary64`
413×	`unswap-sqr_binary64`
410×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	270
1	91	267
2	214	267
3	643	267
4	3200	267

Stop Event

1×	node limit

Counts

123 → 116

Calls

Call 1

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

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

localize32.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 i i) (*.f64 i i))
✓	15.0b	(/.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))
✓	42.5b	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i)))

New

Error

Program

✓

0.1b

(*.f64 (*.f64 i i) (*.f64 i i))

✓

15.0b

(/.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))

✓

42.5b

(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

Compiler

Compiled 73 to 39 computations (46.6% saved)

series50.0ms (1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	i	@	0	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i)))
1.0ms	i	@	inf	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i)))
0.0ms	i	@	inf	(.f64 (.f64 i i) (*.f64 i i))
0.0ms	i	@	0	(.f64 (.f64 i i) (*.f64 i i))
0.0ms	i	@	0	(/.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))

rewrite173.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`log-prod_binary64`
508×	`prod-diff_binary64`
288×	`fma-def_binary64`
260×	`log-div_binary64`
217×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	255	40
2	3965	40

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Inputs

(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

(/.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 i) (*.f64 i i))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 i 4)) (/.f64 1/4 (.f64 i i)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 i 4)) (/.f64 1/4 (.f64 i i)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 i 4)) (/.f64 1/4 (.f64 i i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 i 4)) (/.f64 1/4 (.f64 i i))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 i 4)) (/.f64 1/4 (.f64 i i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 i (.f64 (pow.f64 i 3) (/.f64 1/4 (.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i i) (/.f64 1 (.f64 4 (/.f64 (.f64 i i) (.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 i i) (.f64 (.f64 i i) (/.f64 1/4 (.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 i 3) (.f64 i (/.f64 1/4 (.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i)))) 2) (cbrt.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) (.f64 (.f64 i (cbrt.f64 i)) (/.f64 1/4 (.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 i i) (/.f64 i 2)) (.f64 (/.f64 i i) (/.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 i 4)) (/.f64 1 (.f64 -4 (.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (.f64 i i)) (pow.f64 i 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 (pow.f64 i 4) i)) (/.f64 1 (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (pow.f64 i 4) (.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i 2) (/.f64 (pow.f64 i 3) (.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i i) 2) (/.f64 (.f64 i i) (.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 i 3) 2) (/.f64 i (.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) 2) (/.f64 (.f64 i (cbrt.f64 i)) (.f64 i (+.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i (+.f64 i i)) (/.f64 (pow.f64 i 3) (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 i 3) (+.f64 i i)) (/.f64 i (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 i i)) (.f64 1/2 (/.f64 (pow.f64 i 4) i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) (+.f64 i i)) (/.f64 (.f64 i (cbrt.f64 i)) (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i 1) (/.f64 (pow.f64 i 3) (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i i) 1) (/.f64 (.f64 i i) (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i i) (.f64 i (.f64 i 4))) (.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 i 3) 1) (/.f64 i (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) 1) (/.f64 (.f64 i (cbrt.f64 i)) (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i 4) (/.f64 (pow.f64 i 3) (.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i i) 4) (/.f64 (.f64 i i) (.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (pow.f64 i 4) (.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 i 3) 4) (/.f64 i (.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) 4) (/.f64 (.f64 i (cbrt.f64 i)) (.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i (cbrt.f64 (.f64 16 (pow.f64 i 4)))) (/.f64 (pow.f64 i 3) (pow.f64 (cbrt.f64 (+.f64 i i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i i) (cbrt.f64 (.f64 16 (pow.f64 i 4)))) (/.f64 (.f64 i i) (pow.f64 (cbrt.f64 (+.f64 i i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 16 (pow.f64 i 4)))) (/.f64 (pow.f64 i 4) (pow.f64 (cbrt.f64 (+.f64 i i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 i 3) (cbrt.f64 (.f64 16 (pow.f64 i 4)))) (/.f64 i (pow.f64 (cbrt.f64 (+.f64 i i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) (cbrt.f64 (.f64 16 (pow.f64 i 4)))) (cbrt.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 i (.f64 i 4)) (/.f64 (pow.f64 i 3) i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i i) (.f64 i 4)) (/.f64 (.f64 i i) i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 i 4)) (/.f64 (pow.f64 i 4) i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 i 3) (.f64 i 4)) (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) (.f64 i 4)) (/.f64 (.f64 i (cbrt.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 i i) (/.f64 i 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (/.f64 (.f64 i i) (pow.f64 i 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 i 4) (.f64 -4 (.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (.f64 i i) 4) (.f64 16 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 i 4)) (/.f64 1/4 (.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 i 4) 3) (pow.f64 (+.f64 i i) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 i 4) (/.f64 1/4 (.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 i 4) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 i 4) (.f64 (.f64 i (.f64 i 4)) (fma.f64 i (.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (.f64 (.f64 i (.f64 i 4)) (fma.f64 i (.f64 i 4) -1))))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (.f64 (.f64 i (.f64 i 4)) (fma.f64 i (.f64 i 4) -1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (.f64 (.f64 i (.f64 i 4)) (fma.f64 i (.f64 i 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (.f64 (.f64 i (.f64 i 4)) (fma.f64 i (.f64 i 4) -1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (.f64 (.f64 i (.f64 i 4)) (fma.f64 i (.f64 i 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 i 4) (.f64 (.f64 i (.f64 i 4)) (fma.f64 i (.f64 i 4) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 i 4) (/.f64 1 (.f64 (.f64 i (.f64 i 4)) 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Outputs

