Details

analyze265.0ms (3.4%)

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)

sample3.0s (39.3%)

Results

1.0s	1725×	body	1024	valid
1.0s	5326×	body	256	valid
355.0ms	1028×	body	512	valid
264.0ms	177×	body	2048	valid
118.0ms	912×	body	256	invalid
107.0ms	250×	body	512	invalid
89.0ms	186×	body	1024	invalid

preprocess45.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

494×	`associate-l_binary64`
479×	`fma-def_binary64`
400×	`associate-r_binary64`
400×	`times-frac_binary64`
392×	`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	240	26
5	602	26
6	1629	26
7	6223	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 (1.1%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64`
448×	`fma-neg_binary64`
343×	`exp-sum_binary64`
255×	`fma-def_binary64`
248×	`associate-l_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	326	13
6	874	13
7	3245	13
8	6511	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

10.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.0b	(/.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 6 expressions with local error:

New	Error	Program
	5.6b	(pow.f64 (/.f64 x (+.f64 x y)) x)
	0.0b	(/.f64 x (+.f64 x y))
	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	5.6b	(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	y	@	inf	(pow.f64 (/.f64 x (+.f64 x y)) x)
3.0ms	x	@	inf	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
3.0ms	x	@	inf	(pow.f64 (/.f64 x (+.f64 x y)) x)
2.0ms	x	@	-inf	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
2.0ms	x	@	0	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`prod-diff_binary64`
458×	`log-prod_binary64`
286×	`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	2521	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 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 expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))))))
((#(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 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 expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))))))
((#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)))))))

simplify120.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-/l*_binary64`
581×	`associate-/r*_binary64`
289×	`fma-def_binary64`
268×	`associate-*l/_binary64`
210×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	3273
1	953	2761
2	3866	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 (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 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) y) x))
(-.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 (/.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 (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 (/.f64 1/2 (/.f64 (.f64 y y) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))) 1) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) y) x))
(fma.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 (neg.f64 x) (/.f64 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 (.f64 1/6 (fma.f64 -2 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 0))) x))) (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 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) y) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (+.f64 (/.f64 1/2 (/.f64 (.f64 y y) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))) (/.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 x (/.f64 y (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) 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 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (.f64 y y)) (/.f64 (.f64 1/2 (+.f64 (.f64 x (.f64 (.f64 x x) 1)) (pow.f64 x 4))) x))))
(+.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 x (/.f64 y (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) 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 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) (.f64 y y)) (/.f64 (.f64 1/2 (+.f64 (.f64 x (.f64 (*.f64 x x) 1)) (pow.f64 x 4))) x)))))
(-.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 x (/.f64 y (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x))))) (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x) (/.f64 (fma.f64 1/6 (+.f64 (pow.f64 x 6) (.f64 x (.f64 2 (pow.f64 x 3)))) (.f64 1/2 (*.f64 x (pow.f64 x 4)))) (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)))))

eval165.0ms (2.1%)

Compiler: Compiled 5638 to 3192 computations (43.4% saved)

prune38.0ms (0.5%)

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
▶	10.0b	(*.f64 (/.f64 1 x) (pow.f64 (/.f64 x (+.f64 x y)) x))
▶	39.7b	(/.f64 (pow.f64 (/.f64 x y) x) x)
	38.5b	(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (sqrt.f64 x)))
▶	10.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	19.1b	(/.f64 (-.f64 1 y) x)
▶	9.0b	(/.f64 1 x)
	36.7b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) 3))

Compiler

Compiled 142 to 92 computations (35.2% saved)

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1795	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	9	124
1	16	106
2	25	106
3	35	106
4	48	106
5	72	106
6	128	106
7	250	106
8	487	79
9	726	79
10	823	79
11	886	79

Stop Event

1×

saturated

Counts

45 → 38

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	6
2	1659	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) (/.f64 1 x))))) (#(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)) (/.f64 1 x)))))) (#(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)) (/.f64 1 x)))))) (#(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 (/.f64 1 x) (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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (exp.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.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 log1p.f64 (expm1.f64 (/.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 y (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 y) x)))))))

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1034×	`fma-neg_binary64`
797×	`distribute-rgt-neg-in_binary64`
762×	`distribute-lft-neg-in_binary64`
556×	`unswap-sqr_binary64`
415×	`associate-l_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	103
1	64	98
2	143	96
3	355	96
4	927	93
5	4234	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))
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (-.f64 (/.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 (*.f64 -1/6 (/.f64 (pow.f64 y 3) x)) (/.f64 y x)) (fma.f64 1/2 (/.f64 y (/.f64 x y)) (/.f64 1 x)))
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 y 3) x) (/.f64 1 x)) (/.f64 y x)))
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) x) (-.f64 (fma.f64 1/2 (*.f64 y (/.f64 y x)) (/.f64 1 x)) (/.f64 y x)))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 y (/.f64 x y)) (+.f64 1/2 (.f64 y -1/6))) (/.f64 y x)))
(fma.f64 (/.f64 y (/.f64 x y)) (+.f64 (*.f64 y -1/6) 1/2) (-.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 4 expressions with local error:

New	Error	Program
	5.3b	(pow.f64 (/.f64 x y) x)
	0.0b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	0.0b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	5.3b	(pow.f64 (/.f64 x y) x)

