Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.0s (54.5%)

Results

1.0s

8256×

body

128

valid

Compiler

Compiled 58 to 38 computations (34.5% saved)

preprocess35.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

554×	`associate-/r*_binary64`
513×	`distribute-rgt-in_binary64`
416×	`associate-/r/_binary64`
349×	`fma-def_binary64`
319×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	40	26
2	200	17
3	1316	13
4	3585	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 (.f64 i (.f64 i (.f64 i i))) (.f64 4 (.f64 i i))) (+.f64 (.f64 4 (*.f64 i i)) -1))
(.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))))

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify20.0ms (1%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-/r*_binary64`
513×	`distribute-rgt-in_binary64`
416×	`associate-/r/_binary64`
349×	`fma-def_binary64`
319×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	40	26
2	200	17
3	1316	13
4	3585	13

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 4 (.f64 i i))) (+.f64 (.f64 4 (*.f64 i i)) -1))
(.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))))

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

4.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	46.8b	(/.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))
▶	4.6b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

Compiler

Compiled 107 to 74 computations (30.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
✓	10.5b	(/.f64 i (pow.f64 i 3))

series4.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

436×	`log-prod_binary64`
172×	`expm1-udef_binary64`
172×	`log1p-udef_binary64`
168×	`pow1/3_binary64`
150×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	215	14
2	2674	14

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

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

Outputs

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

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

simplify38.0ms (2%)

Algorithm

1×	egg-herbie

Rules

438×	`associate-l_binary64`
438×	`fma-neg_binary64`
413×	`unswap-sqr_binary64`
320×	`cancel-sign-sub-inv_binary64`
291×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	273
1	104	271
2	285	267
3	1068	267
4	4284	267

Stop Event

1×	node limit

Counts

92 → 85

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

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

prune72.0ms (3.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	84	3	87

Error

Counts

87 → 3

Alt Table

Status	Error	Program
✓	4.6b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
▶	15.9b	(sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))
	32.0b	(-.f64 (.f64 (pow.f64 i 6) -4) (fma.f64 (.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))

Status

Error

Program

✓

4.6b

(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

▶

15.9b

(sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))

32.0b

(-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))

Compiler

Compiled 1115 to 890 computations (20.2% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (-.f64 4 (pow.f64 i -2)) 2)
✓	0.2b	(/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))
✓	8.6b	(sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))

series10.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	i	@	0	(sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))
1.0ms	i	@	0	(/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))
1.0ms	i	@	inf	(sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))
1.0ms	i	@	-inf	(/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))
1.0ms	i	@	inf	(/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))

rewrite50.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`log-prod_binary64`
190×	`expm1-udef_binary64`
190×	`log1p-udef_binary64`
186×	`pow1/3_binary64`
171×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	249	33
2	2808	33

