Details

analyze247.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	87.4%	0.1%	0%	12.5%	0%	5
0%	0%	74.9%	0.1%	6.2%	18.7%	0%	6
4.2%	3.1%	71.8%	0.1%	6.2%	18.7%	0%	7
11.4%	7.8%	60.8%	0.1%	9.4%	21.8%	0%	8
18.8%	11.7%	50.7%	0.1%	9.4%	28.1%	0%	9
28.1%	17.6%	44.9%	0.1%	9.4%	28.1%	0%	10
38.5%	22.8%	36.5%	0.1%	10.1%	30.4%	0%	11
47.4%	26.6%	29.5%	0.1%	10.1%	33.5%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.8s (16.5%)

Results

1.6s	8256×	body	256	valid
179.0ms	1029×	body	256	invalid
6.0ms	45×	body	256	infinite

Bogosity

preprocess210.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

783×	`div-sub_binary64`
742×	`sub-neg_binary64`
477×	`associate-/r*_binary64`
442×	`associate-/r/_binary64`
367×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	48
1	42	48
2	65	48
3	123	48
4	342	48
5	828	48
6	1851	48
7	2969	48
8	4155	48
9	4907	48
10	6027	48
11	6721	48
12	6831	48
13	6955	48
14	7027	48
15	7027	48
16	7832	48
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (*.f64 y (log.f64 (/.f64 y x))) z)
(-.f64 (*.f64 z (log.f64 (/.f64 z y))) x)
(-.f64 (*.f64 x (log.f64 (/.f64 x z))) y)

Outputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (*.f64 y (log.f64 (/.f64 y x))) z)
(fma.f64 y (log.f64 (/.f64 y x)) (neg.f64 z))
(-.f64 (*.f64 z (log.f64 (/.f64 z y))) x)
(fma.f64 z (log.f64 (/.f64 z y)) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 (/.f64 x z))) y)
(fma.f64 x (log.f64 (/.f64 x z)) (neg.f64 y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify269.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2527×	`fma-neg_binary64`
1695×	`fma-def_binary64`
365×	`distribute-rgt-in_binary64`
337×	`unsub-neg_binary64`
315×	`associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	15	12
2	23	12
3	39	12
4	98	12
5	232	12
6	499	12
7	920	12
8	1276	12
9	2192	12
10	3705	12
11	4079	12
12	4206	12
13	4245	12
14	4259	12
15	5641	12
16	6872	12
17	7311	12
18	7637	12
19	7722	12
20	7772	12
21	7782	12
22	7874	12
23	7886	12
24	7886	12

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Outputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

eval1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

15.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.8b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (log.f64 (/.f64 x y)))
✓	15.1b	(log.f64 (/.f64 x y))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series225.0ms (2.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	x	@	0	(log.f64 (/.f64 x y))
45.0ms	x	@	0	(*.f64 x (log.f64 (/.f64 x y)))
38.0ms	x	@	-inf	(log.f64 (/.f64 x y))
27.0ms	y	@	-inf	(log.f64 (/.f64 x y))
24.0ms	y	@	0	(log.f64 (/.f64 x y))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`pow1_binary64`
589×	`add-log-exp_binary64`
589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
576×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	122	15
2	1576	15

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

Outputs

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

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

simplify261.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2599×	`fma-neg_binary64`
954×	`fma-def_binary64`
437×	`unsub-neg_binary64`
398×	`distribute-rgt-in_binary64`
282×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	504
1	61	456
2	125	456
3	343	456
4	879	456
5	1874	456
6	3834	456
7	4523	456
8	4623	456
9	4649	456
10	4663	456
11	4664	456
12	4940	456
13	5511	456
14	5592	456
15	5622	456
16	5648	456
17	5656	456
18	5696	456
19	5720	456
20	5720	456

Stop Event

1×	node limit

Counts

84 → 47

Calls

Call 1

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

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

eval10.0ms (0.1%)

Compiler: Compiled 578 to 262 computations (54.7% saved)

prune17.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	37	10	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	11	48

Error

0.1b

Counts

48 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.8b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
	28.0b	(-.f64 (.f64 x (/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 x) (log.f64 y)))) z)
▶	15.9b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
	36.4b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
▶	28.0b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
▶	15.6b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
▶	15.8b	(-.f64 (*.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))) z)
	32.5b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
	37.4b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
	28.0b	(-.f64 (.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 (.f64 (log.f64 y) (log.f64 y)) (.f64 (log.f64 x) (log.f64 y)))))) z)
▶	42.3b	(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))) z)