Compiler

Compiled 19 to 5 computations (73.7% saved)

series81.0ms (1.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	y	@	0	(pow.f64 (/.f64 x y) x)
23.0ms	y	@	-inf	(pow.f64 (/.f64 x y) x)
7.0ms	y	@	inf	(pow.f64 (/.f64 x y) x)
1.0ms	x	@	0	(pow.f64 (/.f64 x y) x)
1.0ms	x	@	-inf	(/.f64 (pow.f64 (/.f64 x y) x) x)

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

828×	`unsub-neg_binary64`
548×	`fma-neg_binary64`
519×	`associate-+l+_binary64`
444×	`associate-+r+_binary64`
357×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	562
1	147	521
2	422	513
3	2216	510
4	6202	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 x (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x (.f64 x 1/2)) 1))
(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))
(+.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 x (log.f64 (/.f64 x y)) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x (*.f64 x 1/2)) 1)))
(fma.f64 1/6 (pow.f64 (.f64 x (log.f64 (/.f64 x y))) 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)))
(+.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 (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 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 (log.f64 (/.f64 x y)) (/.f64 1 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 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 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 (.f64 x x) (.f64 (log.f64 (/.f64 x y)) 1/6))) (+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x)))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 34 to 11 computations (67.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
497×	`prod-diff_binary64`
325×	`pow-prod-down_binary64`
260×	`pow2_binary64`
226×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	199	13
2	2777	13

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

658×	`times-frac_binary64`
588×	`associate-+r+_binary64`
573×	`associate-+l+_binary64`
414×	`associate-/l*_binary64`
400×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	1445
1	673	1195
2	2852	1006

Stop Event

1×	node limit

Counts

54 → 70

Calls

Call 1

Inputs
(/.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))))
(+.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 (.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 4)) (/.f64 (.f64 (+.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))) (exp.f64 (.f64 -1 y))) (pow.f64 x 3)))))
(/.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 1/8 (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 3))))
(+.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 -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 4))) (/.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 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x))) (pow.f64 y 2)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y x))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x))) (pow.f64 y 2)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))) x)) (.f64 -1 (/.f64 y x)))))
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 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 (.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 (+.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 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 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 (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 -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)))))

