Details

analyze306.0ms (3.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
3.2%	3.1%	93.7%	0.1%	3.1%	0%	0%	6
5%	4.7%	89%	0.1%	3.1%	3.1%	0%	7
22.1%	19.5%	68.7%	0.1%	4.7%	7%	0%	8
27%	22.6%	61.3%	0.1%	5.1%	10.9%	0%	9
32.9%	26.5%	54%	0.1%	5.9%	13.5%	0%	10
36.2%	28.3%	49.9%	0.1%	6.1%	15.6%	0%	11
39.8%	30.4%	45.9%	0.1%	6.6%	17%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample4.2s (45.4%)

Results

1.6s	1758×	body	1024	valid
1.3s	5311×	body	256	valid
513.0ms	1020×	body	512	valid
187.0ms	168×	body	1024	infinite
186.0ms	167×	body	2048	valid
130.0ms	260×	body	512	infinite
114.0ms	455×	body	256	infinite
77.0ms	475×	body	256	invalid

Bogosity

preprocess72.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

501×	`associate-l_binary64`
493×	`fma-def_binary64`
436×	`associate-r_binary64`
400×	`times-frac_binary64`
393×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	29	26
2	45	26
3	96	26
4	242	26
5	602	26
6	1637	26
7	6306	26
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y x))))) y)

Outputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y x))))) y)
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 x y)))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 x y)) y) y)

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64`
443×	`fma-neg_binary64`
342×	`exp-sum_binary64`
258×	`associate-l_binary64`
255×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	13
2	25	13
3	54	13
4	133	13
5	327	13
6	878	13
7	3321	13
8	6606	13

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Outputs
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

eval1.0ms (0%)

Compiler: Compiled 22 to 10 computations (54.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

8.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.3b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 11 to 6 computations (45.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	5.0b	(pow.f64 (/.f64 x (+.f64 x y)) x)

Compiler

Compiled 28 to 6 computations (78.6% saved)

series28.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(pow.f64 (/.f64 x (+.f64 x y)) x)
3.0ms	y	@	-inf	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
3.0ms	x	@	inf	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
2.0ms	x	@	-inf	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
2.0ms	y	@	inf	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite121.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`prod-diff_binary64`
457×	`log-prod_binary64`
285×	`pow-prod-down_binary64`
235×	`pow2_binary64`
203×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	165	30
2	2529	30

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(pow.f64 (/.f64 x (+.f64 x y)) x)
(/.f64 x (+.f64 x y))
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

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

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

simplify149.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-/l*_binary64`
586×	`associate-/r*_binary64`
289×	`fma-def_binary64`
267×	`associate-*l/_binary64`
204×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	3273
1	953	2761
2	3930	2296

