Details

analyze30.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
62.5%	31.2%	18.7%	50%	0%	0%	0%	4
81.3%	40.6%	9.4%	50%	0%	0%	0%	5
90.6%	45.3%	4.7%	50%	0%	0%	0%	6
95.3%	47.6%	2.3%	50%	0%	0%	0%	7
97.7%	48.8%	1.2%	50%	0%	0%	0%	8
98.8%	49.4%	0.6%	50%	0%	0%	0%	9
99.4%	49.7%	0.3%	50%	0%	0%	0%	10
99.7%	49.8%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0.1%	50%	0%	0%	0%	12

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.2s (44.4%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess74.0ms (2.8%)

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)

simplify37.0ms (1.4%)

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 → 6

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 (0.1%)

Compiler: Compiled 95 to 58 computations (38.9% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	3	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.4b	(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (+.f64 (.f64 4 (.f64 i i)) -1) (.f64 4 (.f64 i i))))
▶	0.2b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
▶	15.3b	(.f64 (/.f64 i (fma.f64 (.f64 i i) 4 -1)) (/.f64 i 4))

Status

Error

Program

▶

42.4b

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

▶

0.2b

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

▶

15.3b

(*.f64 (/.f64 i (fma.f64 (*.f64 i i) 4 -1)) (/.f64 i 4))

Compiler

Compiled 45 to 29 computations (35.6% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 i (fma.f64 (.f64 i i) 4 -1)) (/.f64 i 4))
✓	14.7b	(/.f64 i (fma.f64 (*.f64 i i) 4 -1))

Compiler

Compiled 36 to 20 computations (44.4% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`unpow-prod-down_binary64`
457×	`log-prod_binary64`
331×	`exp-prod_binary64`
297×	`pow-prod-down_binary64`
240×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	195	28
2	2531	28

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

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

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

simplify93.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-def_binary64`
751×	`unswap-sqr_binary64`
284×	`sqr-pow_binary64`
223×	`log-prod_binary64`
166×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	3064
1	1050	2962
2	3359	2926

Stop Event

1×	node limit

Counts

162 → 232

Calls

Call 1

Inputs
(*.f64 -1 i)
(+.f64 (.f64 -4 (pow.f64 i 3)) (.f64 -1 i))
(+.f64 (.f64 -4 (pow.f64 i 3)) (+.f64 (.f64 -1 i) (*.f64 -16 (pow.f64 i 5))))
(+.f64 (.f64 -4 (pow.f64 i 3)) (+.f64 (.f64 -64 (pow.f64 i 7)) (+.f64 (.f64 -1 i) (.f64 -16 (pow.f64 i 5)))))
(/.f64 1/4 i)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/4 (/.f64 1 i)))
(+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (+.f64 (.f64 1/4 (/.f64 1 i)) (*.f64 1/16 (/.f64 1 (pow.f64 i 3)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 7))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (+.f64 (.f64 1/4 (/.f64 1 i)) (.f64 1/16 (/.f64 1 (pow.f64 i 3))))))
(/.f64 1/4 i)
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1/16
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1/16
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(pow.f64 (sqrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1))) 2)
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(+.f64 0 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4)))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 i) 1/4) (/.f64 i (fma.f64 i (.f64 i 4) -1))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 i) 1/4) (/.f64 i (fma.f64 i (.f64 i 4) -1))))))
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(exp.f64 (.f64 (log.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (.f64 i 1/4))) 1))
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(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (.f64 i 1/4)))) 3))
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(exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))) 1) 1))