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) (-.f64 (log.f64 x) (log.f64 y)))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (log.f64 y))
(+.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))))
(fma.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) 2)) (/.f64 1 y)) x (+.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 1 x) (log.f64 x))))
(fma.f64 x (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 2) (/.f64 -1 y)) (+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (log.f64 y))))
(fma.f64 x (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 2) (/.f64 -1 y)) (-.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (log.f64 y)))
(+.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)))))
(fma.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) 2)) (/.f64 1 y)) x (+.f64 (neg.f64 (log.f64 y)) (fma.f64 (+.f64 (/.f64 1/2 (.f64 y y)) (fma.f64 1/6 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) 3) (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) y)))) (*.f64 x x) (+.f64 (/.f64 1 x) (log.f64 x)))))
(fma.f64 x (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 2) (/.f64 -1 y)) (+.f64 (fma.f64 (+.f64 (/.f64 1/2 (.f64 y y)) (-.f64 (.f64 1/6 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) (*.f64 x x) (/.f64 1 x)) (-.f64 (log.f64 x) (log.f64 y))))
(fma.f64 x (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 2) (/.f64 -1 y)) (+.f64 (-.f64 (log.f64 x) (log.f64 y)) (fma.f64 (+.f64 (/.f64 1/2 (.f64 y y)) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3) (/.f64 (neg.f64 (-.f64 (log.f64 x) (log.f64 y))) y))) (.f64 x x) (/.f64 1 x))))
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (neg.f64 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))
(fma.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 y y) 1)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 y)) x))
(fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 (.f64 y y) x)) (/.f64 (exp.f64 (neg.f64 y)) x))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 y y) (exp.f64 y)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 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))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 y y) 1)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 y)) x)) (/.f64 (exp.f64 (neg.f64 y)) (/.f64 (pow.f64 x 3) (fma.f64 1/6 (fma.f64 -6 (pow.f64 y 3) (.f64 (pow.f64 y 3) 4)) (.f64 1/8 (pow.f64 (.f64 (.f64 y y) 1) 2))))))
(+.f64 (.f64 (/.f64 (exp.f64 (neg.f64 y)) (pow.f64 x 3)) (fma.f64 1/6 (.f64 (pow.f64 y 3) -2) (.f64 1/8 (pow.f64 y 4)))) (fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 (*.f64 y y) x)) (/.f64 (exp.f64 (neg.f64 y)) x)))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 y y) (exp.f64 y)) (.f64 x x)) (.f64 (+.f64 (/.f64 (fma.f64 1/8 (pow.f64 y 4) (.f64 (pow.f64 y 3) -1/3)) (*.f64 x x)) 1) (/.f64 (exp.f64 (neg.f64 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 (.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 4)) (/.f64 (.f64 (+.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))) (exp.f64 (.f64 -1 y))) (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 y y) 1)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 y)) x)) (+.f64 (/.f64 (exp.f64 (neg.f64 y)) (/.f64 (pow.f64 x 3) (fma.f64 1/6 (fma.f64 -6 (pow.f64 y 3) (.f64 (pow.f64 y 3) 4)) (.f64 1/8 (pow.f64 (.f64 (.f64 y y) 1) 2))))) (/.f64 (fma.f64 1/12 (.f64 (.f64 (.f64 y y) 1) (fma.f64 -6 (pow.f64 y 3) (.f64 (pow.f64 y 3) 4))) (fma.f64 1/48 (pow.f64 (.f64 (.f64 y y) 1) 3) (.f64 1/24 (fma.f64 -12 (pow.f64 y 4) (fma.f64 48 (pow.f64 y 4) (.f64 (pow.f64 y 4) -30)))))) (/.f64 (pow.f64 x 4) (exp.f64 (neg.f64 y))))))
(+.f64 (+.f64 (.f64 (/.f64 (exp.f64 (neg.f64 y)) (pow.f64 x 3)) (fma.f64 1/6 (.f64 (pow.f64 y 3) -2) (.f64 1/8 (pow.f64 y 4)))) (fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 (.f64 y y) x)) (/.f64 (exp.f64 (neg.f64 y)) x))) (.f64 (/.f64 (fma.f64 1/12 (.f64 (.f64 y y) (.f64 (pow.f64 y 3) -2)) (fma.f64 1/48 (pow.f64 (.f64 y y) 3) (.f64 1/24 (fma.f64 -12 (pow.f64 y 4) (.f64 (pow.f64 y 4) 18))))) (pow.f64 x 4)) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 1/8 (pow.f64 y 4) (.f64 (pow.f64 y 3) -1/3)) (pow.f64 x 3)) (/.f64 (fma.f64 1/12 (.f64 (.f64 y y) (.f64 (pow.f64 y 3) -2)) (fma.f64 1/24 (.f64 (pow.f64 y 4) 6) (.f64 1/48 (pow.f64 (.f64 y y) 3)))) (pow.f64 x 4)))) (fma.f64 1/2 (/.f64 (/.f64 (.f64 y y) (exp.f64 y)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 y)) x)))
(/.f64 (exp.f64 (*.f64 -1 y)) x)
(/.f64 (exp.f64 (neg.f64 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))
(fma.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 y y) 1)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 y)) x))
(fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 (.f64 y y) x)) (/.f64 (exp.f64 (neg.f64 y)) x))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 y y) (exp.f64 y)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 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 1/8 (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 3))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 y y) 1)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 y)) x)) (/.f64 (exp.f64 (neg.f64 y)) (/.f64 (pow.f64 x 3) (fma.f64 1/6 (fma.f64 -6 (pow.f64 y 3) (.f64 (pow.f64 y 3) 4)) (.f64 1/8 (pow.f64 (.f64 (.f64 y y) 1) 2))))))
(+.f64 (.f64 (/.f64 (exp.f64 (neg.f64 y)) (pow.f64 x 3)) (fma.f64 1/6 (.f64 (pow.f64 y 3) -2) (.f64 1/8 (pow.f64 y 4)))) (fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 (*.f64 y y) x)) (/.f64 (exp.f64 (neg.f64 y)) x)))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 y y) (exp.f64 y)) (.f64 x x)) (.f64 (+.f64 (/.f64 (fma.f64 1/8 (pow.f64 y 4) (.f64 (pow.f64 y 3) -1/3)) (*.f64 x x)) 1) (/.f64 (exp.f64 (neg.f64 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 -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 4))) (/.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 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 (exp.f64 (neg.f64 y)) (.f64 (.f64 y y) 1)) (.f64 x x)) (/.f64 (exp.f64 (neg.f64 y)) x)) (fma.f64 -1 (/.f64 (exp.f64 (neg.f64 y)) (/.f64 (pow.f64 x 4) (fma.f64 -1/24 (fma.f64 -12 (pow.f64 y 4) (fma.f64 48 (pow.f64 y 4) (.f64 (pow.f64 y 4) -30))) (fma.f64 -1/48 (pow.f64 (.f64 (.f64 y y) 1) 3) (.f64 1/12 (.f64 (.f64 (.f64 y y) 1) (fma.f64 -6 (pow.f64 y 3) (.f64 (pow.f64 y 3) 8)))))))) (/.f64 (exp.f64 (neg.f64 y)) (/.f64 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 (.f64 (.f64 y y) 1) 2) (.f64 -1/6 (fma.f64 -6 (pow.f64 y 3) (.f64 (pow.f64 y 3) 8))))))))
