Details

analyze209.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	87.4%	12.6%	5
0%	74.9%	25.1%	6
3.1%	71.8%	25.1%	7
7.8%	60.8%	31.4%	8
11.7%	50.7%	37.6%	9
17.6%	44.9%	37.6%	10
22.8%	36.5%	40.7%	11
26.6%	29.5%	43.8%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.7s (15.4%)

Results

1.5s	8256×	body	256	valid
117.0ms	1096×	body	256	invalid

preprocess209.0ms (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)

simplify310.0ms (2.9%)

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)

eval0.0ms (0%)

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

prune1.0ms (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

13.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.4b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (log.f64 (/.f64 x y)))
✓	12.9b	(log.f64 (/.f64 x y))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series164.0ms (1.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	x	@	-inf	(log.f64 (/.f64 x y))
28.0ms	x	@	0	(log.f64 (/.f64 x y))
28.0ms	x	@	0	(*.f64 x (log.f64 (/.f64 x y)))
18.0ms	y	@	inf	(log.f64 (/.f64 x y))
17.0ms	y	@	-inf	(log.f64 (/.f64 x y))

rewrite136.0ms (1.2%)

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)))))))))

simplify309.0ms (2.8%)

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)))

eval25.0ms (0.2%)

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

prune42.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	35	12	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	13	48

Error

0.1b

Counts

48 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.4b	(-.f64 (*.f64 x (pow.f64 (sqrt.f64 (log.f64 (/.f64 x y))) 2)) z)
	33.2b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
	33.2b	(-.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)
✓	13.4b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
▶	13.4b	(-.f64 (*.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))) z)
	13.5b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
▶	14.1b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
▶	31.2b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	33.2b	(-.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)
	37.6b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
	13.8b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3) z)
	39.5b	(-.f64 (*.f64 x (exp.f64 (log.f64 (log.f64 (/.f64 x y))))) z)
▶	39.5b	(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))) z)

Compiler

Compiled 407 to 259 computations (36.4% saved)

localize65.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
✓	4.1b	(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
✓	13.3b	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 77 to 27 computations (64.9% saved)

series38.0ms (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	y	@	-inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))
3.0ms	x	@	-inf	(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
3.0ms	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))))

rewrite151.0ms (1.4%)

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)))) 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(#(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))))))))

simplify22.0ms (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

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))
✓	13.7b	(log.f64 (/.f64 y x))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series147.0ms (1.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
64.0ms	x	@	0	(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))
17.0ms	y	@	-inf	(log.f64 (/.f64 y x))
17.0ms	y	@	0	(log.f64 (/.f64 y x))
14.0ms	x	@	-inf	(log.f64 (/.f64 y x))
14.0ms	x	@	0	(log.f64 (/.f64 y x))

rewrite66.0ms (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)))))))))

simplify258.0ms (2.4%)

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)))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 43 to 10 computations (76.7% saved)

series126.0ms (1.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	x	@	0	(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
32.0ms	y	@	0	(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
13.0ms	x	@	-inf	(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
11.0ms	x	@	0	(*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))
10.0ms	y	@	inf	(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`pow1_binary64`
792×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
777×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	190	15
2	2669	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

simplify240.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2796×	`fma-neg_binary64`
813×	`fma-def_binary64`
606×	`unsub-neg_binary64`
452×	`distribute-rgt-in_binary64`
292×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	792
1	93	648
2	196	648
3	529	456
4	1682	456
5	3955	456
6	4931	456
7	5172	456
8	5241	456
9	5261	456
10	5267	456
11	5631	456
12	6230	456
13	6313	456
14	6343	456
15	6369	456
16	6377	456
17	6417	456
18	6441	456
19	6441	456

Stop Event

1×	node limit

Counts

102 → 68

Calls

Call 1

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

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

localize17.0ms (0.2%)

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))))
	12.9b	(log.f64 (/.f64 x y))

