Details

analyze424.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
53.1%	42.1%	4.8%	7
59.3%	35.9%	4.8%	8
62.4%	30.4%	7.1%	9
64.8%	28.1%	7.1%	10
66%	25.8%	8.3%	11
66.9%	24.8%	8.3%	12
67.4%	23.7%	8.9%	13
67.9%	23.3%	8.9%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.0s (60.2%)

Results

2.6s	2575×	body	8192	exit
1.0s	7599×	body	128	valid
137.0ms	208×	body	1024	valid
116.0ms	281×	body	512	valid
40.0ms	163×	body	256	valid
10.0ms	79×	body	128	invalid
6.0ms	5×	body	2048	valid

Compiler

Compiled 24 to 18 computations (25% saved)

preprocess40.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

732×	`times-frac_binary64`
438×	`associate-/r/_binary64`
300×	`fma-def_binary64`
232×	`unswap-sqr_binary64`
157×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	32	22
2	45	22
3	71	22
4	101	22
5	150	22
6	231	22
7	320	22
8	425	22
9	543	22
10	635	22
11	675	22
12	823	22
13	1264	22
14	2823	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

369×	`times-frac_binary64`
363×	`associate-l_binary64`
285×	`associate-/l/_binary64`
280×	`associate-/l*_binary64`
262×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	30	11
3	47	11
4	66	11
5	100	11
6	154	11
7	205	11
8	273	11
9	352	11
10	414	11
11	440	11
12	519	11
13	747	11
14	1549	11
15	4642	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

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

0.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.8b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 36 to 22 computations (38.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.7b	(log1p.f64 (exp.f64 x))

series58.0ms (0.9%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
23.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms	x	@	0	(log1p.f64 (exp.f64 x))
1.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary64`
733×	`expm1-log1p-u_binary64`
732×	`log1p-expm1-u_binary64`
78×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	147	16
2	2012	16

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

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

Outputs

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

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

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-def_binary64`
237×	`distribute-lft-out_binary64`
196×	`sub-neg_binary64`
194×	`*-commutative_binary64`
188×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	356
1	81	350
2	201	337
3	652	321
4	2594	321
5	4861	321

Stop Event

1×	node limit

Counts

91 → 74

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 1/192 (pow.f64 x 4)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 y x))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (+.f64 (.f64 y x) (.f64 1/192 (pow.f64 x 4))))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(.f64 -1 (.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (.f64 x (.f64 x 1/8))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 1/192 (pow.f64 x 4)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)) (*.f64 1/192 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/2 x (.f64 x (.f64 x 1/8))) (*.f64 1/192 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2))))
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (fma.f64 (pow.f64 x 4) -1/192 (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 y x))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (*.f64 y x))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)) (*.f64 x y)))
(+.f64 (log.f64 2) (+.f64 (.f64 x (.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))) (+.f64 (.f64 y x) (.f64 1/192 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (.f64 x x) (.f64 1/2 x)) (fma.f64 y x (*.f64 1/192 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 x (.f64 x (.f64 x 1/8))) (-.f64 (log.f64 2) (fma.f64 x y (*.f64 1/192 (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 x 4) -1/192) (+.f64 (log.f64 2) (.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (fma.f64 (pow.f64 x 4) -1/192 (log.f64 2)))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

prune41.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Error

0.6b

Counts

75 → 3

Alt Table

Status

Error

Program

✓

0.8b

(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

17.7b

(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))

▶

10.7b

(fma.f64 x (-.f64 1/2 y) (log.f64 2))

Compiler

Compiled 1103 to 411 computations (62.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
2.0ms	y	@	0	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
1.0ms	x	@	-inf	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
1.0ms	x	@	inf	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
1.0ms	y	@	inf	(fma.f64 x (-.f64 1/2 y) (log.f64 2))

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
82×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	170	10
2	2028	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

