Details

analyze314.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
3.1%	93.7%	3.2%	6
4.7%	89%	6.3%	7
19.5%	68.7%	11.8%	8
22.6%	61.3%	16.1%	9
26.5%	54%	19.4%	10
28.3%	49.9%	21.9%	11
30.4%	45.9%	23.7%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample3.3s (34.2%)

Results

1.3s	1794×	body	1024	valid
1.0s	5276×	body	256	valid
434.0ms	1027×	body	512	valid
179.0ms	940×	body	256	invalid
169.0ms	159×	body	2048	valid
104.0ms	180×	body	1024	invalid
80.0ms	237×	body	512	invalid

preprocess56.0ms (0.6%)

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)

simplify85.0ms (0.9%)

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

11.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.5b	(/.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))
✓	6.8b	(pow.f64 (/.f64 x (+.f64 x y)) x)

Compiler

Compiled 28 to 6 computations (78.6% saved)

series24.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite85.0ms (0.9%)

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))))))

simplify131.0ms (1.4%)

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)))))

eval154.0ms (1.6%)

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

prune90.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	207	7	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	208	7	215

Error

0.0b

Counts

215 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.1b	(-.f64 (/.f64 1 x) (/.f64 y x))
▶	39.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
	49.4b	(+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (log.f64 y)))
▶	8.7b	(/.f64 1 x)
▶	19.1b	(/.f64 (-.f64 1 y) x)
	11.5b	(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 1 x))
▶	11.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

Compiler

Compiled 122 to 82 computations (32.8% saved)

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (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))

rewrite66.0ms (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))))))

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))))))

simplify57.0ms (0.6%)

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)

localize6.0ms (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)
0.0ms	y	@	inf	(/.f64 (exp.f64 (neg.f64 y)) x)
0.0ms	y	@	-inf	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite54.0ms (0.6%)

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)))))))

simplify49.0ms (0.5%)

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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	5.6b	(pow.f64 (/.f64 x y) x)

Compiler

Compiled 19 to 5 computations (73.7% saved)

series118.0ms (1.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	y	@	0	(pow.f64 (/.f64 x y) x)
46.0ms	y	@	-inf	(pow.f64 (/.f64 x y) x)
14.0ms	y	@	inf	(pow.f64 (/.f64 x y) x)
1.0ms	x	@	-inf	(/.f64 (pow.f64 (/.f64 x y) x) x)
1.0ms	x	@	0	(/.f64 (pow.f64 (/.f64 x y) x) x)

rewrite85.0ms (0.9%)

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)))))))

simplify81.0ms (0.8%)

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)

eval71.0ms (0.7%)

Compiler: Compiled 2092 to 973 computations (53.5% saved)

prune57.0ms (0.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	167	4	171
Fresh	2	0	2
Picked	0	1	1
Done	0	4	4
Total	169	9	178

Error

0.0b

Counts

178 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.0b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	39.5b	(pow.f64 (/.f64 x (pow.f64 (/.f64 x y) x)) -1)
✓	19.1b	(-.f64 (/.f64 1 x) (/.f64 y x))
▶	38.6b	(/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))
✓	39.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
▶	46.4b	(-.f64 (/.f64 1 x) (log.f64 (/.f64 y x)))
✓	8.7b	(/.f64 1 x)
✓	19.1b	(/.f64 (-.f64 1 y) x)
▶	39.3b	(/.f64 (-.f64 x (.f64 x y)) (.f64 x x))

Compiler

Compiled 82 to 51 computations (37.8% saved)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (log.f64 (/.f64 y x)))
✓	15.9b	(log.f64 (/.f64 y x))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series452.0ms (4.7%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
331.0ms	y	@	0	(log.f64 (/.f64 y x))
57.0ms	y	@	-inf	(log.f64 (/.f64 y x))
19.0ms	y	@	inf	(log.f64 (/.f64 y x))
17.0ms	x	@	-inf	(log.f64 (/.f64 y x))
14.0ms	x	@	inf	(log.f64 (/.f64 y x))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`pow1_binary64`
855×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
837×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	2326	18