Compiler

Compiled 42 to 9 computations (78.6% saved)

series378.0ms (3.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
233.0ms	y	@	-inf	(log1p.f64 (log.f64 (/.f64 x y)))
59.0ms	x	@	0	(log1p.f64 (log.f64 (/.f64 x y)))
30.0ms	y	@	0	(log1p.f64 (log.f64 (/.f64 x y)))
19.0ms	x	@	-inf	(log1p.f64 (log.f64 (/.f64 x y)))
18.0ms	y	@	inf	(log1p.f64 (log.f64 (/.f64 x y)))

rewrite67.0ms (0.6%)

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)))))))))

simplify199.0ms (1.8%)

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)))

localize76.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (log.f64 (/.f64 x y)))
✓	0.1b	(*.f64 x (pow.f64 (sqrt.f64 (log.f64 (/.f64 x y))) 2))
✓	0.2b	(pow.f64 (sqrt.f64 (log.f64 (/.f64 x y))) 2)
	12.9b	(log.f64 (/.f64 x y))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series19.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite309.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`pow1_binary64`
727×	`add-log-exp_binary64`
727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
710×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	188	23
2	2008	23

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

simplify327.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2599×	`fma-neg_binary64`
954×	`fma-def_binary64`
439×	`unsub-neg_binary64`
399×	`distribute-rgt-in_binary64`
279×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	768
1	66	696
2	130	696
3	346	696
4	888	696
5	1887	696
6	3856	696
7	4549	696
8	4664	696
9	4690	696
10	4704	696
11	4705	696
12	4981	696
13	5548	696
14	5630	696
15	5660	696
16	5686	696
17	5694	696
18	5734	696
19	5758	696
20	5758	696

Stop Event

1×	node limit

Counts

131 → 76

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

eval274.0ms (2.5%)

Compiler: Compiled 12182 to 4992 computations (59% saved)

prune172.0ms (1.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	641	9	650
Fresh	4	3	7
Picked	1	0	1
Done	2	3	5
Total	648	15	663

Error

0.0b

Counts

663 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.1b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
▶	37.6b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
	36.3b	(-.f64 (*.f64 x (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 y (sqrt.f64 x))))) z)
✓	13.4b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
▶	33.1b	(-.f64 (+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x)) z)
	33.2b	(-.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)
	13.5b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
✓	31.2b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
▶	13.5b	(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
▶	39.2b	(-.f64 (*.f64 x (neg.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 y x)))))) z)
	34.6b	(-.f64 (.f64 x (-.f64 (.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 y (cbrt.f64 x))))) z)
	13.8b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3) z)
	33.2b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
▶	13.4b	(-.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) z)
	37.7b	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 y) 2)) x) (log.f64 (.f64 x y))) z)

Compiler

Compiled 419 to 281 computations (32.9% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3))
✓	0.3b	(*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)
	13.3b	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series8.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

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

rewrite60.0ms (0.6%)

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	25
1	183	15
2	2256	15

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

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)))))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

32 → 32

Calls

Call 1

Inputs

Outputs

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y)))))
✓	0.3b	(*.f64 3 (log.f64 (/.f64 x y)))
✓	0.3b	(.f64 1/3 (.f64 3 (log.f64 (/.f64 x y))))
	12.9b	(log.f64 (/.f64 x y))

Compiler

Compiled 51 to 24 computations (52.9% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y)))))
0.0ms	x	@	inf	(*.f64 3 (log.f64 (/.f64 x y)))
0.0ms	y	@	-inf	(*.f64 3 (log.f64 (/.f64 x y)))
0.0ms	x	@	-inf	(*.f64 3 (log.f64 (/.f64 x y)))
0.0ms	y	@	0	(*.f64 3 (log.f64 (/.f64 x y)))

rewrite70.0ms (0.6%)