Compiler

Compiled 353 to 221 computations (37.4% saved)

localize93.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))
✓	15.0b	(log.f64 (/.f64 y x))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series279.0ms (2.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
142.0ms	y	@	inf	(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))
58.0ms	x	@	0	(log.f64 (/.f64 y x))
20.0ms	y	@	0	(log.f64 (/.f64 y x))
19.0ms	x	@	-inf	(log.f64 (/.f64 y x))
16.0ms	y	@	-inf	(log.f64 (/.f64 y x))

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`pow1_binary64`
615×	`add-log-exp_binary64`
614×	`log1p-expm1-u_binary64`
614×	`expm1-log1p-u_binary64`
602×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	15
2	2017	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(log.f64 (/.f64 y x))
(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))

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

Outputs

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

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

simplify300.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3152×	`fma-neg_binary64`
632×	`fma-def_binary64`
306×	`associate--r+_binary64`
305×	`unsub-neg_binary64`
287×	`associate--r-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	600
1	92	504
2	260	456
3	704	456
4	1803	456
5	3639	456
6	3951	456
7	4011	456
8	4027	456
9	4031	456
10	4033	456
11	6027	456
12	6272	456
13	6400	456
14	6589	456
15	6657	456
16	6661	456
17	6759	456
18	6785	456
19	6785	456

Stop Event

1×	node limit

Counts

100 → 63

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
✓	0.3b	(-.f64 (log.f64 x) (log.f64 y))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series119.0ms (1.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	x	@	inf	(-.f64 (log.f64 x) (log.f64 y))
19.0ms	y	@	0	(-.f64 (log.f64 x) (log.f64 y))
19.0ms	x	@	0	(-.f64 (log.f64 x) (log.f64 y))
12.0ms	x	@	-inf	(-.f64 (log.f64 x) (log.f64 y))
10.0ms	y	@	-inf	(-.f64 (log.f64 x) (log.f64 y))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`pow1_binary64`
740×	`add-log-exp_binary64`
740×	`log1p-expm1-u_binary64`
740×	`expm1-log1p-u_binary64`
725×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	146	15
2	1976	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 y))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))

Outputs

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

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

simplify193.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1458×	`fma-def_binary64`
809×	`fma-neg_binary64`
500×	`associate--r-_binary64`
436×	`unsub-neg_binary64`
324×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	412
1	73	348
2	148	348
3	453	348
4	1243	348
5	2978	348
6	4331	348
7	4708	348
8	4764	348
9	4778	348
10	4781	348
11	7692	348
12	7921	348

Stop Event

1×	node limit

Counts

90 → 65

Calls

Call 1

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

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

localize77.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (log.f64 (/.f64 x y)))
✓	0.1b	(*.f64 x (expm1.f64 (log1p.f64 (log.f64 (/.f64 x y)))))
✓	0.5b	(expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))
	15.1b	(log.f64 (/.f64 x y))

Compiler

Compiled 42 to 9 computations (78.6% saved)

series276.0ms (2.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
85.0ms	x	@	-inf	(log1p.f64 (log.f64 (/.f64 x y)))
63.0ms	y	@	inf	(log1p.f64 (log.f64 (/.f64 x y)))
42.0ms	y	@	-inf	(log1p.f64 (log.f64 (/.f64 x y)))
31.0ms	x	@	inf	(log1p.f64 (log.f64 (/.f64 x y)))
31.0ms	y	@	0	(log1p.f64 (log.f64 (/.f64 x y)))

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`expm1-log1p-u_binary64`
663×	`log1p-expm1-u_binary64`
649×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	142	23
2	1784	23

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))
(*.f64 x (expm1.f64 (log1p.f64 (log.f64 (/.f64 x y)))))
(log1p.f64 (log.f64 (/.f64 x y)))

Outputs

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

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

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

simplify212.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2251×	`fma-def_binary64`
806×	`fma-neg_binary64`
508×	`unsub-neg_binary64`
357×	`distribute-rgt-in_binary64`
317×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	768
1	92	696
2	192	696
3	521	696
4	1405	696
5	3020	696
6	5121	696
7	5956	696
8	6156	696
9	6184	696
10	6196	696
11	6199	696
12	6221	696
13	6229	696
14	6229	696

Stop Event

1×	node limit

Counts

128 → 73

Calls

Call 1

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

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

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)))
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))
✓	0.7b	(pow.f64 (log.f64 (/.f64 x y)) 3)
	15.1b	(log.f64 (/.f64 x y))

Compiler

Compiled 47 to 20 computations (57.4% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (log.f64 (/.f64 x y)) 3)
1.0ms	x	@	-inf	(pow.f64 (log.f64 (/.f64 x y)) 3)
1.0ms	x	@	0	(pow.f64 (log.f64 (/.f64 x y)) 3)
1.0ms	y	@	0	(pow.f64 (log.f64 (/.f64 x y)) 3)
1.0ms	y	@	-inf	(pow.f64 (log.f64 (/.f64 x y)) 3)

