Details

analyze237.0ms (2.9%)

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)

sample3.1s (38.4%)

Results

1.1s	1760×	body	1024	valid
961.0ms	5311×	body	256	valid
437.0ms	1016×	body	512	valid
188.0ms	169×	body	2048	valid
164.0ms	923×	body	256	invalid
120.0ms	248×	body	512	invalid
107.0ms	184×	body	1024	invalid

preprocess121.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

11.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.7b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 11 to 6 computations (45.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	7.2b	(pow.f64 (/.f64 x (+.f64 x y)) x)

Compiler

Compiled 28 to 6 computations (78.6% saved)

series56.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	y	@	-inf	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
3.0ms	x	@	inf	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
3.0ms	x	@	inf	(pow.f64 (/.f64 x (+.f64 x y)) x)
2.0ms	y	@	inf	(pow.f64 (/.f64 x (+.f64 x y)) x)
2.0ms	x	@	-inf	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite99.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

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

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

simplify112.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

193 → 214

Calls

Call 1

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

eval141.0ms (1.7%)

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

prune36.0ms (0.4%)

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
▶	24.1b	(-.f64 (/.f64 1 x) (/.f64 y x))
▶	39.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
	11.7b	(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 1 x))
▶	15.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
	19.7b	(/.f64 (fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y))) x)
▶	9.2b	(/.f64 1 x)
▶	24.1b	(/.f64 (-.f64 1 y) x)

Compiler

Compiled 134 to 88 computations (34.3% saved)

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series10.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/.f64 (-.f64 1 y) x)
1.0ms	x	@	inf	(/.f64 (-.f64 1 y) x)
1.0ms	y	@	inf	(/.f64 (-.f64 1 y) x)
1.0ms	x	@	-inf	(/.f64 (-.f64 1 y) x)
0.0ms	y	@	0	(/.f64 (-.f64 1 y) x)

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 8 (0.0ms)

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

Stop Event

1×

saturated

Counts

45 → 38

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite92.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

80 → 61

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

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

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 39

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	6.1b	(pow.f64 (/.f64 x y) x)

Compiler

Compiled 19 to 5 computations (73.7% saved)

series68.0ms (0.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	y	@	0	(pow.f64 (/.f64 x y) x)
16.0ms	y	@	-inf	(pow.f64 (/.f64 x y) x)
8.0ms	y	@	inf	(pow.f64 (/.f64 x y) x)
3.0ms	x	@	inf	(pow.f64 (/.f64 x y) x)
1.0ms	x	@	0	(pow.f64 (/.f64 x y) x)

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

95 → 71

Calls

Call 1

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

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

eval56.0ms (0.7%)

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

prune32.0ms (0.4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	206	3	209
Fresh	1	1	2
Picked	0	1	1
Done	0	4	4
Total	207	9	216

Error

Counts

216 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.4b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
▶	19.7b	(/.f64 (fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y))) x)
✓	24.1b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	39.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	9.2b	(/.f64 1 x)
▶	15.3b	(pow.f64 (*.f64 x (exp.f64 y)) -1)
✓	15.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	45.7b	(-.f64 (/.f64 1 x) (log.f64 (/.f64 y x)))
✓	24.1b	(/.f64 (-.f64 1 y) x)

Compiler

Compiled 83 to 58 computations (30.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 1 y) x)
✓	3.8b	(-.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
0.0ms	y	@	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)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)

rewrite80.0ms (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	2951	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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simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	268
1	21	163
2	31	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	525	163
9	670	163
10	716	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)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (log.f64 (/.f64 y x)))
✓	17.0b	(log.f64 (/.f64 y x))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series101.0ms (1.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	y	@	-inf	(log.f64 (/.f64 y x))
18.0ms	y	@	0	(log.f64 (/.f64 y x))
16.0ms	x	@	-inf	(log.f64 (/.f64 y x))
13.0ms	x	@	0	(log.f64 (/.f64 y x))
6.0ms	y	@	inf	(log.f64 (/.f64 y x))

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify218.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

109 → 77

Calls

Call 1

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

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

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (exp.f64 y))
✓	0.0b	(/.f64 (fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y))) x)
✓	0.2b	(fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y)))
✓	10.1b	(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))

Compiler

Compiled 55 to 14 computations (74.5% saved)

series27.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(*.f64 x (exp.f64 y))
2.0ms	y	@	inf	(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
2.0ms	x	@	0	(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
2.0ms	y	@	-inf	(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
1.0ms	y	@	0	(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))

rewrite104.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
325×	`pow-prod-down_binary64`
290×	`pow2_binary64`
223×	`pow-unpow_binary64`
205×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	255	57
2	3629	7

