Details

analyze255.0ms (2.7%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample3.4s (35.9%)

Results

1.3s	1799×	body	1024	valid
954.0ms	5313×	body	256	valid
475.0ms	990×	body	512	valid
196.0ms	154×	body	2048	valid
177.0ms	193×	body	1024	infinite
117.0ms	247×	body	512	infinite
65.0ms	405×	body	256	infinite
64.0ms	511×	body	256	invalid

Bogosity

preprocess85.0ms (0.9%)

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)

simplify62.0ms (0.7%)

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

15.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.3b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 11 to 6 computations (45.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	9.2b	(pow.f64 (/.f64 x (+.f64 x y)) x)

Compiler

Compiled 28 to 6 computations (78.6% saved)

series24.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

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

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

simplify112.0ms (1.2%)

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)))))

eval153.0ms (1.6%)

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

prune58.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Error

Counts

215 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.6b	(fma.f64 (.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 1/2 (.f64 x x))) (-.f64 (/.f64 1 x) (/.f64 y x)))
▶	24.5b	(/.f64 (-.f64 1 y) x)
▶	14.2b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	10.5b	(/.f64 1 x)
▶	41.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
	29.6b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)) -2)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)))

Compiler

Compiled 150 to 90 computations (40% saved)

localize5.0ms (0.1%)

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

localize9.0ms (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)

series5.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 8 (0.0ms)

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

Stop Event

1×

saturated

Counts

45 → 38

Calls

Call 1

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

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

localize10.0ms (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)

series5.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 39

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	6.8b	(pow.f64 (/.f64 x y) x)

Compiler

Compiled 19 to 5 computations (73.7% saved)

series96.0ms (1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	y	@	0	(pow.f64 (/.f64 x y) x)
34.0ms	y	@	-inf	(pow.f64 (/.f64 x y) x)
15.0ms	y	@	inf	(pow.f64 (/.f64 x y) x)
1.0ms	x	@	-inf	(/.f64 (pow.f64 (/.f64 x y) x) x)
1.0ms	x	@	0	(pow.f64 (/.f64 x y) x)

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

95 → 71

Calls

Call 1

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

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

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1/2 (*.f64 x x)))
✓	0.0b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	0.7b	(/.f64 1/2 (*.f64 x x))
✓	14.0b	(fma.f64 (.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 1/2 (.f64 x x))) (-.f64 (/.f64 1 x) (/.f64 y x)))

Compiler

Compiled 62 to 30 computations (51.6% saved)

series14.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(fma.f64 (.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 1/2 (.f64 x x))) (-.f64 (/.f64 1 x) (/.f64 y x)))
1.0ms	x	@	-inf	(fma.f64 (.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 1/2 (.f64 x x))) (-.f64 (/.f64 1 x) (/.f64 y x)))
1.0ms	y	@	0	(fma.f64 (.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 1/2 (.f64 x x))) (-.f64 (/.f64 1 x) (/.f64 y x)))
1.0ms	x	@	inf	(fma.f64 (.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 1/2 (.f64 x x))) (-.f64 (/.f64 1 x) (/.f64 y x)))
1.0ms	y	@	inf	(fma.f64 (.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 1/2 (.f64 x x))) (-.f64 (/.f64 1 x) (/.f64 y x)))

rewrite183.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`fma-def_binary64`
373×	`log-div_binary64`
364×	`fma-neg_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	325	49
2	5026	49

Stop Event

1×	node limit

Counts

4 → 288

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 y) x) (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))) (/.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))) 1) (/.f64 (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 y y) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)) (/.f64 1 x)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (.f64 y y) (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)) (/.f64 1 x)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))) 2) (cbrt.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))) (sqrt.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))) 3) (pow.f64 (/.f64 (-.f64 1 y) x) 3)) (fma.f64 (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))) (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))) (-.f64 (pow.f64 (/.f64 (-.f64 1 y) x) 2) (.f64 (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))) (/.f64 (-.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))) (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))))) (pow.f64 (/.f64 (-.f64 1 y) x) 2)) (-.f64 (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))) (/.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 (-.f64 1 y) x)) (exp.f64 (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 y) x))) (exp.f64 (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))))) (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 y (*.f64 y (fma.f64 1/2 (pow.f64 x -2) (/.f64 1/2 x))) (/.f64 (-.f64 1 y) x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -1/2) (/.f64 (/.f64 1/2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 1/2 x)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1/2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1/2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/8 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))) 1))))))
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x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (.f64 1/2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (.f64 x (neg.f64 x))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (.f64 1/2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) 1/2 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 x)) x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 1/2 x)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 x)) x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1/2 x) (cbrt.f64 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 x)) (cbrt.f64 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1/2 x)) (sqrt.f64 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (.f64 1/2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (.f64 1/2 (pow.f64 x -2)))))))