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))
(/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))
(pow.f64 (-.f64 4 (pow.f64 i -2)) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) (cbrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (cbrt.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 1 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 (-.f64 4 (pow.f64 i -2)) 4)))) (sqrt.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1/16 1/2) (pow.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 (-.f64 4 (pow.f64 i -2)) 4))) 1/2) (pow.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4 (pow.f64 i -2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (-.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/16) (sqrt.f64 (neg.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (neg.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2) 16)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 4 (pow.f64 i -2)) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/16) (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))) (cbrt.f64 (pow.f64 (exp.f64 1/16) (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/16) (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/16) (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/16) (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 (-.f64 4 (pow.f64 i -2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))) (.f64 (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/256 (pow.f64 (-.f64 4 (pow.f64 i -2)) 4))) (cbrt.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/16 (/.f64 1 (neg.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))) 3) (/.f64 1/2 (sqrt.f64 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) (cbrt.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))) (cbrt.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/256 (pow.f64 (-.f64 4 (pow.f64 i -2)) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2) 16) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2) 16) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/256 (pow.f64 (-.f64 4 (pow.f64 i -2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/16) (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 1/4 (-.f64 4 (pow.f64 i -2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (-.f64 4 (pow.f64 i -2))) (.f64 (neg.f64 (pow.f64 i -2)) (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 4 (pow.f64 i -2)) 4) (.f64 (-.f64 4 (pow.f64 i -2)) (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (pow.f64 i -2)) (-.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2) (.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 4)) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (-.f64 4 (pow.f64 i -2))) 3) (sqrt.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 4 (pow.f64 i -2)) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 i -2))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (pow.f64 i -4)) (-.f64 16 (pow.f64 i -4))) (.f64 (+.f64 4 (pow.f64 i -2)) (+.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64 (pow.f64 i -6)) (-.f64 64 (pow.f64 i -6))) (.f64 (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16) (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (pow.f64 i -4)) (-.f64 64 (pow.f64 i -6))) (.f64 (+.f64 4 (pow.f64 i -2)) (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64 (pow.f64 i -6)) (-.f64 16 (pow.f64 i -4))) (.f64 (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16) (+.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64 (pow.f64 i -6)) (-.f64 4 (pow.f64 i -2))) (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (pow.f64 i -4)) (-.f64 4 (pow.f64 i -2))) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (pow.f64 i -2)) (-.f64 64 (pow.f64 i -6))) (fma.f64 (pow.f64 i -2) (+.f64 4 (pow.f64 i -2)) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (pow.f64 i -2)) (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (-.f64 4 (pow.f64 i -2)) (.f64 (neg.f64 (pow.f64 i -2)) (-.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 4 (pow.f64 i -2)) 4 (.f64 (-.f64 4 (pow.f64 i -2)) (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)) 1))))))

Outputs

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

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

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

simplify28.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

668×	`associate-l_binary64`
475×	`associate-r_binary64`
444×	`fma-neg_binary64`
326×	`cancel-sign-sub-inv_binary64`
264×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	534
1	188	532
2	485	528
3	1625	528

Stop Event

1×	node limit

Counts

136 → 138

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 i 2))
(neg.f64 (+.f64 (pow.f64 i 4) (*.f64 1/4 (pow.f64 i 2))))
(neg.f64 (+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (.f64 4 (pow.f64 i 6)))))
(neg.f64 (+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (+.f64 (.f64 16 (pow.f64 i 8)) (*.f64 4 (pow.f64 i 6))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 1/256 (/.f64 1 (pow.f64 i 4)))))
(+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (*.f64 1/256 (/.f64 1 (pow.f64 i 4))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 1/256 (/.f64 1 (pow.f64 i 4)))))
(+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (*.f64 1/256 (/.f64 1 (pow.f64 i 4))))))
(*.f64 1/16 (pow.f64 i 4))
(+.f64 (.f64 1/16 (pow.f64 i 4)) (.f64 1/2 (pow.f64 i 6)))
(+.f64 (.f64 1/16 (pow.f64 i 4)) (+.f64 (.f64 3 (pow.f64 i 8)) (*.f64 1/2 (pow.f64 i 6))))
(+.f64 (.f64 1/16 (pow.f64 i 4)) (+.f64 (.f64 16 (pow.f64 i 10)) (+.f64 (.f64 3 (pow.f64 i 8)) (.f64 1/2 (pow.f64 i 6)))))
1/256
(+.f64 1/256 (*.f64 1/512 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/256 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 i 2))) (.f64 3/4096 (/.f64 1 (pow.f64 i 4)))))
(+.f64 (.f64 1/4096 (/.f64 1 (pow.f64 i 6))) (+.f64 1/256 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 i 2))) (*.f64 3/4096 (/.f64 1 (pow.f64 i 4))))))
1/256
(+.f64 1/256 (*.f64 1/512 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/256 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 i 2))) (.f64 3/4096 (/.f64 1 (pow.f64 i 4)))))
(+.f64 (.f64 1/4096 (/.f64 1 (pow.f64 i 6))) (+.f64 1/256 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 i 2))) (*.f64 3/4096 (/.f64 1 (pow.f64 i 4))))))
(/.f64 1 (pow.f64 i 4))
(-.f64 (/.f64 1 (pow.f64 i 4)) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
16
(-.f64 16 (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
16
(-.f64 16 (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))