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

Inputs
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y)))
(/.f64 (fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y))) x)
(*.f64 x (exp.f64 y))

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

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

941×	`times-frac_binary64`
744×	`associate-/l*_binary64`
551×	`cancel-sign-sub-inv_binary64`
492×	`fma-neg_binary64`
370×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1472
1	233	1454
2	681	1445
3	2763	1432

Stop Event

1×	node limit

Counts

161 → 109

Calls

Call 1

Inputs
(/.f64 (pow.f64 y 2) x)
(+.f64 (/.f64 (pow.f64 y 2) x) (*.f64 -1 (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) x)) (.f64 1/2 (/.f64 (pow.f64 y 4) x))))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) x)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 4) x)) (*.f64 -1/6 (/.f64 (pow.f64 y 5) x)))))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) 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 y) (.f64 -1 (.f64 (+.f64 1/6 (.f64 1/2 (/.f64 1 x))) (pow.f64 y 3))))))
(.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x)))
(+.f64 (exp.f64 (.f64 -1 y)) (.f64 1/2 (/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))))
(+.f64 (exp.f64 (.f64 -1 y)) (.f64 1/2 (/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))))
(+.f64 (exp.f64 (.f64 -1 y)) (.f64 1/2 (/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))))
(.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(exp.f64 (neg.f64 y))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(exp.f64 (neg.f64 y))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(/.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 (/.f64 (.f64 (+.f64 1/6 (.f64 1/2 (/.f64 1 x))) (pow.f64 y 3)) x)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y x)))))
(.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (*.f64 -1 y)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (*.f64 -1 y)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (*.f64 -1 y)) x))
(.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(/.f64 (exp.f64 (neg.f64 y)) x)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.f64 y)) x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) (pow.f64 x 2)))) (/.f64 (exp.f64 (neg.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)
(*.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)