Stop Event

1×	node limit

Counts

193 → 214

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (/.f64 1 y)) (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) y)))) (pow.f64 x 3)) (.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (/.f64 1 y)) (pow.f64 x 2)))))
(exp.f64 (*.f64 -1 y))
(+.f64 (exp.f64 (.f64 -1 y)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2)))) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) 2)) (.f64 1/6 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3))))))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1 y)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) 2)) (.f64 1/6 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3))))))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1 y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3)))) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))))) (+.f64 (.f64 1/48 (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) 3)) (.f64 1/24 (+.f64 (.f64 -12 (pow.f64 y 4)) (+.f64 (.f64 48 (pow.f64 y 4)) (+.f64 (.f64 -24 (pow.f64 y 4)) (.f64 -6 (pow.f64 y 4)))))))) (exp.f64 (.f64 -1 y))) (pow.f64 x 3)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2)))) x)))))
(exp.f64 (*.f64 -1 y))
(+.f64 (exp.f64 (.f64 -1 y)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2)))) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) 2)) (.f64 -1/6 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 2 (pow.f64 y 3))))))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1 y)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) 2)) (.f64 -1/6 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 2 (pow.f64 y 3))))))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 -1/24 (+.f64 (.f64 -12 (pow.f64 y 4)) (+.f64 (.f64 48 (pow.f64 y 4)) (+.f64 (.f64 -24 (pow.f64 y 4)) (.f64 -6 (pow.f64 y 4)))))) (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) 3)) (.f64 1/12 (.f64 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 2 (pow.f64 y 3)))) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2)))))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2)))) x)))))
1
(+.f64 1 (*.f64 -1 y))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 1/2 (.f64 1/2 (/.f64 1 x)))) (+.f64 1 (*.f64 -1 y)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 1/2 (.f64 1/2 (/.f64 1 x)))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/6 (.f64 1/3 (/.f64 1 (pow.f64 x 2))))))) (*.f64 -1 y))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) (pow.f64 x 2)) y)) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 4)) (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x))) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) (pow.f64 x 2)) y)) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 4)) (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x))) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) (pow.f64 x 2)) y)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))) (.f64 1/6 (.f64 (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -6 (pow.f64 x 3)) (.f64 6 (pow.f64 x 3)))) x)))) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) (pow.f64 y 3)) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))))
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))
(+.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) (pow.f64 x 2)) y)))
(+.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 4)) (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x))) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))) (pow.f64 y 2)) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) (pow.f64 x 2)) y))))
(+.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 4)) (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x))) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/6 (.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 6 (pow.f64 x 3)) (.f64 -6 (pow.f64 x 3)))) x))))) (pow.f64 y 3))) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) (pow.f64 x 2)) y)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 1 x)
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (/.f64 1 y)) x) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (/.f64 1 y)) x) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) y)))) (pow.f64 x 2)) (+.f64 (/.f64 1 x) (log.f64 x)))))
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2)))) (pow.f64 x 2))) (/.f64 (exp.f64 (.f64 -1 y)) x))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (/.f64 (exp.f64 (.f64 -1 y)) x) (/.f64 (.f64 (exp.f64 (.f64 -1 y)) (+.f64 (.f64 1/6 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3))))) (.f64 1/8 (pow.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 2))) 2)))) (pow.f64 x 3))))
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Outputs
1
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(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x)
(/.f64 (pow.f64 (*.f64 (/.f64 1 y) x) x) x)
(+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x) y)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) x) (neg.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) (/.f64 y x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (/.f64 x (/.f64 y (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 1 y) x) x) x) (.f64 (/.f64 x y) (pow.f64 (*.f64 (/.f64 1 y) x) x)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (.f64 1/2 (pow.f64 x 4))) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x) y))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) x) (neg.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) (/.f64 y x)))) (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 x (.f64 (.f64 x x) 1)) (pow.f64 x 4))) (.f64 y y)) (/.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) x)))
(-.f64 (.f64 (+.f64 (.f64 (/.f64 1/2 y) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) y)) 1) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x)) (/.f64 x (/.f64 y (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))))))
(-.f64 (.f64 (+.f64 (.f64 (/.f64 1/2 (.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 x 4))) 1) (/.f64 (pow.f64 (.f64 (/.f64 1 y) x) x) x)) (.f64 (/.f64 x y) (pow.f64 (.f64 (/.f64 1 y) x) x)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (.f64 1/2 (pow.f64 x 4))) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) (.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))) (.f64 1/6 (.f64 (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -6 (pow.f64 x 3)) (.f64 6 (pow.f64 x 3)))) x)))) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))) (.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x) (.f64 -1 (/.f64 (.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x) y)))))
(+.f64 (.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 x (.f64 (.f64 x x) 1)) (pow.f64 x 4))) (.f64 y y)) (/.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) x)) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) x) (neg.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) (/.f64 y x)))) (.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1/2 (.f64 (pow.f64 x 3) (.f64 (.f64 x x) 1)) (.f64 1/6 (.f64 x (fma.f64 -2 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0)))))) (pow.f64 y 3)) (/.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x) x))))
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (/.f64 x (/.f64 y (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y)))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (+.f64 (.f64 (/.f64 1/2 y) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) y)) (/.f64 (fma.f64 -1/6 (pow.f64 x 6) (fma.f64 1/6 (.f64 x (.f64 (pow.f64 x 3) -2)) (.f64 -1/2 (.f64 x (pow.f64 x 4))))) (pow.f64 y 3)))))
(-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 1 y) x) x) x) (+.f64 (.f64 (/.f64 1/2 (.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 x 4))) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 6) (fma.f64 1/6 (.f64 x (.f64 (pow.f64 x 3) -2)) (.f64 -1/2 (pow.f64 x 5)))) (pow.f64 y 3)) 1))) (.f64 (/.f64 x y) (pow.f64 (*.f64 (/.f64 1 y) x) x)))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) x)
(+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x) y)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x) (neg.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y x)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 -1 y) (neg.f64 x)) x) x) (.f64 (/.f64 x y) (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x)))
(+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x) y)) (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (.f64 1/2 (pow.f64 x 4)))) (*.f64 (pow.f64 y 2) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y x)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 (.f64 x (.f64 y y)) (.f64 1/2 (+.f64 (.f64 x (.f64 (.f64 x x) 1)) (pow.f64 x 4)))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (.f64 y y)) (/.f64 1/2 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 4))))) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y x))))
(-.f64 (.f64 (+.f64 (.f64 (/.f64 1/2 (.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 x 4))) 1) (/.f64 (pow.f64 (.f64 (/.f64 -1 y) (neg.f64 x)) x) x)) (.f64 (/.f64 x y) (pow.f64 (.f64 (/.f64 -1 y) (neg.f64 x)) x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/6 (.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 6 (pow.f64 x 3)) (.f64 -6 (pow.f64 x 3)))) x)))) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))) (.f64 (pow.f64 y 3) x))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x) y)) (/.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (.f64 1/2 (pow.f64 x 4)))) (.f64 (pow.f64 y 2) x)))))
(fma.f64 -1 (.f64 (/.f64 (fma.f64 1/2 (.f64 (pow.f64 x 3) (.f64 (.f64 x x) 1)) (.f64 1/6 (+.f64 (pow.f64 x 6) (.f64 x (fma.f64 2 (pow.f64 x 3) (.f64 (pow.f64 x 3) 0)))))) (pow.f64 y 3)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)) (+.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y x)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 (.f64 x (.f64 y y)) (.f64 1/2 (+.f64 (.f64 x (.f64 (*.f64 x x) 1)) (pow.f64 x 4))))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (.f64 y y)) (/.f64 1/2 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 4))))) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (/.f64 y x)))) (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x) (/.f64 (fma.f64 1/2 (.f64 x (pow.f64 x 4)) (.f64 1/6 (+.f64 (pow.f64 x 6) (.f64 x (*.f64 2 (pow.f64 x 3)))))) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 -1 y) (neg.f64 x)) x) x) (.f64 (/.f64 x y) (pow.f64 (.f64 (/.f64 -1 y) (neg.f64 x)) x))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 -1 y) (neg.f64 x)) x) x) (+.f64 (.f64 (/.f64 1/2 (.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 x 4))) (/.f64 (neg.f64 (fma.f64 1/6 (.f64 x (+.f64 (pow.f64 x 5) (.f64 2 (pow.f64 x 3)))) (.f64 1/2 (pow.f64 x 5)))) (pow.f64 y 3)))))

eval94.0ms (1%)

Compiler: Compiled 5638 to 3191 computations (43.4% saved)

prune78.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	208	6	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	6	215

Error

0.0b

Counts

215 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.3b	(-.f64 (/.f64 1 x) (/.f64 y x))
▶	36.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
▶	7.7b	(/.f64 1 x)
▶	17.3b	(/.f64 (-.f64 1 y) x)
	9.3b	(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)) 3)
▶	10.3b	(/.f64 (exp.f64 (neg.f64 y)) x)

Compiler

Compiled 102 to 68 computations (33.3% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 y) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`pow1_binary64`
706×	`add-log-exp_binary64`
706×	`log1p-expm1-u_binary64`
706×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1797	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 (-.f64 1 y) x)