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify268.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1727×	`fma-neg_binary64`
685×	`associate--r-_binary64`
458×	`associate--r+_binary64`
432×	`associate--l+_binary64`
414×	`associate--l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	604
1	93	510
2	224	506
3	525	506
4	1332	506
5	2846	506
6	3449	506
7	4097	506
8	4246	506
9	4265	506
10	4270	506
11	5797	506
12	5797	506
13	5797	506
14	5797	506

Stop Event

1×	node limit

Counts

109 → 77

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 x y))
✓	27.3b	(/.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))

rewrite175.0ms (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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x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) x)))))

simplify98.0ms (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))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 x y) x)
✓	0.1b	(*.f64 x (/.f64 x y))
✓	25.5b	(/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite116.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`log-prod_binary64`
410×	`exp-prod_binary64`
309×	`pow-prod-down_binary64`
254×	`fma-def_binary64`
238×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	167	30
2	2796	24

Stop Event

1×	node limit

Counts

3 → 236

Calls

Call 1

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

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-def_binary64`
565×	`div-sub_binary64`
457×	`associate-/l*_binary64`
439×	`fma-neg_binary64`
377×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	677
1	60	677
2	131	488
3	364	488
4	1377	488
5	4524	488
6	7915	488

Stop Event

1×	node limit

Counts

308 → 252

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 x (pow.f64 (/.f64 x y) x)) -1)
✓	0.0b	(/.f64 x (pow.f64 (/.f64 x y) x))
	5.6b	(pow.f64 (/.f64 x y) x)

Compiler

Compiled 29 to 8 computations (72.4% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite118.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`pow1_binary64`
849×	`add-log-exp_binary64`
849×	`log1p-expm1-u_binary64`
849×	`expm1-log1p-u_binary64`
827×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	175	20
2	2327	20

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-def_binary64`
579×	`unsub-neg_binary64`
508×	`associate-l_binary64`
451×	`associate-r_binary64`
439×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	814
1	265	652
2	1133	586
3	7691	586

Stop Event

1×	node limit

Counts

119 → 94

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (pow.f64 x 2))) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (.f64 -1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (pow.f64 x 2))) x)))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)))
(/.f64 x (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(/.f64 x (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(/.f64 x (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(/.f64 x (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)))
(/.f64 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 (.f64 -1 (.f64 x (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)))) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x))))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)))) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)))) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)))) (.f64 -1 (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (.f64 -1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3))))))))) (log.f64 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 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) x)
(/.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 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 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
x
(+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) (.f64 x x)) x)
(-.f64 x (.f64 (log.f64 (/.f64 x y)) (.f64 x x)))
(fma.f64 (log.f64 (/.f64 x y)) (*.f64 x (neg.f64 x)) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (pow.f64 x 2))) x))
(fma.f64 -1 (.f64 (pow.f64 x 3) (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) -1/2)) (fma.f64 -1 (.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) (.f64 x x)) x))
(+.f64 x (-.f64 (.f64 (pow.f64 x 3) (.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2))) (.f64 (log.f64 (/.f64 x y)) (.f64 x x))))
(-.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 -1/2 x)) (log.f64 (/.f64 x y)))))
(+.f64 x (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 1/2 x)) (log.f64 (/.f64 x y)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (.f64 -1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (pow.f64 x 2))) x)))
(fma.f64 -1 (.f64 (fma.f64 -1 (.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) -1/2)) (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) -1/3)) (pow.f64 x 4)) (fma.f64 -1 (.f64 (pow.f64 x 3) (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) -1/2)) (fma.f64 -1 (.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) (.f64 x x)) x)))
(+.f64 (-.f64 x (.f64 (log.f64 (/.f64 x y)) (.f64 x x))) (fma.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) -1/3 (.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 3)))) (pow.f64 x 4) (.f64 (pow.f64 x 3) (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)))))
(+.f64 x (fma.f64 (pow.f64 x 4) (.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) -1/6) (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 1/2 x)) (log.f64 (/.f64 x y))))))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)))
(/.f64 x (pow.f64 (/.f64 x y) x))
(/.f64 x (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)))
(/.f64 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 (.f64 x (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)))) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x))))
(fma.f64 -1 (.f64 x (.f64 -1 (+.f64 (*.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) -1/2) (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2)))) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 x) (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)) (.f64 x (.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2))))
(fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)))
(+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)))) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)))) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)))) (.f64 -1 (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 -1 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (.f64 -1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3))))))))) (log.f64 x)))))
(fma.f64 -1 (.f64 x (.f64 -1 (+.f64 (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) -1/2) (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2)))) (+.f64 (+.f64 (neg.f64 (log.f64 y)) (/.f64 1 x)) (fma.f64 -1 (.f64 (.f64 x x) (fma.f64 -1 (.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) -1/2)) (fma.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) (.f64 -1 (+.f64 (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) -1/2) (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2))) (neg.f64 (fma.f64 -1 (.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) -1/2)) (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) -1/3)))))) (log.f64 x))))
(+.f64 (.f64 x (.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2))) (+.f64 (-.f64 (/.f64 1 x) (.f64 (.f64 x x) (+.f64 (.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 3)) (-.f64 (.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) -1/2) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) -1/3 (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 3))))))) (log.f64 (/.f64 x y))))
(fma.f64 x (.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (+.f64 (log.f64 (/.f64 x y)) (fma.f64 (.f64 x x) (*.f64 1/6 (pow.f64 (log.f64 (/.f64 x y)) 3)) (/.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 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 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 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)