Outputs
(*.f64 -1 i)
(neg.f64 i)
(+.f64 (.f64 -4 (pow.f64 i 3)) (.f64 -1 i))
(fma.f64 -4 (pow.f64 i 3) (neg.f64 i))
(-.f64 (*.f64 -4 (pow.f64 i 3)) i)
(+.f64 (.f64 -4 (pow.f64 i 3)) (+.f64 (.f64 -1 i) (*.f64 -16 (pow.f64 i 5))))
(fma.f64 -4 (pow.f64 i 3) (fma.f64 -1 i (*.f64 -16 (pow.f64 i 5))))
(fma.f64 -4 (pow.f64 i 3) (-.f64 (*.f64 -16 (pow.f64 i 5)) i))
(fma.f64 -4 (pow.f64 i 3) (fma.f64 -16 (pow.f64 i 5) (neg.f64 i)))
(+.f64 (.f64 -4 (pow.f64 i 3)) (+.f64 (.f64 -64 (pow.f64 i 7)) (+.f64 (.f64 -1 i) (.f64 -16 (pow.f64 i 5)))))
(fma.f64 -4 (pow.f64 i 3) (fma.f64 -64 (pow.f64 i 7) (fma.f64 -1 i (*.f64 -16 (pow.f64 i 5)))))
(fma.f64 -4 (pow.f64 i 3) (fma.f64 -64 (pow.f64 i 7) (-.f64 (*.f64 -16 (pow.f64 i 5)) i)))
(fma.f64 -4 (pow.f64 i 3) (fma.f64 -16 (pow.f64 i 5) (fma.f64 -64 (pow.f64 i 7) (neg.f64 i))))
(/.f64 1/4 i)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/4 (/.f64 1 i)))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/4 i))
(+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (+.f64 (.f64 1/4 (/.f64 1 i)) (*.f64 1/16 (/.f64 1 (pow.f64 i 3)))))
(+.f64 (/.f64 1/64 (pow.f64 i 5)) (+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/4 i)))
(+.f64 (/.f64 1/4 i) (+.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 1/64 (/.f64 1 (pow.f64 i 5))) (+.f64 (.f64 1/4 (/.f64 1 i)) (.f64 1/16 (/.f64 1 (pow.f64 i 3))))))
(+.f64 (+.f64 (/.f64 1/64 (pow.f64 i 5)) (+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/4 i))) (/.f64 1/256 (pow.f64 i 7)))
(+.f64 (/.f64 1/64 (pow.f64 i 5)) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/4 i)) (/.f64 1/256 (pow.f64 i 7))))
(/.f64 1/4 i)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 i 3))) (.f64 1/4 (/.f64 1 i)))
(+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/4 i))
(+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 5))) (+.f64 (.f64 1/4 (/.f64 1 i)) (*.f64 1/16 (/.f64 1 (pow.f64 i 3)))))
(+.f64 (/.f64 1/64 (pow.f64 i 5)) (+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/4 i)))
(+.f64 (/.f64 1/4 i) (+.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 1/64 (/.f64 1 (pow.f64 i 5))) (+.f64 (.f64 1/4 (/.f64 1 i)) (.f64 1/16 (/.f64 1 (pow.f64 i 3))))))
(+.f64 (+.f64 (/.f64 1/64 (pow.f64 i 5)) (+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/4 i))) (/.f64 1/256 (pow.f64 i 7)))
(+.f64 (/.f64 1/64 (pow.f64 i 5)) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 i 3)) (/.f64 1/4 i)) (/.f64 1/256 (pow.f64 i 7))))
(*.f64 -1/4 (pow.f64 i 2))
(.f64 -1/4 (.f64 i i))
(.f64 i (.f64 i -1/4))
(/.f64 (*.f64 i i) -4)
(+.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 i (.f64 i -1/4)) (pow.f64 i 4))
(-.f64 (/.f64 (*.f64 i i) -4) (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 -4 (pow.f64 i 6) (.f64 i (.f64 i -1/4))) (pow.f64 i 4))
(-.f64 (fma.f64 -4 (pow.f64 i 6) (/.f64 (*.f64 i i) -4)) (pow.f64 i 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 -4 (pow.f64 i 6) (.f64 i (.f64 i -1/4))) (pow.f64 i 4)))
(-.f64 (fma.f64 -16 (pow.f64 i 8) (fma.f64 -4 (pow.f64 i 6) (/.f64 (*.f64 i i) -4))) (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 (.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 1/256 (/.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 1/16 (+.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (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 (.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 1/256 (/.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 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 0 (/.f64 i (fma.f64 i (*.f64 i 4) -1)))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1)))) 1)
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 i (/.f64 1 (fma.f64 i (.f64 i 4) -1)))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) 1)
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 1 (/.f64 i (fma.f64 i (.f64 i 4) -1)))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (pow.f64 (cbrt.f64 i) 2) (.f64 (cbrt.f64 i) (/.f64 1 (fma.f64 i (*.f64 i 4) -1))))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))) (cbrt.f64 (pow.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) 2)) (cbrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1))))
(.f64 (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))) (cbrt.f64 (pow.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1)) 2)))
(.f64 (sqrt.f64 i) (.f64 (sqrt.f64 i) (/.f64 1 (fma.f64 i (*.f64 i 4) -1))))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (sqrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))) (sqrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1))))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (neg.f64 i) (/.f64 1 (neg.f64 (fma.f64 i (.f64 i 4) -1))))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (neg.f64 i) (pow.f64 (/.f64 1 (neg.f64 (fma.f64 i (.f64 i 4) -1))) 1))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (/.f64 1 (fma.f64 i (.f64 i 4) -1)) i)
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (/.f64 1 (fma.f64 i (.f64 i 4) -1)) (pow.f64 (/.f64 1 i) -1))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) (/.f64 (cbrt.f64 i) (fma.f64 i (.f64 i 4) -1)))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) (fma.f64 i (.f64 i 4) -1)))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) -2) (/.f64 i (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2)) (cbrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)))) (pow.f64 (cbrt.f64 (fma.f64 i (*.f64 i 4) -1)) 2))
(.f64 (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (fma.f64 i (*.f64 i 4) -1)) 2)))
(.f64 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2)) (/.f64 (sqrt.f64 i) (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))))
(/.f64 (/.f64 i (cbrt.f64 (fma.f64 i (.f64 i 4) -1))) (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2))
(/.f64 (/.f64 i (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2)) (cbrt.f64 (fma.f64 i (.f64 i 4) -1)))
(.f64 (pow.f64 (fma.f64 i (.f64 i 4) -1) -1/2) (/.f64 i (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (fma.f64 i (.f64 i 4) -1))) (/.f64 (cbrt.f64 i) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))
(/.f64 (/.f64 i (sqrt.f64 (fma.f64 i (.f64 i 4) -1))) (sqrt.f64 (fma.f64 i (.f64 i 4) -1)))
(.f64 (pow.f64 1 1/3) (/.f64 i (fma.f64 i (.f64 i 4) -1)))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 i) (fma.f64 i (.f64 i 4) -1)) 1))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 i) 1) 1) (pow.f64 (/.f64 (sqrt.f64 i) (fma.f64 i (.f64 i 4) -1)) 1))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) -2) 1) (pow.f64 (/.f64 i (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))) 1))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) -2) (/.f64 i (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2)) 1) (cbrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)))) (pow.f64 (cbrt.f64 (fma.f64 i (*.f64 i 4) -1)) 2))
(.f64 (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (fma.f64 i (*.f64 i 4) -1)) 2)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 i) (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))) 1))
(.f64 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2)) (/.f64 (sqrt.f64 i) (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))))
(/.f64 (/.f64 i (cbrt.f64 (fma.f64 i (.f64 i 4) -1))) (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2))
(/.f64 (/.f64 i (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2)) (cbrt.f64 (fma.f64 i (.f64 i 4) -1)))
(.f64 (pow.f64 (pow.f64 (fma.f64 i (.f64 i 4) -1) -1/2) 1) (pow.f64 (/.f64 i (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) 1))
(.f64 (pow.f64 (fma.f64 i (.f64 i 4) -1) -1/2) (/.f64 i (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (fma.f64 i (.f64 i 4) -1))) 1) (pow.f64 (/.f64 (cbrt.f64 i) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (fma.f64 i (.f64 i 4) -1))) (/.f64 (cbrt.f64 i) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))
(/.f64 (/.f64 i (sqrt.f64 (fma.f64 i (.f64 i 4) -1))) (sqrt.f64 (fma.f64 i (.f64 i 4) -1)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 i (.f64 i 4) -1) i) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 i (*.f64 i 4) -1) i) -3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 i (.f64 i 4) -1) i) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 i (*.f64 i 4) -1) i) -3))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 i (.f64 i 4) -1) i) -3/2)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 i (*.f64 i 4) -1) i) -3/2)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) 2) i) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 i (.f64 i 4) -1))))
(.f64 (cbrt.f64 (.f64 i (pow.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) 2))) (cbrt.f64 (/.f64 1 (fma.f64 i (.f64 i 4) -1))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1)))))
(.f64 (pow.f64 (pow.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)))) 2) 3) (cbrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1))))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1)))) 3))
(/.f64 i (fma.f64 i (*.f64 i 4) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 i (.f64 i 4) -1) i)) 2) -1) (cbrt.f64 (/.f64 i (fma.f64 i (*.f64 i 4) -1))))
(.f64 (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 i (*.f64 i 4) -1) i)) 2)))
(/.f64 (cbrt.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 i (.f64 i 4) -1) i)) 2))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 i (*.f64 i 4) -1)) i) -1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2)) (/.f64 1 (/.f64 (cbrt.f64 (fma.f64 i (*.f64 i 4) -1)) i)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2)) (/.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) i))
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(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(/.f64 (.f64 i (neg.f64 i)) (.f64 (fma.f64 i (*.f64 i 4) -1) -4))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(/.f64 (.f64 i (neg.f64 i)) (.f64 4 (neg.f64 (fma.f64 i (*.f64 i 4) -1))))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(/.f64 (/.f64 (.f64 i (.f64 i 1/4)) 1) (fma.f64 i (*.f64 i 4) -1))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(/.f64 (/.f64 (.f64 i (.f64 i 1/4)) (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 4) -1)) 2)) (cbrt.f64 (fma.f64 i (.f64 i 4) -1)))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(/.f64 (/.f64 (.f64 i (.f64 i 1/4)) (sqrt.f64 (fma.f64 i (.f64 i 4) -1))) (sqrt.f64 (fma.f64 i (.f64 i 4) -1)))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(/.f64 (.f64 (neg.f64 i) (.f64 i 1/4)) (neg.f64 (fma.f64 i (*.f64 i 4) -1)))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(/.f64 (.f64 (neg.f64 i) (/.f64 i (fma.f64 i (.f64 i 4) -1))) -4)
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(/.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (neg.f64 i)) -4)
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(/.f64 (.f64 (.f64 i 1/4) (neg.f64 i)) (neg.f64 (fma.f64 i (*.f64 i 4) -1)))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(pow.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4)) 1)
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(pow.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 4) 1/2)
(sqrt.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 4))
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 4 (.f64 (.f64 i i) 4) -4))) 2)
(pow.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 6) 1/3)
(sqrt.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 4))
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 4 (.f64 (.f64 i i) 4) -4))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))) 3)
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 2)
(sqrt.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 4))
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 4 (.f64 (.f64 i i) 4) -4))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(pow.f64 (.f64 (/.f64 (fma.f64 i (.f64 i 4) -1) i) (/.f64 4 i)) -1)
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(pow.f64 (.f64 (/.f64 4 i) (/.f64 (fma.f64 i (.f64 i 4) -1) i)) -1)
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(pow.f64 (/.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)) (*.f64 i i)) -1)
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(pow.f64 (/.f64 (fma.f64 i (.f64 i 4) -1) (.f64 i (*.f64 i 1/4))) -1)
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(pow.f64 (/.f64 4 (/.f64 i (/.f64 (fma.f64 i (*.f64 i 4) -1) i))) -1)
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (.f64 i 1/4)))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (.f64 i 1/4)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i))))) 2)) (cbrt.f64 (log.f64 (.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 i (/.f64 i (fma.f64 4 (.f64 (.f64 i i) 4) -4))))) 2)) (cbrt.f64 (log.f64 (.f64 i (/.f64 i (fma.f64 4 (.f64 (.f64 i i) 4) -4))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (.f64 i 1/4))))) (sqrt.f64 (log.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (.f64 i 1/4)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))))) (sqrt.f64 (log.f64 (.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 i (/.f64 i (fma.f64 4 (.f64 (.f64 i i) 4) -4)))))) (sqrt.f64 (log.f64 (.f64 i (/.f64 i (fma.f64 4 (.f64 (.f64 i i) 4) -4))))))
(sqrt.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 4))
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 4 (.f64 (.f64 i i) 4) -4))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 i) 1/4) (/.f64 i (fma.f64 i (*.f64 i 4) -1))))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4)))))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(cbrt.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 6))
(sqrt.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 4))
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 4 (.f64 (.f64 i i) 4) -4))) 2)
(expm1.f64 (log1p.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(exp.f64 (log.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (.f64 i 1/4))) 1))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (*.f64 i 4) -1)))) 6)) 1/3))
(sqrt.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 4))
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 4 (.f64 (.f64 i i) 4) -4))) 2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (.f64 i 1/4)))) 3))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))
(exp.f64 (.f64 (log.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (*.f64 i 4) -1))))) 2))
(sqrt.f64 (pow.f64 (/.f64 i (sqrt.f64 (.f64 4 (fma.f64 i (.f64 i 4) -1)))) 4))
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 4 (.f64 (.f64 i i) 4) -4))) 2)
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))) 1) 1))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (*.f64 i 1/4))
(.f64 i (/.f64 1/4 (/.f64 (fma.f64 i (.f64 i 4) -1) i)))
(.f64 i (/.f64 i (fma.f64 4 (.f64 (*.f64 i i) 4) -4)))

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
✓	0.3b	(/.f64 -1 (*.f64 i i))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (3.3%)

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 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(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 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Outputs

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

simplify68.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

695×	`log-prod_binary64`
473×	`fma-def_binary64`
442×	`unswap-sqr_binary64`
269×	`fma-neg_binary64`
249×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	1632
1	728	1528
2	1972	1431
3	7095	1431