Outputs
(*.f64 -1/4 (pow.f64 i 2))
(.f64 -1/4 (.f64 i i))
(neg.f64 (+.f64 (pow.f64 i 4) (*.f64 1/4 (pow.f64 i 2))))
(neg.f64 (+.f64 (pow.f64 i 4) (.f64 (.f64 i i) 1/4)))
(-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4))
(.f64 (.f64 i i) (-.f64 -1/4 (*.f64 i i)))
(.f64 i (-.f64 (.f64 -1/4 i) (pow.f64 i 3)))
(neg.f64 (+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (.f64 4 (pow.f64 i 6)))))
(neg.f64 (+.f64 (pow.f64 i 4) (fma.f64 1/4 (.f64 i i) (.f64 4 (pow.f64 i 6)))))
(-.f64 (neg.f64 (pow.f64 i 4)) (fma.f64 4 (pow.f64 i 6) (.f64 i (.f64 i 1/4))))
(-.f64 (.f64 -1/4 (.f64 i i)) (fma.f64 4 (pow.f64 i 6) (pow.f64 i 4)))
(fma.f64 (pow.f64 i 6) -4 (.f64 i (-.f64 (.f64 -1/4 i) (pow.f64 i 3))))
(neg.f64 (+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (+.f64 (.f64 16 (pow.f64 i 8)) (*.f64 4 (pow.f64 i 6))))))
(neg.f64 (+.f64 (pow.f64 i 4) (fma.f64 1/4 (.f64 i i) (fma.f64 16 (pow.f64 i 8) (.f64 4 (pow.f64 i 6))))))
(-.f64 (-.f64 (.f64 -1/4 (.f64 i i)) (pow.f64 i 4)) (fma.f64 4 (pow.f64 i 6) (*.f64 16 (pow.f64 i 8))))
(neg.f64 (fma.f64 (.f64 i i) (fma.f64 i i 1/4) (fma.f64 4 (pow.f64 i 6) (.f64 16 (pow.f64 i 8)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
(+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 1/256 (/.f64 1 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (*.f64 1/256 (/.f64 1 (pow.f64 i 4))))))
(+.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 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.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 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (.f64 1/256 (/.f64 1 (pow.f64 i 4)))))
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4)))
(+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (*.f64 1/256 (/.f64 1 (pow.f64 i 4))))))
(+.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 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6))))
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/1024 (pow.f64 i 6))))
(*.f64 1/16 (pow.f64 i 4))
(*.f64 (pow.f64 i 4) 1/16)
(+.f64 (.f64 1/16 (pow.f64 i 4)) (.f64 1/2 (pow.f64 i 6)))
(fma.f64 1/16 (pow.f64 i 4) (*.f64 (pow.f64 i 6) 1/2))
(fma.f64 (pow.f64 i 4) 1/16 (*.f64 (pow.f64 i 6) 1/2))
(+.f64 (.f64 1/16 (pow.f64 i 4)) (+.f64 (.f64 3 (pow.f64 i 8)) (*.f64 1/2 (pow.f64 i 6))))
(fma.f64 1/16 (pow.f64 i 4) (fma.f64 3 (pow.f64 i 8) (*.f64 (pow.f64 i 6) 1/2)))
(fma.f64 (pow.f64 i 4) 1/16 (fma.f64 (pow.f64 i 6) 1/2 (*.f64 (pow.f64 i 8) 3)))
(fma.f64 (pow.f64 i 6) 1/2 (fma.f64 (pow.f64 i 4) 1/16 (*.f64 (pow.f64 i 8) 3)))
(+.f64 (.f64 1/16 (pow.f64 i 4)) (+.f64 (.f64 16 (pow.f64 i 10)) (+.f64 (.f64 3 (pow.f64 i 8)) (.f64 1/2 (pow.f64 i 6)))))
(fma.f64 1/16 (pow.f64 i 4) (fma.f64 16 (pow.f64 i 10) (fma.f64 3 (pow.f64 i 8) (*.f64 (pow.f64 i 6) 1/2))))
(fma.f64 (pow.f64 i 4) 1/16 (fma.f64 16 (pow.f64 i 10) (fma.f64 (pow.f64 i 6) 1/2 (*.f64 (pow.f64 i 8) 3))))
(fma.f64 (pow.f64 i 4) 1/16 (fma.f64 (pow.f64 i 6) 1/2 (fma.f64 16 (pow.f64 i 10) (*.f64 (pow.f64 i 8) 3))))
1/256
(+.f64 1/256 (*.f64 1/512 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/256 (/.f64 1/512 (*.f64 i i)))
(+.f64 1/256 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 i 2))) (.f64 3/4096 (/.f64 1 (pow.f64 i 4)))))