Outputs
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) (*.f64 -1 (/.f64 (pow.f64 y 3) x)))
(+.f64 (/.f64 (*.f64 y y) x) (neg.f64 (/.f64 (pow.f64 y 3) x)))
(-.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) x))
(-.f64 (*.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 3) x))
(.f64 (/.f64 y x) (-.f64 y (.f64 y y)))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) x)) (.f64 1/2 (/.f64 (pow.f64 y 4) x))))
(+.f64 (/.f64 (.f64 y y) x) (fma.f64 -1 (/.f64 (pow.f64 y 3) x) (/.f64 (.f64 1/2 (pow.f64 y 4)) x)))
(+.f64 (/.f64 y (/.f64 x y)) (-.f64 (*.f64 1/2 (/.f64 (pow.f64 y 4) x)) (/.f64 (pow.f64 y 3) x)))
(fma.f64 1/2 (/.f64 (pow.f64 y 4) x) (-.f64 (*.f64 (/.f64 y x) y) (/.f64 (pow.f64 y 3) x)))
(fma.f64 1/2 (/.f64 (pow.f64 y 4) x) (.f64 (/.f64 y x) (-.f64 y (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) x)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 4) x)) (*.f64 -1/6 (/.f64 (pow.f64 y 5) x)))))
(+.f64 (/.f64 (.f64 y y) x) (fma.f64 -1 (/.f64 (pow.f64 y 3) x) (fma.f64 1/2 (/.f64 (pow.f64 y 4) x) (.f64 -1/6 (/.f64 (pow.f64 y 5) x)))))
(+.f64 (/.f64 y (/.f64 x y)) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 y 4) x) (*.f64 -1/6 (/.f64 (pow.f64 y 5) x))) (/.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 (/.f64 y x) y) (fma.f64 1/2 (/.f64 (pow.f64 y 4) x) (-.f64 (.f64 (/.f64 -1/6 x) (pow.f64 y 5)) (/.f64 (pow.f64 y 3) x))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 y 4) x) (.f64 (/.f64 y x) (-.f64 y (.f64 y y)))) (*.f64 (/.f64 -1/6 x) (pow.f64 y 5)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
(/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))
(/.f64 (.f64 y y) (.f64 x (exp.f64 y)))
(*.f64 (/.f64 y x) (/.f64 y (exp.f64 y)))
(/.f64 y (/.f64 (exp.f64 y) (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 1/2 (.f64 1/2 (/.f64 1 x)))) (+.f64 1 (*.f64 -1 y)))
(fma.f64 (*.f64 y y) (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (neg.f64 y)))
(-.f64 (fma.f64 (*.f64 y y) (+.f64 1/2 (/.f64 1/2 x)) 1) y)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 1/2 (.f64 1/2 (/.f64 1 x)))) (+.f64 1 (+.f64 (.f64 -1 y) (.f64 -1 (.f64 (+.f64 1/6 (.f64 1/2 (/.f64 1 x))) (pow.f64 y 3))))))
(fma.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (.f64 -1 (+.f64 y (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1/2 x) 1/6))))))
(fma.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (-.f64 1 y) (.f64 (pow.f64 y 3) (+.f64 (/.f64 1/2 x) 1/6))))
(-.f64 (fma.f64 (*.f64 y y) (+.f64 1/2 (/.f64 1/2 x)) 1) (fma.f64 (pow.f64 y 3) (+.f64 (/.f64 1/2 x) 1/6) y))
(.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x)))
(.f64 1/2 (/.f64 (.f64 y y) (*.f64 x (exp.f64 y))))
(.f64 1/2 (.f64 (/.f64 y x) (/.f64 y (exp.f64 y))))
(.f64 (.f64 (/.f64 y x) y) (/.f64 1/2 (exp.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (/.f64 y (/.f64 (exp.f64 y) (/.f64 y x))) (exp.f64 (neg.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (/.f64 y (/.f64 (exp.f64 y) (/.f64 y x))) (exp.f64 (neg.f64 y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (/.f64 y (/.f64 (exp.f64 y) (/.f64 y x))) (exp.f64 (neg.f64 y)))
(.f64 1/2 (/.f64 (pow.f64 y 2) (.f64 (exp.f64 y) x)))
(.f64 1/2 (/.f64 (.f64 y y) (*.f64 x (exp.f64 y))))
(.f64 1/2 (.f64 (/.f64 y x) (/.f64 y (exp.f64 y))))
(.f64 (.f64 (/.f64 y x) y) (/.f64 1/2 (exp.f64 y)))
(+.f64 (exp.f64 (.f64 -1 y)) (.f64 1/2 (/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))))
(fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (/.f64 y (/.f64 (exp.f64 y) (/.f64 y x))) (exp.f64 (neg.f64 y)))
(+.f64 (exp.f64 (.f64 -1 y)) (.f64 1/2 (/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))))
(fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (/.f64 y (/.f64 (exp.f64 y) (/.f64 y x))) (exp.f64 (neg.f64 y)))
(+.f64 (exp.f64 (.f64 -1 y)) (.f64 1/2 (/.f64 (pow.f64 y 2) (*.f64 (exp.f64 y) x))))
(fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y)))
(fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y (exp.f64 y))) (exp.f64 (neg.f64 y)))
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(.f64 x (+.f64 y (fma.f64 y (.f64 y 1/2) 1)))
(+.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 (.f64 y y) x) (fma.f64 1/6 (*.f64 x (pow.f64 y 3)) x)))
(fma.f64 y x (fma.f64 1/2 (.f64 y (.f64 y x)) (fma.f64 1/6 (*.f64 x (pow.f64 y 3)) x)))
(fma.f64 x (.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/6))) (fma.f64 y x x))
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (exp.f64 y))

Compiler

Compiled 17 to 7 computations (58.8% saved)

eval166.0ms (2%)

Compiler: Compiled 6293 to 3733 computations (40.7% saved)

prune95.0ms (1.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	411	2	413
Fresh	0	0	0
Picked	0	1	1
Done	1	7	8
Total	412	10	422

Error

Counts

422 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.7b	(/.f64 (fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y))) x)
▶	25.4b	(+.f64 (/.f64 1 x) (-.f64 (.f64 (.f64 y (/.f64 1/2 x)) (+.f64 y (/.f64 y x))) (/.f64 y x)))
✓	24.1b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	39.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	9.2b	(/.f64 1 x)
✓	15.3b	(pow.f64 (*.f64 x (exp.f64 y)) -1)
✓	15.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	45.7b	(-.f64 (/.f64 1 x) (log.f64 (/.f64 y x)))
▶	23.1b	(-.f64 (+.f64 1 (/.f64 1 x)) 1)
✓	24.1b	(/.f64 (-.f64 1 y) x)