Stop Event

1×	node limit

Counts

123 → 172

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))))))
(+.f64 0 (neg.f64 (pow.f64 i -2)))
(+.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))))))
(+.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))))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 i -2)))) 1)
(*.f64 -1 (pow.f64 i -2))
(*.f64 (neg.f64 (pow.f64 i -2)) 1)
(*.f64 1 (neg.f64 (pow.f64 i -2)))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (pow.f64 i -4)))
(*.f64 (cbrt.f64 (pow.f64 i -4)) (cbrt.f64 (neg.f64 (pow.f64 i -2))))
(*.f64 (/.f64 (sqrt.f64 -1) i) (/.f64 (sqrt.f64 -1) i))
(*.f64 (pow.f64 i -2) -1)
(*.f64 (/.f64 -1 i) (/.f64 1 i))
(*.f64 (/.f64 -1 i) (pow.f64 (/.f64 1 i) 1))
(*.f64 (/.f64 1 i) (/.f64 -1 i))
(.f64 (/.f64 1 (.f64 (cbrt.f64 i) i)) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 i) 2)) -1))
(*.f64 (pow.f64 1 1/3) (neg.f64 (pow.f64 i -2)))
(*.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))
(*.f64 (pow.f64 -1 1/3) (pow.f64 i -2))
(*.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))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 i -2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 i (neg.f64 i))) 2) -1) (cbrt.f64 (neg.f64 (pow.f64 i -2))))
(.f64 (pow.f64 (neg.f64 (.f64 (cbrt.f64 i) i)) -1) (pow.f64 (pow.f64 (cbrt.f64 i) 2) -1))
(.f64 (pow.f64 (.f64 (pow.f64 i -4) -1) 1/3) (cbrt.f64 (pow.f64 i -2)))
(.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)))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 i -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 -1) i)))
(pow.f64 (neg.f64 (pow.f64 i -2)) 1)
(pow.f64 (pow.f64 i -4) 1/2)
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 -1) i) 2)
(pow.f64 (*.f64 i (neg.f64 i)) -1)
(pow.f64 (*.f64 -1 (pow.f64 i -6)) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (neg.f64 (pow.f64 i -2))))
(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)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (neg.f64 (pow.f64 i -2))))) (sqrt.f64 (log.f64 (neg.f64 (pow.f64 i -2)))))
(neg.f64 (pow.f64 i -2))
(sqrt.f64 (pow.f64 i -4))
(log.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 i -2)))))
(cbrt.f64 (*.f64 -1 (pow.f64 i -6)))
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 i -2))))
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 i -2))))
(exp.f64 (log.f64 (neg.f64 (pow.f64 i -2))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 -1) i)) 2))
(exp.f64 (.f64 (log.f64 (.f64 i (neg.f64 i))) -1))
(exp.f64 (.f64 (log.f64 (.f64 -1 (pow.f64 i -6))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 3) 1/3))
(exp.f64 (-.f64 (log.f64 (/.f64 -1 i)) (*.f64 (log.f64 i) 1)))
(+.f64 0 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))
(+.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))))))
(+.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))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 1)
(*.f64 1/4 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)))
(*.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 1)
(*.f64 1 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))
(*.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))
(*.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))))
(*.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))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (fma.f64 -1 (pow.f64 i -2) 4))))
(*.f64 -1/4 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 1))
(*.f64 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)) 1/4)
(.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))))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(*.f64 (pow.f64 1 1/3) (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))
(.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))))
(*.f64 (pow.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 1) (+.f64 4 (pow.f64 i -2)))
(*.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))
(.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))))
(.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)))))
(*.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)))))
(*.f64 (pow.f64 (cbrt.f64 1/4) 3) (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)))
(*.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))))
(*.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))
(.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))))
(pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 1)
(pow.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 3)
(pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 2)
(pow.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))
(pow.f64 (/.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4) 1) -1)
(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)))))
(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)))))
(sqrt.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)))
(log.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))
(cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))
(log1p.f64 (expm1.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))
(exp.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 1) 1))

Outputs
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (pow.f64 i 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.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 (.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))
(fma.f64 -4 (pow.f64 i 6) (.f64 (.f64 i i) (-.f64 -1/4 (*.f64 i i))))
(+.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 (.f64 i i) (-.f64 -1/4 (*.f64 i i)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(fma.f64 1/64 (pow.f64 i -2) 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 1/16 (/.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 1/16 (fma.f64 1/64 (pow.f64 i -2) (/.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 (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))) (/.f64 1/1024 (pow.f64 i 6)))
(+.f64 1/16 (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (fma.f64 1/64 (pow.f64 i -2) (/.f64 1/256 (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)))
(fma.f64 1/64 (pow.f64 i -2) 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 1/16 (/.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 1/16 (fma.f64 1/64 (pow.f64 i -2) (/.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 (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))) (/.f64 1/1024 (pow.f64 i 6)))
(+.f64 1/16 (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (fma.f64 1/64 (pow.f64 i -2) (/.f64 1/256 (pow.f64 i 4)))))
(+.f64 0 (neg.f64 (pow.f64 i -2)))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(+.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))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))) 3)
(+.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))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 i -2)))) 1)
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.f64 -1 (pow.f64 i -2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.f64 (neg.f64 (pow.f64 i -2)) 1)
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.f64 1 (neg.f64 (pow.f64 i -2)))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (pow.f64 i -4)))
(*.f64 (cbrt.f64 (pow.f64 i -4)) (cbrt.f64 (neg.f64 (pow.f64 i -2))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (pow.f64 i -4)))
(*.f64 (/.f64 (sqrt.f64 -1) i) (/.f64 (sqrt.f64 -1) i))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.f64 (pow.f64 i -2) -1)
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.f64 (/.f64 -1 i) (/.f64 1 i))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.f64 (/.f64 -1 i) (pow.f64 (/.f64 1 i) 1))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.f64 (/.f64 1 i) (/.f64 -1 i))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(.f64 (/.f64 1 (.f64 (cbrt.f64 i) i)) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 i) 2)) -1))
(.f64 (/.f64 1 (.f64 i (cbrt.f64 i))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 i) 2))))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 i) 2)) (*.f64 i (cbrt.f64 i)))
(/.f64 -1 (.f64 (.f64 i (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (pow.f64 1 1/3) (neg.f64 (pow.f64 i -2)))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.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))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.f64 (pow.f64 -1 1/3) (pow.f64 i -2))
(*.f64 (pow.f64 i -2) (cbrt.f64 -1))
(*.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))))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 i -2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 i (neg.f64 i))) 2) -1) (cbrt.f64 (neg.f64 (pow.f64 i -2))))
(.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 i (neg.f64 i))) 2)))
(.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (/.f64 1 (pow.f64 (cbrt.f64 (neg.f64 (.f64 i i))) 2)))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (pow.f64 (cbrt.f64 (*.f64 i (neg.f64 i))) 2))
(.f64 (pow.f64 (neg.f64 (.f64 (cbrt.f64 i) i)) -1) (pow.f64 (pow.f64 (cbrt.f64 i) 2) -1))
(.f64 (/.f64 1 (.f64 i (cbrt.f64 i))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 i) 2))))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 i) 2)) (*.f64 i (cbrt.f64 i)))
(/.f64 -1 (.f64 (.f64 i (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 i -4) -1) 1/3) (cbrt.f64 (pow.f64 i -2)))
(.f64 (cbrt.f64 (.f64 -1 (pow.f64 i -4))) (cbrt.f64 (pow.f64 i -2)))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 i -4))) (cbrt.f64 (pow.f64 i -2)))
(.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)))))
(.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) (cbrt.f64 (.f64 (pow.f64 i -4) (cbrt.f64 (pow.f64 i -4)))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 i -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 -1) i)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (pow.f64 i -2)) 5/2)) (cbrt.f64 (/.f64 (sqrt.f64 -1) i)))
(pow.f64 (neg.f64 (pow.f64 i -2)) 1)
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(pow.f64 (pow.f64 i -4) 1/2)
(sqrt.f64 (pow.f64 i -4))
(pow.f64 i -2)
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) 3)
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(pow.f64 (/.f64 (sqrt.f64 -1) i) 2)
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(pow.f64 (*.f64 i (neg.f64 i)) -1)
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(pow.f64 (*.f64 -1 (pow.f64 i -6)) 1/3)
(cbrt.f64 (neg.f64 (pow.f64 i -6)))
(pow.f64 (exp.f64 1) (log.f64 (neg.f64 (pow.f64 i -2))))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(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)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (neg.f64 (pow.f64 i -2))))) (sqrt.f64 (log.f64 (neg.f64 (pow.f64 i -2)))))
(neg.f64 (pow.f64 i -2))
(/.f64 -1 (*.f64 i i))
(sqrt.f64 (pow.f64 i -4))
(pow.f64 i -2)
(log.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 i -2)))))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(cbrt.f64 (*.f64 -1 (pow.f64 i -6)))
(cbrt.f64 (neg.f64 (pow.f64 i -6)))
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 i -2))))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 i -2))))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(exp.f64 (log.f64 (neg.f64 (pow.f64 i -2))))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 1))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) 3))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 -1) i)) 2))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(exp.f64 (.f64 (log.f64 (.f64 i (neg.f64 i))) -1))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(exp.f64 (.f64 (log.f64 (.f64 -1 (pow.f64 i -6))) 1/3))
(cbrt.f64 (neg.f64 (pow.f64 i -6)))
(exp.f64 (.f64 (.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 1) 1))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(exp.f64 (.f64 (.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 3) 1/3))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(exp.f64 (-.f64 (log.f64 (/.f64 -1 i)) (*.f64 (log.f64 i) 1)))
(/.f64 -1 (*.f64 i i))
(neg.f64 (pow.f64 i -2))
(+.f64 0 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(+.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))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))))))
(+.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))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 1)
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.f64 1/4 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 1)
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.f64 1 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.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))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.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))))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.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))))
(pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 2)
(pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)
(*.f64 -1/4 (/.f64 1 (neg.f64 (fma.f64 -1 (pow.f64 i -2) 4))))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.f64 -1/4 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 1))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.f64 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)) 1/4)
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(.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))))
(.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -6) 64)) (+.f64 (+.f64 (pow.f64 i -4) 16) (.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -6) 64)) (+.f64 (pow.f64 i -4) (+.f64 16 (.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (-.f64 (pow.f64 i -4) (fma.f64 -4 (pow.f64 i -2) -16)))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 (pow.f64 i -2) 1/4 1) (-.f64 16 (pow.f64 i -4)))
(*.f64 (pow.f64 1 1/3) (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(.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))))
(.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -6) 64)) (+.f64 (+.f64 (pow.f64 i -4) 16) (.f64 4 (pow.f64 i -2))))
(.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -6) 64)) (+.f64 (pow.f64 i -4) (+.f64 16 (.f64 4 (pow.f64 i -2)))))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16))
(*.f64 (/.f64 1/4 (-.f64 64 (pow.f64 i -6))) (-.f64 (pow.f64 i -4) (fma.f64 -4 (pow.f64 i -2) -16)))
(*.f64 (pow.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 1) (+.f64 4 (pow.f64 i -2)))
(*.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))
(/.f64 (fma.f64 (pow.f64 i -2) 1/4 1) (-.f64 16 (pow.f64 i -4)))
(*.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))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/64 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) 3)))) (cbrt.f64 (sqrt.f64 (/.f64 1/64 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) 3)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2))) 3/2)) (cbrt.f64 (pow.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2))) 3/2)))
(.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))))
(.f64 (cbrt.f64 (.f64 1/16 (*.f64 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2) 1/4))) (cbrt.f64 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4))))
(.f64 (cbrt.f64 (.f64 1/64 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2))) (cbrt.f64 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4))))
(.f64 (cbrt.f64 (.f64 1/64 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))) (cbrt.f64 (/.f64 1 (-.f64 4 (pow.f64 i -2)))))
(.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)))))
(.f64 (cbrt.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)) (cbrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2))))))
(*.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)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 5/2)) (cbrt.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2))) 5/2)) (cbrt.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2))))))
(*.f64 (pow.f64 (cbrt.f64 1/4) 3) (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.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))))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(*.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))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(.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))))
(.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 4 (fma.f64 -1 (pow.f64 i -2) 4))) 2)))
(/.f64 (.f64 1 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) (pow.f64 (cbrt.f64 (.f64 4 (fma.f64 -1 (pow.f64 i -2) 4))) 2))
(/.f64 (cbrt.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))) (pow.f64 (cbrt.f64 (+.f64 16 (/.f64 -4 (*.f64 i i)))) 2))
(pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 1)
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(pow.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)) 1/2)
(sqrt.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)))
(fabs.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2))))
(pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3) 1/3)
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 3)
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 2)
(pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)
(pow.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4) -1)
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(pow.f64 (/.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4) 1) -1)
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(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)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2))))))
(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)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))))) (sqrt.f64 (log.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2))))))
(sqrt.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)))
(fabs.f64 (/.f64 -1/4 (+.f64 -4 (pow.f64 i -2))))
(log.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(expm1.f64 (log1p.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(log1p.f64 (expm1.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(exp.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 1))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 1/3))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))) 2))
(pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 2)
(pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4)) -1))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 1) 1))
(/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))
(/.f64 -1/4 (+.f64 -4 (pow.f64 i -2)))

