Details

analyze744.0ms (16.8%)

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)

sample2.7s (61%)

Results

993.0ms	1677×	body	1024	valid
615.0ms	4781×	body	128	valid
441.0ms	1040×	body	512	valid
179.0ms	196×	body	2048	valid
159.0ms	562×	body	256	valid
107.0ms	185×	body	1024	invalid
84.0ms	222×	body	512	invalid
62.0ms	429×	body	128	invalid
39.0ms	165×	body	256	invalid

Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess30.0ms (0.7%)

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)

simplify44.0ms (1%)

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)

prune12.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

11.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	11.6b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 44 to 22 computations (50% 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))
✓	6.3b	(pow.f64 (/.f64 x (+.f64 x y)) x)

series30.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/.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	@	0	(pow.f64 (/.f64 x (+.f64 x y)) x)
2.0ms	x	@	inf	(pow.f64 (/.f64 x (+.f64 x y)) x)
2.0ms	y	@	inf	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite52.0ms (1.2%)

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 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 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 +.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 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 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 +.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 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)))))) (#(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))))))

Outputs

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simplify100.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

309×	`fma-def_binary64`
293×	`sub-neg_binary64`
254×	`+-commutative_binary64`
231×	`associate-+r+_binary64`
211×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	3601
1	1091	3493
2	4274	3191

Stop Event

1×	node limit

Counts

167 → 177

Calls

Call 1

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

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

prune144.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	174	3	177
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	4	178

Error

0.0b

Counts

178 → 4

Alt Table

Status	Error	Program
	20.5b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	11.6b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
	11.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	9.7b	(/.f64 1 x)

Compiler

Compiled 5211 to 2644 computations (49.3% saved)

localize2.0ms (0%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

0.0b

Counts

4 → 4

Alt Table

Status	Error	Program
	20.5b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	11.6b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
▶	11.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	9.7b	(/.f64 1 x)

Compiler

Compiled 48 to 32 computations (33.3% 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	y	@	inf	(/.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	x	@	0	(/.f64 (exp.f64 (neg.f64 y)) x)
0.0ms	x	@	inf	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite48.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 y (log.f64 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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 y (log.f64 x)))))))

simplify30.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

397×	`fma-neg_binary64`
389×	`cancel-sign-sub-inv_binary64`
351×	`associate-/l*_binary64`
325×	`fma-def_binary64`
264×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	60	96
2	143	96
3	374	96
4	1206	93
5	4880	93

Stop Event

1×	node limit

Counts

39 → 39

Calls

Call 1

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

prune19.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	39	4	43

Error

Counts

43 → 4

Alt Table

Status	Error	Program
▶	20.5b	(+.f64 (/.f64 1 x) (.f64 (/.f64 y x) (+.f64 (.f64 y 1/2) -1)))
✓	11.6b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	11.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	9.7b	(/.f64 1 x)

Compiler

Compiled 425 to 213 computations (49.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series12.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(+.f64 (/.f64 1 x) (.f64 (/.f64 y x) (+.f64 (.f64 y 1/2) -1)))
1.0ms	x	@	0	(.f64 (/.f64 y x) (+.f64 (.f64 y 1/2) -1))
1.0ms	y	@	inf	(.f64 (/.f64 y x) (+.f64 (.f64 y 1/2) -1))
1.0ms	x	@	inf	(+.f64 (/.f64 1 x) (.f64 (/.f64 y x) (+.f64 (.f64 y 1/2) -1)))
1.0ms	y	@	0	(.f64 (/.f64 y x) (+.f64 (.f64 y 1/2) -1))

rewrite65.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`fma-def_binary64`
272×	`fma-neg_binary64`
229×	`expm1-udef_binary64`
229×	`log1p-udef_binary64`
134×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	266	26
2	3804	26

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs

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

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-def_binary64`
432×	`fma-neg_binary64`
402×	`cancel-sign-sub-inv_binary64`
316×	`associate-/l*_binary64`
297×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	647
1	89	565
2	189	529
3	493	528
4	1553	526
5	4568	526

Stop Event

1×	node limit

Counts

207 → 175

Calls

Call 1

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

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

prune130.0ms (2.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	175	4	179

Error

Counts

179 → 4

Alt Table

Status	Error	Program
✓	20.5b	(+.f64 (/.f64 1 x) (.f64 (/.f64 y x) (+.f64 (.f64 y 1/2) -1)))
✓	11.6b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	11.3b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	9.7b	(/.f64 1 x)

Compiler

Compiled 3345 to 1907 computations (43% saved)

regimes64.0ms (1.5%)

Accuracy

Total 0.5b remaining (97.5%)

Threshold costs 0.5b (97.5%)

Counts

16 → 3

Compiler

Compiled 169 to 98 computations (42% saved)

bsearch54.0ms (1.2%)

Algorithm

2×	binary-search

Calls

2 calls:

41.0ms	x
13.0ms	x

Steps

Iters	Point		Range
8.8e-7	∈ [	5.348752500359124e-7	,	8.867211836144638e-7	]
-4.55e+30	∈ [	-2.2272231966022116e+31	,	-4.506797678405344e+30	]

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.1%)

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	19	33
1	24	33
2	26	33
3	27	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x -4550000000000000217138782535680) (pow.f64 (*.f64 x (exp.f64 y)) -1) (if (<=.f64 x 519460313115661/590295810358705651712) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))

Outputs
(if (<=.f64 x -4550000000000000217138782535680) (pow.f64 (*.f64 x (exp.f64 y)) -1) (if (<=.f64 x 519460313115661/590295810358705651712) (/.f64 1 x) (/.f64 (exp.f64 (neg.f64 y)) x)))

end64.0ms (1.4%)

Stop Event

1×

done

Compiler

Compiled 86 to 60 computations (30.2% saved)

Details

analyze744.0ms (16.8%)

sample2.7s (61%)

preprocess30.0ms (0.7%)

simplify44.0ms (1%)

prune12.0ms (0.3%)

localize5.0ms (0.1%)

series30.0ms (0.7%)

rewrite52.0ms (1.2%)

simplify100.0ms (2.3%)

prune144.0ms (3.3%)

localize2.0ms (0%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite48.0ms (1.1%)

simplify30.0ms (0.7%)

prune19.0ms (0.4%)

localize8.0ms (0.2%)

series12.0ms (0.3%)

rewrite65.0ms (1.5%)

simplify55.0ms (1.2%)

prune130.0ms (2.9%)

regimes64.0ms (1.5%)

bsearch54.0ms (1.2%)

simplify3.0ms (0.1%)

end64.0ms (1.4%)

Profiling