(+.f64 (-.f64 (.f64 (/.f64 (exp.f64 (neg.f64 y)) (pow.f64 x 3)) (fma.f64 1/8 (pow.f64 y 4) (.f64 -1/6 (.f64 2 (pow.f64 y 3))))) (.f64 (/.f64 (exp.f64 (neg.f64 y)) (pow.f64 x 4)) (fma.f64 (fma.f64 -12 (pow.f64 y 4) (.f64 (pow.f64 y 4) 18)) -1/24 (fma.f64 1/12 (.f64 (.f64 y y) (.f64 2 (pow.f64 y 3))) (.f64 (pow.f64 (.f64 y y) 3) -1/48))))) (fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 y)) x) (/.f64 (.f64 y y) x)) (/.f64 (exp.f64 (neg.f64 y)) x)))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 (.f64 y y) (exp.f64 y)) (.f64 x x)) (.f64 (+.f64 (/.f64 (fma.f64 1/8 (pow.f64 y 4) (.f64 (pow.f64 y 3) -1/3)) (.f64 x x)) 1) (/.f64 (exp.f64 (neg.f64 y)) x))) (.f64 (/.f64 (exp.f64 (neg.f64 y)) (pow.f64 x 4)) (fma.f64 (.f64 (pow.f64 y 4) 6) -1/24 (.f64 (.f64 y y) (+.f64 (.f64 -1/48 (pow.f64 y 4)) (.f64 1/12 (.f64 2 (pow.f64 y 3))))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 1 x) (/.f64 y x))
(+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x))) (pow.f64 y 2)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y x))))
(fma.f64 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/2 x)) (.f64 y y) (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) x)))
(-.f64 (fma.f64 (.f64 y y) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/2 x)) (/.f64 1 x)) (/.f64 y x))
(+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x))) (pow.f64 y 2)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))) x)) (.f64 -1 (/.f64 y x)))))
(fma.f64 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/2 x)) (.f64 y y) (+.f64 (/.f64 1 x) (.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (/.f64 x (+.f64 (+.f64 (/.f64 1/3 (.f64 x x)) 1/6) (/.f64 1/2 x)))) (/.f64 y x)))))
(fma.f64 (.f64 y y) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/2 x)) (-.f64 (-.f64 (/.f64 1 x) (.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1/2 x) (+.f64 1/6 (/.f64 1/3 (.f64 x x)))))) (/.f64 y x)))
(-.f64 (fma.f64 (.f64 y y) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/2 x)) (/.f64 1 x)) (+.f64 (/.f64 y x) (.f64 (/.f64 (pow.f64 y 3) x) (+.f64 1/6 (+.f64 (/.f64 1/2 x) (/.f64 1/3 (.f64 x x)))))))
(/.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 (-.f64 (log.f64 x) (log.f64 y))) x) x)
(/.f64 (pow.f64 (*.f64 x (/.f64 1 y)) 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 (-.f64 (log.f64 x) (log.f64 y))) x) x) (*.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) x) y) x))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 1 y)) x) x) (.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 1 y)) x) y) 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 (-.f64 (log.f64 x) (log.f64 y))) x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) x) y) x))
(-.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (.f64 y y))) 1) (/.f64 (pow.f64 (.f64 x (/.f64 1 y)) x) x)) (.f64 (/.f64 (pow.f64 (.f64 x (/.f64 1 y)) x) y) 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 (-.f64 (log.f64 x) (log.f64 y))) x) x) (.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) x) y) x)) (.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) x) 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 -2 (pow.f64 x 3))) (.f64 -1/2 (*.f64 x (pow.f64 x 4))))) (pow.f64 y 3)))))
(-.f64 (.f64 (/.f64 (pow.f64 (.f64 x (/.f64 1 y)) x) x) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (.f64 y y))) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 6) (fma.f64 1/6 (.f64 x (.f64 -2 (pow.f64 x 3))) (.f64 -1/2 (pow.f64 x 5)))) (pow.f64 y 3)) 1))) (.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 1 y)) x) y) x))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (exp.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) 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 (exp.f64 (.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))) x) (neg.f64 (/.f64 (exp.f64 (.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))) (/.f64 y x))))
(-.f64 (/.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) y) x))
(-.f64 (/.f64 (pow.f64 (.f64 (neg.f64 x) (/.f64 -1 y)) x) x) (.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 -1 y)) x) y) 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 (exp.f64 (.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))) x) (fma.f64 -1 (/.f64 (exp.f64 (.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))) (/.f64 y x)) (.f64 (/.f64 (exp.f64 (.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))) (.f64 y y)) (/.f64 (.f64 1/2 (+.f64 (.f64 x (.f64 (*.f64 x x) 1)) (pow.f64 x 4))) x))))
(+.f64 (/.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) (/.f64 (.f64 x (.f64 y y)) (.f64 1/2 (+.f64 (pow.f64 x 3) (pow.f64 x 4))))) (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) y) x)))
(-.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (.f64 y y))) 1) (/.f64 (pow.f64 (.f64 (neg.f64 x) (/.f64 -1 y)) x) x)) (.f64 (/.f64 (pow.f64 (.f64 (neg.f64 x) (/.f64 -1 y)) x) y) 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 (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)))))) (/.f64 (.f64 x (pow.f64 y 3)) (exp.f64 (.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))))) (+.f64 (/.f64 (exp.f64 (.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))) x) (fma.f64 -1 (/.f64 (exp.f64 (.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))) (/.f64 y x)) (.f64 (/.f64 (exp.f64 (.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x))))) (.f64 y y)) (/.f64 (.f64 1/2 (+.f64 (.f64 x (.f64 (*.f64 x x) 1)) (pow.f64 x 4))) x)))))
(-.f64 (+.f64 (/.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) (/.f64 (.f64 x (.f64 y y)) (.f64 1/2 (+.f64 (pow.f64 x 3) (pow.f64 x 4))))) (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) y) x))) (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x) (/.f64 (fma.f64 1/6 (+.f64 (pow.f64 x 6) (.f64 x (.f64 2 (pow.f64 x 3)))) (.f64 (*.f64 1/2 (pow.f64 x 4)) x)) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 (pow.f64 (.f64 (neg.f64 x) (/.f64 -1 y)) x) x) (.f64 (/.f64 (pow.f64 (.f64 (neg.f64 x) (/.f64 -1 y)) x) y) x)) (.f64 (/.f64 (pow.f64 (.f64 (neg.f64 x) (/.f64 -1 y)) x) x) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (.f64 y y))) (/.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)))))