localize18.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 i (.f64 i (*.f64 i i)))
✓	0.1b	(.f64 i (.f64 i i))
✓	0.1b	(.f64 (+.f64 (.f64 4 (.f64 i i)) -1) (.f64 4 (*.f64 i i)))
✓	41.4b	(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (+.f64 (.f64 4 (.f64 i i)) -1) (.f64 4 (.f64 i i))))

Compiler

Compiled 65 to 27 computations (58.5% saved)

series20.0ms (0.8%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	i	@	0	(.f64 (+.f64 (.f64 4 (.f64 i i)) -1) (.f64 4 (*.f64 i i)))
1.0ms	i	@	inf	(.f64 (+.f64 (.f64 4 (.f64 i i)) -1) (.f64 4 (*.f64 i i)))
0.0ms	i	@	0	(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (+.f64 (.f64 4 (.f64 i i)) -1) (.f64 4 (.f64 i i))))
0.0ms	i	@	0	(.f64 i (.f64 i i))
0.0ms	i	@	0	(.f64 i (.f64 i (*.f64 i i)))

rewrite72.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`log-prod_binary64`
300×	`pow-unpow_binary64`
296×	`pow2_binary64`
270×	`prod-diff_binary64`
227×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	246	46
2	3488	42

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify78.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

577×	`div-sub_binary64`
414×	`log-prod_binary64`
350×	`times-frac_binary64`
275×	`exp-prod_binary64`
258×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	3124
1	1026	2850
2	5071	2848

