Details

analyze8.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.1s (62.7%)

Results

1.0s

8256×

body

128

valid

preprocess32.0ms (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)

simplify23.0ms (1.4%)

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

6.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	44.7b	(/.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))
▶	6.0b	(/.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 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 4 (/.f64 i (pow.f64 i 3)))
✓	0.6b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
✓	9.6b	(/.f64 i (pow.f64 i 3))

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(/.f64 i (pow.f64 i 3))
1.0ms	i	@	0	(/.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))))
0.0ms	i	@	inf	(/.f64 i (pow.f64 i 3))
0.0ms	i	@	-inf	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

rewrite54.0ms (3.2%)

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	30
1	215	21
2	2674	21

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

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

simplify33.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

691×	`cancel-sign-sub-inv_binary64`
657×	`fma-neg_binary64`
413×	`unswap-sqr_binary64`
412×	`fma-def_binary64`
351×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	369
1	94	366
2	221	366
3	663	366
4	3084	366

Stop Event

1×	node limit

Counts

149 → 135

Calls

Call 1

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

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

prune173.0ms (10.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	134	3	137

Error

Counts

137 → 3

Alt Table

Status	Error	Program
	44.7b	(/.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))
▶	31.8b	(*.f64 -1/4 (pow.f64 i 2))
✓	6.0b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

Compiler

Compiled 1782 to 1449 computations (18.7% saved)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
▶	44.7b	(/.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))
✓	31.8b	(*.f64 -1/4 (pow.f64 i 2))
✓	6.0b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

Compiler

Compiled 68 to 47 computations (30.9% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 i i) (*.f64 i i))
✓	15.5b	(/.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))
✓	41.0b	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i)))

New

Error

Program

✓

0.2b

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

✓

15.5b

(/.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))

✓

41.0b

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

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`prod-diff_binary64`
200×	`log1p-udef_binary64`
147×	`times-frac_binary64`
126×	`add-sqr-sqrt_binary64`
121×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	255	40
2	3934	40

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

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

simplify33.0ms (2%)

Algorithm

1×	egg-herbie

Rules

691×	`cancel-sign-sub-inv_binary64`
657×	`fma-neg_binary64`
413×	`unswap-sqr_binary64`
410×	`fma-def_binary64`
358×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	318
1	93	315
2	218	315
3	652	315
4	3044	315

Stop Event

1×	node limit

Counts

158 → 139

Calls

Call 1

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

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

prune100.0ms (5.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	139	3	142

Error

Counts

142 → 3

Alt Table

Status	Error	Program
✓	44.7b	(/.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))
✓	31.8b	(*.f64 -1/4 (pow.f64 i 2))
✓	6.0b	(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))

Compiler

Compiled 3135 to 2185 computations (30.3% saved)

regimes19.0ms (1.1%)

Accuracy

Total -54.8b remaining (-16966.3%)

Threshold costs -54.8b (-16966.3%)

Counts

11 → 1

Compiler

Compiled 169 to 121 computations (28.4% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	14	13
2	20	13
3	22	13
4	23	13

Stop Event

1×

saturated

Calls

Call 1

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

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

end48.0ms (2.9%)

Stop Event

1×

done

Compiler

Compiled 59 to 45 computations (23.7% saved)

Details

analyze8.0ms (0.5%)

sample1.1s (62.7%)

preprocess32.0ms (1.9%)

simplify23.0ms (1.4%)

prune4.0ms (0.2%)

localize5.0ms (0.3%)

series4.0ms (0.2%)

rewrite54.0ms (3.2%)

simplify33.0ms (1.9%)

prune173.0ms (10.3%)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

localize8.0ms (0.5%)

series4.0ms (0.2%)

rewrite72.0ms (4.3%)

simplify33.0ms (2%)

prune100.0ms (5.9%)

regimes19.0ms (1.1%)

simplify3.0ms (0.2%)

end48.0ms (2.9%)

Profiling