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

((#(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))))))))

simplify196.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2831×	`fma-neg_binary64`
583×	`unsub-neg_binary64`
550×	`fma-def_binary64`
434×	`distribute-rgt-in_binary64`
268×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	792
1	95	720
2	212	720
3	543	720
4	1275	720
5	2690	720
6	4732	720
7	5540	720
8	5894	720
9	5972	720
10	5996	720
11	6000	720
12	6016	720
13	6018	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 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))))
(*.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 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)
(*.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)))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 10 computations (77.3% saved)

series68.0ms (0.6%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x))
15.0ms	y	@	0	(+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x))
13.0ms	x	@	-inf	(+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x))
10.0ms	y	@	-inf	(+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x))
2.0ms	x	@	-inf	(*.f64 (log.f64 x) x)

rewrite77.0ms (0.7%)

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))))))))

simplify253.0ms (2.3%)

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))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (log.f64 (/.f64 y x)))
✓	0.1b	(*.f64 x (neg.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 y x))))))
✓	0.6b	(expm1.f64 (log1p.f64 (log.f64 (/.f64 y x))))
	13.7b	(log.f64 (/.f64 y x))

Compiler

Compiled 51 to 10 computations (80.4% saved)

series113.0ms (1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(log1p.f64 (log.f64 (/.f64 y x)))
22.0ms	y	@	-inf	(log1p.f64 (log.f64 (/.f64 y x)))
19.0ms	y	@	0	(log1p.f64 (log.f64 (/.f64 y x)))
19.0ms	y	@	inf	(log1p.f64 (log.f64 (/.f64 y x)))
17.0ms	x	@	-inf	(log1p.f64 (log.f64 (/.f64 y x)))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`pow1_binary64`
688×	`add-log-exp_binary64`
687×	`expm1-log1p-u_binary64`
686×	`log1p-expm1-u_binary64`
673×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	168	23
2	2200	23

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

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

simplify285.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2192×	`fma-neg_binary64`
829×	`fma-def_binary64`
824×	`associate--r-_binary64`
424×	`unsub-neg_binary64`
335×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	888
1	123	744
2	324	696
3	891	696
4	2383	696
5	4933	696
6	5610	696
7	5801	696
8	5860	696
9	5881	696
10	5892	696
11	5951	696
12	5975	696
13	5975	696
14	5975	696

Stop Event

1×	node limit

Counts

143 → 88

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

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))
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(-.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.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 x (neg.f64 (-.f64 (log.f64 y) (log.f64 x))))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 y))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 y))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 y))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 y))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 (/.f64 -1 x)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 (/.f64 -1 x)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 (/.f64 -1 x)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 (/.f64 -1 x)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 y))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 y))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 y))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 y))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (*.f64 -1 y)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (*.f64 -1 y)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (*.f64 -1 y)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (log.f64 x)))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (*.f64 -1 y)))))
(log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 y)))
(log1p.f64 (-.f64 (log.f64 y) (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	(*.f64 x (log.f64 (/.f64 x y)))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2)
	12.9b	(log.f64 (/.f64 x y))

Compiler

Compiled 47 to 13 computations (72.3% saved)

series16.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
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)
2.0ms	x	@	0	(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)

rewrite368.0ms (3.4%)

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))))))))))

simplify268.0ms (2.5%)

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))))

eval346.0ms (3.2%)

Compiler: Compiled 8066 to 3527 computations (56.3% saved)

prune104.0ms (1%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	507	12	519
Fresh	3	4	7
Picked	0	1	1
Done	2	5	7
Total	512	22	534

Error

0.0b

Counts

534 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	13.5b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
	41.7b	(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3/2)) 2) z)
▶	0.2b	(-.f64 (.f64 x (.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)) z)
✓	37.6b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
▶	35.3b	(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
▶	50.6b	(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 2) (.f64 (neg.f64 (log.f64 y)) x)) z)
	37.7b	(-.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 1/4) 2) 2) z)
	13.8b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3) z)
▶	31.2b	(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) z)
✓	13.4b	(-.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) z)
	39.7b	(-.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x)) z)
	35.5b	(-.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 (.f64 x y)))) 1) z)
▶	26.5b	(-.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) z)
	33.1b	(-.f64 (-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 y))) z)
	37.7b	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 y) 2)) x) (log.f64 (.f64 x y))) z)
	39.4b	(-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (/.f64 x y)))) z)
✓	31.2b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
✓	13.5b	(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
✓	13.4b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
✓	39.2b	(-.f64 (*.f64 x (neg.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 y x)))))) z)
	13.8b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 x y))) x)) z)
	33.2b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)