(+.f64 1/256 (+.f64 (/.f64 1/512 (*.f64 i i)) (/.f64 3/4096 (pow.f64 i 4))))
(+.f64 (+.f64 1/256 (/.f64 1/512 (*.f64 i i))) (/.f64 3/4096 (pow.f64 i 4)))
(+.f64 (.f64 1/4096 (/.f64 1 (pow.f64 i 6))) (+.f64 1/256 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 i 2))) (*.f64 3/4096 (/.f64 1 (pow.f64 i 4))))))
(+.f64 (+.f64 1/256 (+.f64 (/.f64 1/512 (*.f64 i i)) (/.f64 3/4096 (pow.f64 i 4)))) (/.f64 1/4096 (pow.f64 i 6)))
(+.f64 1/256 (+.f64 (+.f64 (/.f64 1/512 (*.f64 i i)) (/.f64 3/4096 (pow.f64 i 4))) (/.f64 1/4096 (pow.f64 i 6))))
(+.f64 1/256 (+.f64 (+.f64 (/.f64 1/4096 (pow.f64 i 6)) (/.f64 1/512 (*.f64 i i))) (/.f64 3/4096 (pow.f64 i 4))))
1/256
(+.f64 1/256 (*.f64 1/512 (/.f64 1 (pow.f64 i 2))))
(+.f64 1/256 (/.f64 1/512 (*.f64 i i)))
(+.f64 1/256 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 i 2))) (.f64 3/4096 (/.f64 1 (pow.f64 i 4)))))
(+.f64 1/256 (+.f64 (/.f64 1/512 (*.f64 i i)) (/.f64 3/4096 (pow.f64 i 4))))
(+.f64 (+.f64 1/256 (/.f64 1/512 (*.f64 i i))) (/.f64 3/4096 (pow.f64 i 4)))
(+.f64 (.f64 1/4096 (/.f64 1 (pow.f64 i 6))) (+.f64 1/256 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 i 2))) (*.f64 3/4096 (/.f64 1 (pow.f64 i 4))))))
(+.f64 (+.f64 1/256 (+.f64 (/.f64 1/512 (*.f64 i i)) (/.f64 3/4096 (pow.f64 i 4)))) (/.f64 1/4096 (pow.f64 i 6)))
(+.f64 1/256 (+.f64 (+.f64 (/.f64 1/512 (*.f64 i i)) (/.f64 3/4096 (pow.f64 i 4))) (/.f64 1/4096 (pow.f64 i 6))))
(+.f64 1/256 (+.f64 (+.f64 (/.f64 1/4096 (pow.f64 i 6)) (/.f64 1/512 (*.f64 i i))) (/.f64 3/4096 (pow.f64 i 4))))
(/.f64 1 (pow.f64 i 4))
(-.f64 (/.f64 1 (pow.f64 i 4)) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 8 (*.f64 i i)))
(+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -8 (*.f64 i i)))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 16 (/.f64 -8 (*.f64 i i))))
(+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (-.f64 16 (/.f64 8 (*.f64 i i))))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 16 (/.f64 -8 (*.f64 i i))))
(+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (-.f64 16 (/.f64 8 (*.f64 i i))))
16
(-.f64 16 (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(-.f64 16 (/.f64 8 (*.f64 i i)))
(+.f64 16 (/.f64 -8 (*.f64 i i)))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 16 (/.f64 -8 (*.f64 i i))))
(+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (-.f64 16 (/.f64 8 (*.f64 i i))))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 16 (/.f64 -8 (*.f64 i i))))
(+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (-.f64 16 (/.f64 8 (*.f64 i i))))
16
(-.f64 16 (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(-.f64 16 (/.f64 8 (*.f64 i i)))
(+.f64 16 (/.f64 -8 (*.f64 i i)))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 16 (/.f64 -8 (*.f64 i i))))
(+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (-.f64 16 (/.f64 8 (*.f64 i i))))
(-.f64 (+.f64 16 (/.f64 1 (pow.f64 i 4))) (*.f64 8 (/.f64 1 (pow.f64 i 2))))
(+.f64 16 (-.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (+.f64 16 (/.f64 -8 (*.f64 i i))))
(+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 -8 (*.f64 i i))))
(+.f64 (/.f64 1 (pow.f64 i 4)) (-.f64 16 (/.f64 8 (*.f64 i i))))