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

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

691×	`cancel-sign-sub-inv_binary64`
657×	`fma-neg_binary64`
473×	`distribute-lft-out_binary64`
413×	`unswap-sqr_binary64`
410×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	318
1	93	315
2	218	315
3	652	315
4	3251	315

Stop Event

1×	node limit

Counts

167 → 148

Calls

Call 1

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

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

eval348.0ms (7.1%)

Compiler: Compiled 5022 to 3769 computations (25% saved)

prune148.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	260	4	264
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	261	5	266

Error

Counts

266 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.6b	(/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) (/.f64 1/4 (.f64 i i)))) (-.f64 (.f64 (.f64 2 i) (.f64 2 i)) 1))
✓	0.6b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
▶	31.1b	(.f64 i (.f64 i -1/4))
▶	33.2b	(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))
	32.8b	1/16

Compiler

Compiled 50 to 34 computations (32% saved)

localize9.0ms (0.2%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize24.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1/64 i) i)

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(/.f64 (/.f64 1/64 i) i)
1.0ms	i	@	inf	(/.f64 (/.f64 1/64 i) i)
0.0ms	i	@	-inf	(/.f64 (/.f64 1/64 i) i)

rewrite97.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`pow1_binary64`
546×	`add-log-exp_binary64`
546×	`log1p-expm1-u_binary64`
546×	`expm1-log1p-u_binary64`
536×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1481	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 (/.f64 1/64 i) i)

Outputs

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

simplify196.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	11	84
2	20	84
3	35	84
4	75	84
5	224	84
6	834	84
7	2042	84
8	2208	84
9	2392	84
10	2600	84
11	2899	84
12	3292	84
13	3771	84
14	4337	84
15	5023	84
16	5856	84
17	6246	84
18	6538	84
19	6816	84
20	6890	84
21	6926	84

Stop Event

1×	node limit

Counts

47 → 37

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))

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))

localize25.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1/4 (*.f64 i i))
✓	15.0b	(/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) (/.f64 1/4 (.f64 i i)))) (-.f64 (.f64 (.f64 2 i) (.f64 2 i)) 1))
✓	31.6b	(.f64 (.f64 i i) (/.f64 1/4 (*.f64 i i)))

Compiler

Compiled 77 to 40 computations (48.1% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite114.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`log-prod_binary64`
457×	`prod-diff_binary64`
262×	`fma-def_binary64`
239×	`log1p-udef_binary64`
238×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	299	40
2	4240	40

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

691×	`cancel-sign-sub-inv_binary64`
657×	`fma-neg_binary64`
472×	`distribute-lft-out_binary64`
413×	`unswap-sqr_binary64`
410×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	282
1	92	279
2	215	279
3	645	279
4	3176	279

Stop Event

1×	node limit

Counts

154 → 136

Calls

Call 1

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

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

eval180.0ms (3.7%)

Compiler: Compiled 3636 to 2518 computations (30.7% saved)

prune49.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	173	5	178

Error

Counts

178 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.6b	(/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) (/.f64 1/4 (.f64 i i)))) (-.f64 (.f64 (.f64 2 i) (.f64 2 i)) 1))
✓	0.6b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
✓	31.1b	(.f64 i (.f64 i -1/4))
✓	33.2b	(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))
	32.8b	1/16