eval495.0ms (5.1%)

Compiler: Compiled 19987 to 7207 computations (63.9% saved)

prune179.0ms (1.9%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	828	4	832
Fresh	0	0	0
Picked	1	0	1
Done	1	7	8
Total	830	11	841

Error

0.0b

Counts

841 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.1b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	38.6b	(/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y)))
✓	39.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	46.4b	(-.f64 (/.f64 1 x) (log.f64 (/.f64 y x)))
▶	31.3b	(/.f64 x (*.f64 x x))
✓	8.7b	(/.f64 1 x)
▶	38.7b	(/.f64 (.f64 (-.f64 (/.f64 1 y) 1) x) (.f64 x (/.f64 x y)))
✓	19.1b	(/.f64 (-.f64 1 y) x)
✓	11.0b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	35.9b	(/.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))
▶	39.5b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x y) x)))

Compiler

Compiled 104 to 64 computations (38.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x y) x)))
	0.0b	(/.f64 x (pow.f64 (/.f64 x y) x))
	5.6b	(pow.f64 (/.f64 x y) x)

Compiler

Compiled 29 to 8 computations (72.4% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x y) x)))
0.0ms	x	@	0	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x y) x)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x y) x)))
0.0ms	y	@	-inf	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x y) x)))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x y) x)))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

919×	`pow1_binary64`
853×	`add-log-exp_binary64`
852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
831×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	175	10
2	2366	10

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
661×	`distribute-rgt-in_binary64`
642×	`distribute-lft-in_binary64`
417×	`fma-neg_binary64`
334×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	316
1	111	292
2	308	288
3	1464	288
4	7414	287

Stop Event

1×	node limit

Counts

60 → 48

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	30.6b	(/.f64 x (*.f64 x x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`pow1_binary64`
394×	`add-sqr-sqrt_binary64`
387×	`add-log-exp_binary64`
387×	`log1p-expm1-u_binary64`
387×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	87	4
2	1208	4

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	6	48

Stop Event

1×

saturated

Counts

44 → 33

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (/.f64 x y))
✓	0.1b	(*.f64 (-.f64 (/.f64 1 y) 1) x)
✓	25.5b	(/.f64 (.f64 (-.f64 (/.f64 1 y) 1) x) (.f64 x (/.f64 x y)))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`log-prod_binary64`
293×	`pow2_binary64`
253×	`pow-unpow_binary64`
253×	`log-div_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	226	27
2	3489	22

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

600×	`times-frac_binary64`
500×	`cancel-sign-sub-inv_binary64`
453×	`distribute-lft-out--_binary64`
426×	`fma-def_binary64`
275×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	359
1	31	299
2	51	299
3	89	236
4	138	236
5	282	236
6	767	236
7	3675	236
8	6639	236