Stop Event

1×	node limit

Counts

206 → 219

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 -4 (pow.f64 i 2))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(*.f64 16 (pow.f64 i 4))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(*.f64 16 (pow.f64 i 4))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(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)
(+.f64 0 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))) 1)
(.f64 i (/.f64 1 (/.f64 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)) (pow.f64 i 3))))
(.f64 i (.f64 (pow.f64 i 3) (/.f64 1 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(.f64 (.f64 i i) (.f64 (.f64 i i) (/.f64 1 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(.f64 (pow.f64 i 3) (.f64 i (/.f64 1 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(.f64 (pow.f64 i 4) (/.f64 1 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))))
(.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))) 1)
(.f64 1 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))) 2) (cbrt.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)))))
(.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) (.f64 (.f64 i (cbrt.f64 i)) (/.f64 1 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(.f64 (/.f64 (.f64 i i) (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (.f64 i 2))) (/.f64 (.f64 i i) (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (*.f64 i 2))))
(.f64 (neg.f64 (pow.f64 i 4)) (/.f64 1 (neg.f64 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)))))
(.f64 (/.f64 i (fma.f64 i (.f64 i 4) -1)) (/.f64 (/.f64 (pow.f64 i 3) 4) (*.f64 i i)))
(.f64 (/.f64 (/.f64 (pow.f64 i 3) 4) (.f64 i i)) (/.f64 i (fma.f64 i (*.f64 i 4) -1)))
(.f64 (/.f64 1 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))) (pow.f64 i 4))
(.f64 (/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i 4) -1)) (/.f64 1 (.f64 i (.f64 i 4))))
(.f64 (/.f64 i 1) (/.f64 (pow.f64 i 3) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))))
(.f64 (/.f64 (pow.f64 i 3) (fma.f64 i (.f64 i 4) -1)) (/.f64 i (.f64 i (.f64 i 4))))
(.f64 (/.f64 (.f64 i i) 1) (/.f64 (.f64 i i) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))))
(.f64 (/.f64 (.f64 i i) (fma.f64 i (.f64 i 4) -1)) (/.f64 (.f64 i i) (.f64 i (.f64 i 4))))
(.f64 (/.f64 (pow.f64 i 3) 1) (/.f64 i (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))))
(.f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) 1) (/.f64 (.f64 i (cbrt.f64 i)) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))))
(.f64 (/.f64 i (.f64 i (.f64 i 4))) (/.f64 (pow.f64 i 3) (fma.f64 i (.f64 i 4) -1)))
(.f64 (/.f64 (.f64 i i) (.f64 i (.f64 i 4))) (/.f64 (.f64 i i) (fma.f64 i (.f64 i 4) -1)))
(.f64 (/.f64 1 (.f64 i (.f64 i 4))) (/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i 4) -1)))
(.f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (cbrt.f64 i)) (fma.f64 i (.f64 i 4) -1)))
(.f64 (/.f64 1 (fma.f64 i (.f64 i 4) -1)) (/.f64 (pow.f64 i 4) (.f64 i (.f64 i 4))))
(.f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) (fma.f64 i (.f64 i 4) -1)) (/.f64 (.f64 i (cbrt.f64 i)) (.f64 i (.f64 i 4))))
(.f64 (/.f64 i (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))) (pow.f64 i 3))
(.f64 (/.f64 i (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 2)) (/.f64 (pow.f64 i 3) (cbrt.f64 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)))))
(.f64 (/.f64 (.f64 i i) (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 2)) (/.f64 (.f64 i i) (cbrt.f64 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)))))
(.f64 (/.f64 (pow.f64 i 3) (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 2)) (/.f64 i (cbrt.f64 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 2)) (/.f64 (pow.f64 i 4) (cbrt.f64 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)))))
(.f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 2)) (cbrt.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(.f64 (/.f64 i (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (.f64 i 2))) (/.f64 (pow.f64 i 3) (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (*.f64 i 2))))
(.f64 (/.f64 (pow.f64 i 3) (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (.f64 i 2))) (/.f64 i (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (*.f64 i 2))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (.f64 i 2))) (/.f64 (pow.f64 i 4) (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (*.f64 i 2))))
(.f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (.f64 i 2))) (/.f64 (.f64 i (cbrt.f64 i)) (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (*.f64 i 2))))
(.f64 (/.f64 i (.f64 4 (fma.f64 i (.f64 i 4) -1))) (/.f64 (pow.f64 i 3) (.f64 i i)))
(.f64 (/.f64 (.f64 i i) (.f64 4 (fma.f64 i (.f64 i 4) -1))) (/.f64 (.f64 i i) (.f64 i i)))
(.f64 (/.f64 (pow.f64 i 3) (.f64 4 (fma.f64 i (.f64 i 4) -1))) (/.f64 i (.f64 i i)))
(.f64 (/.f64 1 (.f64 4 (fma.f64 i (.f64 i 4) -1))) (/.f64 (pow.f64 i 4) (.f64 i i)))
(.f64 (/.f64 (pow.f64 (.f64 i (cbrt.f64 i)) 2) (.f64 4 (fma.f64 i (.f64 i 4) -1))) (/.f64 (.f64 i (cbrt.f64 i)) (.f64 i i)))
(pow.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))) 3)
(pow.f64 (/.f64 (.f64 i i) (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (.f64 i 2))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)) (pow.f64 i 4)) -1)
(pow.f64 (/.f64 (pow.f64 (pow.f64 i 4) 3) (pow.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)) (pow.f64 i 4)) 1) -1)
(neg.f64 (/.f64 (pow.f64 i 4) (neg.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 i 4) 3) (pow.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)))) 1))
(+.f64 (.f64 (pow.f64 i 4) 16) (.f64 (*.f64 i i) -4))
(+.f64 (.f64 (.f64 i i) -4) (*.f64 (pow.f64 i 4) 16))
(+.f64 0 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))) 1)
(/.f64 (.f64 (fma.f64 64 (pow.f64 i 6) -1) (.f64 i (.f64 i 4))) (-.f64 (fma.f64 (pow.f64 i 4) 16 1) (.f64 (*.f64 i i) -4)))
(/.f64 (.f64 (fma.f64 (pow.f64 i 4) 16 -1) (.f64 i (.f64 i 4))) (fma.f64 i (.f64 i 4) 1))
(/.f64 (.f64 (.f64 i (.f64 i 4)) (fma.f64 64 (pow.f64 i 6) -1)) (-.f64 (fma.f64 (pow.f64 i 4) 16 1) (.f64 (*.f64 i i) -4)))
(/.f64 (.f64 (.f64 i (.f64 i 4)) (fma.f64 (pow.f64 i 4) 16 -1)) (fma.f64 i (.f64 i 4) 1))
(pow.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)) 1)
(pow.f64 (pow.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))) 3)
(pow.f64 (.f64 (sqrt.f64 (fma.f64 i (.f64 i 4) -1)) (*.f64 i 2)) 2)
(pow.f64 (.f64 (.f64 64 (pow.f64 i 6)) (pow.f64 (fma.f64 i (*.f64 i 4) -1) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (fma.f64 i (.f64 i 4) -1) 3) (*.f64 64 (pow.f64 i 6))) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 i 4) 16)) (exp.f64 (.f64 (.f64 i i) -4))))
(log.f64 (.f64 (exp.f64 (.f64 (.f64 i i) -4)) (exp.f64 (.f64 (pow.f64 i 4) 16))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)) 3))
(cbrt.f64 (.f64 (.f64 64 (pow.f64 i 6)) (pow.f64 (fma.f64 i (*.f64 i 4) -1) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 i (.f64 i 4) -1) 3) (*.f64 64 (pow.f64 i 6))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))
(exp.f64 (log.f64 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))) 1))
(fma.f64 (.f64 i i) (.f64 4 (.f64 i (.f64 i 4))) (.f64 (.f64 i i) -4))
(fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))
(fma.f64 (pow.f64 i 4) 16 (.f64 (.f64 i i) -4))
(fma.f64 4 (.f64 (.f64 i i) (.f64 i (.f64 i 4))) (.f64 (.f64 i i) -4))
(fma.f64 4 (.f64 (.f64 i i) -1) (*.f64 (pow.f64 i 4) 16))
(fma.f64 (.f64 i (.f64 i 4)) (.f64 i (.f64 i 4)) (.f64 (.f64 i i) -4))
(fma.f64 (.f64 i (.f64 i 4)) -1 (*.f64 (pow.f64 i 4) 16))
(fma.f64 -1 (.f64 i (.f64 i 4)) (*.f64 (pow.f64 i 4) 16))
(fma.f64 1 (.f64 (pow.f64 i 4) 16) (.f64 (*.f64 i i) -4))
(fma.f64 1 (.f64 (.f64 i i) -4) (*.f64 (pow.f64 i 4) 16))
(fma.f64 16 (pow.f64 i 4) (.f64 (.f64 i i) -4))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 16)) (.f64 (pow.f64 (cbrt.f64 (.f64 i 2)) 2) (.f64 i (.f64 i 4))) (.f64 (*.f64 i i) -4))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 16)) (.f64 (pow.f64 (cbrt.f64 (.f64 i 2)) 2) -1) (.f64 (pow.f64 i 4) 16))
(fma.f64 (.f64 i 2) (.f64 (.f64 i 2) (.f64 i (.f64 i 4))) (.f64 (*.f64 i i) -4))
(fma.f64 (.f64 i 2) (.f64 (.f64 i 2) -1) (.f64 (pow.f64 i 4) 16))
(fma.f64 (.f64 i 4) (.f64 i (.f64 i (.f64 i 4))) (.f64 (.f64 i i) -4))
(fma.f64 (.f64 i 4) (.f64 i -1) (*.f64 (pow.f64 i 4) 16))
(fma.f64 (pow.f64 (.f64 i 4) 2) (.f64 i i) (.f64 (.f64 i i) -4))
(fma.f64 (pow.f64 (.f64 i 2) 3) (.f64 i 2) (.f64 (.f64 i i) -4))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 i 4) 16)) 2) (cbrt.f64 (.f64 (pow.f64 i 4) 16)) (.f64 (.f64 i i) -4))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 i i) -4)) 2) (cbrt.f64 (.f64 (.f64 i i) -4)) (*.f64 (pow.f64 i 4) 16))
(fma.f64 (sqrt.f64 (.f64 (.f64 i i) -4)) (sqrt.f64 (.f64 (.f64 i i) -4)) (*.f64 (pow.f64 i 4) 16))
(fma.f64 (.f64 (.f64 i (.f64 i 4)) (.f64 i i)) 4 (.f64 (.f64 i i) -4))
(fma.f64 (.f64 (.f64 i (.f64 i 4)) 4) (.f64 i i) (.f64 (.f64 i i) -4))
(fma.f64 (.f64 (.f64 i (.f64 i 4)) (cbrt.f64 (.f64 (pow.f64 i 4) 16))) (pow.f64 (cbrt.f64 (.f64 i 2)) 2) (.f64 (*.f64 i i) -4))
(fma.f64 (.f64 (.f64 i (.f64 i 4)) (.f64 i 4)) i (.f64 (.f64 i i) -4))
(+.f64 0 (pow.f64 i 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 i 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 i 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 i 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 i 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 i 3))) 1)
(pow.f64 i 3)
(pow.f64 (pow.f64 i 3) 1)
(pow.f64 (pow.f64 i 6) 1/2)
(pow.f64 (pow.f64 (pow.f64 i 3) 3) 1/3)
(pow.f64 (pow.f64 i 3/2) 2)
(sqrt.f64 (pow.f64 i 6))
(log.f64 (exp.f64 (pow.f64 i 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 i 3))))
(cbrt.f64 (pow.f64 (pow.f64 i 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 i 3)))
(log1p.f64 (expm1.f64 (pow.f64 i 3)))
(exp.f64 (log.f64 (pow.f64 i 3)))
(exp.f64 (*.f64 (log.f64 i) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 i 3)) 1))
(+.f64 0 (pow.f64 i 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 i 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 i 4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 i 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 i 4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 i 4))) 1)
(pow.f64 i 4)
(pow.f64 (*.f64 i i) 2)
(pow.f64 (pow.f64 i 4) 1)
(pow.f64 (pow.f64 (pow.f64 i 4) 2) 1/2)
(pow.f64 (pow.f64 (pow.f64 i 4) 3) 1/3)
(pow.f64 (*.f64 i (cbrt.f64 i)) 3)
(pow.f64 (*.f64 (pow.f64 i 3) (pow.f64 (pow.f64 i 3) 3)) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 i 4) 2))
(log.f64 (exp.f64 (pow.f64 i 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 i 4))))
(cbrt.f64 (pow.f64 (pow.f64 i 4) 3))
(cbrt.f64 (*.f64 (pow.f64 i 3) (pow.f64 (pow.f64 i 3) 3)))
(expm1.f64 (log1p.f64 (pow.f64 i 4)))
(log1p.f64 (expm1.f64 (pow.f64 i 4)))
(exp.f64 (*.f64 4 (log.f64 i)))
(exp.f64 (.f64 (.f64 4 (log.f64 i)) 1))