Compiler

Compiled 592 to 404 computations (31.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 17 computations (67.3% saved)

series8.0ms (0.1%)

Counts

4 → 0

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)
1.0ms	y	@	-inf	(/.f64 (cbrt.f64 x) (cbrt.f64 y))
1.0ms	y	@	0	(cbrt.f64 y)
0.0ms	y	@	-inf	(cbrt.f64 y)
0.0ms	y	@	0	(*.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)

rewrite73.0ms (0.7%)

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

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 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))))))))
((#(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))))))))

simplify9.0ms (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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
✓	0.3b	(.f64 (log.f64 (.f64 x y)) x)
✓	15.2b	(log.f64 (*.f64 x y))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series31.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	(log.f64 (*.f64 x y))
8.0ms	x	@	-inf	(log.f64 (*.f64 x y))
5.0ms	z	@	0	(-.f64 (.f64 (log.f64 (.f64 x y)) x) z)
3.0ms	x	@	0	(.f64 (log.f64 (.f64 x y)) x)
1.0ms	x	@	-inf	(.f64 (log.f64 (.f64 x y)) x)

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`pow1_binary64`
839×	`add-log-exp_binary64`
839×	`log1p-expm1-u_binary64`
839×	`expm1-log1p-u_binary64`
821×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	168	27
2	2250	27

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

simplify148.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2056×	`fma-def_binary64`
585×	`fma-neg_binary64`
417×	`unsub-neg_binary64`
355×	`associate--r+_binary64`
338×	`associate--r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	756
1	111	756
2	194	756
3	516	756
4	1569	756
5	3432	756
6	4837	756
7	5509	756
8	5628	756
9	5668	756
10	5733	756

Stop Event

1×	node limit

Counts

156 → 95

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 3 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))
✓	0.1b	(.f64 x (.f64 1/3 (*.f64 3 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))))
✓	0.2b	(.f64 1/3 (.f64 3 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))
	0.3b	(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))

Compiler

Compiled 73 to 27 computations (63% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
359×	`prod-diff_binary64`
323×	`pow-prod-down_binary64`
269×	`pow2_binary64`
254×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	277	24
2	3370	24

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

Inputs

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

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

(*.f64 3 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))

Outputs

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x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (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 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (sqrt.f64 x) 1)) (log.f64 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 y) -2)) (log.f64 (/.f64 x (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))) (log.f64 (/.f64 (sqrt.f64 x) 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log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) (exp.f64 (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 y))) (+.f64 1 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y -1) (+.f64 1 (-.f64 x 1))))))) (#(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 1/3 (*.f64 3 (log.f64 (/.f64 x y))) (fma.f64 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simplify183.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3126×	`fma-neg_binary64`
681×	`unsub-neg_binary64`
466×	`distribute-rgt-in_binary64`
289×	`sub-neg_binary64`
261×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1224
1	106	1008
2	249	1008
3	674	720
4	2207	720
5	4354	720
6	5546	720
7	5941	720
8	6053	720
9	6081	720
10	6087	720
11	6111	720
12	6114	720

Stop Event

1×	node limit

Counts

256 → 204

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (log.f64 (/.f64 x y)) (cbrt.f64 (.f64 x x)))
	0.6b	(cbrt.f64 x)
	12.9b	(log.f64 (/.f64 x y))
✓	31.0b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 57 to 11 computations (80.7% saved)

series8.0ms (0.1%)

Counts

2 → 12

Calls

9 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`pow1_binary64`
714×	`add-log-exp_binary64`
714×	`log1p-expm1-u_binary64`
714×	`expm1-log1p-u_binary64`
695×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	161	20
2	1987	20