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

Outputs

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

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

202×	`fma-def_binary64`
125×	`fma-neg_binary64`
44×	`cancel-sign-sub-inv_binary64`
31×	`distribute-rgt-in_binary64`
26×	`unsub-neg_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	9	124
1	16	106
2	25	106
3	35	106
4	48	106
5	74	106
6	130	106
7	253	106
8	494	79
9	732	79
10	829	79
11	895	79

Stop Event

1×

saturated

Counts

45 → 38

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))

Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 1 y) x)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (/.f64 y x))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

949×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	158	7
2	2402	7

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(-.f64 (/.f64 1 x) (/.f64 y x))

Outputs

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

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

135×	`fma-def_binary64`
118×	`fma-neg_binary64`
27×	`div-sub_binary64`
25×	`cancel-sign-sub-inv_binary64`
21×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	163
1	25	163
2	35	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	526	163
9	671	163
10	717	163

Stop Event

1×

saturated

Counts

80 → 61

Calls

Call 1

Inputs
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))

Outputs
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (exp.f64 (neg.f64 y)) x)
1.0ms	y	@	0	(/.f64 (exp.f64 (neg.f64 y)) x)
1.0ms	x	@	0	(/.f64 (exp.f64 (neg.f64 y)) x)
1.0ms	y	@	-inf	(/.f64 (exp.f64 (neg.f64 y)) x)
1.0ms	y	@	inf	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite102.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`pow1_binary64`
514×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	6
2	1660	6

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 (exp.f64 (neg.f64 y)) x)

Outputs

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1034×	`fma-neg_binary64`
799×	`distribute-rgt-neg-in_binary64`
762×	`distribute-lft-neg-in_binary64`
556×	`unswap-sqr_binary64`
433×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	103
1	64	98
2	143	96
3	354	96
4	963	93
5	4405	89

Stop Event

1×	node limit

Counts

38 → 39

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y x))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (/.f64 y x)) (*.f64 -1/6 (/.f64 (pow.f64 y 3) x)))))
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)

Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y x))))
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x))))
(-.f64 (fma.f64 1/2 (/.f64 y (/.f64 x y)) (/.f64 1 x)) (/.f64 y x))
(-.f64 (fma.f64 1/2 (*.f64 y (/.f64 y x)) (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y x) (+.f64 -1 (.f64 y 1/2))))
(fma.f64 (/.f64 y x) (+.f64 -1 (*.f64 y 1/2)) (/.f64 1 x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (/.f64 y x)) (*.f64 -1/6 (/.f64 (pow.f64 y 3) x)))))
(fma.f64 1/2 (/.f64 (.f64 y y) x) (+.f64 (/.f64 1 x) (fma.f64 -1 (/.f64 y x) (.f64 -1/6 (/.f64 (pow.f64 y 3) x)))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 y (/.f64 x y)) (/.f64 1 x)) (/.f64 y x)) (*.f64 -1/6 (/.f64 (pow.f64 y 3) x)))
(fma.f64 1/2 (/.f64 y (/.f64 x y)) (-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 y 3) x) (/.f64 1 x)) (/.f64 y x)))
(-.f64 (fma.f64 1/2 (*.f64 y (/.f64 y x)) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) x) (/.f64 1 x))) (/.f64 y x))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 1/2 (*.f64 y -1/6))) (/.f64 y x)))
(fma.f64 (.f64 y (/.f64 y x)) (+.f64 1/2 (.f64 y -1/6)) (-.f64 (/.f64 1 x) (/.f64 y x)))
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (neg.f64 y)) x)

localize34.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	3.9b	(pow.f64 (/.f64 x y) x)

Compiler

Compiled 19 to 5 computations (73.7% saved)

series112.0ms (1.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
59.0ms	y	@	0	(pow.f64 (/.f64 x y) x)
27.0ms	y	@	-inf	(pow.f64 (/.f64 x y) x)
13.0ms	y	@	inf	(pow.f64 (/.f64 x y) x)
4.0ms	x	@	inf	(pow.f64 (/.f64 x y) x)
2.0ms	y	@	inf	(/.f64 (pow.f64 (/.f64 x y) x) x)

rewrite87.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
711×	`add-log-exp_binary64`
711×	`log1p-expm1-u_binary64`
711×	`expm1-log1p-u_binary64`
693×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	134	17
2	1888	17

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(pow.f64 (/.f64 x y) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)

Outputs

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

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

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Rules

826×	`unsub-neg_binary64`
548×	`fma-neg_binary64`
506×	`associate-+l+_binary64`
433×	`associate-+r+_binary64`
341×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	562
1	147	521
2	422	513
3	2214	510
4	6211	507

Stop Event

1×	node limit

Counts

95 → 71

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) (pow.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))
(/.f64 1 x)
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (.f64 1/2 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (.f64 1/2 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x))))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)

Outputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))))
(fma.f64 x (log.f64 (/.f64 x y)) 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (.f64 1/2 (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) (*.f64 x x)))))
(+.f64 1 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x x)) (*.f64 x (log.f64 (/.f64 x y)))))
(fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x (.f64 x 1/2)) (fma.f64 x (log.f64 (/.f64 x y)) 1))
(fma.f64 x (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x (.f64 x 1/2)) 1))
(+.f64 1 (.f64 x (fma.f64 x (.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (log.f64 (/.f64 x y)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) (pow.f64 x 2))))))
(fma.f64 1/6 (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) x (.f64 1/2 (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) (.f64 x x))))))
(+.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x x)) (.f64 x (log.f64 (/.f64 x y)))) (fma.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3)) 1))
(fma.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x (*.f64 x 1/2)) (fma.f64 x (log.f64 (/.f64 x y)) 1)))
(fma.f64 1/6 (pow.f64 (.f64 x (log.f64 (/.f64 x y))) 3) (fma.f64 x (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x (*.f64 x 1/2)) 1)))
(+.f64 1 (fma.f64 1/6 (pow.f64 (.f64 x (log.f64 (/.f64 x y))) 3) (.f64 x (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (log.f64 (/.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))
(pow.f64 (/.f64 x y) x)
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))
(pow.f64 (/.f64 x y) x)
(/.f64 1 x)
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 x) (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (log.f64 (/.f64 y x)))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (.f64 1/2 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)))))
(+.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (.f64 1/2 (.f64 x (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2))))))
(+.f64 (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)) (.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x 1/2)))
(+.f64 (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x 1/2) (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 x y)) (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 x)))
(fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x 1/2) (-.f64 (/.f64 1 x) (log.f64 (/.f64 y x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (.f64 1/2 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x))))))
(fma.f64 1/6 (.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (.f64 1/2 (.f64 x (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2)))))))
(fma.f64 1/6 (.f64 (.f64 x x) (pow.f64 (log.f64 (/.f64 x y)) 3)) (+.f64 (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)) (.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x 1/2))))
(fma.f64 (.f64 x x) (.f64 1/6 (pow.f64 (log.f64 (/.f64 x y)) 3)) (+.f64 (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x 1/2) (/.f64 1 x))))
(fma.f64 x (.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (.f64 x 1/6)) (+.f64 (log.f64 (/.f64 x y)) (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 x))))
(fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (-.f64 (.f64 x 1/2) (.f64 (log.f64 (/.f64 y x)) (.f64 x (.f64 x 1/6)))) (-.f64 (/.f64 1 x) (log.f64 (/.f64 y x))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)

eval89.0ms (1%)

Compiler: Compiled 2454 to 1222 computations (50.2% saved)

prune72.0ms (0.8%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	204	5	209
Fresh	1	0	1
Picked	0	1	1
Done	0	4	4
Total	205	10	215

Error

Counts

215 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.8b	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
✓	17.3b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	36.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	10.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	36.0b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
✓	7.7b	(/.f64 1 x)
▶	36.5b	(/.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1) x)
✓	17.3b	(/.f64 (-.f64 1 y) x)
▶	18.3b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
▶	10.3b	(pow.f64 (*.f64 x (exp.f64 y)) -1)

Compiler

Compiled 143 to 101 computations (29.4% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (*.f64 x (exp.f64 y)) -1)
✓	0.0b	(*.f64 x (exp.f64 y))

Compiler

Compiled 17 to 7 computations (58.8% saved)

series14.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f64 (*.f64 x (exp.f64 y)) -1)
1.0ms	y	@	-inf	(pow.f64 (*.f64 x (exp.f64 y)) -1)
1.0ms	x	@	-inf	(pow.f64 (*.f64 x (exp.f64 y)) -1)
1.0ms	y	@	inf	(pow.f64 (*.f64 x (exp.f64 y)) -1)
1.0ms	x	@	0	(*.f64 x (exp.f64 y))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
580×	`add-log-exp_binary64`
580×	`log1p-expm1-u_binary64`
580×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	139	15
2	1609	15

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(*.f64 x (exp.f64 y))
(pow.f64 (*.f64 x (exp.f64 y)) -1)

Outputs

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

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1022×	`fma-neg_binary64`
507×	`distribute-rgt-neg-in_binary64`
503×	`fma-def_binary64`
334×	`times-frac_binary64`
332×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	417
1	103	392
2	254	385
3	704	381
4	2260	378
5	5489	374

Stop Event

1×	node limit

Counts

82 → 51

Calls

Call 1

Inputs
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
x
(+.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/6 (*.f64 (pow.f64 y 3) x)) x)))
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y x))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (/.f64 y x)) (*.f64 -1/6 (/.f64 (pow.f64 y 3) x)))))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 1 (*.f64 (exp.f64 y) x))

Outputs
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(+.f64 (.f64 y x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y x (fma.f64 1/2 (.f64 x (.f64 y y)) x))
(fma.f64 x (+.f64 y (.f64 1/2 (.f64 y y))) x)
(fma.f64 x (*.f64 y (fma.f64 y 1/2 1)) x)
(+.f64 (.f64 y x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/6 (*.f64 (pow.f64 y 3) x)) x)))
(fma.f64 y x (fma.f64 1/2 (.f64 x (.f64 y y)) (fma.f64 1/6 (*.f64 x (pow.f64 y 3)) x)))
(fma.f64 y x (fma.f64 x (.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/6))) x))
(fma.f64 x (fma.f64 (fma.f64 y 1/2 1) y (*.f64 1/6 (pow.f64 y 3))) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(*.f64 (exp.f64 y) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y x))))
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) x) (/.f64 1 x)) (/.f64 y x))
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (-.f64 (/.f64 1 x) (/.f64 y x)))
(-.f64 (fma.f64 1/2 (/.f64 y (/.f64 x y)) (/.f64 1 x)) (/.f64 y x))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y x) (+.f64 -1 (.f64 y 1/2))))
(fma.f64 (/.f64 y x) (+.f64 -1 (*.f64 y 1/2)) (/.f64 1 x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (/.f64 y x)) (*.f64 -1/6 (/.f64 (pow.f64 y 3) x)))))
(fma.f64 1/2 (/.f64 (.f64 y y) x) (+.f64 (/.f64 1 x) (fma.f64 -1 (/.f64 y x) (.f64 -1/6 (/.f64 (pow.f64 y 3) x)))))
(+.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 y 3) x)) (/.f64 y x)) (fma.f64 1/2 (/.f64 (.f64 y y) x) (/.f64 1 x)))
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) x) (-.f64 (/.f64 1 x) (/.f64 y x))))
(-.f64 (fma.f64 1/2 (/.f64 y (/.f64 x y)) (fma.f64 (/.f64 -1/6 x) (pow.f64 y 3) (/.f64 1 x))) (/.f64 y x))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 (.f64 y y) x) (+.f64 1/2 (*.f64 y -1/6))) (/.f64 y x)))
(fma.f64 (/.f64 (.f64 y y) x) (+.f64 1/2 (.f64 y -1/6)) (-.f64 (/.f64 1 x) (/.f64 y x)))
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 (*.f64 (exp.f64 y) x))
(/.f64 (exp.f64 (neg.f64 y)) x)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (-.f64 1 y) x))
	0.0b	(/.f64 (-.f64 1 y) x)
✓	2.2b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)