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)))
(-.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 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i))) (pow.f64 i 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 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i))) (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 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) 1/16) (/.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 1/256 (/.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 1/16 (+.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (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 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) 1/16) (/.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 1/256 (/.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 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 -4 (pow.f64 i 2))
(.f64 i (.f64 i -4))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4)))
(fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4)))
(fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4)))
(fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16))
(*.f64 16 (pow.f64 i 4))
(*.f64 (pow.f64 i 4) 16)
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4)))
(fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4)))
(fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4)))
(fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16))
(*.f64 16 (pow.f64 i 4))
(*.f64 (pow.f64 i 4) 16)
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4)))
(fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4)))
(fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16))
(+.f64 (.f64 16 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 2)))
(fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4)))
(fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16))
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(pow.f64 i 3)
(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)
(+.f64 0 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))
(/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4))))
(/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (*.f64 i -4))))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (*.f64 (pow.f64 i 4) 16)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (*.f64 i -4))))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (*.f64 (pow.f64 i 4) 16)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16))))) 1)
(/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4))))
(/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16)))
(.f64 i (/.f64 1 (/.f64 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)) (pow.f64 i 3))))
(/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4))))
(/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16)))
(.f64 i (.f64 (pow.f64 i 3) (/.f64 1 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4))))
(/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16)))
(.f64 (.f64 i i) (.f64 (.f64 i i) (/.f64 1 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4))))
(/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16)))
(.f64 (pow.f64 i 3) (.f64 i (/.f64 1 (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))))
(/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4))))
(/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16)))
(.f64 (pow.f64 i 4) (/.f64 1 (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))))
(/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4))))
(/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16)))
(.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))) 1)
(/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4))))
(/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16)))
(.f64 1 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16))))
(/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 i 4) 16 (.f64 i (.f64 i -4))))
(/.f64 (pow.f64 i 4) (fma.f64 i (.f64 i -4) (.f64 (pow.f64 i 4) 16)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (.f64 (pow.f64 i 4) 16)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 i 4) (fma.f64 (.f64 i i) -4 (*.f64 (pow.f64 i 4) 16)))) 2))
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eval263.0ms (9.9%)

Compiler: Compiled 11650 to 8207 computations (29.6% saved)

prune103.0ms (3.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	619	4	623
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	621	5	626

Error

Counts

626 → 5

Alt Table

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Status	Error	Program
▶	15.8b	(/.f64 (.f64 i i) (+.f64 (.f64 16 (*.f64 i i)) -4))
▶	35.2b	(/.f64 (*.f64 i i) -4)
✓	0.2b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
▶	29.2b	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
	28.9b	1/16

Compiler

Compiled 38 to 27 computations (28.9% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	i	@	inf	(/.f64 1/64 (*.f64 i i))
0.0ms	i	@	0	(/.f64 1/64 (*.f64 i i))
0.0ms	i	@	-inf	(/.f64 1/64 (*.f64 i i))

rewrite36.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`pow1_binary64`
485×	`add-sqr-sqrt_binary64`
469×	`add-log-exp_binary64`
469×	`log1p-expm1-u_binary64`
469×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	110	7
2	1325	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/64 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/64 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (cbrt.f64 (pow.f64 i -2))) (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))) (*.f64 1/4 (cbrt.f64 (pow.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 -1/64 (/.f64 1 (*.f64 i (neg.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i -2) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/64 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/64 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (cbrt.f64 (pow.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 (*.f64 i i) 64) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4096 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/64 (pow.f64 i -2))))))))

simplify32.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

657×	`associate-/l*_binary64`
578×	`log-prod_binary64`
445×	`distribute-rgt-in_binary64`
426×	`distribute-lft-in_binary64`
296×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	259
1	145	259
2	397	259
3	2284	259

Stop Event

1×	node limit

Counts

33 → 26

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 (+.f64 1 (*.f64 1/64 (pow.f64 i -2))) 1)
(*.f64 1/64 (pow.f64 i -2))
(.f64 (.f64 1/64 (pow.f64 i -2)) 1)
(.f64 1 (.f64 1/64 (pow.f64 i -2)))
(.f64 (.f64 1/4 (cbrt.f64 (pow.f64 i -2))) (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))))
(.f64 (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))) (.f64 1/4 (cbrt.f64 (pow.f64 i -2))))
(*.f64 (/.f64 1/8 i) (/.f64 1/8 i))
(.f64 -1/64 (/.f64 1 (.f64 i (neg.f64 i))))
(*.f64 (pow.f64 i -2) 1/64)
(*.f64 (/.f64 1/64 i) (/.f64 1 i))
(pow.f64 (*.f64 1/64 (pow.f64 i -2)) 1)
(pow.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3) 1/3)
(pow.f64 (*.f64 1/4 (cbrt.f64 (pow.f64 i -2))) 3)
(pow.f64 (/.f64 1/8 i) 2)
(pow.f64 (.f64 (.f64 i i) 64) -1)
(sqrt.f64 (/.f64 1/4096 (pow.f64 i 4)))
(log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 i -2)))
(cbrt.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/64 (pow.f64 i -2))))
(log1p.f64 (expm1.f64 (*.f64 1/64 (pow.f64 i -2))))
(exp.f64 (log.f64 (*.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 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (pow.f64 i 2))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(-.f64 (+.f64 1 (*.f64 1/64 (pow.f64 i -2))) 1)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(*.f64 1/64 (pow.f64 i -2))
(/.f64 1/64 (*.f64 i i))
(.f64 (.f64 1/64 (pow.f64 i -2)) 1)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(.f64 1 (.f64 1/64 (pow.f64 i -2)))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(.f64 (.f64 1/4 (cbrt.f64 (pow.f64 i -2))) (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))))
(.f64 (.f64 1/4 (cbrt.f64 (pow.f64 i -2))) (cbrt.f64 (*.f64 1/4096 (pow.f64 i -4))))
(.f64 1/4 (.f64 (cbrt.f64 (pow.f64 i -2)) (cbrt.f64 (*.f64 1/4096 (pow.f64 i -4)))))
(.f64 (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))) (.f64 1/4 (cbrt.f64 (pow.f64 i -2))))
(.f64 (.f64 1/4 (cbrt.f64 (pow.f64 i -2))) (cbrt.f64 (/.f64 1/4096 (pow.f64 i 4))))
(.f64 (.f64 1/4 (cbrt.f64 (pow.f64 i -2))) (cbrt.f64 (*.f64 1/4096 (pow.f64 i -4))))
(.f64 1/4 (.f64 (cbrt.f64 (pow.f64 i -2)) (cbrt.f64 (*.f64 1/4096 (pow.f64 i -4)))))
(*.f64 (/.f64 1/8 i) (/.f64 1/8 i))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(.f64 -1/64 (/.f64 1 (.f64 i (neg.f64 i))))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(*.f64 (pow.f64 i -2) 1/64)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(*.f64 (/.f64 1/64 i) (/.f64 1 i))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(pow.f64 (*.f64 1/64 (pow.f64 i -2)) 1)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(pow.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3) 1/3)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(pow.f64 (*.f64 1/4 (cbrt.f64 (pow.f64 i -2))) 3)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(pow.f64 (/.f64 1/8 i) 2)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(pow.f64 (.f64 (.f64 i i) 64) -1)
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(sqrt.f64 (/.f64 1/4096 (pow.f64 i 4)))
(sqrt.f64 (*.f64 1/4096 (pow.f64 i -4)))
(log.f64 (pow.f64 (exp.f64 1/64) (pow.f64 i -2)))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(cbrt.f64 (pow.f64 (*.f64 1/64 (pow.f64 i -2)) 3))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(expm1.f64 (log1p.f64 (*.f64 1/64 (pow.f64 i -2))))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(log1p.f64 (expm1.f64 (*.f64 1/64 (pow.f64 i -2))))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))
(exp.f64 (log.f64 (*.f64 1/64 (pow.f64 i -2))))
(/.f64 1/64 (*.f64 i i))
(*.f64 1/64 (pow.f64 i -2))