336×	`fma-def_binary64`
260×	`fma-neg_binary64`
76×	`cancel-sign-sub-inv_binary64`
51×	`sub-neg_binary64`
41×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	308
1	40	252
2	85	216
3	161	216
4	287	216
5	436	216
6	659	216
7	970	216
8	1247	216
9	1272	216
10	1273	216

Stop Event

1×

saturated

Counts

47 → 33

Calls

Call 1

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

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

prune31.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	31	5	36

Error

0.6b

Counts

36 → 5

Alt Table

Status	Error	Program
✓	0.8b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	17.7b	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
	22.4b	(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
	28.7b	(fma.f64 1/2 x (log.f64 2))
▶	12.3b	(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)

Compiler

Compiled 480 to 357 computations (25.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	0.9b	(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
✓	1.1b	(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))

series358.0ms (5.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
320.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
27.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
3.0ms	x	@	0	(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
1.0ms	y	@	0	(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`unpow-prod-down_binary64`
404×	`log-prod_binary64`
251×	`pow2_binary64`
177×	`expm1-udef_binary64`
176×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	236	22
2	2492	22

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

866×	`fma-neg_binary64`
696×	`fma-def_binary64`
327×	`*-commutative_binary64`
303×	`cancel-sign-sub-inv_binary64`
202×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1215
1	340	1160
2	1253	902
3	4669	902

Stop Event

1×	node limit

Counts

108 → 115

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(-.f64 (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x))) (.f64 1/3 (.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))
(-.f64 (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)) (.f64 1/9 (.f64 (.f64 y (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))))) (+.f64 (.f64 1/3 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))))))
(-.f64 (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 5/54 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))) (+.f64 (.f64 5/648 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (pow.f64 x 3))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)) (.f64 1/9 (.f64 (.f64 y (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))))))) (+.f64 (.f64 1/3 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (+.f64 (.f64 5/108 (.f64 (.f64 y (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))) (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))) (.f64 5/81 (.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))))))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 1/3)
(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 2)) 1/9) (*.f64 y x))))
(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 2)) 1/9) (*.f64 y x)))))
(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 2)) 1/9) (.f64 y x))) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4)) 1/3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))))
(log.f64 2)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))

Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(-.f64 (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x))) (.f64 1/3 (.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))
(+.f64 (cbrt.f64 (log.f64 2)) (-.f64 (.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x)) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 x y)))))
(+.f64 (fma.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (cbrt.f64 (log.f64 2))) (.f64 (.f64 -1/3 (.f64 x y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))))
(+.f64 (cbrt.f64 (log.f64 2)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (-.f64 1/6 (.f64 1/3 y))))
(-.f64 (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)) (.f64 1/9 (.f64 (.f64 y (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))))) (+.f64 (.f64 1/3 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))))))
(-.f64 (+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (.f64 (.f64 1/9 (.f64 y (.f64 x x))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 x y)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 (.f64 x x) (.f64 y y))) (.f64 1/36 (.f64 (.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)))))))
(+.f64 (fma.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (cbrt.f64 (log.f64 2))) (-.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (.f64 x (.f64 x y))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 x y)) (fma.f64 1/9 (.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 (*.f64 x x) 1/36))))))
(+.f64 (fma.f64 y (.f64 1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)))) (cbrt.f64 (log.f64 2))) (-.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (-.f64 1/6 (.f64 1/3 y))) (.f64 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (+.f64 (.f64 1/9 (.f64 y y)) 1/36))))
(+.f64 (fma.f64 y (.f64 1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)))) (cbrt.f64 (log.f64 2))) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (-.f64 1/6 (.f64 1/3 y)) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (+.f64 (.f64 1/9 (*.f64 y y)) 1/36)))))
(-.f64 (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 5/54 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))) (+.f64 (.f64 5/648 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (pow.f64 x 3))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)) (.f64 1/9 (.f64 (.f64 y (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))))))) (+.f64 (.f64 1/3 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (+.f64 (.f64 5/108 (.f64 (.f64 y (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))) (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))) (.f64 5/81 (.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))))))))
(+.f64 (cbrt.f64 (log.f64 2)) (-.f64 (fma.f64 5/54 (.f64 (.f64 y y) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))))) (fma.f64 5/648 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)))) (fma.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (.f64 (.f64 1/9 (.f64 y (.f64 x x))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 x y)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 (.f64 x x) (.f64 y y))) (fma.f64 5/108 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (.f64 y (pow.f64 x 3))) (fma.f64 1/36 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (*.f64 (pow.f64 x 3) (pow.f64 y 3))))))))))
(+.f64 (cbrt.f64 (log.f64 2)) (-.f64 (fma.f64 5/54 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (.f64 y (pow.f64 x 3)))) (fma.f64 5/648 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (.f64 x (.f64 x y)))) (.f64 x (.f64 (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 x y)) (fma.f64 1/9 (.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (fma.f64 5/108 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (.f64 y (pow.f64 x 3))) (fma.f64 1/36 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (.f64 5/81 (*.f64 (pow.f64 x 3) (pow.f64 y 3))))))))))
(-.f64 (+.f64 (.f64 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)))) (+.f64 (.f64 (.f64 y y) 5/54) 5/648)) (+.f64 (fma.f64 y (.f64 1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)))) (cbrt.f64 (log.f64 2))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (-.f64 1/6 (.f64 1/3 y))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (+.f64 (.f64 1/9 (.f64 y y)) 1/36)) (.f64 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)))) (+.f64 (.f64 5/81 (pow.f64 y 3)) (.f64 y 5/108)))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 1/3)
(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)))
(cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))
(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 2)) 1/9) (*.f64 y x))))
(+.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 x 1/2))) (.f64 -1/3 (.f64 (.f64 x y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 2)) 1/18)))))
(+.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (.f64 (.f64 x (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18)))) -1/3))
(fma.f64 (.f64 (.f64 x y) -1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 2)) 1/9) (*.f64 y x)))))
(-.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 x 1/2))) (fma.f64 1/9 (.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 7)) 1/18))) (.f64 1/3 (.f64 (.f64 x y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 2)) 1/18))))))
(-.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 7)) 1/18) (.f64 y (.f64 x (.f64 x y))))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18)) (.f64 1/3 (*.f64 x y)))))
(+.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 7)) 1/18)) -1/9)) (fma.f64 (.f64 (.f64 x y) -1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(+.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 x (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 7)) 1/18)) (.f64 x (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 7)) 1/18)))) -1/9 (.f64 x (.f64 -1/3 (.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18)))))))
(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 2)) 1/9) (.f64 y x))) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4)) 1/3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))))
(-.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 x 1/2))) (fma.f64 1/9 (.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 7)) 1/18))) (fma.f64 1/3 (.f64 (.f64 x y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 2)) 1/18))) (.f64 5/81 (.f64 (.f64 (pow.f64 x 3) (pow.f64 y 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 4))))))))
(-.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 7)) 1/18) (.f64 y (.f64 x (.f64 x y))))) (fma.f64 1/3 (.f64 x (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4))) (.f64 5/81 (*.f64 (pow.f64 x 3) (pow.f64 y 3)))))))
(-.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (fma.f64 1/3 (.f64 (.f64 x y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) 1/18))) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 7)) 1/18)) (.f64 (.f64 y y) (.f64 1/9 (.f64 x x))) (.f64 5/81 (.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4))))))))
(log.f64 2)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(-.f64 (fma.f64 1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) (log.f64 2)) (.f64 (.f64 x y) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))))
(+.f64 (log.f64 2) (.f64 (.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) (-.f64 1/2 y)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(-.f64 (fma.f64 1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) (log.f64 2)) (.f64 (.f64 x y) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))))
(+.f64 (log.f64 2) (.f64 (.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) (-.f64 1/2 y)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(-.f64 (fma.f64 1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) (log.f64 2)) (.f64 (.f64 x y) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))))
(+.f64 (log.f64 2) (.f64 (.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(+.f64 (log.f64 2) (-.f64 (.f64 x 1/2) (.f64 (.f64 x y) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 4) 1/18)))))
(+.f64 (log.f64 2) (.f64 x (-.f64 1/2 (.f64 y (*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18))))))
(fma.f64 x (-.f64 1/2 (.f64 y (.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18)))) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(+.f64 (log.f64 2) (-.f64 (.f64 x 1/2) (.f64 (.f64 x y) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 4) 1/18)))))
(+.f64 (log.f64 2) (.f64 x (-.f64 1/2 (.f64 y (*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18))))))
(fma.f64 x (-.f64 1/2 (.f64 y (.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18)))) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(+.f64 (log.f64 2) (-.f64 (.f64 x 1/2) (.f64 (.f64 x y) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) 4) 1/18)))))
(+.f64 (log.f64 2) (.f64 x (-.f64 1/2 (.f64 y (*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18))))))
(fma.f64 x (-.f64 1/2 (.f64 y (.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 4) 1/18)))) (log.f64 2))