prune102.0ms (5.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	138	3	141

Error

Counts

141 → 3

Alt Table

Status

Error

Program

✓

4.6b

(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

✓

15.9b

(sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))

▶

32.0b

(-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))

Compiler

Compiled 2150 to 1868 computations (13.1% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (.f64 i i) (fma.f64 i i 1/4) (.f64 16 (pow.f64 i 8)))
✓	0.0b	(-.f64 (.f64 (pow.f64 i 6) -4) (fma.f64 (.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))

series9.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	i	@	-inf	(-.f64 (.f64 (pow.f64 i 6) -4) (fma.f64 (.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))
1.0ms	i	@	-inf	(fma.f64 (.f64 i i) (fma.f64 i i 1/4) (.f64 16 (pow.f64 i 8)))
1.0ms	i	@	inf	(fma.f64 (.f64 i i) (fma.f64 i i 1/4) (.f64 16 (pow.f64 i 8)))
1.0ms	i	@	inf	(-.f64 (.f64 (pow.f64 i 6) -4) (fma.f64 (.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))
1.0ms	i	@	0	(-.f64 (.f64 (pow.f64 i 6) -4) (fma.f64 (.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))

rewrite67.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`prod-diff_binary64`
152×	`add-sqr-sqrt_binary64`
150×	`add-log-exp_binary64`
150×	`log1p-expm1-u_binary64`
150×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	327	45
2	3757	45