eval166.0ms (2.2%)

Compiler: Compiled 7337 to 4185 computations (43% saved)

prune78.0ms (1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	342	6	348
Fresh	2	0	2
Picked	1	0	1
Done	0	4	4
Total	345	10	355

Error

0.0b

Counts

355 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.4b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))
▶	53.1b	(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
✓	39.7b	(/.f64 (pow.f64 (/.f64 x y) x) x)
▶	47.4b	(+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x))
✓	10.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	19.1b	(/.f64 (-.f64 1 y) x)
	20.0b	(*.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2))
▶	10.6b	(pow.f64 (*.f64 x (exp.f64 y)) -1)
✓	9.0b	(/.f64 1 x)
▶	40.1b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)

Compiler

Compiled 174 to 123 computations (29.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 17 to 7 computations (58.8% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1022×	`fma-neg_binary64`
503×	`distribute-rgt-neg-in_binary64`
503×	`fma-def_binary64`
466×	`distribute-lft-neg-in_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	417
1	103	392
2	254	385
3	704	381
4	2183	378
5	5390	374

Stop Event

1×	node limit

Counts

82 → 51

Calls

Call 1

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

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

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.5b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
	0.0b	(/.f64 (-.f64 1 y) x)
	0.0b	(/.f64 (-.f64 1 y) x)
✓	3.5b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)

Compiler

Compiled 29 to 20 computations (31% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	191	7
2	2863	7

Stop Event

1×	node limit

Counts

1 → 147

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

135×	`fma-def_binary64`
118×	`fma-neg_binary64`
27×	`div-sub_binary64`
25×	`cancel-sign-sub-inv_binary64`
22×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	268
1	21	163
2	31	163
3	48	163
4	68	163
5	99	163
6	164	163
7	295	163
8	524	163
9	668	163
10	713	163

Stop Event

1×

saturated

Counts

171 → 151

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	12.5b	(log.f64 (/.f64 x y))
	0.0b	(+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x))
✓	0.0b	(+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x))
✓	12.5b	(log.f64 (/.f64 x y))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series80.0ms (1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
37.0ms	x	@	-inf	(log.f64 (/.f64 x y))
27.0ms	x	@	inf	(log.f64 (/.f64 x y))
13.0ms	x	@	0	(log.f64 (/.f64 x y))
0.0ms	y	@	0	(+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x))
0.0ms	x	@	-inf	(+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x))

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

919×	`pow1_binary64`
855×	`add-log-exp_binary64`
855×	`log1p-expm1-u_binary64`
855×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	2330	18

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify151.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2991×	`fma-neg_binary64`
581×	`distribute-rgt-in_binary64`
539×	`associate--r-_binary64`
493×	`fma-def_binary64`
430×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	553
1	75	506
2	154	506
3	414	506
4	1115	506
5	2293	506
6	4120	506
7	4435	506
8	4516	506
9	4529	506
10	4532	506
11	4532	506
12	4532	506
13	4532	506
14	6218	506
15	6946	506

Stop Event

1×	node limit

Counts

108 → 72

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	14.7b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))
	5.3b	(pow.f64 (/.f64 x y) x)
	0.1b	(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
	0.0b	(/.f64 (pow.f64 (/.f64 x y) x) x)
	0.0b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	0.1b	(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
	5.3b	(pow.f64 (/.f64 x y) x)
✓	14.7b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))

Compiler

Compiled 39 to 11 computations (71.8% saved)

series13.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))
1.0ms	x	@	0	(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
1.0ms	y	@	0	(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
1.0ms	y	@	-inf	(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	204	23
2	2465	23

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

844×	`associate-+l+_binary64`
553×	`fma-def_binary64`
366×	`unswap-sqr_binary64`
287×	`+-commutative_binary64`
219×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1149
1	313	1034
2	1207	941
3	5591	871