Compiler

Compiled 102 to 69 computations (32.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 x) (-.f64 (.f64 (.f64 y (/.f64 1/2 x)) (+.f64 y (/.f64 y x))) (/.f64 y x)))
✓	0.1b	(.f64 (.f64 y (/.f64 1/2 x)) (+.f64 y (/.f64 y x)))
✓	0.2b	(*.f64 y (/.f64 1/2 x))
✓	5.2b	(-.f64 (.f64 (.f64 y (/.f64 1/2 x)) (+.f64 y (/.f64 y x))) (/.f64 y x))

Compiler

Compiled 70 to 30 computations (57.1% saved)

series15.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite272.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`log-prod_binary64`
479×	`fma-neg_binary64`
291×	`log-div_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	311	73
2	4964	73

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

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

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

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

629×	`unsub-neg_binary64`
584×	`associate-/l*_binary64`
576×	`fma-def_binary64`
531×	`div-sub_binary64`
465×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1777
1	146	1756
2	352	1483
3	1295	1475
4	6119	1475

Stop Event

1×	node limit

Counts

313 → 245

Calls

Call 1

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

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

localize34.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.3b	(-.f64 (+.f64 1 (/.f64 1 x)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
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	@	-inf	(-.f64 (+.f64 1 (/.f64 1 x)) 1)

rewrite58.0ms (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	10
1	139	4
2	2008	4

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	6	48

Stop Event

1×

saturated

Counts

58 → 46

Calls

Call 1

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

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

eval284.0ms (3.5%)

Compiler: Compiled 7568 to 3668 computations (51.5% saved)

prune90.0ms (1.1%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	288	3	291
Fresh	0	0	0
Picked	0	1	1
Done	1	8	9
Total	289	12	301

Error

Counts

301 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.1b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	39.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	9.2b	(/.f64 1 x)
✓	15.3b	(pow.f64 (*.f64 x (exp.f64 y)) -1)
	24.0b	(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 y x) (.f64 y 1/2)) (/.f64 y x)))
✓	24.1b	(/.f64 (-.f64 1 y) x)
✓	15.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
	36.1b	(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 x) -1) (+.f64 (/.f64 1 x) -1))) (-.f64 1 (+.f64 (/.f64 1 x) -1)))
✓	45.7b	(-.f64 (/.f64 1 x) (log.f64 (/.f64 y x)))
✓	19.7b	(/.f64 (fma.f64 1/2 (/.f64 (.f64 y y) (.f64 x (exp.f64 y))) (exp.f64 (neg.f64 y))) x)
✓	23.1b	(-.f64 (+.f64 1 (/.f64 1 x)) 1)
	22.2b	(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) 2) (*.f64 (+.f64 (/.f64 1 x) 2) (/.f64 1 x))))

Compiler

Compiled 140 to 103 computations (26.4% saved)

regimes154.0ms (1.9%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
43.0ms	x
22.0ms	y

Results

Error	Segments	Branch
0.3b	3	`x`
1.0b	2	`y`
0.0b	5	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 196 to 114 computations (41.8% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.821038812747284e-92	6.171817728438786e-92
0.0ms	0.0	6.47633578971517e-309
0.0ms	-2.7454290924826716e-293	-2.152657607564562e-295
0.0ms	-2.4093665280317023e+37	-1.1808932430690059e+34

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes66.0ms (0.8%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	x
16.0ms	y

Results

Error	Segments	Branch
0.3b	3	`x`
1.0b	2	`y`

Compiler

Compiled 151 to 93 computations (38.4% saved)

bsearch357.0ms (4.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
254.0ms	1.0071701861996454e-7	0.0739686642619292
103.0ms	-154435.79031224144	-3.9477316774772435e-17

Compiler

Compiled 378 to 312 computations (17.5% saved)

regimes24.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	y
7.0ms	x

Results

Error	Segments	Branch
9.2b	1	`x`
1.0b	2	`y`

Compiler

Compiled 111 to 76 computations (31.5% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	152.39449157331316	367.75490426709985

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes8.0ms (0.1%)

Accuracy

Total -15.0b remaining (-163.7%)

Threshold costs -15.0b (-163.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
9.2b	1	`x`
9.2b	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	197
1	54	197
2	57	197
3	58	197

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -19999999999999999077525316404242284544) (/.f64 1 x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -3595386269724632/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 0) (-.f64 (+.f64 1 (/.f64 1 x)) 1) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 5871356456934583/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (pow.f64 (.f64 x (exp.f64 y)) -1) (.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 1 x))))))
(if (<=.f64 x -6490371073168535/162259276829213363391578010288128) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 1328165573307087616/18446744073709551616) (-.f64 (+.f64 1 (/.f64 1 x)) 1) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 200) (/.f64 1 x) (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(/.f64 1 x)