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

488×	`fma-def_binary64`
458×	`distribute-rgt-neg-in_binary64`
391×	`cancel-sign-sub_binary64`
364×	`distribute-lft-neg-in_binary64`
317×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	1098
1	112	909
2	270	882
3	830	848
4	4528	848

Stop Event

1×	node limit

Counts

360 → 311

Calls

Call 1

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

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

eval437.0ms (4.7%)

Compiler: Compiled 9945 to 5201 computations (47.7% saved)

prune81.0ms (0.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	454	5	459
Fresh	1	0	1
Picked	1	0	1
Done	0	4	4
Total	456	9	465

Error

Counts

465 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.9b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 y) x)) 1)
✓	24.5b	(/.f64 (-.f64 1 y) x)
✓	14.2b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	10.5b	(/.f64 1 x)
✓	41.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
▶	53.1b	(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3)))
▶	24.5b	(fma.f64 (/.f64 y x) (+.f64 -1 (*.f64 y 1/2)) (/.f64 1 x))
▶	61.7b	(.f64 (/.f64 y x) (.f64 y (+.f64 1/2 (/.f64 1/2 x))))
▶	61.4b	(/.f64 (neg.f64 y) x)

Compiler

Compiled 144 to 103 computations (28.5% saved)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 (/.f64 y x) (+.f64 -1 (*.f64 y 1/2)) (/.f64 1 x))
1.0ms	x	@	-inf	(fma.f64 (/.f64 y x) (+.f64 -1 (*.f64 y 1/2)) (/.f64 1 x))
1.0ms	y	@	0	(fma.f64 (/.f64 y x) (+.f64 -1 (*.f64 y 1/2)) (/.f64 1 x))
1.0ms	y	@	-inf	(fma.f64 (/.f64 y x) (+.f64 -1 (*.f64 y 1/2)) (/.f64 1 x))
0.0ms	x	@	inf	(fma.f64 (/.f64 y x) (+.f64 -1 (*.f64 y 1/2)) (/.f64 1 x))

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`log-prod_binary64`
396×	`exp-prod_binary64`
329×	`pow-prod-down_binary64`
285×	`pow2_binary64`
243×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	228	15
2	2845	15

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

489×	`div-sub_binary64`
410×	`distribute-rgt-neg-in_binary64`
362×	`fma-def_binary64`
357×	`fma-neg_binary64`
316×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	464
1	68	426
2	142	426
3	346	272
4	1135	272
5	3775	269
6	5998	269

Stop Event

1×	node limit

Counts

60 → 48

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

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

localize5.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 1 y) x)
✓	4.7b	(-.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)

rewrite101.0ms (1.1%)

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

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

simplify92.0ms (1%)

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)))

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 21 computations (38.2% saved)

series31.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(.f64 (/.f64 y x) (.f64 y (+.f64 1/2 (/.f64 1/2 x))))
2.0ms	y	@	0	(.f64 (/.f64 y x) (.f64 y (+.f64 1/2 (/.f64 1/2 x))))
1.0ms	y	@	0	(*.f64 y (+.f64 1/2 (/.f64 1/2 x)))
1.0ms	x	@	inf	(.f64 (/.f64 y x) (.f64 y (+.f64 1/2 (/.f64 1/2 x))))
1.0ms	y	@	inf	(.f64 (/.f64 y x) (.f64 y (+.f64 1/2 (/.f64 1/2 x))))

rewrite126.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
399×	`pow-prod-down_binary64`
281×	`pow2_binary64`
265×	`prod-diff_binary64`
208×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	211	26
2	3084	26