Compiler

Compiled 29 to 20 computations (31% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
0.0ms	y	@	0	(+.f64 1 (/.f64 (-.f64 1 y) x))
0.0ms	y	@	inf	(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
0.0ms	x	@	0	(+.f64 1 (/.f64 (-.f64 1 y) x))
0.0ms	y	@	inf	(+.f64 1 (/.f64 (-.f64 1 y) x))

rewrite156.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`prod-diff_binary64`
440×	`fma-def_binary64`
412×	`log-prod_binary64`
246×	`pow-prod-down_binary64`
234×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	191	17
2	2951	17

Stop Event

1×	node limit

Counts

2 → 212

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
(+.f64 1 (/.f64 (-.f64 1 y) x))

Outputs

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

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

236×	`fma-neg_binary64`
200×	`fma-def_binary64`
66×	`cancel-sign-sub-inv_binary64`
38×	`sub-neg_binary64`
37×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	481
1	29	371
2	47	371
3	76	371
4	113	371
5	179	371
6	308	371
7	528	371
8	864	371
9	1082	371
10	1145	371
11	1146	371

Stop Event

1×

saturated

Counts

260 → 220

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(/.f64 (-.f64 1 y) x)
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
1
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
1
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))

Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
1
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
1
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 y x))
(+.f64 1 (/.f64 (-.f64 1 y) x))
(-.f64 1 (/.f64 (+.f64 -1 y) x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 x y))
✓	31.4b	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))

Compiler

Compiled 24 to 6 computations (75% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
1.0ms	x	@	0	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
1.0ms	y	@	0	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
1.0ms	y	@	-inf	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
0.0ms	y	@	inf	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))

rewrite167.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`prod-diff_binary64`
480×	`log-prod_binary64`
300×	`pow-prod-down_binary64`
276×	`fma-def_binary64`
229×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	164	20
2	2618	17

Stop Event

1×	node limit

Counts

2 → 367

Calls

Call 1

Inputs
(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
(-.f64 x (*.f64 x y))

Outputs

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simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

373×	`fma-def_binary64`
273×	`fma-neg_binary64`
184×	`times-frac_binary64`
152×	`div-sub_binary64`
95×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	323
1	38	323
2	67	323
3	115	323
4	195	323
5	330	323
6	610	323
7	1099	323
8	1705	323
9	1951	323
10	1963	323
11	1967	323
12	1987	323
13	1987	323

Stop Event

1×

saturated

Counts

415 → 381

Calls

Call 1

Inputs
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))

Outputs
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (+.f64 1 (*.f64 -1 y)) x)
(/.f64 (-.f64 1 y) x)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(neg.f64 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(neg.f64 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 y x))

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1) x)
✓	0.0b	(+.f64 1 (pow.f64 (/.f64 x y) x))
✓	0.0b	(-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1)
	3.9b	(pow.f64 (/.f64 x y) x)

Compiler

Compiled 40 to 16 computations (60% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1)
0.0ms	x	@	0	(+.f64 1 (pow.f64 (/.f64 x y) x))
0.0ms	x	@	0	(/.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1) x)
0.0ms	y	@	0	(+.f64 1 (pow.f64 (/.f64 x y) x))
0.0ms	y	@	-inf	(+.f64 1 (pow.f64 (/.f64 x y) x))

rewrite98.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`log-prod_binary64`
430×	`prod-diff_binary64`
302×	`fma-def_binary64`
259×	`pow2_binary64`
213×	`pow-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	212	27
2	3277	27

Stop Event

1×	node limit

Counts

3 → 244

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1)
(+.f64 1 (pow.f64 (/.f64 x y) x))
(/.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 (/.f64 x y) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (pow.f64 (/.f64 x y) x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 x y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (/.f64 x y) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x y) x)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) (cbrt.f64 (pow.f64 (/.f64 x y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x y) (+.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 (/.f64 x y) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 2) (+.f64 (pow.f64 (/.f64 x y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 (/.f64 x y) x)))) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) (sqrt.f64 (pow.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x x) (pow.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) (*.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) x) (pow.f64 (sqrt.f64 (/.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 x y) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 2) (+.f64 (pow.f64 (/.f64 x y) x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 (/.f64 x y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 (/.f64 x y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 (/.f64 x y) x)))) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 2) (+.f64 (pow.f64 (/.f64 x y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 (/.f64 x y) x)))) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 (/.f64 x y) x)))) (+.f64 (pow.f64 (/.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 (/.f64 x y) x))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 2) (+.f64 (pow.f64 (/.f64 x y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 (/.f64 x y) x))))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) x) -1) 2) (+.f64 (pow.f64 (/.f64 x y) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 x y) x) -1) 2)) (-.f64 1 (+.f64 (pow.f64 (/.f64 x y) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 x y) (exp.f64 (log1p.f64 x))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) (fma.f64 x 1/2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) (*.f64 2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) (*.f64 (*.f64 x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) (*.f64 1 (fma.f64 x 1/2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) (*.f64 1 (*.f64 2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) (*.f64 (fma.f64 x 1/2 (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) (*.f64 (*.f64 2 (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) (*.f64 (*.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) (*.f64 1/3 (fma.f64 x 1/2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) (*.f64 1/3 (*.f64 2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) (*.f64 3 (fma.f64 x 1/2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) (*.f64 3 (*.f64 2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) (*.f64 2 (fma.f64 x 1/2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) (*.f64 2 (*.f64 2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) (*.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) (*.f64 -1 (fma.f64 x 1/2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) (*.f64 -1 (*.f64 2 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (/.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 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simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

696×	`unsub-neg_binary64`
635×	`associate-+l+_binary64`
548×	`fma-neg_binary64`
355×	`*-commutative_binary64`
255×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	871
1	165	810
2	465	798
3	2398	792
4	6014	787