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

809×	`pow1_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	191	24
2	2083	24

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

643×	`distribute-rgt-in_binary64`
636×	`unsub-neg_binary64`
617×	`distribute-lft-in_binary64`
536×	`distribute-rgt-neg-out_binary64`
439×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	840
1	100	780
2	243	780
3	961	780
4	4828	780

Stop Event

1×	node limit

Counts

133 → 81

Calls

Call 1

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

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

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))
✓	0.4b	(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
✓	3.4b	(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
✓	15.4b	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 77 to 27 computations (64.9% saved)

series32.0ms (0.3%)

Counts

4 → 0

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
3.0ms	x	@	-inf	(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
2.0ms	x	@	-inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))
2.0ms	x	@	0	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))
2.0ms	y	@	-inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))

rewrite134.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`prod-diff_binary64`
469×	`log-prod_binary64`
289×	`pow-prod-down_binary64`
249×	`pow2_binary64`
245×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	214	32
2	2718	30

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 x y))
(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 1 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (exp.f64 1) (neg.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (exp.f64 1) (.f64 -1 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (exp.f64 1) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (exp.f64 1) (.f64 (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 x y) 1/6) (pow.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1) (.f64 1/3 (.f64 2/3 (log.f64 (/.f64 x y))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1) (.f64 1/6 (log.f64 (/.f64 x y)))) (pow.f64 (exp.f64 1) (.f64 1/6 (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (.f64 (log.f64 (/.f64 x y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 2))) (.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x y)))) (.f64 (sqrt.f64 (log.f64 (/.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y))))) (.f64 (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) 2)) (.f64 (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) 1) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))) (sqrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1/3) (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))) (-.f64 (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) 1) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4)) (.f64 1/3 (.f64 2/3 (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (.f64 2/3 (log.f64 (/.f64 x y)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (log.f64 (/.f64 x y))) (log.f64 (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 x y))) (.f64 1/6 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 5)) (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2/3 (log.f64 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (log.f64 (cbrt.f64 x))) (.f64 2 (log.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 x))) (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2/3 (log.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) 2) (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (log.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 1/3 (.f64 2/3 (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2/3 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2/3 (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2/3 (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2/3 (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (cbrt.f64 (/.f64 x y))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (log.f64 (/.f64 x y)) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (-.f64 (sqrt.f64 (*.f64 2/3 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (exp.f64 2) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 1 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (exp.f64 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (exp.f64 2) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4) (pow.f64 (exp.f64 2) (neg.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4) (pow.f64 (exp.f64 2) (.f64 -1 (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4) (pow.f64 (exp.f64 2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4) (pow.f64 (exp.f64 2) (.f64 (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 x y) 1/6) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 5) (cbrt.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 2) (.f64 1/3 (.f64 2/3 (log.f64 (/.f64 x y))))) (pow.f64 (exp.f64 2) (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 2) (.f64 1/6 (log.f64 (/.f64 x y)))) (pow.f64 (exp.f64 2) (.f64 1/6 (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 4))) (pow.f64 (exp.f64 1) (.f64 1/3 (.f64 2/3 (log.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 x y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 2) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))) (exp.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 2) (log.f64 (cbrt.f64 x))) (pow.f64 (exp.f64 2) (log.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (.f64 2/3 (log.f64 (/.f64 x y)))))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 y (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 2) (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (neg.f64 x))) (log.f64 (neg.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 x (sqrt.f64 y))) (log.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 x 1)) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 x))) (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (log.f64 (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (/.f64 x y))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 2)) (cbrt.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (/.f64 x y))) (sqrt.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (.f64 3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 3) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (.f64 2 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (/.f64 x y)) (log.f64 (cbrt.f64 (/.f64 x y)))) (/.f64 1 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (.f64 2 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (+.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 3) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (.f64 (log.f64 (/.f64 x y)) (log.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 3) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) (-.f64 (fma.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (.f64 2 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 3) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) (+.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (-.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 2) (.f64 2 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 x y)) (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 3) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (.f64 2 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (log.f64 (/.f64 x y)) (log.f64 (cbrt.f64 (/.f64 x y))))) (neg.f64 (log.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 2)) (-.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (.f64 2/3 (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2)) (.f64 2 (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2))) (+.f64 (pow.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 3) (pow.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (cbrt.f64 (/.f64 x y))) (.f64 (log.f64 (/.f64 x y)) (log.f64 (cbrt.f64 (/.f64 x y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (log.f64 (/.f64 x y))))) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (+.f64 1 (-.f64 (cbrt.f64 (/.f64 x y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (log.f64 (/.f64 x y))))) (+.f64 1 (-.f64 (cbrt.f64 (/.f64 x y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (-.f64 (cbrt.f64 (/.f64 x y)) 1)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (cbrt.f64 (/.f64 x y)) (+.f64 1 (expm1.f64 (.f64 2/3 (log.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (-.f64 (cbrt.f64 (/.f64 x y)) 1)) (+.f64 1 (expm1.f64 (.f64 2/3 (log.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2/3 (log.f64 (/.f64 x y))) 1 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 2 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1 (.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 2/3 (log.f64 (/.f64 x y))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (cbrt.f64 (/.f64 x y))) (.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) 2) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) 2) (cbrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (log.f64 (/.f64 x y)) (.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (-.f64 (sqrt.f64 (.f64 2/3 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 x y)))) (log.f64 (cbrt.f64 (/.f64 x y))))))))