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 1/2) (/.f64 y x)) (*.f64 (*.f64 1/2 (/.f64 y x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 y (/.f64 y x))) (*.f64 (/.f64 1/2 x) (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 x) (*.f64 y (/.f64 y x))) (*.f64 1/2 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)) (*.f64 (/.f64 y x) (*.f64 1/2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (/.f64 y x)) 1/2) (*.f64 (*.f64 y (/.f64 y x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (/.f64 y x)) (/.f64 1/2 x)) (*.f64 (*.f64 y (/.f64 y x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (/.f64 1/2 x))) (*.f64 y (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (/.f64 1/2 x))) (*.f64 y (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (/.f64 1/2 x))) (*.f64 y (/.f64 y x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (/.f64 1/2 x))) (*.f64 y (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (*.f64 y (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (*.f64 y y) (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y y) (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (*.f64 y (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (/.f64 y x)) (fma.f64 1/8 (pow.f64 x -3) 1/8)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (/.f64 y x)) (-.f64 1/4 (*.f64 1/4 (pow.f64 x -2)))) (-.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (*.f64 y y) (+.f64 1/2 (/.f64 1/2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1/2 (/.f64 1/2 x))) (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 x)) (*.f64 y (/.f64 y x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y x) (*.f64 y 1/2) (*.f64 (/.f64 y x) (*.f64 1/2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 y (/.f64 y x)) (*.f64 (/.f64 1/2 x) (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 x) (*.f64 y (/.f64 y x)) (*.f64 1/2 (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y 1/2) (/.f64 y x) (*.f64 (*.f64 1/2 (/.f64 y x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (/.f64 y x)) 1/2 (*.f64 (*.f64 y (/.f64 y x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (/.f64 y x)) (/.f64 1/2 x) (*.f64 (*.f64 y (/.f64 y x)) 1/2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 y x)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 1/2) (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 1/2) 1) (*.f64 (*.f64 1/2 (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 1/2 (/.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 1/2 (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 1/2) 3) (pow.f64 (*.f64 1/2 (/.f64 y x)) 3)) (+.f64 (pow.f64 (*.f64 y 1/2) 2) (-.f64 (pow.f64 (*.f64 1/2 (/.f64 y x)) 2) (*.f64 (*.f64 y 1/2) (*.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 1/2) 2) (pow.f64 (*.f64 1/2 (/.f64 y x)) 2)) (-.f64 (*.f64 y 1/2) (*.f64 1/2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/8 (pow.f64 x -3) 1/8) y) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 x -2))) y) (-.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 1/8 (pow.f64 x -3) 1/8)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1/4 (*.f64 1/4 (pow.f64 x -2)))) (-.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/2 (/.f64 y x))) (exp.f64 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 1/2 (/.f64 1/2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/2 (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1/2 x) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 y (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 y x) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 x) y (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (/.f64 y x)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 1/2) (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1/2) (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1/2 x)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) y) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1/2) (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1/2 x)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) y) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y 1/2) 1 (*.f64 (*.f64 1/2 (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y 1/2) (pow.f64 x -1) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 y x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 y x))) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (cbrt.f64 (*.f64 y 1/2)) (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 y x))) (sqrt.f64 (*.f64 1/2 (/.f64 y x))) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 1/2)) (sqrt.f64 (*.f64 y 1/2)) (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (*.f64 1/4 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/2 x)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y 1/2))))))

simplify141.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1262×	`associate-*l/_binary64`
937×	`associate-/l/_binary64`
728×	`associate-/r/_binary64`
595×	`unswap-sqr_binary64`
467×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	594
1	66	594
2	143	594
3	432	594
4	2291	594
5	3624	594
6	4000	594
7	4936	594
8	5087	594
9	5289	594

Stop Event

1×	node limit

Counts

148 → 114

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (/.f64 x y) x) 3)
	6.8b	(pow.f64 (/.f64 x y) x)
✓	8.8b	(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
✓	16.6b	(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3)))

Compiler

Compiled 46 to 20 computations (56.5% saved)

series56.0ms (0.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
41.0ms	x	@	-inf	(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
3.0ms	x	@	-inf	(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3)))
2.0ms	y	@	0	(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
2.0ms	y	@	-inf	(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))
2.0ms	y	@	inf	(/.f64 (pow.f64 (pow.f64 (/.f64 x y) x) 3) (pow.f64 x 3))

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
332×	`pow-prod-down_binary64`
328×	`pow-unpow_binary64`
306×	`pow-pow_binary64`
270×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	231	33
2	2891	33

