Details

analyze797.0ms (13.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
3.1%	93.7%	3.2%	6
4.7%	89%	6.3%	7
19.5%	68.7%	11.8%	8
22.6%	61.3%	16.1%	9
26.5%	54%	19.4%	10
28.3%	49.9%	21.9%	11
30.4%	45.9%	23.7%	12
31.3%	43.7%	25%	13
32.3%	41.7%	25.9%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.9s (47.8%)

Results

1.2s	1799×	body	1024	valid
653.0ms	4714×	body	128	valid
430.0ms	1041×	body	512	valid
169.0ms	177×	body	2048	valid
151.0ms	525×	body	256	valid
117.0ms	196×	body	1024	invalid
116.0ms	239×	body	512	invalid
63.0ms	495×	body	128	invalid
53.0ms	164×	body	256	invalid

preprocess32.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

494×	`associate-l_binary64`
400×	`times-frac_binary64`
375×	`associate-/l*_binary64`
298×	`associate-/l/_binary64`
261×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	29	26
2	45	26
3	96	26
4	240	26
5	602	26
6	1629	26
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 13 to 8 computations (38.5% saved)

simplify29.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64`
255×	`fma-def_binary64`
248×	`associate-l_binary64`
206×	`div-sub_binary64`
200×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	13
2	25	13
3	54	13
4	133	13
5	326	13
6	874	13
7	3245	13

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)

eval18.0ms (0.3%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

10.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.8b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 22 to 12 computations (45.5% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	5.8b	(pow.f64 (/.f64 x (+.f64 x y)) x)

series28.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	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	@	0	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`prod-diff_binary64`
458×	`log-prod_binary64`
195×	`fma-def_binary64`
157×	`expm1-udef_binary64`
157×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	165	30
2	2521	30

Stop Event

1×	node limit

Counts

3 → 95

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

Outputs

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simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

289×	`fma-def_binary64`
210×	`+-commutative_binary64`
189×	`associate-r_binary64`
181×	`associate-+r+_binary64`
172×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	3273
1	953	2761
2	3866	2544

Stop Event

1×	node limit

Counts

167 → 190

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

eval101.0ms (1.7%)

Compiler: Compiled 5511 to 3137 computations (43.1% saved)

prune392.0ms (6.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	186	4	190
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	187	4	191

Error

Counts

191 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(/.f64 (-.f64 (fma.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x)) 1) (fma.f64 (pow.f64 y 3) (+.f64 1/6 (+.f64 (/.f64 1/3 (.f64 x x)) (/.f64 1/2 x))) y)) x)
	10.9b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	10.8b	(/.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 x (+.f64 x y)))) x) x)
	11.1b	(/.f64 1 x)

Compiler

Compiled 112 to 78 computations (30.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x y))
✓	1.2b	(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
✓	5.8b	(pow.f64 (exp.f64 (log.f64 (/.f64 x (+.f64 x y)))) x)
✓	7.7b	(log.f64 (/.f64 x (+.f64 x y)))

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
84×	`add-sqr-sqrt_binary64`
84×	`pow1_binary64`
82×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	165	26
2	2306	26

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

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

Outputs

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

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

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

309×	`fma-def_binary64`
212×	`+-commutative_binary64`
201×	`associate-+r+_binary64`
169×	`associate-r_binary64`
169×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	2573
1	870	2197
2	3705	1996

Stop Event

1×	node limit

Counts

164 → 182

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 x))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3)))) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (/.f64 (+.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))))) (pow.f64 x 4))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 2 (pow.f64 y 3)))) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (/.f64 (+.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))))) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 2 (pow.f64 y 3)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -6 (pow.f64 x 3)) (.f64 6 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 x)))))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (/.f64 x y))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (/.f64 x y)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 6 (pow.f64 x 3)) (.f64 -6 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (/.f64 x y))))))
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)))))

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

eval103.0ms (1.7%)

Compiler: Compiled 5565 to 3052 computations (45.2% saved)

prune743.0ms (12.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	231	2	233
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	233	4	237

Error

Counts

237 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.8b	(/.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 x (+.f64 x y)))) x) x)
	11.1b	(/.f64 1 x)
	29.2b	(/.f64 (-.f64 (fma.f64 (.f64 y y) (+.f64 1/2 (/.f64 1/2 x)) 1) (fma.f64 (pow.f64 y 3) (+.f64 (/.f64 1/2 x) (+.f64 1/6 (/.f64 1/3 (.f64 x x)))) y)) x)
▶	10.9b	(/.f64 (exp.f64 (neg.f64 y)) x)