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

234 → 234

Calls

Call 1

Inputs

Outputs

eval255.0ms (2.4%)

Compiler: Compiled 12213 to 5019 computations (58.9% saved)

prune228.0ms (2.1%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	644	8	652
Fresh	2	3	5
Picked	1	0	1
Done	1	4	5
Total	648	15	663

Error

0.0b

Counts

663 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	38.0b	(-.f64 (*.f64 x (neg.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 y x)) 3) 1/3))) z)
✓	28.0b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
	36.4b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) 3))) z)
▶	15.8b	(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
✓	15.9b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
	36.4b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
✓	15.6b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
	31.2b	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) x) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 y) (log.f64 (*.f64 x y))))) z)
	32.5b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
✓	15.8b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
▶	37.4b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
▶	15.8b	(-.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) z)
▶	28.0b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3))) z)
▶	28.0b	(-.f64 (+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x)) z)
	32.5b	(-.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3))) z)

Compiler

Compiled 407 to 289 computations (29% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 (/.f64 x y)))
✓	0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))
✓	0.4b	(*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)
	15.4b	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series69.0ms (0.6%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
48.0ms	y	@	0	(*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)
2.0ms	x	@	0	(.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))
1.0ms	y	@	0	(.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))
1.0ms	y	@	inf	(*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)
1.0ms	y	@	-inf	(.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))

rewrite139.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`pow1_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
813×	`add-log-exp_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	183	23
2	2256	23

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs
(*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)
(.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))
(log.f64 (cbrt.f64 (/.f64 x y)))

Outputs

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

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

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

53 → 53

Calls

Call 1

Inputs

Outputs

localize78.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 3 (log.f64 (/.f64 x y)))
✓	0.3b	(.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y)))))
✓	0.4b	(.f64 1/3 (.f64 3 (log.f64 (/.f64 x y))))
	15.1b	(log.f64 (/.f64 x y))

Compiler

Compiled 51 to 24 computations (52.9% saved)

series13.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 3 (log.f64 (/.f64 x y)))
1.0ms	x	@	inf	(*.f64 3 (log.f64 (/.f64 x y)))
1.0ms	x	@	0	(*.f64 3 (log.f64 (/.f64 x y)))
1.0ms	y	@	0	(*.f64 3 (log.f64 (/.f64 x y)))
1.0ms	y	@	-inf	(*.f64 3 (log.f64 (/.f64 x y)))

rewrite158.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`pow1_binary64`
835×	`add-log-exp_binary64`
835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
820×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	210	24
2	2284	24

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs
(.f64 1/3 (.f64 3 (log.f64 (/.f64 x y))))
(.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y)))))
(*.f64 3 (log.f64 (/.f64 x y)))

Outputs

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

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

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

simplify183.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2831×	`fma-neg_binary64`
581×	`unsub-neg_binary64`
552×	`fma-def_binary64`
434×	`distribute-rgt-in_binary64`
266×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	792
1	95	720
2	214	720
3	544	720
4	1276	720
5	2700	720
6	4748	720
7	5562	720
8	5914	720
9	5992	720
10	6016	720
11	6020	720
12	6036	720
13	6038	720

Stop Event

1×	node limit

Counts

117 → 62

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)
(.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)
(.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)
(.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)
(.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)
(.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)
(.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))
(.f64 3 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))))
(.f64 3 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))))
(.f64 3 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))))
(.f64 3 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))))
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(.f64 3 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))))
(.f64 3 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))))
(.f64 3 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))))
(.f64 3 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))))

Outputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(fma.f64 -1 (log.f64 y) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 y))
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(*.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))) x)
(*.f64 x (fma.f64 -1 (log.f64 y) (log.f64 x)))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (log.f64 x) (.f64 -1 (log.f64 y))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(*.f64 3 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)
(.f64 3 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (.f64 -1 x))))
(*.f64 (fma.f64 -1 (log.f64 y) (log.f64 x)) 3)
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(*.f64 -3 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (-.f64 (log.f64 y) (log.f64 x)) -3)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x) x)
✓	0.2b	(*.f64 (neg.f64 (log.f64 y)) x)
✓	0.3b	(+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series8.0ms (0.1%)