Stop Event

1×	node limit

Counts

316 → 279

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x) (.f64 1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) (pow.f64 x 2)))))
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(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x))
2
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(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)

Outputs
1
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x))
(+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x))))
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(pow.f64 (/.f64 x y) x)
2
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(+.f64 (.f64 1/6 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (.f64 1/2 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x))))))
(fma.f64 1/6 (.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (.f64 1/2 (.f64 x (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2)))))))
(fma.f64 1/6 (.f64 (.f64 x x) (pow.f64 (log.f64 (/.f64 x y)) 3)) (+.f64 (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)) (.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x 1/2))))
(fma.f64 (.f64 x x) (.f64 1/6 (pow.f64 (log.f64 (/.f64 x y)) 3)) (+.f64 (log.f64 (/.f64 x y)) (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 x))))
(fma.f64 x (.f64 x (.f64 1/6 (pow.f64 (log.f64 (/.f64 x y)) 3))) (+.f64 (log.f64 (/.f64 x y)) (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 x))))
(fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (-.f64 (.f64 x 1/2) (.f64 (.f64 (.f64 x x) 1/6) (log.f64 (/.f64 y x)))) (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 1 y) x)
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
✓	4.4b	(cbrt.f64 (/.f64 (-.f64 1 y) x))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series48.0ms (0.5%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
38.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
1.0ms	y	@	0	(cbrt.f64 (/.f64 (-.f64 1 y) x))
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`pow1_binary64`
869×	`add-log-exp_binary64`
868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
850×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	198	16
2	2296	16

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (-.f64 1 y) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)

Outputs

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

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

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-def_binary64`
639×	`unswap-sqr_binary64`
331×	`*-commutative_binary64`
326×	`times-frac_binary64`
288×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	592
1	360	547
2	1296	544
3	4379	540
4	5102	540
5	7529	540

Stop Event

1×	node limit

Counts

91 → 99

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 x) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) y)) (pow.f64 (/.f64 1 x) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) y)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/9) (pow.f64 y 2))) (pow.f64 (/.f64 1 x) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) y)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/9) (pow.f64 y 2))) (+.f64 (pow.f64 (/.f64 1 x) 1/3) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3)))))))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 x))
(+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)) (.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)))) (.f64 (pow.f64 1 1/3) (/.f64 1 x)))
(+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)) (.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9)))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9)) (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))) (.f64 (pow.f64 1 1/3) (/.f64 1 x))))
(+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)) (.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9)))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9)) (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3)))))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9))))) (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (pow.f64 x 2)))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3))) (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3))))))))))) (*.f64 (pow.f64 1 1/3) (/.f64 1 x)))))

Outputs
(pow.f64 (/.f64 1 x) 1/3)
(cbrt.f64 (/.f64 1 x))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) y)) (pow.f64 (/.f64 1 x) 1/3))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) y) (cbrt.f64 (/.f64 1 x)))
(fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (.f64 -1/3 y) (cbrt.f64 (/.f64 1 x)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) y)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/9) (pow.f64 y 2))) (pow.f64 (/.f64 1 x) 1/3)))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) y) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18)) (*.f64 y y)) (cbrt.f64 (/.f64 1 x))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) y) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18) (.f64 (*.f64 y y) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18))) (cbrt.f64 (/.f64 1 x))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) y) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18)) (.f64 -1/9 (*.f64 y y)) (cbrt.f64 (/.f64 1 x))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) y)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/9) (pow.f64 y 2))) (+.f64 (pow.f64 (/.f64 1 x) 1/3) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3)))))))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) y) (+.f64 (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18)) (.f64 y y)) (cbrt.f64 (/.f64 1 x))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 (.f64 x x)) (pow.f64 y 3)) (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 2/9 (cbrt.f64 (/.f64 1 (pow.f64 x 7)))))))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) y) (fma.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18))) (.f64 y y) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 5/27) (.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y 3))) (cbrt.f64 (/.f64 1 x)))))
(fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (.f64 -1/3 y) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18) (.f64 (.f64 y y) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18))) (fma.f64 (.f64 (cbrt.f64 (.f64 x x)) (pow.f64 y 3)) (.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 5/27)) (cbrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) y) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 (pow.f64 y 3) 5/27)) (.f64 -1/3 (cbrt.f64 (.f64 x x))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/18)) (.f64 -1/9 (*.f64 y y)) (cbrt.f64 (/.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)) (.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)))) (.f64 (pow.f64 1 1/3) (/.f64 1 x)))
(fma.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)) -1) (/.f64 1 x))
(fma.f64 y (neg.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18))) (/.f64 1 x))
(-.f64 (/.f64 1 x) (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18))))
(+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)) (.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9)))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9)) (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))) (.f64 (pow.f64 1 1/3) (/.f64 1 x))))
(fma.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)) -1) (fma.f64 (.f64 y y) (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)) -1/9) (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) 1/9)) (/.f64 1 x)))
(fma.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)) -1) (fma.f64 (.f64 y y) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 x))))) (/.f64 1 x)))
(fma.f64 y (neg.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18))) (fma.f64 (.f64 y y) (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)))) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (.f64 y (-.f64 (.f64 y (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)))))
(+.f64 (/.f64 1 x) (.f64 y (-.f64 (.f64 y (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 x)) -1/9)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)))))
(+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)) (.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/9)))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9)))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9)) (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3)))))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/9))))) (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (pow.f64 x 2)))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3))) (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/3))))))))))) (*.f64 (pow.f64 1 1/3) (/.f64 1 x)))))
(fma.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)) -1) (fma.f64 (.f64 y y) (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)) -1/9) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) 1/9)) (fma.f64 (pow.f64 y 3) (+.f64 (+.f64 (.f64 -1/3 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 2/9 (cbrt.f64 (/.f64 1 (pow.f64 x 7)))))) (.f64 2/27 (cbrt.f64 (/.f64 1 (pow.f64 x 7))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)) -1/9)) (.f64 (cbrt.f64 (/.f64 1 x)) (fma.f64 2/27 (/.f64 1 (.f64 x x)) (.f64 -2/3 (.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 2/9 (cbrt.f64 (/.f64 1 (pow.f64 x 7))))) (cbrt.f64 x))))))) (/.f64 1 x))))
(fma.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)) -1) (fma.f64 (.f64 y y) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)) (.f64 -1/9 (cbrt.f64 (/.f64 1 x))))) (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 5/27) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 2/27 (fma.f64 (cbrt.f64 (/.f64 1 x)) (fma.f64 -2/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 5/27) (cbrt.f64 x)) (/.f64 2/27 (.f64 x x))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))))))) (/.f64 1 x))))
(fma.f64 y (neg.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18))) (fma.f64 y (.f64 y (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))))) (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 5/27) (fma.f64 (cbrt.f64 (/.f64 1 x)) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 5/27) (.f64 -2/3 (cbrt.f64 x)) (/.f64 2/27 (.f64 x x))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 2/27)))) (/.f64 1 x))))
(+.f64 (fma.f64 (pow.f64 y 3) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 2/27 (+.f64 (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (.f64 -1/3 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 2/27 (.f64 x x)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 5/27) (+.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 -2/3 (cbrt.f64 x))) -1/3)))) (/.f64 1 x)) (.f64 y (-.f64 (.f64 y (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)))))
(+.f64 (fma.f64 (pow.f64 y 3) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 2/27 (+.f64 (fma.f64 -1/3 (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 2/27 (.f64 x x)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) 5/27) (+.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 -2/3 (cbrt.f64 x))) -1/3)))) (/.f64 1 x)) (.f64 y (-.f64 (.f64 y (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 x)) -1/9)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)))))