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 16 (.f64 i i))
✓	15.3b	(/.f64 (.f64 i i) (+.f64 (.f64 16 (*.f64 i i)) -4))

Compiler

Compiled 30 to 15 computations (50% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	i	@	inf	(.f64 16 (.f64 i i))
0.0ms	i	@	0	(/.f64 (.f64 i i) (+.f64 (.f64 16 (*.f64 i i)) -4))
0.0ms	i	@	inf	(/.f64 (.f64 i i) (+.f64 (.f64 16 (*.f64 i i)) -4))
0.0ms	i	@	0	(.f64 16 (.f64 i i))
0.0ms	i	@	-inf	(/.f64 (.f64 i i) (+.f64 (.f64 16 (*.f64 i i)) -4))

rewrite52.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary64`
897×	`add-log-exp_binary64`
897×	`log1p-expm1-u_binary64`
897×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	183	21
2	2411	21

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (2%)

Algorithm

1×	egg-herbie

Rules

761×	`log-prod_binary64`
563×	`log-div_binary64`
446×	`unswap-sqr_binary64`
398×	`associate-/l*_binary64`
342×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1043
1	414	1028
2	1414	1021
3	6795	1021

Stop Event

1×	node limit

Counts

72 → 92

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 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(*.f64 16 (pow.f64 i 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i))) 1)
(.f64 i (/.f64 1 (/.f64 (fma.f64 (.f64 i i) 16 -4) i)))
(.f64 i (.f64 i (/.f64 1 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 (.f64 i i) (/.f64 1 (fma.f64 (*.f64 i i) 16 -4)))
(.f64 (.f64 (/.f64 i (fma.f64 (*.f64 i i) 16 -4)) i) 1)
(.f64 1 (.f64 (/.f64 i (fma.f64 (*.f64 i i) 16 -4)) i))
(.f64 (cbrt.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)) (cbrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 (.f64 i i) 16 -4) 2))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 (.f64 i i) 16 -4) 2))) (cbrt.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(.f64 (cbrt.f64 (pow.f64 i 4)) (.f64 (pow.f64 (cbrt.f64 i) 2) (/.f64 1 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 (/.f64 i (sqrt.f64 (fma.f64 (.f64 i i) 16 -4))) (/.f64 i (sqrt.f64 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 (.f64 i (neg.f64 i)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 (/.f64 1 (fma.f64 (.f64 i i) 16 -4)) (*.f64 i i))
(.f64 (/.f64 i 1) (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)
(.f64 (/.f64 (cbrt.f64 (pow.f64 i 4)) 1) (/.f64 (pow.f64 (cbrt.f64 i) 2) (fma.f64 (.f64 i i) 16 -4)))
(.f64 (/.f64 i (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 16 -4)) 2)) (/.f64 i (cbrt.f64 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 16 -4)) 2)) (/.f64 (.f64 i i) (cbrt.f64 (fma.f64 (.f64 i i) 16 -4))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 i 4)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 16 -4)) 2)) (cbrt.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 i i) 16 -4))) (/.f64 (.f64 i i) (sqrt.f64 (fma.f64 (.f64 i i) 16 -4))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 i 4)) (sqrt.f64 (fma.f64 (.f64 i i) 16 -4))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 (/.f64 (.f64 i i) (+.f64 -64 (pow.f64 (.f64 i (.f64 i 16)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 i 4) 256) 16) (.f64 (*.f64 i i) -64)))
(.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (pow.f64 i 4) 256) -16)) (fma.f64 (.f64 i i) 16 4))
(pow.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)) 3)
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 (*.f64 i i) 16 -4))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 i i) 16 -4) (.f64 i i)) -1)
(neg.f64 (/.f64 (.f64 i i) (neg.f64 (fma.f64 (.f64 i i) 16 -4))))
(sqrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 (*.f64 i i) 16 -4) 2)))
(log.f64 (exp.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 i i) 3) (pow.f64 (fma.f64 (.f64 i i) 16 -4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(exp.f64 (log.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(-.f64 (exp.f64 (log1p.f64 (.f64 i (.f64 i 16)))) 1)
(pow.f64 (.f64 i (.f64 i 16)) 1)
(pow.f64 (cbrt.f64 (.f64 i (.f64 i 16))) 3)
(pow.f64 (*.f64 i 4) 2)
(pow.f64 (pow.f64 (.f64 i (.f64 i 16)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 i 4) 256))
(log.f64 (pow.f64 (pow.f64 (exp.f64 i) i) 16))
(log.f64 (+.f64 1 (expm1.f64 (.f64 i (.f64 i 16)))))
(cbrt.f64 (pow.f64 (.f64 i (.f64 i 16)) 3))
(expm1.f64 (log1p.f64 (.f64 i (.f64 i 16))))
(log1p.f64 (expm1.f64 (.f64 i (.f64 i 16))))
(exp.f64 (log.f64 (.f64 i (.f64 i 16))))