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(-.f64 (.f64 (pow.f64 i 6) -4) (fma.f64 (.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))
(fma.f64 (.f64 i i) (fma.f64 i i 1/4) (.f64 16 (pow.f64 i 8)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 i 6) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 i 6) -4) (*.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 -1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2)) (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (*.f64 (pow.f64 i 6) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (pow.f64 i 6) -4) 1 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (pow.f64 i 6) -4) 1 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (pow.f64 i 6) -4) 1 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (pow.f64 i 6) -4) 1 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 -1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (pow.f64 i 6) -4) 1 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2)) (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (*.f64 i i) (cbrt.f64 -4)) (cbrt.f64 (*.f64 16 (pow.f64 i 12))) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (*.f64 i i) (cbrt.f64 -4)) (cbrt.f64 (*.f64 16 (pow.f64 i 12))) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (*.f64 i i) (cbrt.f64 -4)) (cbrt.f64 (*.f64 16 (pow.f64 i 12))) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (*.f64 i i) (cbrt.f64 -4)) (cbrt.f64 (*.f64 16 (pow.f64 i 12))) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 -1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (*.f64 i i) (cbrt.f64 -4)) (cbrt.f64 (*.f64 16 (pow.f64 i 12))) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2)) (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 i 3) (*.f64 (pow.f64 i 3) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 i 3) (*.f64 (pow.f64 i 3) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 i 3) (*.f64 (pow.f64 i 3) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 i 3) (*.f64 (pow.f64 i 3) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 -1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 i 3) (*.f64 (pow.f64 i 3) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2)) (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 i 4) (*.f64 (*.f64 i i) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 i 4) (*.f64 (*.f64 i i) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 i 4) (*.f64 (*.f64 i i) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 i 4) (*.f64 (*.f64 i i) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 -1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 i 4) (*.f64 (*.f64 i i) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2)) (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -4 (pow.f64 i 4)) (*.f64 i i) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -4 (pow.f64 i 4)) (*.f64 i i) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -4 (pow.f64 i 4)) (*.f64 i i) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -4 (pow.f64 i 4)) (*.f64 i i) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 -1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -4 (pow.f64 i 4)) (*.f64 i i) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2)) (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -4 (pow.f64 i 3)) (pow.f64 i 3) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -4 (pow.f64 i 3)) (pow.f64 i 3) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -4 (pow.f64 i 3)) (pow.f64 i 3) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -4 (pow.f64 i 3)) (pow.f64 i 3) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 -1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -4 (pow.f64 i 3)) (pow.f64 i 3) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2)) (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 -64 (pow.f64 (pow.f64 i 6) 3)) (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 3)) (/.f64 1 (+.f64 (*.f64 16 (pow.f64 i 12)) (*.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (pow.f64 i 6) -4 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 16 (pow.f64 i 12)) (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 2)) (/.f64 1 (fma.f64 (pow.f64 i 6) -4 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 -4) (pow.f64 i 3)) (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (-.f64 (*.f64 (sqrt.f64 -4) (pow.f64 i 3)) (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 16 (pow.f64 i 12)) (*.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (pow.f64 i 6) -4 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))) (-.f64 (*.f64 -64 (pow.f64 (pow.f64 i 6) 3)) (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 i 6) -4 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (-.f64 (*.f64 16 (pow.f64 i 12)) (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -64 (pow.f64 (pow.f64 i 6) 3)) (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 3)) (+.f64 (*.f64 16 (pow.f64 i 12)) (*.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (pow.f64 i 6) -4 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 16 (pow.f64 i 12)) (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 2)) (fma.f64 (pow.f64 i 6) -4 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 -64 (pow.f64 (pow.f64 i 6) 3)) (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 3))) (neg.f64 (+.f64 (*.f64 16 (pow.f64 i 12)) (*.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) (fma.f64 (pow.f64 i 6) -4 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 16 (pow.f64 i 12)) (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 2))) (neg.f64 (fma.f64 (pow.f64 i 6) -4 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -64 (pow.f64 (pow.f64 i 6) 3)) (pow.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 3)) (+.f64 (*.f64 16 (pow.f64 i 12)) (-.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) (*.f64 (*.f64 (pow.f64 i 6) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 16 (pow.f64 i 12)) (*.f64 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))) (-.f64 (*.f64 (pow.f64 i 6) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 i 6) -4 (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (pow.f64 i 6) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 i 6) -4) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16 (pow.f64 i 12))) (*.f64 (*.f64 i i) (cbrt.f64 -4)) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -4) (pow.f64 i 3)) (*.f64 (sqrt.f64 -4) (pow.f64 i 3)) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 16 (pow.f64 i 8)) (*.f64 (*.f64 i i) (fma.f64 i i 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i i) (fma.f64 i i 1/4)) (*.f64 16 (pow.f64 i 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 i i) (fma.f64 i i 1/4)) 1) (*.f64 16 (pow.f64 i 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2) (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i i) (fma.f64 i i 1/4)) 3) (pow.f64 (*.f64 16 (pow.f64 i 8)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 i i) (fma.f64 i i 1/4)) (*.f64 (*.f64 i i) (fma.f64 i i 1/4))) (-.f64 (*.f64 (pow.f64 i 16) 256) (*.f64 (*.f64 (*.f64 i i) (fma.f64 i i 1/4)) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 i i) (fma.f64 i i 1/4)) (*.f64 (*.f64 i i) (fma.f64 i i 1/4))) (*.f64 (pow.f64 i 16) 256)) (-.f64 (*.f64 (*.f64 i i) (fma.f64 i i 1/4)) (*.f64 16 (pow.f64 i 8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8)))) 1))))))

simplify23.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

743×	`fma-neg_binary64`
607×	`associate-l_binary64`
535×	`cancel-sign-sub-inv_binary64`
432×	`associate-r_binary64`
154×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	401
1	94	393
2	278	365
3	1097	365