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-def_binary64`
509×	`unsub-neg_binary64`
449×	`sub-neg_binary64`
434×	`distribute-rgt-in_binary64`
346×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	228
1	67	212
2	151	212
3	394	212
4	1348	212
5	4235	212
6	6892	212

Stop Event

1×	node limit

Counts

43 → 36

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 2) (.f64 (neg.f64 (log.f64 y)) x))
✓	0.1b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	0.1b	(*.f64 x (log.f64 x))
	0.1b	(*.f64 (neg.f64 (log.f64 y)) x)

Compiler

Compiled 63 to 19 computations (69.8% saved)

series9.0ms (0.1%)

Counts

3 → 27

Calls

12 calls:

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`log-prod_binary64`
360×	`exp-prod_binary64`
351×	`pow-prod-down_binary64`
314×	`fma-def_binary64`
252×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	257	18
2	3117	18

Stop Event

1×	node limit

Counts

3 → 365

Calls

Call 1

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

Outputs

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

simplify220.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2946×	`fma-neg_binary64`
523×	`fma-def_binary64`
411×	`distribute-rgt-in_binary64`
293×	`unsub-neg_binary64`
291×	`associate--r-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	276
1	73	252
2	156	228
3	396	228
4	912	228
5	2163	228
6	3274	228
7	3504	228
8	3529	228
9	3541	228
10	3541	228
11	5406	228
12	5982	228
13	6066	228
14	6092	228
15	6114	228
16	6116	228
17	6116	228
18	6136	228

Stop Event

1×	node limit

Counts

392 → 144

Calls

Call 1

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

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

eval170.0ms (1.6%)

Compiler: Compiled 11758 to 4972 computations (57.7% saved)

prune128.0ms (1.2%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	661	7	668
Fresh	3	8	11
Picked	0	1	1
Done	1	9	10
Total	665	25	690

Error

0.0b

Counts

690 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	13.5b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
	41.7b	(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3/2)) 2) z)
✓	0.2b	(-.f64 (.f64 x (.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)) z)
✓	37.6b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
✓	50.6b	(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 2) (.f64 (neg.f64 (log.f64 y)) x)) z)
	37.7b	(-.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 1/4) 2) 2) z)
✓	13.5b	(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
	29.7b	(neg.f64 z)
	47.1b	(-.f64 (*.f64 x (neg.f64 (log.f64 y))) z)
✓	13.4b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
✓	39.2b	(-.f64 (*.f64 x (neg.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 y x)))))) z)
	33.2b	(-.f64 (.f64 x (.f64 1/3 (+.f64 (.f64 (log.f64 x) 3) (.f64 (neg.f64 (log.f64 y)) 3)))) z)
	13.8b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3) z)
✓	31.2b	(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) z)
	17.5b	(-.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (.f64 x (cbrt.f64 x))))) (cbrt.f64 x)) z)
	33.1b	(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
	13.8b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 x y))) x)) z)
	33.2b	(-.f64 (.f64 x (.f64 1/3 (fma.f64 (log.f64 x) 3 (*.f64 (neg.f64 (log.f64 y)) 3)))) z)
✓	26.5b	(-.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) z)
	33.1b	(-.f64 (-.f64 (.f64 x (log.f64 x)) (.f64 x (log.f64 y))) z)
	39.4b	(-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (/.f64 x y)))) z)
✓	31.2b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	61.0b	(.f64 (log.f64 (.f64 y x)) x)
	33.2b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
✓	13.4b	(-.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 3)) z)

Compiler

Compiled 374 to 259 computations (30.7% saved)

regimes129.0ms (1.2%)