Counts

3 → 56

Calls

15 calls:

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

rewrite181.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary64`
822×	`add-log-exp_binary64`
821×	`log1p-expm1-u_binary64`
821×	`expm1-log1p-u_binary64`
805×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	193	21
2	2726	21

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) x)
(*.f64 (log.f64 x) x)

Outputs

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

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

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

simplify235.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3115×	`fma-neg_binary64`
633×	`fma-def_binary64`
365×	`associate--r-_binary64`
354×	`unsub-neg_binary64`
271×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	560
1	109	504
2	247	504
3	723	504
4	1741	504
5	3433	504
6	4015	504
7	4076	504
8	4093	504
9	4103	504
10	4103	504
11	6409	504
12	7085	504
13	7175	504
14	7205	504
15	7233	504
16	7237	504
17	7237	504
18	7257	504

Stop Event

1×	node limit

Counts

124 → 82

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 x (log.f64 (/.f64 x y))))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2)
	0.3b	(*.f64 x (log.f64 (/.f64 x y)))
	15.1b	(log.f64 (/.f64 x y))

Compiler

Compiled 47 to 13 computations (72.3% saved)

series13.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2)
3.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2)
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (log.f64 (/.f64 x y))))
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2)

rewrite113.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`pow1_binary64`
732×	`add-log-exp_binary64`
732×	`log1p-expm1-u_binary64`
732×	`expm1-log1p-u_binary64`
715×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	188	20
2	2021	20

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2)
(sqrt.f64 (*.f64 x (log.f64 (/.f64 x y))))

Outputs

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

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

simplify246.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2265×	`fma-neg_binary64`
668×	`unsub-neg_binary64`
659×	`fma-def_binary64`
410×	`associate-+l+_binary64`
303×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	312
1	42	288
2	76	288
3	158	288
4	329	288
5	600	288
6	1182	288
7	2201	288
8	3219	288
9	3368	288
10	3805	288
11	4152	288
12	4288	288
13	4326	288
14	4350	288
15	4354	288
16	4502	288
17	4558	288
18	4558	288
19	7238	288
20	7882	288

Stop Event

1×	node limit

Counts

76 → 60

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)))
✓	0.3b	(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3))
	0.3b	(-.f64 (log.f64 x) (log.f64 y))
✓	0.4b	(pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)

Compiler

Compiled 53 to 21 computations (60.4% saved)

series11.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3))
1.0ms	x	@	0	(pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
1.0ms	x	@	-inf	(pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
1.0ms	x	@	inf	(pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
1.0ms	y	@	-inf	(pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

967×	`pow1_binary64`
905×	`add-log-exp_binary64`
905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	214	24
2	2470	24

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs
(pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)
(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3))
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3)))

Outputs

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

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

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

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

887×	`unsub-neg_binary64`
566×	`distribute-rgt-neg-out_binary64`
492×	`associate-l_binary64`
433×	`associate-r_binary64`
405×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	696
1	101	632
2	258	632
3	1234	632
4	5398	632

Stop Event

1×	node limit

Counts

155 → 106

Calls

Call 1

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

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

eval350.0ms (3.2%)

Compiler: Compiled 8913 to 3845 computations (56.9% saved)

prune174.0ms (1.6%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	547	9	556
Fresh	4	2	6
Picked	1	0	1
Done	1	7	8
Total	553	18	571

Error

0.0b

Counts

571 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.4b	(-.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1) z)
✓	15.6b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
	42.6b	(-.f64 (.f64 x (.f64 1/3 (log.f64 (pow.f64 (/.f64 x y) 3)))) z)
	15.8b	(-.f64 (.f64 x (.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3) 3)) z)
✓	15.8b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
▶	0.2b	(-.f64 (.f64 x (.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)) z)
	36.4b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) 3))) z)
✓	15.8b	(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
✓	15.9b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
	36.4b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
✓	28.0b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
▶	28.0b	(-.f64 (-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 y))) z)
▶	37.2b	(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
✓	37.4b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
✓	15.8b	(-.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) z)
	32.5b	(-.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3))) z)
▶	32.5b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
	26.0b	(-.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) z)

Compiler

Compiled 418 to 296 computations (29.2% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 x) (cbrt.f64 y))
✓	0.4b	(*.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)
✓	0.5b	(cbrt.f64 x)
✓	0.6b	(cbrt.f64 y)

Compiler

Compiled 52 to 17 computations (67.3% saved)

series12.0ms (0.1%)