Stop Event

1×	node limit

Counts

118 → 117

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 i 2))
(neg.f64 (+.f64 (pow.f64 i 4) (*.f64 1/4 (pow.f64 i 2))))
(neg.f64 (+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (.f64 4 (pow.f64 i 6)))))
(neg.f64 (+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (+.f64 (.f64 16 (pow.f64 i 8)) (*.f64 4 (pow.f64 i 6))))))
(*.f64 -16 (pow.f64 i 8))
(neg.f64 (+.f64 (.f64 16 (pow.f64 i 8)) (.f64 4 (pow.f64 i 6))))
(neg.f64 (+.f64 (pow.f64 i 4) (+.f64 (.f64 16 (pow.f64 i 8)) (.f64 4 (pow.f64 i 6)))))
(neg.f64 (+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (+.f64 (.f64 16 (pow.f64 i 8)) (*.f64 4 (pow.f64 i 6))))))
(*.f64 -16 (pow.f64 i 8))
(neg.f64 (+.f64 (.f64 16 (pow.f64 i 8)) (.f64 4 (pow.f64 i 6))))
(neg.f64 (+.f64 (pow.f64 i 4) (+.f64 (.f64 16 (pow.f64 i 8)) (.f64 4 (pow.f64 i 6)))))
(neg.f64 (+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (+.f64 (.f64 16 (pow.f64 i 8)) (*.f64 4 (pow.f64 i 6))))))
(*.f64 1/4 (pow.f64 i 2))
(+.f64 (pow.f64 i 4) (*.f64 1/4 (pow.f64 i 2)))
(+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (.f64 16 (pow.f64 i 8))))
(+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (.f64 16 (pow.f64 i 8))))
(*.f64 16 (pow.f64 i 8))
(+.f64 (pow.f64 i 4) (*.f64 16 (pow.f64 i 8)))
(+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (.f64 16 (pow.f64 i 8))))
(+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (.f64 16 (pow.f64 i 8))))
(*.f64 16 (pow.f64 i 8))
(+.f64 (pow.f64 i 4) (*.f64 16 (pow.f64 i 8)))
(+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (.f64 16 (pow.f64 i 8))))
(+.f64 (pow.f64 i 4) (+.f64 (.f64 1/4 (pow.f64 i 2)) (.f64 16 (pow.f64 i 8))))

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

prune107.0ms (5.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Error

Counts

120 → 3

Alt Table

Status

Error

Program

✓

4.6b

(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

✓

15.9b

(sqrt.f64 (/.f64 1/16 (pow.f64 (-.f64 4 (pow.f64 i -2)) 2)))

✓

32.0b

(-.f64 (*.f64 (pow.f64 i 6) -4) (fma.f64 (*.f64 i i) (fma.f64 i i 1/4) (*.f64 16 (pow.f64 i 8))))

Compiler

Compiled 4306 to 2772 computations (35.6% saved)

regimes146.0ms (7.8%)

Accuracy

Total 0.3b remaining (98.1%)

Threshold costs 0.3b (98.1%)

Counts

78 → 1

Compiler

Compiled 1894 to 1507 computations (20.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	16	13
2	19	13
3	21	13
4	22	13

Stop Event

1×

saturated

Calls

Call 1

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

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

end64.0ms (3.4%)

Stop Event

1×

done

Compiler

Compiled 61 to 48 computations (21.3% saved)

Details

analyze6.0ms (0.3%)

sample1.0s (54.5%)

preprocess35.0ms (1.9%)

simplify20.0ms (1%)

prune4.0ms (0.2%)

localize5.0ms (0.3%)

series4.0ms (0.2%)

rewrite46.0ms (2.4%)

simplify38.0ms (2%)

prune72.0ms (3.8%)

localize6.0ms (0.3%)

series10.0ms (0.5%)

rewrite50.0ms (2.7%)

simplify28.0ms (1.5%)

prune102.0ms (5.4%)

localize10.0ms (0.5%)

series9.0ms (0.5%)

rewrite67.0ms (3.6%)

simplify23.0ms (1.2%)

prune107.0ms (5.7%)

regimes146.0ms (7.8%)

simplify4.0ms (0.2%)

end64.0ms (3.4%)

Profiling