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

883×	`fma-def_binary64`
397×	`+-commutative_binary64`
380×	`unswap-sqr_binary64`
289×	`distribute-rgt-in_binary64`
286×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1681
1	384	1441
2	1511	1258
3	6082	1197

Stop Event

1×	node limit

Counts

204 → 171

Calls

Call 1

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

Outputs
(/.f64 1 x)
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 1 x) (log.f64 x)))
(+.f64 (/.f64 1 x) (log.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (.f64 1/2 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x)))))
(+.f64 (neg.f64 (log.f64 y)) (+.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (.f64 1/2 (.f64 x (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2)))))
(+.f64 (+.f64 (/.f64 1 x) (log.f64 (/.f64 x y))) (.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x 1/2)))
(+.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x 1/2) (/.f64 1 x)) (log.f64 (/.f64 x y)))
(+.f64 (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 x)) (log.f64 (/.f64 x y)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (.f64 1/2 (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2) x))))))
(fma.f64 1/6 (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) (.f64 x x)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (.f64 1/2 (.f64 x (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2))))))
(fma.f64 1/6 (.f64 x (.f64 x (pow.f64 (log.f64 (/.f64 x y)) 3))) (+.f64 (+.f64 (/.f64 1 x) (log.f64 (/.f64 x y))) (.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (.f64 x 1/2))))
(fma.f64 1/6 (.f64 x (.f64 x (pow.f64 (log.f64 (/.f64 x y)) 3))) (+.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 x 1/2) (/.f64 1 x)) (log.f64 (/.f64 x y))))
(fma.f64 x (.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (.f64 1/6 x)) (+.f64 (fma.f64 x (*.f64 1/2 (pow.f64 (log.f64 (/.f64 x y)) 2)) (/.f64 1 x)) (log.f64 (/.f64 x y))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(.f64 -1 (/.f64 (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (/.f64 x (cbrt.f64 -1))))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x y) x))) x)
(/.f64 (*.f64 (pow.f64 (/.f64 x y) x) (neg.f64 (cbrt.f64 -1))) x)
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (/.f64 x (cbrt.f64 -1))))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x y) x))) x)
(/.f64 (*.f64 (pow.f64 (/.f64 x y) x) (neg.f64 (cbrt.f64 -1))) x)
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (/.f64 x (cbrt.f64 -1))))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x y) x))) x)
(/.f64 (*.f64 (pow.f64 (/.f64 x y) x) (neg.f64 (cbrt.f64 -1))) x)
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (/.f64 (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (pow.f64 (/.f64 x y) x) (/.f64 x (cbrt.f64 -1))))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x y) x))) x)
(/.f64 (*.f64 (pow.f64 (/.f64 x y) x) (neg.f64 (cbrt.f64 -1))) x)
(*.f64 (/.f64 (pow.f64 (/.f64 x y) x) x) (neg.f64 (cbrt.f64 -1)))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) x)
(/.f64 (pow.f64 (/.f64 x y) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) x)
(/.f64 (pow.f64 (/.f64 -1 (/.f64 y (neg.f64 x))) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) x)
(/.f64 (pow.f64 (/.f64 -1 (/.f64 y (neg.f64 x))) x) x)
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) x)
(/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) x)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x)
(/.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) x)
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(fma.f64 x (.f64 3 (log.f64 (/.f64 x y))) (fma.f64 x (.f64 x (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) 9/2)) 1))
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(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 (/.f64 1 y)))) (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)) (.f64 1/3 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 3)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 2 (log.f64 x)) (+.f64 (.f64 2 (log.f64 (/.f64 1 y))) (log.f64 x)))) x) (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) 2)) (.f64 (+.f64 (.f64 2 (log.f64 x)) (*.f64 2 (log.f64 (/.f64 1 y)))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))))) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 (fma.f64 2 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) (+.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) (fma.f64 1/2 (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) (.f64 2 (fma.f64 -1 (log.f64 y) (log.f64 x)))) (.f64 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3) 1/2)))) (pow.f64 x 3) (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (+.f64 (.f64 2 (fma.f64 -1 (log.f64 y) (log.f64 x))) (log.f64 x))) x (.f64 (.f64 x x) (fma.f64 2 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 2) (.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) (.f64 2 (fma.f64 -1 (log.f64 y) (log.f64 x))))))))))
(+.f64 1 (fma.f64 (pow.f64 x 3) (+.f64 (.f64 1/2 (.f64 3 (pow.f64 (log.f64 (/.f64 x y)) 3))) (.f64 3 (pow.f64 (log.f64 (/.f64 x y)) 3))) (fma.f64 x (+.f64 (.f64 (log.f64 (/.f64 x y)) 2) (log.f64 (/.f64 x y))) (.f64 x (.f64 x (fma.f64 2 (pow.f64 (log.f64 (/.f64 x y)) 2) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) 5/2)))))))
(fma.f64 (pow.f64 x 3) (.f64 3/2 (.f64 3 (pow.f64 (log.f64 (/.f64 x y)) 3))) (fma.f64 x (.f64 3 (log.f64 (/.f64 x y))) (fma.f64 x (.f64 x (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) 9/2)) 1)))
(fma.f64 (pow.f64 x 3) (.f64 3/2 (.f64 3 (pow.f64 (log.f64 (/.f64 x y)) 3))) (fma.f64 x (.f64 3 (log.f64 (/.f64 x y))) (fma.f64 (.f64 x x) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) 9/2) 1)))
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) 2) (exp.f64 (.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)))
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) 2) (exp.f64 (.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)))
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) 2) (exp.f64 (.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)))
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(.f64 (pow.f64 (exp.f64 (.f64 (+.f64 (.f64 -1 (log.f64 y)) (log.f64 x)) x)) 2) (exp.f64 (.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))) x)))
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 x y) x) 3)
(pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) 3)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) 3)
(pow.f64 (pow.f64 (/.f64 -1 (/.f64 y (neg.f64 x))) x) 3)
(pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) 3)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) 3)
(pow.f64 (pow.f64 (/.f64 -1 (/.f64 y (neg.f64 x))) x) 3)
(pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) 3)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) 3)
(pow.f64 (pow.f64 (/.f64 -1 (/.f64 y (neg.f64 x))) x) 3)
(pow.f64 (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) x) 3)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 y) (neg.f64 x)) x) 3)
(pow.f64 (pow.f64 (/.f64 -1 (/.f64 y (neg.f64 x))) x) 3)