prune123.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	149	4	153

Error

0.6b

Counts

153 → 4

Alt Table

Status	Error	Program
✓	0.8b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	17.7b	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
	28.7b	(fma.f64 1/2 x (log.f64 2))
▶	14.3b	(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 3)

Compiler

Compiled 3263 to 2697 computations (17.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
✓	0.9b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3)
✓	0.9b	(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 3)
	1.1b	(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))

series77.0ms (1.2%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	(cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
9.0ms	y	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3)
7.0ms	y	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3)
6.0ms	x	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3)
3.0ms	y	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3)

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

224×	`expm1-udef_binary64`
223×	`log1p-udef_binary64`
198×	`log-pow_binary64`
155×	`add-sqr-sqrt_binary64`
149×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	71
1	343	41
2	3731	41

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs

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

(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3)

(cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) 1) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6)) 6) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/9 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) 1/3) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/9 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (*.f64 1/9 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/9 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))))

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

449×	`times-frac_binary64`
413×	`fma-def_binary64`
351×	`associate-/r*_binary64`
316×	`associate-/l*_binary64`
289×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	453	6224
1	1649	5981

Stop Event

1×	node limit

Counts

158 → 205

Calls

Call 1

Inputs
(log.f64 2)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(pow.f64 (pow.f64 (log.f64 2) 2) 1/9)
(-.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) x)) (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (.f64 2/9 (.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))))
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(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (-.f64 y 1/2)) (log.f64 (/.f64 -1 x))))) (.f64 1/9 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (-.f64 y 1/2)) (log.f64 (/.f64 -1 x)))))) (*.f64 (-.f64 y 1/2) x))))
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(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (-.f64 y 1/2)) (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (-.f64 y 1/2)) (log.f64 (/.f64 -1 x)))))) (.f64 (-.f64 y 1/2) x))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 (log.f64 2) 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (-.f64 y 1/2)) (log.f64 (/.f64 -1 x)))))) (.f64 (pow.f64 (-.f64 y 1/2) 2) (pow.f64 x 2)))) (.f64 68/2187 (/.f64 (.f64 (pow.f64 (log.f64 2) 3) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (-.f64 y 1/2)) (log.f64 (/.f64 -1 x)))))) (*.f64 (pow.f64 (-.f64 y 1/2) 3) (pow.f64 x 3)))))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 1/9)
(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1/9) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 8)) 1/9) (*.f64 y x))))
(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1/9) (+.f64 (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 17)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 8)) 1/9) (*.f64 y x)))))
(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1/9) (+.f64 (.f64 68/2187 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 26)) 1/9) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 17)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 8)) 1/9) (*.f64 y x))))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))
(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) y)) (.f64 1/9 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (*.f64 y x)))))
(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 (log.f64 2) 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) y)) (+.f64 (.f64 1/81 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) (pow.f64 y 2))) (+.f64 (.f64 4/81 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 (pow.f64 y 2) x))) (.f64 1/9 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (*.f64 y x))))))))
(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) (+.f64 (.f64 4/81 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 (pow.f64 y 2) x))) (+.f64 (.f64 34/729 (/.f64 (.f64 (pow.f64 (log.f64 2) 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 (pow.f64 y 3) (pow.f64 x 2)))) (+.f64 (.f64 68/2187 (/.f64 (.f64 (pow.f64 (log.f64 2) 3) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 (log.f64 2) 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) y)) (+.f64 (.f64 1/81 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) (pow.f64 y 2))) (+.f64 (.f64 17/4374 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) (pow.f64 y 3))) (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 y x))) (.f64 17/729 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (*.f64 (pow.f64 y 3) x))))))))))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))
(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) y)) (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (*.f64 y x)))))
(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (+.f64 (.f64 4/81 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (.f64 (pow.f64 y 2) x))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) y)) (+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (.f64 y x))) (+.f64 (.f64 1/81 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 y 2))) (.f64 4/81 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))))))
(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (+.f64 (.f64 4/81 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (.f64 (pow.f64 y 2) x))) (+.f64 (.f64 34/729 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 (log.f64 2) 2)) (.f64 (pow.f64 y 3) (pow.f64 x 2)))) (+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (.f64 y x))) (+.f64 (.f64 68/2187 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 (log.f64 2) 3)) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) y)) (+.f64 (.f64 17/729 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (.f64 (pow.f64 y 3) x))) (+.f64 (.f64 17/4374 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 y 3))) (+.f64 (.f64 1/81 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 y 2))) (.f64 4/81 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))))))))))