Stop Event

1×	node limit

Counts

128 → 107

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

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 (/.f64 1 x) (log.f64 x)) (.f64 1/2 (.f64 x (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2)))))
(+.f64 (+.f64 (/.f64 1 x) (log.f64 (/.f64 x y))) (.f64 x (.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2))))
(+.f64 (log.f64 (/.f64 x y)) (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 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 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) (.f64 x x)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (+.f64 (/.f64 1 x) (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 (pow.f64 (log.f64 (/.f64 x y)) 3) (.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (log.f64 (/.f64 x y))) (.f64 x (.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)))))
(fma.f64 1/6 (.f64 x (.f64 x (pow.f64 (log.f64 (/.f64 x y)) 3))) (+.f64 (log.f64 (/.f64 x y)) (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 x))))
(fma.f64 x (.f64 1/6 (.f64 x (pow.f64 (log.f64 (/.f64 x y)) 3))) (+.f64 (log.f64 (/.f64 x y)) (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 x))))
(/.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 -1 (/.f64 (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (/.f64 x (cbrt.f64 -1))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) (/.f64 x (cbrt.f64 -1)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) x) (cbrt.f64 -1))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (/.f64 x (cbrt.f64 -1))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) (/.f64 x (cbrt.f64 -1)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) x) (cbrt.f64 -1))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (/.f64 x (cbrt.f64 -1))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) (/.f64 x (cbrt.f64 -1)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) x) (cbrt.f64 -1))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (/.f64 x (cbrt.f64 -1))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) (/.f64 x (cbrt.f64 -1)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x y) x)) x) (cbrt.f64 -1))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) (neg.f64 (cbrt.f64 -1)))
(/.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 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) x)
(/.f64 (pow.f64 (neg.f64 (/.f64 (neg.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 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) x)
(/.f64 (pow.f64 (neg.f64 (/.f64 (neg.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 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) x)
(/.f64 (pow.f64 (neg.f64 (/.f64 (neg.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 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) x)
(/.f64 (pow.f64 (neg.f64 (/.f64 (neg.f64 x) y)) x) x)
(/.f64 1 (pow.f64 x 3))
(+.f64 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 x 2)) (+.f64 (/.f64 (log.f64 x) (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 (log.f64 x) (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 2 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 x 2)))))))
(+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 y)) (.f64 x x)) (/.f64 (log.f64 x) (.f64 x x))) (fma.f64 2 (/.f64 (log.f64 x) (.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 2 (/.f64 (neg.f64 (log.f64 y)) (*.f64 x x))))))
(+.f64 (/.f64 (neg.f64 (log.f64 y)) (.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (.f64 (log.f64 y) -2) (.f64 x x))) (.f64 3 (/.f64 (/.f64 (log.f64 x) x) x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (fma.f64 3 (/.f64 (log.f64 x) (.f64 x x)) (.f64 (/.f64 (log.f64 y) x) (/.f64 -2 x)))) (/.f64 (log.f64 y) (*.f64 x x)))
(+.f64 (fma.f64 3 (/.f64 (log.f64 x) (.f64 x x)) (/.f64 1 (pow.f64 x 3))) (-.f64 (.f64 (/.f64 (log.f64 y) x) (/.f64 -2 x)) (/.f64 (log.f64 y) (*.f64 x x))))
(+.f64 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)) (+.f64 (.f64 2 (/.f64 (log.f64 x) (pow.f64 x 2))) (+.f64 (/.f64 (log.f64 x) (pow.f64 x 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (/.f64 1 y)))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))) x) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 2 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 x 2))))))))))
(+.f64 (/.f64 (neg.f64 (log.f64 y)) (.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) x) (fma.f64 2 (/.f64 (log.f64 x) (.f64 x x)) (+.f64 (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) x) (+.f64 (+.f64 (/.f64 (.f64 2 (fma.f64 -1 (log.f64 y) (log.f64 x))) (/.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))) (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 (neg.f64 (log.f64 y)) (.f64 x x)))))))))
(+.f64 (/.f64 (neg.f64 (log.f64 y)) (.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (.f64 (log.f64 y) -2) (.f64 x x))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x)))) (*.f64 3 (/.f64 (/.f64 (log.f64 x) x) x)))))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (.f64 (/.f64 (log.f64 y) x) (/.f64 -2 x)))) (fma.f64 3 (/.f64 (log.f64 x) (.f64 x x)) (.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) 5/2))) (/.f64 (log.f64 y) (.f64 x x)))
(+.f64 (fma.f64 3 (/.f64 (log.f64 x) (.f64 x x)) (.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) 5/2)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 2 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (/.f64 (log.f64 y) (.f64 x x))))) (/.f64 (log.f64 y) (*.f64 x x))))
(+.f64 (.f64 2 (/.f64 (log.f64 x) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)) (+.f64 (.f64 2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 1/3 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (+.f64 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)) (+.f64 (/.f64 (log.f64 x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (/.f64 1 y)))) (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (/.f64 1 y)))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))) x) (.f64 2 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 x 2)))))))))))))))
(fma.f64 2 (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) x) (fma.f64 2 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) (+.f64 (/.f64 1 (pow.f64 x 3)) (fma.f64 1/3 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) (+.f64 (/.f64 (neg.f64 (log.f64 y)) (.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) x) (+.f64 (+.f64 (/.f64 (log.f64 x) (.f64 x x)) (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)) (fma.f64 1/2 (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) (.f64 2 (fma.f64 -1 (log.f64 y) (log.f64 x)))) (+.f64 (.f64 2 (/.f64 (neg.f64 (log.f64 y)) (.f64 x x))) (/.f64 (.f64 2 (fma.f64 -1 (log.f64 y) (log.f64 x))) (/.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))))))))))))))
(fma.f64 2 (/.f64 (/.f64 (log.f64 x) x) x) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (+.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (+.f64 (/.f64 (.f64 (log.f64 y) -2) (.f64 x x)) (fma.f64 1/2 (.f64 2 (pow.f64 (log.f64 (/.f64 x y)) 3)) (.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x))))) (fma.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (/.f64 (/.f64 (log.f64 x) x) x))) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 1/3 (/.f64 (neg.f64 (log.f64 y)) (.f64 x x))))) (.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 13/6))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (+.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 13/6 (-.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 1/3 (+.f64 (/.f64 (log.f64 x) (.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 x y)) 3)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (.f64 (/.f64 (log.f64 y) x) (/.f64 -2 x))))))) (/.f64 (log.f64 y) (.f64 x x)))) (fma.f64 2 (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (fma.f64 2 (/.f64 (log.f64 x) (.f64 x x)) (+.f64 (+.f64 (/.f64 (log.f64 x) (.f64 x x)) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (+.f64 (.f64 2 (pow.f64 (log.f64 (/.f64 x y)) 3)) (.f64 2 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) x) (/.f64 (log.f64 y) (.f64 x x)))))) (/.f64 (log.f64 y) (.f64 x x)))) (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 13/6 (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 1/3 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) 2)) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) 2)) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) 2)) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)) 2)) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (neg.f64 (/.f64 (neg.f64 x) y)) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (neg.f64 (/.f64 (neg.f64 x) y)) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (neg.f64 (/.f64 (neg.f64 x) y)) x) x) 3)
(/.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (pow.f64 (neg.f64 (/.f64 (neg.f64 x) y)) x) x) 3)

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	5.3b	(pow.f64 (/.f64 x y) x)
	0.1b	(/.f64 1 (sqrt.f64 x))
	0.1b	(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
	0.1b	(/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x))
✓	0.1b	(/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x))
✓	0.1b	(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
✓	0.1b	(/.f64 1 (sqrt.f64 x))
	5.3b	(pow.f64 (/.f64 x y) x)