eval469.0ms (5.1%)

Compiler: Compiled 25845 to 12510 computations (51.6% saved)

prune168.0ms (1.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1132	2	1134
Fresh	0	0	0
Picked	0	1	1
Done	2	7	9
Total	1134	10	1144

Error

Counts

1144 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.8b	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
✓	17.3b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	36.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	7.7b	(/.f64 1 x)
▶	15.6b	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
✓	36.5b	(/.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1) x)
✓	17.3b	(/.f64 (-.f64 1 y) x)
✓	18.3b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
✓	10.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	54.6b	(-.f64 1 1)

Compiler

Compiled 89 to 62 computations (30.3% saved)

localize9.0ms (0.1%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 1 y))
✓	7.7b	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
1.0ms	x	@	0	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
1.0ms	x	@	inf	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
1.0ms	y	@	inf	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
1.0ms	y	@	-inf	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`prod-diff_binary64`
542×	`log-prod_binary64`
270×	`pow2_binary64`
265×	`fma-def_binary64`
188×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	207	14
2	3161	12

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
(*.f64 x (+.f64 1 y))

Outputs

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

716×	`times-frac_binary64`
586×	`fma-neg_binary64`
572×	`fma-def_binary64`
390×	`div-sub_binary64`
364×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	382
1	41	340
2	85	340
3	180	340
4	655	340
5	3691	319
6	6038	319

Stop Event

1×	node limit

Counts

209 → 171

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
(*.f64 (+.f64 1 y) x)
x
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) x)

Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (+.f64 1 y) x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 1 x) (/.f64 y x))
(neg.f64 (/.f64 (+.f64 -1 y) x))
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 (+.f64 1 y) x)
(fma.f64 y x x)
(fma.f64 x y x)
x
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(fma.f64 x y x)

eval62.0ms (0.7%)

Compiler: Compiled 4500 to 1973 computations (56.2% saved)

prune28.0ms (0.3%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	171	10	181

Error

Counts

181 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.8b	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
✓	17.3b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	36.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	7.7b	(/.f64 1 x)
✓	15.6b	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
✓	36.5b	(/.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1) x)
✓	17.3b	(/.f64 (-.f64 1 y) x)
✓	18.3b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
✓	10.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	54.6b	(-.f64 1 1)

Compiler

Compiled 89 to 62 computations (30.3% saved)

regimes94.0ms (1%)

Counts

15 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 1 x)
(/.f64 (-.f64 1 y) x)
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1) x)
(pow.f64 (*.f64 x (exp.f64 y)) -1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 3)
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)) 3)

Outputs
(pow.f64 (*.f64 x (exp.f64 y)) -1)
(/.f64 1 x)
(/.f64 (exp.f64 (neg.f64 y)) x)

Calls

4 calls:

24.0ms	x
21.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
21.0ms	y
21.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)

Results

Error	Segments	Branch
0.3b	3	`x`
3.8b	2	`y`
2.0b	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`
2.0b	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 150 to 84 computations (44% saved)

bsearch226.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
105.0ms	4.572600108664256e-14	1.9684724865404322e-13
121.0ms	-4.320854291107597e+135	-9.000843273406155e+133

Compiler

Compiled 207 to 162 computations (21.7% saved)

regimes41.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 1 x)
(/.f64 (-.f64 1 y) x)
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
(/.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 x y) x)) 1) x)

Outputs
(/.f64 (exp.f64 (neg.f64 y)) x)
(/.f64 1 x)
(/.f64 (exp.f64 (neg.f64 y)) x)

Calls

2 calls:

19.0ms	y
18.0ms	x

Results

Error	Segments	Branch
0.3b	3	`x`
3.8b	2	`y`

Compiler

Compiled 87 to 51 computations (41.4% saved)

bsearch224.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
103.0ms	4.572600108664256e-14	1.9684724865404322e-13
120.0ms	-4.320854291107597e+135	-9.000843273406155e+133

Compiler

Compiled 200 to 155 computations (22.5% saved)

regimes26.0ms (0.3%)

Accuracy

Total -58.4b remaining (-1554.3%)

Threshold costs -58.4b (-1554.3%)