Outputs
(log.f64 2)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) x) (log.f64 2)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (*.f64 x y)))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) x) (log.f64 2)) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 x y))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) x) (log.f64 2)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (*.f64 x y)))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) x) (log.f64 2)) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 x y))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9) x)) (log.f64 2)) (.f64 (.f64 y x) (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) x) (log.f64 2)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (*.f64 x y)))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) x) (log.f64 2)) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 x y))))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 (.f64 x y) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/18)))))
(+.f64 (log.f64 2) (.f64 x (-.f64 1/2 (.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18)) y))))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 (.f64 x y) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/18)))))
(+.f64 (log.f64 2) (.f64 x (-.f64 1/2 (.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18)) y))))
(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/9) (.f64 y x)))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 (.f64 x y) (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 4) 1/18)))))
(+.f64 (log.f64 2) (.f64 x (-.f64 1/2 (.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18)) y))))
(pow.f64 (pow.f64 (log.f64 2) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))
(-.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) x)) (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (.f64 2/9 (.f64 (*.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))))
(+.f64 (fma.f64 1/9 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (.f64 -2/9 (.f64 (.f64 x y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)))))
(fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) x)) (fma.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (.f64 (.f64 x (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)))) -2/9)))
(-.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) x)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (.f64 7/81 (.f64 (.f64 y (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9))))) (+.f64 (.f64 7/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9) (pow.f64 x 2))) (+.f64 (.f64 2/9 (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (.f64 7/81 (.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9))))))
(-.f64 (+.f64 (fma.f64 1/9 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (.f64 (.f64 7/81 (.f64 y (.f64 x x))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18)))) (fma.f64 7/324 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18))) (fma.f64 2/9 (.f64 (.f64 x y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (.f64 (.f64 7/81 (.f64 (.f64 x x) (.f64 y y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18))))))
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(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) (+.f64 (.f64 4/81 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 (pow.f64 y 2) x))) (+.f64 (.f64 34/729 (/.f64 (.f64 (pow.f64 (log.f64 2) 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 (pow.f64 y 3) (pow.f64 x 2)))) (+.f64 (.f64 68/2187 (/.f64 (.f64 (pow.f64 (log.f64 2) 3) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 (log.f64 2) 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) y)) (+.f64 (.f64 1/81 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) (pow.f64 y 2))) (+.f64 (.f64 17/4374 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y))))) (pow.f64 y 3))) (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (.f64 y x))) (.f64 17/729 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 y)))))) (*.f64 (pow.f64 y 3) x))))))))))))
(-.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 y)))) (fma.f64 4/81 (.f64 (/.f64 (log.f64 2) (.f64 y y)) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 y)))) x)) (fma.f64 34/729 (/.f64 (pow.f64 (log.f64 2) 2) (/.f64 (.f64 (.f64 x x) (pow.f64 y 3)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 y)))))) (fma.f64 68/2187 (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 y 3)) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 y)))) (pow.f64 x 3))) (fma.f64 4/81 (/.f64 (pow.f64 (log.f64 2) 2) (/.f64 (.f64 (.f64 x x) (.f64 y y)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 y)))))) (fma.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 y)))) y) (fma.f64 1/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 y)))) (.f64 y y)) (fma.f64 17/4374 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 y)))) (pow.f64 y 3)) (fma.f64 1/9 (.f64 (/.f64 (log.f64 2) y) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 y)))) x)) (.f64 17/729 (.f64 (/.f64 (log.f64 2) (pow.f64 y 3)) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 y)))) x))))))))))))