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)))
(-.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 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i))) (pow.f64 i 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 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i))) (pow.f64 i 4)))
(-.f64 (fma.f64 -16 (pow.f64 i 8) (fma.f64 -4 (pow.f64 i 6) (.f64 -1/4 (.f64 i i)))) (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 (.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 1/256 (/.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)))))
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 1/256 (/.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 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(*.f64 16 (pow.f64 i 2))
(.f64 16 (.f64 i i))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i))) 1)
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 i (/.f64 1 (/.f64 (fma.f64 (.f64 i i) 16 -4) i)))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 i (.f64 i (/.f64 1 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 (.f64 i i) (/.f64 1 (fma.f64 (*.f64 i i) 16 -4)))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 (.f64 (/.f64 i (fma.f64 (*.f64 i i) 16 -4)) i) 1)
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 1 (.f64 (/.f64 i (fma.f64 (*.f64 i i) 16 -4)) i))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 (cbrt.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)) (cbrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 (.f64 i i) 16 -4) 2))))
(.f64 (cbrt.f64 (.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))) (cbrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 (.f64 i i) 16 -4) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))) (cbrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 i (.f64 i 16) -4) 2))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 (.f64 i i) 16 -4) 2))) (cbrt.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(.f64 (cbrt.f64 (.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))) (cbrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 (.f64 i i) 16 -4) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))) (cbrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 i (.f64 i 16) -4) 2))))
(.f64 (cbrt.f64 (pow.f64 i 4)) (.f64 (pow.f64 (cbrt.f64 i) 2) (/.f64 1 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 (cbrt.f64 (pow.f64 i 4)) (.f64 (/.f64 1 (fma.f64 (*.f64 i i) 16 -4)) (pow.f64 (cbrt.f64 i) 2)))
(.f64 (cbrt.f64 (pow.f64 i 4)) (/.f64 (pow.f64 (cbrt.f64 i) 2) (fma.f64 i (.f64 i 16) -4)))
(/.f64 (cbrt.f64 (pow.f64 i 4)) (/.f64 (fma.f64 i (*.f64 i 16) -4) (pow.f64 (cbrt.f64 i) 2)))
(.f64 (/.f64 i (sqrt.f64 (fma.f64 (.f64 i i) 16 -4))) (/.f64 i (sqrt.f64 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 (.f64 i (neg.f64 i)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 (/.f64 1 (fma.f64 (.f64 i i) 16 -4)) (*.f64 i i))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 (/.f64 i 1) (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 (/.f64 (cbrt.f64 (pow.f64 i 4)) 1) (/.f64 (pow.f64 (cbrt.f64 i) 2) (fma.f64 (.f64 i i) 16 -4)))
(.f64 (cbrt.f64 (pow.f64 i 4)) (.f64 (/.f64 1 (fma.f64 (*.f64 i i) 16 -4)) (pow.f64 (cbrt.f64 i) 2)))
(.f64 (cbrt.f64 (pow.f64 i 4)) (/.f64 (pow.f64 (cbrt.f64 i) 2) (fma.f64 i (.f64 i 16) -4)))
(/.f64 (cbrt.f64 (pow.f64 i 4)) (/.f64 (fma.f64 i (*.f64 i 16) -4) (pow.f64 (cbrt.f64 i) 2)))
(.f64 (/.f64 i (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 16 -4)) 2)) (/.f64 i (cbrt.f64 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 (/.f64 i (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 16) -4)) 2)) (/.f64 i (cbrt.f64 (fma.f64 i (*.f64 i 16) -4))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 16 -4)) 2)) (/.f64 (.f64 i i) (cbrt.f64 (fma.f64 (.f64 i i) 16 -4))))
(.f64 (/.f64 i (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 16 -4)) 2)) (/.f64 i (cbrt.f64 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 (/.f64 i (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 16) -4)) 2)) (/.f64 i (cbrt.f64 (fma.f64 i (*.f64 i 16) -4))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 i 4)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 16 -4)) 2)) (cbrt.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(.f64 (cbrt.f64 (.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))) (/.f64 (cbrt.f64 (pow.f64 i 4)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 i i) 16 -4)) 2)))
(/.f64 (cbrt.f64 (pow.f64 i 4)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 16) -4)) 2) (cbrt.f64 (/.f64 (.f64 i i) (fma.f64 i (*.f64 i 16) -4)))))
(.f64 (cbrt.f64 (/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))) (/.f64 (cbrt.f64 (pow.f64 i 4)) (pow.f64 (cbrt.f64 (fma.f64 i (.f64 i 16) -4)) 2)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 i i) 16 -4))) (/.f64 (.f64 i i) (sqrt.f64 (fma.f64 (.f64 i i) 16 -4))))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(.f64 (/.f64 (cbrt.f64 (pow.f64 i 4)) (sqrt.f64 (fma.f64 (.f64 i i) 16 -4))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (fma.f64 (*.f64 i i) 16 -4))))
(.f64 (cbrt.f64 (pow.f64 i 4)) (.f64 (/.f64 1 (fma.f64 (*.f64 i i) 16 -4)) (pow.f64 (cbrt.f64 i) 2)))
(.f64 (cbrt.f64 (pow.f64 i 4)) (/.f64 (pow.f64 (cbrt.f64 i) 2) (fma.f64 i (.f64 i 16) -4)))
(/.f64 (cbrt.f64 (pow.f64 i 4)) (/.f64 (fma.f64 i (*.f64 i 16) -4) (pow.f64 (cbrt.f64 i) 2)))
(.f64 (/.f64 (.f64 i i) (+.f64 -64 (pow.f64 (.f64 i (.f64 i 16)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 i 4) 256) 16) (.f64 (*.f64 i i) -64)))
(.f64 (/.f64 (.f64 i i) (+.f64 -64 (pow.f64 (.f64 16 (.f64 i i)) 3))) (-.f64 (fma.f64 (pow.f64 i 4) 256 16) (.f64 i (.f64 i -64))))
(/.f64 (.f64 i i) (/.f64 (+.f64 -64 (.f64 (pow.f64 i 6) 4096)) (+.f64 (fma.f64 (pow.f64 i 4) 256 16) (.f64 (.f64 i i) 64))))
(.f64 (/.f64 (.f64 i (fma.f64 i (*.f64 i 64) (fma.f64 (pow.f64 i 4) 256 16))) (fma.f64 (pow.f64 i 6) 4096 -64)) i)
(.f64 (/.f64 (.f64 i i) (+.f64 (.f64 (pow.f64 i 4) 256) -16)) (fma.f64 (.f64 i i) 16 4))
(.f64 (/.f64 (.f64 i i) (fma.f64 (pow.f64 i 4) 256 -16)) (fma.f64 (*.f64 i i) 16 4))
(.f64 (.f64 (/.f64 i (fma.f64 (pow.f64 i 4) 256 -16)) i) (fma.f64 i (*.f64 i 16) 4))
(.f64 (.f64 i (/.f64 i (fma.f64 (pow.f64 i 4) 256 -16))) (fma.f64 i (*.f64 i 16) 4))
(pow.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i) 1)
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(pow.f64 (pow.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i) 3) 1/3)
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(pow.f64 (cbrt.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)) 3)
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 (*.f64 i i) 16 -4))) 2)
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(pow.f64 (/.f64 (fma.f64 (.f64 i i) 16 -4) (.f64 i i)) -1)
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(neg.f64 (/.f64 (.f64 i i) (neg.f64 (fma.f64 (.f64 i i) 16 -4))))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(sqrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 (*.f64 i i) 16 -4) 2)))
(sqrt.f64 (/.f64 (pow.f64 i 4) (pow.f64 (fma.f64 i (*.f64 i 16) -4) 2)))
(fabs.f64 (/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4)))
(log.f64 (exp.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i))))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(cbrt.f64 (pow.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i) 3))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(cbrt.f64 (/.f64 (pow.f64 (.f64 i i) 3) (pow.f64 (fma.f64 (.f64 i i) 16 -4) 3)))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(expm1.f64 (log1p.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(log1p.f64 (expm1.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(exp.f64 (log.f64 (.f64 (/.f64 i (fma.f64 (.f64 i i) 16 -4)) i)))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) 16 -4)))
(/.f64 (.f64 i i) (fma.f64 i (.f64 i 16) -4))
(-.f64 (exp.f64 (log1p.f64 (.f64 i (.f64 i 16)))) 1)
(.f64 16 (.f64 i i))
(pow.f64 (.f64 i (.f64 i 16)) 1)
(.f64 16 (.f64 i i))
(pow.f64 (cbrt.f64 (.f64 i (.f64 i 16))) 3)
(.f64 16 (.f64 i i))
(pow.f64 (*.f64 i 4) 2)
(.f64 16 (.f64 i i))
(pow.f64 (pow.f64 (.f64 i (.f64 i 16)) 3) 1/3)
(.f64 16 (.f64 i i))
(sqrt.f64 (*.f64 (pow.f64 i 4) 256))
(fabs.f64 (.f64 16 (.f64 i i)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 i) i) 16))
(.f64 16 (.f64 i i))
(log.f64 (+.f64 1 (expm1.f64 (.f64 i (.f64 i 16)))))
(.f64 16 (.f64 i i))
(cbrt.f64 (pow.f64 (.f64 i (.f64 i 16)) 3))
(.f64 16 (.f64 i i))
(expm1.f64 (log1p.f64 (.f64 i (.f64 i 16))))
(.f64 16 (.f64 i i))
(log1p.f64 (expm1.f64 (.f64 i (.f64 i 16))))
(.f64 16 (.f64 i i))
(exp.f64 (log.f64 (.f64 i (.f64 i 16))))
(.f64 16 (.f64 i i))

eval37.0ms (1.4%)

Compiler: Compiled 1689 to 1154 computations (31.7% saved)

prune18.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	118	5	123

Error

Counts

123 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.8b	(/.f64 (.f64 i i) (+.f64 (.f64 16 (*.f64 i i)) -4))
✓	35.2b	(/.f64 (*.f64 i i) -4)
✓	0.2b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
✓	29.2b	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
	28.9b	1/16

Compiler

Compiled 38 to 27 computations (28.9% saved)

eval0.0ms (0%)

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

prune2.0ms (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
✓	15.8b	(/.f64 (.f64 i i) (+.f64 (.f64 16 (*.f64 i i)) -4))
✓	35.2b	(/.f64 (*.f64 i i) -4)
✓	0.2b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
✓	29.2b	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
	28.9b	1/16

Compiler

Compiled 38 to 27 computations (28.9% saved)

eval0.0ms (0%)

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

prune2.0ms (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
✓	15.8b	(/.f64 (.f64 i i) (+.f64 (.f64 16 (*.f64 i i)) -4))
✓	35.2b	(/.f64 (*.f64 i i) -4)
✓	0.2b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
✓	29.2b	(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
	28.9b	1/16

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes15.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms

4.0ms

(/.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))

3.0ms

(/.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
0.2b	1	`i`
0.2b	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))`
0.2b	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 146 to 87 computations (40.4% saved)

regimes8.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
1.0b	2	`i`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch16.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.1028878053841175	2.3002836693981683

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 142 to 104 computations (26.8% saved)

regimes7.0ms (0.3%)

Accuracy

Total -61.9b remaining (-5386.4%)

Threshold costs -61.9b (-5386.4%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
1.1b	2	`i`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch15.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.1028878053841175	2.3002836693981683

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 100 to 76 computations (24% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	22	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
(if (<=.f64 i 1/2) (/.f64 (.f64 i i) -4) (+.f64 1/16 (/.f64 1/64 (.f64 i i))))
(if (<=.f64 i 1/2) (/.f64 (*.f64 i i) -4) 1/16)
1/16

Compiler

Compiled 40 to 29 computations (27.5% saved)

soundness81.0ms (3%)

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)

end28.0ms (1.1%)

Compiler: Compiled 37 to 24 computations (35.1% saved)

Details

analyze30.0ms (1.1%)

sample1.2s (44.4%)

preprocess74.0ms (2.8%)

simplify37.0ms (1.4%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize13.0ms (0.5%)

series3.0ms (0.1%)

rewrite79.0ms (3%)

simplify93.0ms (3.5%)

localize9.0ms (0.3%)

series2.0ms (0.1%)

rewrite88.0ms (3.3%)

simplify68.0ms (2.6%)

localize18.0ms (0.7%)

series20.0ms (0.8%)

rewrite72.0ms (2.7%)

simplify78.0ms (2.9%)

eval263.0ms (9.9%)

prune103.0ms (3.8%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite36.0ms (1.3%)

simplify32.0ms (1.2%)

localize4.0ms (0.1%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

rewrite52.0ms (2%)

simplify54.0ms (2%)

eval37.0ms (1.4%)

prune18.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes15.0ms (0.5%)

regimes8.0ms (0.3%)

bsearch16.0ms (0.6%)

regimes7.0ms (0.3%)

bsearch15.0ms (0.6%)

simplify3.0ms (0.1%)

soundness81.0ms (3%)

end28.0ms (1.1%)

Profiling