Counts

7 → 2

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 1 x)
(/.f64 (-.f64 1 y) x)
(-.f64 (/.f64 1 x) (/.f64 y x))
(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))

Outputs
(/.f64 1 x)
(-.f64 1 1)

Calls

2 calls:

14.0ms	y
10.0ms	x

Results

Error	Segments	Branch
6.5b	2	`x`
3.8b	2	`y`

Compiler

Compiled 55 to 36 computations (34.5% saved)

bsearch44.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
44.0ms	5.884102086987663e+39	1.0539181584494816e+40

Compiler

Compiled 66 to 56 computations (15.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	77
1	29	77
2	31	77
3	32	77

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -91999999999999996004159705305679106876844806186899507496157343202389828517371694190838208206984975560862106901383107146168791302406144) (pow.f64 (*.f64 x (exp.f64 y)) -1) (if (<=.f64 x 7724745845140773/39614081257132168796771975168) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x -91999999999999996004159705305679106876844806186899507496157343202389828517371694190838208206984975560862106901383107146168791302406144) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 7724745845140773/39614081257132168796771975168) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 5999999999999999940486453133276365193216) (/.f64 1 x) (-.f64 1 1))
(-.f64 1 1)

Outputs
(if (<=.f64 x -91999999999999996004159705305679106876844806186899507496157343202389828517371694190838208206984975560862106901383107146168791302406144) (pow.f64 (*.f64 x (exp.f64 y)) -1) (if (<=.f64 x 7724745845140773/39614081257132168796771975168) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x -91999999999999996004159705305679106876844806186899507496157343202389828517371694190838208206984975560862106901383107146168791302406144) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 7724745845140773/39614081257132168796771975168) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 5999999999999999940486453133276365193216) (/.f64 1 x) (-.f64 1 1))
(if (<=.f64 y 5999999999999999940486453133276365193216) (/.f64 1 x) 0)
(-.f64 1 1)
0

Compiler

Compiled 60 to 41 computations (31.7% saved)

soundness422.0ms (4.6%)

Algorithm

5×	egg-herbie

Rules

702×	`associate-/l*_binary64`
702×	`associate-/l*_binary64`
586×	`associate-/r*_binary64`
586×	`associate-/r*_binary64`
522×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	13
2	25	13
3	54	13
4	133	13
5	327	13
6	878	13
7	3321	13
8	6606	13
0	286	3273
1	953	2761
2	3930	2296
0	9	17
1	16	13
2	25	13
3	54	13
4	133	13
5	327	13
6	878	13
7	3321	13
8	6606	13
0	9	17
1	16	13
2	25	13
3	54	13
4	133	13
5	327	13
6	878	13
7	3321	13
8	6606	13
0	286	3273
1	953	2761
2	3930	2296

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 141 to 88 computations (37.6% saved)

end58.0ms (0.6%)

Compiler: Compiled 54 to 32 computations (40.7% saved)

Iter	Nodes	Cost
0	9	124
1	16	106
2	25	106
3	35	106
4	48	106
5	74	106
6	130	106
7	253	106
8	494	79
9	732	79
10	829	79
11	895	79

Iter	Nodes	Cost
0	14	163
1	25	163
2	35	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	526	163
9	671	163
10	717	163

Iter	Nodes	Cost
0	9	124
1	16	106
2	25	106
3	35	106
4	48	106
5	74	106
6	130	106
7	253	106
8	494	79
9	732	79
10	829	79
11	895	79

Iter	Nodes	Cost
0	14	163
1	25	163
2	35	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	526	163
9	671	163
10	717	163

Details

analyze306.0ms (3.3%)

sample4.2s (45.4%)

preprocess72.0ms (0.8%)

simplify56.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series28.0ms (0.3%)

rewrite121.0ms (1.3%)

simplify149.0ms (1.6%)

eval94.0ms (1%)

prune78.0ms (0.9%)

localize3.0ms (0%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite61.0ms (0.7%)

simplify38.0ms (0.4%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite60.0ms (0.7%)

simplify32.0ms (0.3%)

localize7.0ms (0.1%)

series4.0ms (0%)

rewrite102.0ms (1.1%)

simplify72.0ms (0.8%)

localize34.0ms (0.4%)

series112.0ms (1.2%)

rewrite87.0ms (1%)

simplify89.0ms (1%)

eval89.0ms (1%)

prune72.0ms (0.8%)

localize16.0ms (0.2%)

series14.0ms (0.2%)

rewrite75.0ms (0.8%)

simplify72.0ms (0.8%)

localize14.0ms (0.2%)

series4.0ms (0%)

rewrite156.0ms (1.7%)

simplify56.0ms (0.6%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite167.0ms (1.8%)

simplify100.0ms (1.1%)

localize36.0ms (0.4%)

series6.0ms (0.1%)

rewrite98.0ms (1.1%)

simplify79.0ms (0.9%)

localize15.0ms (0.2%)

series48.0ms (0.5%)

rewrite70.0ms (0.8%)

simplify116.0ms (1.3%)

eval469.0ms (5.1%)

prune168.0ms (1.8%)

localize9.0ms (0.1%)

localize12.0ms (0.1%)

series8.0ms (0.1%)

rewrite91.0ms (1%)

simplify61.0ms (0.7%)

eval62.0ms (0.7%)

prune28.0ms (0.3%)

regimes94.0ms (1%)

bsearch226.0ms (2.5%)

regimes41.0ms (0.4%)

bsearch224.0ms (2.4%)

regimes26.0ms (0.3%)

bsearch44.0ms (0.5%)

simplify8.0ms (0.1%)

soundness422.0ms (4.6%)

end58.0ms (0.6%)

Profiling

Iter	Nodes	Cost
0	9	124
1	16	106
2	25	106
3	35	106
4	48	106
5	74	106
6	130	106
7	253	106
8	494	79
9	732	79
10	829	79
11	895	79

Iter	Nodes	Cost
0	14	163
1	25	163
2	35	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	526	163
9	671	163
10	717	163