(-.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (fma.f64 4/81 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (.f64 y y)) (/.f64 (log.f64 2) x)) (fma.f64 34/729 (.f64 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 x (pow.f64 y 3)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y)))) (fma.f64 68/2187 (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 x 3) (pow.f64 y 3))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y)))) (fma.f64 4/81 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (.f64 y y)) (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x x))) (fma.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) y) (fma.f64 1/81 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (.f64 y y)) (fma.f64 17/4374 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (pow.f64 y 3)) (fma.f64 17/729 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (pow.f64 y 3)) (/.f64 (log.f64 2) x)) (/.f64 (.f64 (log.f64 2) 1/9) (/.f64 (.f64 x y) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))))))))))))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))
(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) y)) (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (*.f64 y x)))))
(-.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (fma.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) y) (.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (/.f64 (.f64 x y) (log.f64 2))))))
(-.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (.f64 x y)) (log.f64 2)) (*.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) y))))
(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (+.f64 (.f64 4/81 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (.f64 (pow.f64 y 2) x))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) y)) (+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (.f64 y x))) (+.f64 (.f64 1/81 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 y 2))) (.f64 4/81 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))))))
(-.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (fma.f64 4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (/.f64 (.f64 x (.f64 y y)) (log.f64 2))) (fma.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) y) (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (/.f64 (.f64 x y) (log.f64 2))) (fma.f64 1/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (.f64 y y)) (.f64 4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (/.f64 (.f64 (.f64 x x) (.f64 y y)) (pow.f64 (log.f64 2) 2)))))))))
(-.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (fma.f64 4/81 (/.f64 (log.f64 2) (/.f64 (.f64 x (.f64 y y)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))) (fma.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) y) (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (.f64 x y)) (log.f64 2)) (fma.f64 1/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (.f64 y y)) (.f64 (/.f64 4/81 (.f64 x x)) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (/.f64 (.f64 y y) (pow.f64 (log.f64 2) 2)))))))))
(-.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (+.f64 (.f64 4/81 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (.f64 (pow.f64 y 2) x))) (+.f64 (.f64 34/729 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 (log.f64 2) 2)) (.f64 (pow.f64 y 3) (pow.f64 x 2)))) (+.f64 (.f64 1/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (.f64 y x))) (+.f64 (.f64 68/2187 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 (log.f64 2) 3)) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (.f64 1/18 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) y)) (+.f64 (.f64 17/729 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (log.f64 2)) (.f64 (pow.f64 y 3) x))) (+.f64 (.f64 17/4374 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 y 3))) (+.f64 (.f64 1/81 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 y 2))) (.f64 4/81 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))))))))))
(-.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (fma.f64 4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (/.f64 (.f64 x (.f64 y y)) (log.f64 2))) (fma.f64 34/729 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3)) (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x x))) (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (/.f64 (.f64 x y) (log.f64 2))) (fma.f64 68/2187 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3)) (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3))) (fma.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) y) (fma.f64 17/729 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (/.f64 (.f64 x (pow.f64 y 3)) (log.f64 2))) (fma.f64 17/4374 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3)) (fma.f64 1/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (.f64 y y)) (.f64 4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (/.f64 (.f64 (.f64 x x) (.f64 y y)) (pow.f64 (log.f64 2) 2)))))))))))))
(-.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (fma.f64 4/81 (/.f64 (log.f64 2) (/.f64 (.f64 x (.f64 y y)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))) (fma.f64 34/729 (/.f64 (pow.f64 (log.f64 2) 2) (/.f64 (.f64 x (.f64 x (pow.f64 y 3))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))) (fma.f64 1/9 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (.f64 x y)) (log.f64 2)) (fma.f64 68/2187 (/.f64 (pow.f64 (log.f64 2) 3) (/.f64 (.f64 (pow.f64 x 3) (pow.f64 y 3)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))) (fma.f64 1/18 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) y) (fma.f64 17/729 (/.f64 (log.f64 2) (/.f64 (.f64 x (pow.f64 y 3)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))) (fma.f64 17/4374 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3)) (fma.f64 1/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (.f64 y y)) (.f64 (/.f64 4/81 (.f64 x x)) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) (/.f64 (.f64 y y) (pow.f64 (log.f64 2) 2)))))))))))))