Compiler

Compiled 40 to 12 computations (70% saved)

series11.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

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

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
328×	`pow-unpow_binary64`
268×	`pow2_binary64`
233×	`pow-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	216	26
2	2939	26

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

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

simplify37.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
668×	`distribute-rgt-in_binary64`
646×	`distribute-lft-in_binary64`
338×	`associate-+l+_binary64`
326×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	648
1	133	560
2	366	508
3	1679	500

Stop Event

1×	node limit

Counts

181 → 163

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

eval279.0ms (3.6%)

Compiler: Compiled 11231 to 5533 computations (50.7% saved)

prune133.0ms (1.7%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	675	6	681
Fresh	1	0	1
Picked	1	0	1
Done	2	6	8
Total	679	12	691

Error

Counts

691 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.1b	(/.f64 1 (/.f64 x (-.f64 1 y)))
	20.0b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) x)))
✓	50.4b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))
✓	39.7b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	47.4b	(+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x))
✓	10.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	18.5b	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
▶	10.6b	(/.f64 (/.f64 1 x) (exp.f64 y))
✓	19.1b	(/.f64 (-.f64 1 y) x)
▶	26.0b	(-.f64 (+.f64 1 (/.f64 1 x)) 1)
✓	9.0b	(/.f64 1 x)
▶	53.1b	(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))

Compiler

Compiled 190 to 138 computations (27.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`pow1_binary64`
631×	`add-log-exp_binary64`
631×	`log1p-expm1-u_binary64`
631×	`expm1-log1p-u_binary64`
615×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	141	8
2	1797	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

993×	`fma-neg_binary64`
797×	`distribute-rgt-neg-in_binary64`
760×	`distribute-lft-neg-in_binary64`
536×	`unswap-sqr_binary64`
415×	`associate-l_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	251
1	64	226
2	140	224
3	335	224
4	867	221
5	4018	217

Stop Event

1×	node limit

Counts

55 → 40

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.6b	(-.f64 (+.f64 1 (/.f64 1 x)) 1)
	0.0b	(+.f64 1 (/.f64 1 x))
✓	0.0b	(+.f64 1 (/.f64 1 x))
✓	4.6b	(-.f64 (+.f64 1 (/.f64 1 x)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series4.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+.f64 1 (/.f64 1 x))
0.0ms	x	@	0	(-.f64 (+.f64 1 (/.f64 1 x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (/.f64 1 x)) 1)
0.0ms	x	@	0	(+.f64 1 (/.f64 1 x))
0.0ms	x	@	-inf	(+.f64 1 (/.f64 1 x))

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`pow1_binary64`
626×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
615×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	139	11
2	1920	11

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	54
1	6	54

Stop Event

1×

saturated

Counts

95 → 81

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)
1
1

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)
1
1

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (/.f64 x (-.f64 1 y)))
	0.0b	(/.f64 x (-.f64 1 y))
✓	0.0b	(/.f64 x (-.f64 1 y))
✓	0.1b	(/.f64 1 (/.f64 x (-.f64 1 y)))

Compiler

Compiled 20 to 13 computations (35% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`pow1_binary64`
787×	`add-log-exp_binary64`
787×	`log1p-expm1-u_binary64`
787×	`expm1-log1p-u_binary64`
770×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	156	14
2	2144	14

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

754×	`associate-/l*_binary64`
569×	`fma-def_binary64`
411×	`distribute-lft-out_binary64`
358×	`associate-*r/_binary64`
319×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	368
1	111	355
2	292	340
3	945	322
4	3812	316

Stop Event

1×	node limit

Counts

108 → 92

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 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.f64 1 y) x)
(/.f64 (-.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)))
x
(+.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) x) x))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(*.f64 -1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))))

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.8b	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
	0.0b	(*.f64 x (+.f64 1 y))
✓	0.0b	(*.f64 x (+.f64 1 y))
✓	5.8b	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	207	14
2	3146	12

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	382
1	41	340
2	85	340
3	180	340
4	654	340
5	3664	319
6	5940	319

Stop Event

1×	node limit

Counts

209 → 171

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	5.3b	(pow.f64 (/.f64 x y) x)
	0.1b	(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
	0.1b	(/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x))
	0.1b	(/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x))
✓	0.1b	(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
	5.3b	(pow.f64 (/.f64 x y) x)

Compiler

Compiled 38 to 12 computations (68.4% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
1.0ms	x	@	inf	(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
1.0ms	y	@	0	(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
1.0ms	x	@	0	(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))
1.0ms	y	@	inf	(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 (/.f64 x y) x) (sqrt.f64 x)))

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
340×	`pow-prod-down_binary64`
322×	`pow-unpow_binary64`
284×	`pow2_binary64`
251×	`pow-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	223	13
2	2946	13

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
664×	`distribute-rgt-in_binary64`
642×	`distribute-lft-in_binary64`
420×	`fma-neg_binary64`
336×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	321
1	117	300
2	319	296
3	1498	296
4	7555	295

Stop Event

1×	node limit

Counts

57 → 47

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

eval177.0ms (2.3%)

Compiler: Compiled 9081 to 4650 computations (48.8% saved)

prune75.0ms (1%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	510	4	514
Fresh	1	0	1
Picked	1	0	1
Done	2	8	10
Total	514	12	526