eval332.0ms (3.6%)

Compiler: Compiled 9719 to 5585 computations (42.5% saved)

prune198.0ms (2.1%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	545	5	550
Fresh	0	0	0
Picked	1	0	1
Done	2	6	8
Total	548	11	559

Error

Counts

559 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.2b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	61.4b	(.f64 y (.f64 y (/.f64 1/2 x)))
✓	10.5b	(/.f64 1 x)
✓	41.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
▶	61.4b	(.f64 (/.f64 y x) (.f64 y 1/2))
✓	24.5b	(fma.f64 (/.f64 y x) (+.f64 -1 (*.f64 y 1/2)) (/.f64 1 x))
✓	24.5b	(/.f64 (-.f64 1 y) x)
▶	24.5b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 y) 1) y) 1) x)
✓	61.4b	(/.f64 (neg.f64 y) x)
▶	38.3b	(cbrt.f64 (/.f64 1 (pow.f64 x 3)))
▶	24.3b	(-.f64 (+.f64 1 (/.f64 1 x)) 1)

Compiler

Compiled 144 to 107 computations (25.7% saved)

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.6b	(-.f64 (+.f64 1 (/.f64 1 x)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite77.0ms (0.8%)

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)))))

simplify17.0ms (0.2%)

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)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series12.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`pow1_binary64`
671×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
658×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1841	17

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify209.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1371×	`associate-*l/_binary64`
1103×	`associate-*r/_binary64`
349×	`sqr-pow_binary64`
317×	`*-commutative_binary64`
242×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	408
1	21	408
2	37	408
3	69	408
4	185	408
5	690	408
6	1804	408
7	2823	408
8	2933	408
9	3076	408
10	3257	408
11	3527	408
12	3853	408
13	5337	408
14	7990	408

Stop Event

1×	node limit

Counts

89 → 45

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 y x) (.f64 y 1/2))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 (/.f64 y x) (.f64 y 1/2))
0.0ms	y	@	inf	(.f64 (/.f64 y x) (.f64 y 1/2))
0.0ms	y	@	-inf	(.f64 (/.f64 y x) (.f64 y 1/2))
0.0ms	x	@	inf	(.f64 (/.f64 y x) (.f64 y 1/2))
0.0ms	x	@	-inf	(.f64 (/.f64 y x) (.f64 y 1/2))