Stop Event

1×	node limit

Counts

166 → 141

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (/.f64 x y))
✓	31.2b	(/.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))

Compiler

Compiled 21 to 5 computations (76.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`pow1_binary64`
830×	`add-log-exp_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	135	13
2	2154	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	6	96

Stop Event

1×

saturated

Counts

75 → 52

Calls

Call 1

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

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

eval96.0ms (1%)

Compiler: Compiled 6190 to 2512 computations (59.4% saved)

prune68.0ms (0.7%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	413	4	417
Fresh	0	0	0
Picked	1	0	1
Done	1	9	10
Total	415	13	428

Error

0.0b

Counts

428 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.3b	(/.f64 x (*.f64 x x))
	29.5b	(*.f64 (/.f64 (+.f64 (/.f64 1 y) -1) x) y)
	30.9b	(.f64 (/.f64 y x) (/.f64 x (.f64 x y)))
✓	46.4b	(-.f64 (/.f64 1 x) (log.f64 (/.f64 y x)))
✓	19.1b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	39.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	8.7b	(/.f64 1 x)
✓	38.7b	(/.f64 (.f64 (-.f64 (/.f64 1 y) 1) x) (.f64 x (/.f64 x y)))
✓	19.1b	(/.f64 (-.f64 1 y) x)
✓	11.0b	(/.f64 (exp.f64 (neg.f64 y)) x)
	25.9b	(-.f64 (+.f64 1 (/.f64 1 x)) 1)
	40.6b	(/.f64 (/.f64 x y) (/.f64 1 (/.f64 y (*.f64 x x))))
✓	39.5b	(/.f64 1 (/.f64 x (pow.f64 (/.f64 x y) x)))

Compiler

Compiled 124 to 83 computations (33.1% saved)

regimes114.0ms (1.2%)

Counts

21 → 5

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
33.0ms	y
32.0ms	x

Results

Error	Segments	Branch
0.5b	3	`x`
1.1b	2	`y`
0.3b	5	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 197 to 88 computations (55.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.881702982636374e-114	5.541861748184071e-113
0.0ms	0.0	6.3412524927206765e-298
0.0ms	-1.3504523978129568e-300	-5.457228581030822e-306
0.0ms	-1814.329000143358	-1.7490602837806865e-19

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes61.0ms (0.6%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	y
26.0ms	x

Results

Error	Segments	Branch
0.5b	3	`x`
1.1b	2	`y`

Compiler

Compiled 144 to 65 computations (54.9% saved)

bsearch327.0ms (3.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
241.0ms	0.0006060049970028934	191.40990502684954
85.0ms	-3.289204379974737e+58	-7.175892228635328e+45

Compiler

Compiled 284 to 221 computations (22.2% saved)

regimes25.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
7.0ms	x

Results

Error	Segments	Branch
8.7b	1	`x`
1.1b	2	`y`

Compiler

Compiled 106 to 49 computations (53.8% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	15.48334117113553	13848597.793564651

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes15.0ms (0.2%)

Accuracy

Total -34.3b remaining (-529.5%)

Threshold costs -34.3b (-529.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
4.0ms	x

Results

Error	Segments	Branch
8.7b	1	`x`
6.5b	3	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch277.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
117.0ms	4.550071090714665e+216	3.71166622555998e+220
160.0ms	1.1611919376181578e+32	1.3464780397928357e+33

Compiler

Compiled 214 to 152 computations (29% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	217
1	58	217
2	61	217
3	62	217

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -1000) (/.f64 1 x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 0) (-.f64 (+.f64 1 (/.f64 1 x)) 1) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (exp.f64 (neg.f64 y)) x) (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 1 x))))))
(if (<=.f64 x -7200000000000000001312721067947729382182748160) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 190) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 100000) (/.f64 1 x) (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(if (<=.f64 y 1299999999999999871601725052813312) (/.f64 1 x) (if (<=.f64 y 36000000000000001878323318698069858679967041599588725212385910304864209899751807737864119844036943703923530846267292943797927495117324141264394087182396138864497352240095547759256465831611507248562966056483547786535501824) (/.f64 x (*.f64 x x)) (/.f64 1 x)))
(/.f64 1 x)