Counts

4 → 0

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(*.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)
1.0ms	y	@	inf	(cbrt.f64 y)
1.0ms	y	@	-inf	(/.f64 (cbrt.f64 x) (cbrt.f64 y))
1.0ms	y	@	0	(cbrt.f64 y)
1.0ms	y	@	-inf	(cbrt.f64 y)

rewrite105.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`pow1_binary64`
789×	`add-log-exp_binary64`
789×	`log1p-expm1-u_binary64`
789×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	180	18
2	2154	18

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

Inputs
(cbrt.f64 y)
(cbrt.f64 x)
(*.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)
(/.f64 (cbrt.f64 x) (cbrt.f64 y))

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

82 → 82

Calls

Call 1

Inputs

Outputs

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (log.f64 (.f64 x y)) x)
✓	12.0b	(log.f64 (*.f64 x y))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series37.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	(log.f64 (*.f64 x y))
13.0ms	x	@	-inf	(log.f64 (*.f64 x y))
5.0ms	x	@	0	(.f64 (log.f64 (.f64 x y)) x)
1.0ms	x	@	-inf	(.f64 (log.f64 (.f64 x y)) x)
1.0ms	x	@	inf	(.f64 (log.f64 (.f64 x y)) x)

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
500×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	116	15
2	1389	15

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(log.f64 (*.f64 x y))
(.f64 (log.f64 (.f64 x y)) x)

Outputs

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

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

simplify252.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1519×	`fma-neg_binary64`
867×	`fma-def_binary64`
535×	`associate--r-_binary64`
387×	`associate--r+_binary64`
381×	`associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	456
1	77	456
2	132	456
3	369	456
4	1047	456
5	2103	456
6	3906	456
7	4167	456
8	4297	456
9	4325	456
10	4339	456
11	4341	456
12	7781	456
13	7982	456

Stop Event

1×	node limit

Counts

83 → 45

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 x (log.f64 (.f64 x y)))
✓	4.3b	(-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1)
	12.0b	(log.f64 (*.f64 x y))

Compiler

Compiled 50 to 18 computations (64% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`pow1_binary64`
872×	`add-log-exp_binary64`
872×	`log1p-expm1-u_binary64`
872×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	192	18
2	2618	18

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify257.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1519×	`fma-neg_binary64`
867×	`fma-def_binary64`
534×	`associate--r-_binary64`
387×	`associate--r+_binary64`
386×	`associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	528
1	77	528
2	132	528
3	369	528
4	1048	528
5	2126	528
6	3934	528
7	4186	528
8	4316	528
9	4344	528
10	4358	528
11	4360	528
12	7797	528
13	7998	528

Stop Event

1×	node limit

Counts

133 → 59

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (log.f64 x))
✓	0.2b	(*.f64 x (log.f64 y))
✓	0.3b	(-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 y)))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite106.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
880×	`add-log-exp_binary64`
880×	`log1p-expm1-u_binary64`
880×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	177	21
2	2444	21

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

Inputs
(-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 y)))
(*.f64 x (log.f64 y))
(*.f64 x (log.f64 x))

Outputs

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

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

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

simplify247.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3223×	`fma-neg_binary64`
692×	`fma-def_binary64`
423×	`associate--r-_binary64`
371×	`unsub-neg_binary64`
313×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	480
1	118	480
2	270	480
3	863	480
4	2043	480
5	3797	480
6	4360	480
7	4414	480
8	4427	480
9	4437	480
10	4437	480
11	6854	480
12	7386	480
13	7526	480
14	7570	480
15	7576	480
16	7578	480
17	7669	480
18	7689	480

Stop Event

1×	node limit

Counts

138 → 93

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)
	0.3b	(*.f64 x (log.f64 (/.f64 x y)))
	15.1b	(log.f64 (/.f64 x y))
✓	39.5b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3))

Compiler

Compiled 48 to 16 computations (66.7% saved)

series83.0ms (0.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
74.0ms	x	@	-inf	(pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3))
1.0ms	y	@	0	(pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)
1.0ms	y	@	-inf	(pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)
1.0ms	y	@	inf	(pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`pow1_binary64`
770×	`add-log-exp_binary64`
770×	`log1p-expm1-u_binary64`
770×	`expm1-log1p-u_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	193	21
2	2160	21

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

729×	`unswap-sqr_binary64`
495×	`distribute-neg-out_binary64`
484×	`unsub-neg_binary64`
431×	`fma-def_binary64`
401×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	804
1	130	764
2	449	764
3	2380	756
4	5516	672

Stop Event

1×	node limit

Counts

102 → 69

Calls

Call 1

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

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

eval143.0ms (1.3%)

Compiler: Compiled 6695 to 2827 computations (57.8% saved)

prune211.0ms (2%)

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	418	3	421
Fresh	2	4	6
Picked	0	1	1
Done	0	11	11
Total	420	19	439