Error

Counts

526 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.6b	(/.f64 (/.f64 1 x) (exp.f64 y))
	20.0b	(*.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) x)) 2))
✓	50.4b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) 3))
✓	39.7b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	47.4b	(+.f64 (log.f64 (/.f64 x y)) (/.f64 1 x))
✓	10.6b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	18.5b	(/.f64 (-.f64 1 (.f64 y y)) (.f64 x (+.f64 1 y)))
	51.9b	(sqrt.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) (+.f64 x x)) x) x))
	16.1b	(/.f64 1 (+.f64 (*.f64 y x) x))
✓	19.1b	(/.f64 (-.f64 1 y) x)
✓	9.0b	(/.f64 1 x)
	53.4b	(-.f64 1 1)

Compiler

Compiled 116 to 81 computations (30.2% saved)

regimes49.0ms (0.6%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	y
20.0ms	x

Results

Error	Segments	Branch
0.4b	3	`x`
4.0b	3	`y`

Compiler

Compiled 100 to 58 computations (42% saved)

bsearch338.0ms (4.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
223.0ms	3.856895059865522e-6	252268408404.40454
115.0ms	-1.3831523756980507e+80	-3.20123526123031e+74

Compiler

Compiled 294 to 231 computations (21.4% saved)

regimes31.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
14.0ms	x

Results

Error	Segments	Branch
0.4b	3	`x`
4.3b	3	`y`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch338.0ms (4.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
221.0ms	3.856895059865522e-6	252268408404.40454
117.0ms	-1.3831523756980507e+80	-3.20123526123031e+74

Compiler

Compiled 284 to 221 computations (22.2% saved)

regimes26.0ms (0.3%)

Accuracy

Total -57.3b remaining (-1224.6%)

Threshold costs -57.3b (-1224.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
12.0ms	y

Results

Error	Segments	Branch
6.0b	3	`x`
4.7b	3	`y`

Compiler

Compiled 37 to 25 computations (32.4% saved)

bsearch122.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.2349020658385886e+206	4.0368017916807164e+208
94.0ms	1.7858735797702767	1797717.3663570879

Compiler

Compiled 222 to 199 computations (10.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	87
1	31	87
2	33	87
3	34	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x -324999999999999981147110270665734261208992583505960196242244441999845359616) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 1048576000000000000/4194304) (/.f64 1 x) (/.f64 (/.f64 1 x) (exp.f64 y))))
(if (<=.f64 x -324999999999999981147110270665734261208992583505960196242244441999845359616) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 1048576000000000000/4194304) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 8106479329266893/4503599627370496) (/.f64 1 x) (if (<=.f64 y 39999999999999999274522793232437927931709096867935142887106699178796552426157699755594402638812387301974178466090785427220113457766571369317254986200788577015443174643939683291829245142929903446291800142118912) (-.f64 1 1) (/.f64 1 x)))
(-.f64 1 1)

Outputs
(if (<=.f64 x -324999999999999981147110270665734261208992583505960196242244441999845359616) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 1048576000000000000/4194304) (/.f64 1 x) (/.f64 (/.f64 1 x) (exp.f64 y))))
(if (<=.f64 x -324999999999999981147110270665734261208992583505960196242244441999845359616) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 250000000000) (/.f64 1 x) (/.f64 (/.f64 1 x) (exp.f64 y))))
(if (<=.f64 x -324999999999999981147110270665734261208992583505960196242244441999845359616) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 1048576000000000000/4194304) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x -324999999999999981147110270665734261208992583505960196242244441999845359616) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 250000000000) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 8106479329266893/4503599627370496) (/.f64 1 x) (if (<=.f64 y 39999999999999999274522793232437927931709096867935142887106699178796552426157699755594402638812387301974178466090785427220113457766571369317254986200788577015443174643939683291829245142929903446291800142118912) (-.f64 1 1) (/.f64 1 x)))
(if (<=.f64 y 8106479329266893/4503599627370496) (/.f64 1 x) (if (<=.f64 y 39999999999999999274522793232437927931709096867935142887106699178796552426157699755594402638812387301974178466090785427220113457766571369317254986200788577015443174643939683291829245142929903446291800142118912) 0 (/.f64 1 x)))
(-.f64 1 1)
0

end39.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 128 to 83 computations (35.2% saved)

Iter	Nodes	Cost
0	9	124
1	16	106
2	25	106
3	35	106
4	48	106
5	72	106
6	128	106
7	250	106
8	487	79
9	726	79
10	823	79
11	886	79

Iter	Nodes	Cost
0	11	268
1	21	163
2	31	163
3	48	163
4	68	163
5	99	163
6	164	163
7	295	163
8	524	163
9	668	163
10	713	163

Iter	Nodes	Cost
0	9	124
1	16	106
2	25	106
3	35	106
4	48	106
5	72	106
6	128	106
7	250	106
8	487	79
9	726	79
10	823	79
11	886	79

Iter	Nodes	Cost
0	11	268
1	21	163
2	31	163
3	48	163
4	68	163
5	99	163
6	164	163
7	295	163
8	524	163
9	668	163
10	713	163

Iter	Nodes	Cost
0	9	124
1	16	106
2	25	106
3	35	106
4	48	106
5	72	106
6	128	106
7	250	106
8	487	79
9	726	79
10	823	79
11	886	79

Iter	Nodes	Cost
0	11	268
1	21	163
2	31	163
3	48	163
4	68	163
5	99	163
6	164	163
7	295	163
8	524	163
9	668	163
10	713	163