Counts

41 → 1

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 (log.f64 (.f64 y x)) x)
(-.f64 (*.f64 x (neg.f64 (log.f64 y))) z)
(-.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 1/3 (*.f64 3 (log.f64 (/.f64 x y))))) z)
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 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 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x)) z)
(-.f64 (.f64 x (.f64 1/3 (*.f64 3 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) z)
(-.f64 (.f64 x (.f64 1/3 (+.f64 (.f64 (log.f64 x) 3) (.f64 (neg.f64 (log.f64 y)) 3)))) z)
(-.f64 (*.f64 x (exp.f64 (log.f64 (log.f64 (/.f64 x y))))) z)
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (log.f64 (/.f64 x y))))) z)
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
(-.f64 (*.f64 x (neg.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 y x)))))) z)
(-.f64 (*.f64 x (pow.f64 (sqrt.f64 (log.f64 (/.f64 x y))) 2)) z)
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 2) z)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3) z)
(-.f64 (.f64 x (.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)) z)
(-.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x)) z)
(-.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) z)
(-.f64 (.f64 x (.f64 1/3 (fma.f64 (log.f64 x) 3 (*.f64 (neg.f64 (log.f64 y)) 3)))) z)
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3/2)) 2) z)
(-.f64 (*.f64 x (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 y (sqrt.f64 x))))) z)
(-.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 1/4) 2) 2) z)
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 2) (.f64 (neg.f64 (log.f64 y)) x)) z)
(-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (/.f64 x y)))) z)
(-.f64 (.f64 x (-.f64 (.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 y (cbrt.f64 x))))) z)
(-.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 x y))) x)) 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 (.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 y) 2)) x) (log.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 (log.f64 (/.f64 x y)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (.f64 x (cbrt.f64 x))))) (cbrt.f64 x)) 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:

22.0ms	y
19.0ms	z
19.0ms	x
19.0ms	(*.f64 x (log.f64 (/.f64 x y)))
18.0ms	(*.f64 x (log.f64 (/.f64 x y)))

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 562 to 247 computations (56% saved)

regimes161.0ms (1.5%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

6 calls:

31.0ms	(*.f64 x (log.f64 (/.f64 x y)))
31.0ms	(*.f64 x (log.f64 (/.f64 x y)))
29.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
24.0ms	y
24.0ms	x

Results

Error	Segments	Branch
0.3b	2	`x`
0.3b	2	`y`
13.4b	1	`z`
4.8b	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
4.8b	3	`(*.f64 x (log.f64 (/.f64 x y)))`
4.8b	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 299 to 140 computations (53.2% saved)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	-6.760333774910156e-303	8.356045135359846e-302

Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes122.0ms (1.1%)

Counts

12 → 3

Calls

Call 1

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

Calls

6 calls:

30.0ms	y
23.0ms	x
19.0ms	(*.f64 x (log.f64 (/.f64 x y)))
19.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
18.0ms	(*.f64 x (log.f64 (/.f64 x y)))

Results

Error	Segments	Branch
3.4b	3	`x`
5.2b	4	`y`
13.4b	1	`z`
4.8b	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
4.8b	3	`(*.f64 x (log.f64 (/.f64 x y)))`
4.8b	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 148 to 78 computations (47.3% saved)

bsearch53.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	-2.5328860145559656e-306	1.2892482841427003e-302
30.0ms	-2.2089761858288727e-118	-3.4371339286541734e-121

Compiler

Compiled 350 to 251 computations (28.3% saved)

regimes98.0ms (0.9%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	y
19.0ms	x
15.0ms	(*.f64 x (log.f64 (/.f64 x y)))
15.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
15.0ms	(*.f64 x (log.f64 (/.f64 x y)))

Results

Error	Segments	Branch
3.4b	3	`x`
5.2b	4	`y`
13.4b	1	`z`
4.8b	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
4.8b	3	`(*.f64 x (log.f64 (/.f64 x y)))`
4.8b	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 126 to 68 computations (46% saved)

bsearch53.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	-2.5328860145559656e-306	1.2892482841427003e-302
30.0ms	-2.2089761858288727e-118	-3.4371339286541734e-121

Compiler

Compiled 332 to 242 computations (27.1% saved)

regimes85.0ms (0.8%)