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
708×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	1936	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(.f64 (/.f64 y x) (.f64 y 1/2))

Outputs

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

simplify141.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

715×	`associate-/l/_binary64`
524×	`associate-l_binary64`
508×	`*-commutative_binary64`
470×	`sqr-pow_binary64`
446×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	16	240
2	30	240
3	61	240
4	166	240
5	608	240
6	2641	240
7	3711	240
8	3921	240
9	4141	240
10	4369	240
11	4706	240
12	6267	240
13	6934	240
14	7732	240

Stop Event

1×	node limit

Counts

47 → 25

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (.f64 1/2 y) 1) y)
✓	2.9b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 y) 1) y) 1) x)

Compiler

Compiled 41 to 30 computations (26.8% saved)

series5.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
503×	`prod-diff_binary64`
318×	`pow-prod-down_binary64`
274×	`pow2_binary64`
252×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	222	20
2	2958	20

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (fma.f64 1/2 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 y) y) (*.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 1/2 y)) (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 1/2 y -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 1/2 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 1/2 y -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 1/2 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (fma.f64 1/2 y -1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/8 (pow.f64 y 3) -1) y) (fma.f64 1/4 (*.f64 y y) (fma.f64 1/2 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/4 (*.f64 y y) -1) y) (fma.f64 1/2 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 1/8 (pow.f64 y 3) -1)) (fma.f64 1/4 (*.f64 y y) (fma.f64 1/2 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 1/4 (*.f64 y y) -1)) (fma.f64 1/2 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (fma.f64 1/2 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 1/2 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (fma.f64 1/2 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (fma.f64 1/2 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 1/2 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (fma.f64 1/2 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 1/2 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 1/2 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (fma.f64 1/2 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (fma.f64 1/2 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 y (fma.f64 1/2 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (fma.f64 1/2 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (fma.f64 1/2 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 1/2 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (fma.f64 1/2 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (fma.f64 1/2 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (fma.f64 1/2 y -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 1/2 y) (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 y) y (*.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (fma.f64 1/2 y -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y (fma.f64 1/2 y -1) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y (fma.f64 1/2 y -1) 1)) (cbrt.f64 (pow.f64 (fma.f64 y (fma.f64 1/2 y -1) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 y (fma.f64 1/2 y -1) 1) 2)) (cbrt.f64 (fma.f64 y (fma.f64 1/2 y -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (fma.f64 1/2 y -1) 1)) (sqrt.f64 (fma.f64 y (fma.f64 1/2 y -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 y (fma.f64 1/2 y -1)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (fma.f64 1/2 y -1)) 2) (-.f64 1 (*.f64 y (fma.f64 1/2 y -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 y (fma.f64 1/2 y -1)) 2) -1) (/.f64 1 (fma.f64 y (fma.f64 1/2 y -1) -1)) -1)))))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

723×	`distribute-rgt-neg-in_binary64`
555×	`distribute-lft-neg-in_binary64`
551×	`fma-def_binary64`
420×	`cancel-sign-sub-inv_binary64`
413×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	395
1	57	355
2	98	355
3	185	355
4	535	264
5	1868	262
6	6127	262

Stop Event

1×	node limit

Counts

107 → 96

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (pow.f64 x 3))
✓	41.2b	(cbrt.f64 (/.f64 1 (pow.f64 x 3)))

Compiler

Compiled 19 to 15 computations (21.1% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (pow.f64 x 3))
0.0ms	x	@	-inf	(/.f64 1 (pow.f64 x 3))
0.0ms	x	@	0	(cbrt.f64 (/.f64 1 (pow.f64 x 3)))
0.0ms	x	@	-inf	(cbrt.f64 (/.f64 1 (pow.f64 x 3)))
0.0ms	x	@	inf	(cbrt.f64 (/.f64 1 (pow.f64 x 3)))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`pow1_binary64`
534×	`add-log-exp_binary64`
533×	`log1p-expm1-u_binary64`
533×	`expm1-log1p-u_binary64`
519×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	150	8
2	1570	8

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`fma-neg_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	64
1	14	64
2	20	64
3	26	64
4	32	64
5	40	64
6	48	64
7	58	64
8	66	64
9	80	64