prune582.0ms (8.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	377	2	379
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	378	5	383

Error

0.6b

Counts

383 → 5

Alt Table

Status	Error	Program
✓	0.8b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	17.7b	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
	60.9b	(pow.f64 (.f64 (fma.f64 2/9 (.f64 (/.f64 (log.f64 2) x) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/27) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))) 6) (-.f64 1/2 y))) (pow.f64 (pow.f64 (exp.f64 1/27) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 3)
	28.7b	(fma.f64 1/2 x (log.f64 2))
	61.0b	(pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 (.f64 (/.f64 (log.f64 2) x) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))) (-.f64 1/2 y))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))) 2) 3) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 3)

Compiler

Compiled 21025 to 17216 computations (18.1% saved)

regimes258.0ms (3.9%)

Accuracy

Total 0.2b remaining (30.4%)

Threshold costs 0.2b (30.4%)

Counts

101 → 1

Compiler

Compiled 1508 to 1173 computations (22.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	25	11
3	31	11
4	35	11
5	36	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

end123.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 164 to 121 computations (26.2% saved)

Details

analyze424.0ms (6.4%)

sample4.0s (60.2%)

preprocess40.0ms (0.6%)

simplify34.0ms (0.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series58.0ms (0.9%)

rewrite59.0ms (0.9%)

simplify42.0ms (0.6%)

prune41.0ms (0.6%)

localize5.0ms (0.1%)

series8.0ms (0.1%)

rewrite48.0ms (0.7%)

simplify31.0ms (0.5%)

prune31.0ms (0.5%)

localize9.0ms (0.1%)

series358.0ms (5.4%)

rewrite52.0ms (0.8%)

simplify51.0ms (0.8%)

prune123.0ms (1.9%)

localize14.0ms (0.2%)

series77.0ms (1.2%)

rewrite66.0ms (1%)

simplify85.0ms (1.3%)

prune582.0ms (8.8%)

regimes258.0ms (3.9%)

simplify2.0ms (0%)

end123.0ms (1.9%)

Profiling