Counts

8 → 3

Calls

Call 1

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

6 calls:

18.0ms	y
16.0ms	x
14.0ms	(*.f64 x (log.f64 (/.f64 x y)))
14.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
14.0ms	(*.f64 x (log.f64 (/.f64 x y)))

Results

Error	Segments	Branch
7.8b	3	`x`
11.6b	3	`y`
13.4b	1	`z`
5.8b	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
5.8b	3	`(*.f64 x (log.f64 (/.f64 x y)))`
5.8b	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 108 to 64 computations (40.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0738545848768563e+293	+inf
0.0ms	-inf	-2.9101486242232813e+303

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes25.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
7.0ms	x
4.0ms	z

Results

Error	Segments	Branch
27.9b	2	`x`
27.9b	2	`y`
29.7b	1	`z`

Compiler

Compiled 38 to 24 computations (36.8% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	6.204332984261837e-207	4.545213393719632e-206

Compiler

Compiled 119 to 90 computations (24.4% saved)

regimes12.0ms (0.1%)

Accuracy

Total -32.9b remaining (-110.7%)

Threshold costs -32.9b (-110.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 z)
(.f64 (log.f64 (.f64 y x)) x)

Outputs
(neg.f64 z)

Calls

3 calls:

4.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
29.7b	1	`x`
29.7b	1	`y`
29.7b	1	`z`

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
17×	`*-commutative_binary64`
17×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	232
1	95	232
2	120	232
3	133	232
4	137	232
5	138	232

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 y 0) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (-.f64 (.f64 x (log.f64 x)) (*.f64 x (log.f64 y))) z))
(if (<=.f64 x -159904519345033504/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (if (<=.f64 x 9651291528096706/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (neg.f64 z) (-.f64 (-.f64 (.f64 x (log.f64 x)) (*.f64 x (log.f64 y))) z)))
(if (<=.f64 x -159904519345033504/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (if (<=.f64 x 9651291528096706/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (neg.f64 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 (log.f64 (.f64 x y)) x) z) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (-.f64 (.f64 (log.f64 (*.f64 x y)) x) z)))
(if (<=.f64 x 16266320402159332/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (neg.f64 z) (-.f64 (*.f64 x (neg.f64 (log.f64 y))) z))
(neg.f64 z)

Outputs
(-.f64 (.f64 x (.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 3)) z)
(if (<=.f64 y 0) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (-.f64 (.f64 x (log.f64 x)) (*.f64 x (log.f64 y))) z))
(if (<=.f64 x -159904519345033504/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (if (<=.f64 x 9651291528096706/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (neg.f64 z) (-.f64 (-.f64 (.f64 x (log.f64 x)) (*.f64 x (log.f64 y))) z)))
(if (<=.f64 x -4997016229532297/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (if (<=.f64 x 4825645764048353/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968) (neg.f64 z) (-.f64 (-.f64 (.f64 x (log.f64 x)) (*.f64 x (log.f64 y))) z)))
(if (<=.f64 x -159904519345033504/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (if (<=.f64 x 9651291528096706/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (neg.f64 z) (-.f64 (.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)))
(if (<=.f64 x -4997016229532297/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (if (<=.f64 x 4825645764048353/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968) (neg.f64 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 (log.f64 (.f64 x y)) x) z) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.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))) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) (-.f64 (.f64 x (log.f64 (*.f64 x y))) z)))
(if (<=.f64 x 16266320402159332/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (neg.f64 z) (-.f64 (*.f64 x (neg.f64 (log.f64 y))) z))
(if (<=.f64 x 4066580100539833/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184) (neg.f64 z) (-.f64 (*.f64 x (neg.f64 (log.f64 y))) z))
(if (<=.f64 x 4066580100539833/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184) (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 x (log.f64 y))))
(neg.f64 z)

Compiler

Compiled 172 to 100 computations (41.9% saved)

soundness0.0ms (0%)

end65.0ms (0.6%)

Compiler: Compiled 154 to 61 computations (60.4% saved)