Outputs
(if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -1000) (/.f64 1 x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 0) (-.f64 (+.f64 1 (/.f64 1 x)) 1) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (exp.f64 (neg.f64 y)) x) (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 1 x))))))
(if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -1000) (/.f64 1 x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -6032057205060441/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 0) (+.f64 (+.f64 1 (/.f64 1 x)) -1) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 6931674235302037/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (/.f64 (exp.f64 (neg.f64 y)) x) (*.f64 (/.f64 1 x) (pow.f64 (/.f64 x (+.f64 x y)) x))))))
(if (<=.f64 x -7200000000000000001312721067947729382182748160) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 190) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 100000) (/.f64 1 x) (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(if (<=.f64 y 100000) (/.f64 1 x) (+.f64 (+.f64 1 (/.f64 1 x)) -1))
(if (<=.f64 y 1299999999999999871601725052813312) (/.f64 1 x) (if (<=.f64 y 36000000000000001878323318698069858679967041599588725212385910304864209899751807737864119844036943703923530846267292943797927495117324141264394087182396138864497352240095547759256465831611507248562966056483547786535501824) (/.f64 x (*.f64 x x)) (/.f64 1 x)))
(/.f64 1 x)

Compiler

Compiled 154 to 79 computations (48.7% saved)

soundness742.0ms (7.7%)

Algorithm

6×	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	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	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

Stop Event

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

Compiler

Compiled 193 to 120 computations (37.8% saved)

end177.0ms (1.8%)

Compiler: Compiled 146 to 68 computations (53.4% saved)

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	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

analyze314.0ms (3.3%)

sample3.3s (34.2%)

preprocess56.0ms (0.6%)

simplify85.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series24.0ms (0.3%)

rewrite85.0ms (0.9%)

simplify131.0ms (1.4%)

eval154.0ms (1.6%)

prune90.0ms (0.9%)

localize3.0ms (0%)

localize6.0ms (0.1%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite66.0ms (0.7%)

simplify57.0ms (0.6%)

localize6.0ms (0.1%)

series4.0ms (0%)

rewrite54.0ms (0.6%)

simplify49.0ms (0.5%)

localize7.0ms (0.1%)

series118.0ms (1.2%)

rewrite85.0ms (0.9%)

simplify81.0ms (0.8%)

eval71.0ms (0.7%)

prune57.0ms (0.6%)

localize21.0ms (0.2%)

series452.0ms (4.7%)

rewrite73.0ms (0.8%)

simplify268.0ms (2.8%)

localize13.0ms (0.1%)

series5.0ms (0.1%)

rewrite175.0ms (1.8%)

simplify98.0ms (1%)

localize9.0ms (0.1%)

series10.0ms (0.1%)

rewrite116.0ms (1.2%)

simplify125.0ms (1.3%)

localize9.0ms (0.1%)

series11.0ms (0.1%)

rewrite118.0ms (1.2%)

simplify65.0ms (0.7%)

eval495.0ms (5.1%)

prune179.0ms (1.9%)

localize9.0ms (0.1%)

series4.0ms (0%)

rewrite66.0ms (0.7%)

simplify76.0ms (0.8%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite60.0ms (0.6%)

simplify10.0ms (0.1%)

localize16.0ms (0.2%)

series6.0ms (0.1%)

rewrite81.0ms (0.8%)

simplify83.0ms (0.9%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite66.0ms (0.7%)

simplify11.0ms (0.1%)

eval96.0ms (1%)

prune68.0ms (0.7%)

regimes114.0ms (1.2%)

bsearch1.0ms (0%)

regimes61.0ms (0.6%)

bsearch327.0ms (3.4%)

regimes25.0ms (0.3%)

bsearch23.0ms (0.2%)

regimes15.0ms (0.2%)

bsearch277.0ms (2.9%)

simplify19.0ms (0.2%)

soundness742.0ms (7.7%)

end177.0ms (1.8%)

Profiling

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