Error

0.0b

Counts

439 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.4b	(-.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1) z)
✓	15.6b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
	27.9b	(-.f64 (fma.f64 (log.f64 x) x (*.f64 (log.f64 y) (neg.f64 x))) z)
✓	28.0b	(-.f64 (-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 y))) z)
	42.6b	(-.f64 (.f64 x (.f64 1/3 (log.f64 (pow.f64 (/.f64 x y) 3)))) z)
	15.8b	(-.f64 (.f64 x (.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3) 3)) z)
✓	15.8b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
✓	0.2b	(-.f64 (.f64 x (.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)) z)
✓	15.8b	(-.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) z)
	32.5b	(-.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3))) z)
	36.4b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) 3))) z)
✓	15.8b	(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
	35.8b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 (/.f64 x y)))) 2) (cbrt.f64 (.f64 x (log.f64 (/.f64 x y)))) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 x (log.f64 y)))) z)
✓	15.9b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
	36.4b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
✓	28.0b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
✓	37.2b	(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
✓	37.4b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
✓	32.5b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)

Compiler

Compiled 283 to 193 computations (31.8% saved)

regimes138.0ms (1.3%)

Counts

31 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
(-.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1) z)
(-.f64 (.f64 x (.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3) 3)) z)
(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
(-.f64 (-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 y))) z)
(-.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) z)
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(-.f64 (.f64 x (.f64 1/3 (log.f64 (pow.f64 (/.f64 x y) 3)))) z)
(-.f64 (+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x)) z)
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))) z)
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (log.f64 y) (neg.f64 x))) z)
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
(-.f64 (.f64 x (.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)) z)
(-.f64 (*.f64 x (neg.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 y x)) 3) 1/3))) z)
(-.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) z)
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) 3))) z)
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3))) z)
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3))) z)
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) 3) (pow.f64 x 3))) z)
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) 3))) z)
(-.f64 (*.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))) z)
(-.f64 (.f64 x (/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (log.f64 x) (log.f64 y)))) z)
(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) x) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 y) (log.f64 (*.f64 x y))))) z)
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 (/.f64 x y)))) 2) (cbrt.f64 (.f64 x (log.f64 (/.f64 x y)))) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 x (log.f64 y)))) z)
(-.f64 (.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 (.f64 (log.f64 y) (log.f64 y)) (.f64 (log.f64 x) (log.f64 y)))))) z)

Outputs
(-.f64 (.f64 x (.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)) z)

Calls

6 calls:

25.0ms	(*.f64 x (log.f64 (/.f64 x y)))
23.0ms	(*.f64 x (log.f64 (/.f64 x y)))
18.0ms	x
17.0ms	y
16.0ms	z

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
0.2b	1	`(*.f64 x (log.f64 (/.f64 x y)))`
0.2b	1	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 463 to 213 computations (54% saved)

regimes149.0ms (1.4%)

Counts

18 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
(-.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1) z)
(-.f64 (.f64 x (.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3) 3)) z)
(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
(-.f64 (-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 y))) z)
(-.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) z)
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(-.f64 (.f64 x (.f64 1/3 (log.f64 (pow.f64 (/.f64 x y) 3)))) z)
(-.f64 (+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x)) z)
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))) z)
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (log.f64 y) (neg.f64 x))) z)
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)

Outputs
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (log.f64 y) (neg.f64 x))) z)

Calls

6 calls:

29.0ms	z
25.0ms	(*.f64 x (log.f64 (/.f64 x y)))
23.0ms	(*.f64 x (log.f64 (/.f64 x y)))
23.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
23.0ms	x

Results

Error	Segments	Branch
0.3b	2	`x`
0.3b	2	`y`
14.5b	3	`z`
7.5b	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
7.5b	3	`(*.f64 x (log.f64 (/.f64 x y)))`
7.5b	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 236 to 120 computations (49.2% saved)

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
6.0ms	-9.406013548728566e-307	5.231174667052207e-306

Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes172.0ms (1.6%)

Counts

13 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
(-.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1) z)
(-.f64 (.f64 x (.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3) 3)) z)
(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
(-.f64 (-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 y))) z)
(-.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) z)
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(-.f64 (.f64 x (.f64 1/3 (log.f64 (pow.f64 (/.f64 x y) 3)))) z)
(-.f64 (+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x)) z)
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))) z)

Outputs
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)

Calls

5 calls:

41.0ms	z
36.0ms	(*.f64 x (log.f64 (/.f64 x y)))
36.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
29.0ms	y
23.0ms	x

Results

Error	Segments	Branch
0.4b	2	`x`
0.4b	2	`y`
14.5b	3	`z`
7.5b	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
7.5b	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 172 to 94 computations (45.3% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
4.0ms	-4.1153606331183983e-305	3.215541418564486e-308