Compiler

Compiled 50 to 34 computations (32% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.6b	(/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) (/.f64 1/4 (.f64 i i)))) (-.f64 (.f64 (.f64 2 i) (.f64 2 i)) 1))
✓	0.6b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
✓	31.1b	(.f64 i (.f64 i -1/4))
✓	33.2b	(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))
	32.8b	1/16

Compiler

Compiled 50 to 34 computations (32% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.6b	(/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) (/.f64 1/4 (.f64 i i)))) (-.f64 (.f64 (.f64 2 i) (.f64 2 i)) 1))
✓	0.6b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
✓	31.1b	(.f64 i (.f64 i -1/4))
✓	33.2b	(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))
	32.8b	1/16

Compiler

Compiled 50 to 34 computations (32% saved)

regimes61.0ms (1.3%)

Counts

6 → 1

Calls

Call 1

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

Calls

3 calls:

11.0ms

8.0ms

(/.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))

7.0ms

(/.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))

Results

Error	Segments	Branch
0.6b	1	`i`
0.6b	1	`(/.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))`
0.6b	1	`(/.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 125 to 79 computations (36.8% saved)

regimes17.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

Inputs
1/16
(.f64 i (.f64 i -1/4))
(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))

Outputs
(.f64 i (.f64 i -1/4))
(+.f64 1/16 (/.f64 (/.f64 1/64 i) i))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.8b	2	`i`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch75.0ms (1.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
75.0ms	0.20547381437717605	5158.500809765172

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes22.0ms (0.5%)

Accuracy

Total -62.0b remaining (-6677.1%)

Threshold costs -62.0b (-6677.1%)

Counts

2 → 2

Calls

Call 1

Inputs
1/16
(.f64 i (.f64 i -1/4))

Outputs
(.f64 i (.f64 i -1/4))
1/16

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.9b	2	`i`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch100.0ms (2.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
100.0ms	0.20547381437717605	5158.500809765172

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	26	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(if (<=.f64 i 1850743587726889/9007199254740992) (.f64 i (.f64 i -1/4)) (+.f64 1/16 (/.f64 (/.f64 1/64 i) i)))
(if (<=.f64 i 1850743587726889/9007199254740992) (.f64 i (.f64 i -1/4)) 1/16)
1/16

Outputs
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(if (<=.f64 i 1850743587726889/9007199254740992) (.f64 i (.f64 i -1/4)) (+.f64 1/16 (/.f64 (/.f64 1/64 i) i)))
(if (<=.f64 i 1850743587726889/9007199254740992) (.f64 i (.f64 i -1/4)) 1/16)
1/16

Compiler

Compiled 40 to 30 computations (25% saved)

soundness182.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-/r*_binary64`
516×	`cancel-sign-sub-inv_binary64`
496×	`distribute-rgt-in_binary64`
478×	`distribute-lft-in_binary64`
434×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	40	26
2	200	17
3	1341	13
4	3774	13
5	6220	13

Stop Event

1×	node limit

Compiler

Compiled 627 to 388 computations (38.1% saved)

end57.0ms (1.2%)

Compiler: Compiled 37 to 27 computations (27% saved)

Details

analyze11.0ms (0.2%)

sample2.3s (47.8%)

preprocess111.0ms (2.3%)

simplify59.0ms (1.2%)

eval2.0ms (0%)

prune3.0ms (0.1%)

localize21.0ms (0.4%)

series8.0ms (0.2%)

rewrite178.0ms (3.7%)

simplify58.0ms (1.2%)

localize32.0ms (0.7%)

series50.0ms (1%)

rewrite173.0ms (3.5%)

simplify60.0ms (1.2%)

eval348.0ms (7.1%)

prune148.0ms (3%)

localize9.0ms (0.2%)

localize24.0ms (0.5%)

series2.0ms (0.1%)

rewrite97.0ms (2%)

simplify196.0ms (4%)

localize25.0ms (0.5%)

series3.0ms (0.1%)

rewrite114.0ms (2.4%)

simplify43.0ms (0.9%)

eval180.0ms (3.7%)

prune49.0ms (1%)

eval0.0ms (0%)

prune5.0ms (0.1%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes61.0ms (1.3%)

regimes17.0ms (0.3%)

bsearch75.0ms (1.6%)

regimes22.0ms (0.5%)

bsearch100.0ms (2.1%)

simplify9.0ms (0.2%)

soundness182.0ms (3.7%)

end57.0ms (1.2%)

Profiling