Outputs
(if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -19999999999999999077525316404242284544) (/.f64 1 x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -3595386269724632/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 0) (-.f64 (+.f64 1 (/.f64 1 x)) 1) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 5871356456934583/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (pow.f64 (.f64 x (exp.f64 y)) -1) (.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 1 x))))))
(if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -19999999999999999077525316404242284544) (/.f64 1 x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 0) (+.f64 (+.f64 1 (/.f64 1 x)) -1) (if (<=.f64 (/.f64 (exp.f64 (.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) 5871356456934583/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (pow.f64 (.f64 x (exp.f64 y)) -1) (.f64 (/.f64 1 x) (pow.f64 (/.f64 x (+.f64 x y)) x))))))
(if (<=.f64 x -6490371073168535/162259276829213363391578010288128) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 1328165573307087616/18446744073709551616) (-.f64 (+.f64 1 (/.f64 1 x)) 1) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x -6490371073168535/162259276829213363391578010288128) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 5188146770730811/72057594037927936) (+.f64 (+.f64 1 (/.f64 1 x)) -1) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 200) (/.f64 1 x) (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(if (<=.f64 y 200) (/.f64 1 x) (+.f64 (+.f64 1 (/.f64 1 x)) -1))
(/.f64 1 x)

Compiler

Compiled 138 to 73 computations (47.1% saved)

soundness759.0ms (9.3%)

Algorithm

8×	egg-herbie

Rules

702×	`associate-/l*_binary64`
702×	`associate-/l*_binary64`
702×	`associate-/l*_binary64`
586×	`associate-/r*_binary64`
586×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Compiler

Compiled 233 to 147 computations (36.9% saved)

end56.0ms (0.7%)

Compiler: Compiled 132 to 64 computations (51.5% saved)

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

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

Iter	Nodes	Cost
0	11	268
1	21	163
2	31	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	525	163
9	670	163
10	716	163

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

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

Iter	Nodes	Cost
0	11	268
1	21	163
2	31	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	525	163
9	670	163
10	716	163

Details

analyze237.0ms (2.9%)

sample3.1s (38.4%)

preprocess121.0ms (1.5%)

simplify100.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series56.0ms (0.7%)

rewrite99.0ms (1.2%)

simplify112.0ms (1.4%)

eval141.0ms (1.7%)

prune36.0ms (0.4%)

localize3.0ms (0%)

localize5.0ms (0.1%)

series10.0ms (0.1%)

rewrite65.0ms (0.8%)

simplify32.0ms (0.4%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite92.0ms (1.1%)

simplify33.0ms (0.4%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite50.0ms (0.6%)

simplify50.0ms (0.6%)

localize7.0ms (0.1%)

series68.0ms (0.8%)

rewrite70.0ms (0.9%)

simplify67.0ms (0.8%)

eval56.0ms (0.7%)

prune32.0ms (0.4%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite80.0ms (1%)

simplify33.0ms (0.4%)

localize10.0ms (0.1%)

series101.0ms (1.2%)

rewrite75.0ms (0.9%)

simplify218.0ms (2.7%)

localize41.0ms (0.5%)

series27.0ms (0.3%)

rewrite104.0ms (1.3%)

simplify101.0ms (1.2%)

localize11.0ms (0.1%)

eval166.0ms (2%)

prune95.0ms (1.2%)

localize24.0ms (0.3%)

series15.0ms (0.2%)

rewrite272.0ms (3.3%)

simplify126.0ms (1.5%)

localize34.0ms (0.4%)

series1.0ms (0%)

rewrite58.0ms (0.7%)

simplify10.0ms (0.1%)

eval284.0ms (3.5%)

prune90.0ms (1.1%)

regimes154.0ms (1.9%)

bsearch1.0ms (0%)

regimes66.0ms (0.8%)

bsearch357.0ms (4.4%)

regimes24.0ms (0.3%)

bsearch23.0ms (0.3%)

regimes8.0ms (0.1%)

simplify10.0ms (0.1%)

soundness759.0ms (9.3%)

end56.0ms (0.7%)

Profiling

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

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

Iter	Nodes	Cost
0	11	268
1	21	163
2	31	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	525	163
9	670	163
10	716	163