Compiler

Compiled 99 to 70 computations (29.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite33.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	6
2	1659	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1034×	`fma-neg_binary64`
415×	`associate-l_binary64`
396×	`associate-r_binary64`
256×	`associate-/l*_binary64`
247×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	103
1	64	98
2	143	96
3	355	96
4	927	93
5	4234	91

Stop Event

1×	node limit

Counts

39 → 40

Calls

Call 1

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

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

eval7.0ms (0.1%)

Compiler: Compiled 384 to 184 computations (52.1% saved)

prune54.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	40	4	44

Error

Counts

44 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.8b	(/.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 x (+.f64 x y)))) x) x)
✓	10.9b	(/.f64 (exp.f64 (neg.f64 y)) x)
	11.1b	(/.f64 1 x)
▶	10.9b	(pow.f64 (*.f64 x (exp.f64 y)) -1)

Compiler

Compiled 46 to 33 computations (28.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(pow.f64 (*.f64 x (exp.f64 y)) -1)
1.0ms	x	@	0	(pow.f64 (*.f64 x (exp.f64 y)) -1)
1.0ms	x	@	-inf	(pow.f64 (*.f64 x (exp.f64 y)) -1)
1.0ms	y	@	inf	(pow.f64 (*.f64 x (exp.f64 y)) -1)
1.0ms	x	@	inf	(pow.f64 (*.f64 x (exp.f64 y)) -1)

rewrite36.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
580×	`add-log-exp_binary64`
580×	`log1p-expm1-u_binary64`
580×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

503×	`fma-def_binary64`
334×	`times-frac_binary64`
332×	`distribute-rgt-out_binary64`
276×	`associate-/l*_binary64`
240×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	417
1	103	392
2	254	385
3	704	381
4	2211	378

Stop Event

1×	node limit

Counts

86 → 55

Calls

Call 1

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

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

eval12.0ms (0.2%)

Compiler: Compiled 553 to 322 computations (41.8% saved)

prune59.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	55	4	59

Error

Counts

59 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.9b	(pow.f64 (*.f64 x (exp.f64 y)) -1)
	11.1b	(pow.f64 x -1)
✓	10.8b	(/.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 x (+.f64 x y)))) x) x)
✓	10.9b	(/.f64 (exp.f64 (neg.f64 y)) x)

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes77.0ms (1.3%)

Accuracy

Total -28.8b remaining (-4244.6%)

Threshold costs -28.8b (-4244.6%)

Counts

11 → 3

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
18.0ms	0.7b	3	`x`
36.0ms	3.9b	5	`y`
19.0ms	2.9b	3	`(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)`

Compiler

Compiled 133 to 78 computations (41.4% saved)

bsearch266.0ms (4.4%)

Algorithm

2×	binary-search

Steps

Time	Point		Range
193.0ms	220.0	∈ [	0.04537729847951415	,	222.87542901560604	]
73.0ms	-1.15e+39	∈ [	-4.037089707521679e+39	,	-1.1420806271226361e+39	]

Compiler

Compiled 205 to 160 computations (22% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	33
1	22	33
2	24	33
3	25	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1150000000000000059113909661398005186560) (pow.f64 (*.f64 x (exp.f64 y)) -1) (if (<=.f64 x 220) (pow.f64 x -1) (/.f64 (exp.f64 (neg.f64 y)) x)))

Outputs
(if (<=.f64 x -1150000000000000059113909661398005186560) (pow.f64 (*.f64 x (exp.f64 y)) -1) (if (<=.f64 x 220) (pow.f64 x -1) (/.f64 (exp.f64 (neg.f64 y)) x)))

end21.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 48 to 34 computations (29.2% saved)

Details

analyze797.0ms (13.1%)

sample2.9s (47.8%)

preprocess32.0ms (0.5%)

simplify29.0ms (0.5%)

eval18.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series28.0ms (0.5%)

rewrite55.0ms (0.9%)

simplify87.0ms (1.4%)

eval101.0ms (1.7%)

prune392.0ms (6.4%)

localize11.0ms (0.2%)

series8.0ms (0.1%)

rewrite51.0ms (0.8%)

simplify72.0ms (1.2%)

eval103.0ms (1.7%)

prune743.0ms (12.2%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite33.0ms (0.5%)

simplify31.0ms (0.5%)

eval7.0ms (0.1%)

prune54.0ms (0.9%)

localize4.0ms (0.1%)

series10.0ms (0.2%)

rewrite36.0ms (0.6%)

simplify31.0ms (0.5%)

eval12.0ms (0.2%)

prune59.0ms (1%)

regimes77.0ms (1.3%)

bsearch266.0ms (4.4%)

simplify2.0ms (0%)

end21.0ms (0.3%)

Profiling