Compiler

Compiled 45 to 32 computations (28.9% saved)

regimes159.0ms (1.5%)

Counts

9 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
(-.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1) z)
(-.f64 (.f64 x (.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3) 3)) z)
(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
(-.f64 (-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 y))) z)
(-.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) z)

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

Calls

5 calls:

36.0ms	x
35.0ms	z
29.0ms	(*.f64 x (log.f64 (/.f64 x y)))
29.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
23.0ms	y

Results

Error	Segments	Branch
6.6b	3	`x`
8.0b	2	`y`
14.5b	3	`z`
7.5b	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
7.5b	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 127 to 71 computations (44.1% saved)

bsearch11.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	-2.8894313010011984e-305	-9.406013548728566e-307
6.0ms	-2.1925118688639055e-247	-2.316072019851303e-263

Compiler

Compiled 67 to 46 computations (31.3% saved)

regimes96.0ms (0.9%)

Counts

6 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
(-.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1) z)
(-.f64 (.f64 x (.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3) 3)) z)
(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)

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

Calls

5 calls:

26.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
25.0ms	(*.f64 x (log.f64 (/.f64 x y)))
22.0ms	z
14.0ms	x
5.0ms	y

Results

Error	Segments	Branch
12.8b	3	`x`
15.6b	1	`y`
14.5b	3	`z`
7.5b	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
7.5b	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 96 to 56 computations (41.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5123964217846704e+290	+inf
0.0ms	-inf	-5.694302411415355e+307

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes45.0ms (0.4%)

Accuracy

Total -37.9b remaining (-503.8%)

Threshold costs -37.9b (-503.8%)

Counts

3 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)

Outputs
(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)

Calls

5 calls:

11.0ms	z
10.0ms	x
9.0ms	(*.f64 x (log.f64 (/.f64 x y)))
9.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
4.0ms	y

Results

Error	Segments	Branch
12.8b	3	`x`
15.6b	1	`y`
14.5b	3	`z`
7.5b	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
7.5b	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 60 to 38 computations (36.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5123964217846704e+290	+inf
0.0ms	-inf	-5.694302411415355e+307

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
20×	`*-commutative_binary64`
20×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	296
1	101	296
2	136	296
3	156	296
4	163	296
5	164	296

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)) z)
(if (<=.f64 x 0) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (fma.f64 (log.f64 x) x (.f64 (log.f64 y) (neg.f64 x))) z))
(if (<=.f64 y 0) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (.f64 x (-.f64 (log.f64 x) (log.f64 y))) z))
(if (<=.f64 x -1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (-.f64 (.f64 (log.f64 (.f64 x y)) x) z) (-.f64 (.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)))
(if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) -inf.0) (-.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1) z) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (-.f64 (.f64 (log.f64 (*.f64 x y)) x) z)))
(if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) -inf.0) (-.f64 (.f64 (log.f64 (.f64 x y)) x) z) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (-.f64 (.f64 (log.f64 (*.f64 x y)) x) z)))
(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)

Outputs
(-.f64 (.f64 x (.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)) z)
(if (<=.f64 x 0) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (fma.f64 (log.f64 x) x (.f64 (log.f64 y) (neg.f64 x))) z))
(if (<=.f64 x 0) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (fma.f64 (log.f64 x) x (.f64 (neg.f64 x) (log.f64 y))) z))
(if (<=.f64 y 0) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (.f64 x (-.f64 (log.f64 x) (log.f64 y))) z))
(if (<=.f64 x -1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (-.f64 (.f64 (log.f64 (.f64 x y)) x) z) (-.f64 (.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)))
(if (<=.f64 x -1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (-.f64 (.f64 x (log.f64 (.f64 x y))) z) (-.f64 (.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)))
(if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) -inf.0) (-.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1) z) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (-.f64 (.f64 (log.f64 (*.f64 x y)) x) z)))
(if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) -inf.0) (-.f64 (+.f64 (+.f64 (.f64 x (log.f64 (.f64 x y))) 1) -1) z) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (-.f64 (.f64 x (log.f64 (*.f64 x y))) z)))
(if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) -inf.0) (-.f64 (.f64 (log.f64 (.f64 x y)) x) z) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (-.f64 (.f64 (log.f64 (*.f64 x y)) x) z)))
(if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) -inf.0) (-.f64 (.f64 x (log.f64 (.f64 x y))) z) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (-.f64 (.f64 x (log.f64 (*.f64 x y))) z)))
(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
(-.f64 (.f64 x (log.f64 (.f64 x y))) z)

Compiler

Compiled 213 to 116 computations (45.5% saved)

soundness0.0ms (0%)

end71.0ms (0.7%)

Compiler: Compiled 195 to 68 computations (65.1% saved)