Stop Event

1×

saturated

Counts

65 → 55

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 (/.f64 (cbrt.f64 -1) x))
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(*.f64 -1 (/.f64 (cbrt.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 (/.f64 (cbrt.f64 -1) x))
(neg.f64 (/.f64 (cbrt.f64 -1) x))
(/.f64 (neg.f64 (cbrt.f64 -1)) x)
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(neg.f64 (/.f64 (cbrt.f64 -1) x))
(/.f64 (neg.f64 (cbrt.f64 -1)) x)
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(neg.f64 (/.f64 (cbrt.f64 -1) x))
(/.f64 (neg.f64 (cbrt.f64 -1)) x)
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(neg.f64 (/.f64 (cbrt.f64 -1) x))
(/.f64 (neg.f64 (cbrt.f64 -1)) x)

eval91.0ms (1%)

Compiler: Compiled 2954 to 2137 computations (27.7% saved)

prune121.0ms (1.3%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	264	3	267
Fresh	0	0	0
Picked	1	0	1
Done	1	9	10
Total	266	12	278

Error

Counts

278 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.2b	(/.f64 (exp.f64 (neg.f64 y)) x)
	24.7b	(/.f64 (+.f64 (.f64 y (.f64 y 1/2)) 1) x)
✓	61.4b	(.f64 y (.f64 y (/.f64 1/2 x)))
✓	10.5b	(/.f64 1 x)
✓	41.5b	(/.f64 (pow.f64 (/.f64 x y) x) x)
✓	61.4b	(.f64 (/.f64 y x) (.f64 y 1/2))
✓	24.5b	(fma.f64 (/.f64 y x) (+.f64 -1 (*.f64 y 1/2)) (/.f64 1 x))
✓	24.5b	(/.f64 (-.f64 1 y) x)
	25.3b	(/.f64 (*.f64 (+.f64 (/.f64 1 x) 2) (/.f64 1 x)) (+.f64 (/.f64 1 x) 2))
✓	24.5b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 y) 1) y) 1) x)
✓	61.4b	(/.f64 (neg.f64 y) x)
	24.3b	(+.f64 (+.f64 (/.f64 1 x) -1) 1)

Compiler

Compiled 116 to 85 computations (26.7% saved)

regimes217.0ms (2.3%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

83.0ms	(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)
30.0ms	x
30.0ms	y

Results

Error	Segments	Branch
0.2b	3	`x`
0.8b	3	`y`
0.3b	5	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 221 to 128 computations (42.1% saved)

bsearch303.0ms (3.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
243.0ms	1.1732003968298775e-10	40.07853507127865
60.0ms	-234358273.75565743	-3.5409483493995965e-6

Compiler

Compiled 378 to 312 computations (17.5% saved)

regimes58.0ms (0.6%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	x
14.0ms	y

Results

Error	Segments	Branch
10.5b	1	`x`
1.9b	2	`y`

Compiler

Compiled 103 to 72 computations (30.1% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1.0471394985634261	179.49163600282515

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes11.0ms (0.1%)

Accuracy

Total -50.9b remaining (-484.6%)

Threshold costs -50.9b (-484.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

2 calls:

6.0ms	x
4.0ms	y

Results

Error	Segments	Branch
10.5b	1	`x`
10.5b	1	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	62
1	27	62
2	29	62
3	30	62

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 x -8500259669165361/2361183241434822606848) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 40) (+.f64 (+.f64 (/.f64 1 x) -1) 1) (/.f64 (exp.f64 (neg.f64 y)) x)))

(if (<=.f64 y 100) (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 x) -1) 1))

(/.f64 1 x)

Outputs
(if (<=.f64 x -8500259669165361/2361183241434822606848) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 40) (+.f64 (+.f64 (/.f64 1 x) -1) 1) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 x -8500259669165361/2361183241434822606848) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x 40) (+.f64 1 (+.f64 (/.f64 1 x) -1)) (/.f64 (exp.f64 (neg.f64 y)) x)))
(if (<=.f64 y 100) (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 x) -1) 1))
(if (<=.f64 y 100) (/.f64 1 x) (+.f64 1 (+.f64 (/.f64 1 x) -1)))
(/.f64 1 x)

Compiler

Compiled 48 to 34 computations (29.2% saved)

soundness354.0ms (3.8%)

Algorithm

4×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Compiler

Compiled 103 to 68 computations (34% saved)

end31.0ms (0.3%)

Compiler: Compiled 44 to 30 computations (31.8% 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	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	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	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