Details

analyze448.0ms (13.9%)

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
31.1%	25.1%	43.8%	13
34.6%	20%	45.4%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (33.9%)

Results

992.0ms	8256×	body	128	valid
85.0ms	839×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess49.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

455×	`div-sub_binary64`
369×	`fma-neg_binary64`
308×	`fma-def_binary64`
266×	`cancel-sign-sub-inv_binary64`
260×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	48
1	42	48
2	65	48
3	123	48
4	354	48
5	836	48
6	1839	48
7	2959	48
8	4118	48
9	4864	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)
(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
(-.f64 (*.f64 y (log.f64 (/.f64 y x))) z)
(fma.f64 y (log.f64 (/.f64 y x)) (neg.f64 z))
(neg.f64 (fma.f64 y (log.f64 (/.f64 x y)) 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))
(neg.f64 (fma.f64 x (log.f64 (/.f64 z x)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify51.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1663×	`fma-def_binary64`
528×	`fma-neg_binary64`
288×	`distribute-rgt-in_binary64`
230×	`unsub-neg_binary64`
193×	`distribute-lft-in_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	231	12
6	474	12
7	898	12
8	1256	12
9	2133	12
10	3636	12
11	4010	12
12	4136	12
13	4175	12
14	4189	12

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

17.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	17.1b	(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))

Compiler

Compiled 41 to 23 computations (43.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
✓	16.7b	(log.f64 (/.f64 x y))

series119.0ms (3.7%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(log.f64 (/.f64 x y))
20.0ms	x	@	-inf	(log.f64 (/.f64 x y))
19.0ms	x	@	-inf	(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
12.0ms	y	@	-inf	(log.f64 (/.f64 x y))
12.0ms	y	@	inf	(log.f64 (/.f64 x y))

rewrite40.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`pow1_binary64`
710×	`log1p-expm1-u_binary64`
710×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`
83×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	165	16
2	2137	16

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

Outputs

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

simplify87.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-neg_binary64`
410×	`unsub-neg_binary64`
305×	`sub-neg_binary64`
289×	`distribute-rgt-in_binary64`
230×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	558
1	125	540
2	268	540
3	669	540
4	2021	540
5	3640	540
6	4344	540
7	4799	540
8	4924	540
9	4973	540
10	4981	540

Stop Event

1×	node limit

Counts

112 → 70

Calls

Call 1

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

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

prune52.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	59	11	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	12	71

Error

0.0b

Counts

71 → 12

Alt Table

Status	Error	Program
	38.0b	(/.f64 (-.f64 (.f64 (.f64 x (log.f64 (/.f64 x y))) (.f64 x (log.f64 (/.f64 x y)))) (.f64 z z)) (fma.f64 x (log.f64 (/.f64 x y)) z))
▶	17.2b	(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))) (neg.f64 z))
	36.3b	(*.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2))
	30.7b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)
	37.6b	(fma.f64 x (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x y)))) 1) (neg.f64 z))
✓	17.1b	(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
	33.7b	(-.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (log.f64 y) x) z))
	17.3b	(fma.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)) (neg.f64 z))
	17.6b	(fma.f64 x (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3) (neg.f64 z))
	33.8b	(fma.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))) (neg.f64 z))
	33.8b	(fma.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))))) (neg.f64 z))
	30.7b	(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))

Compiler

Compiled 1283 to 533 computations (58.5% saved)

localize13.0ms (0.4%)

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)
✓	3.6b	(log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
✓	16.9b	(cbrt.f64 (/.f64 x y))

series22.0ms (0.7%)

Counts

4 → 0

Calls

24 calls:

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

rewrite71.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`prod-diff_binary64`
245×	`fma-def_binary64`
172×	`expm1-udef_binary64`
172×	`log1p-udef_binary64`
152×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	214	32
2	2714	32

Stop Event

1×	node limit

Counts

4 → 141

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

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

141 → 141

Calls

Call 1

Inputs

Outputs

prune142.0ms (4.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	173	13	186

Error

0.0b

Counts

186 → 13

Alt Table

Status	Error	Program
	38.0b	(/.f64 (-.f64 (.f64 (.f64 x (log.f64 (/.f64 x y))) (.f64 x (log.f64 (/.f64 x y)))) (.f64 z z)) (fma.f64 x (log.f64 (/.f64 x y)) z))
✓	17.2b	(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))) (neg.f64 z))
	36.3b	(*.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2))
	30.7b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)
	33.9b	(fma.f64 x (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (neg.f64 z))
▶	17.3b	(fma.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)) (neg.f64 z))
	37.6b	(fma.f64 x (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x y)))) 1) (neg.f64 z))
✓	17.1b	(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
	33.7b	(-.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (log.f64 y) x) z))
	17.6b	(fma.f64 x (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3) (neg.f64 z))
	33.8b	(fma.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))) (neg.f64 z))
	33.8b	(fma.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))))) (neg.f64 z))
	30.7b	(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))

Compiler

Compiled 4175 to 1525 computations (63.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)) (neg.f64 z))
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))
✓	0.7b	(pow.f64 (log.f64 (/.f64 x y)) 3)
	16.7b	(log.f64 (/.f64 x y))

series13.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (log.f64 (/.f64 x y)) 3)
1.0ms	x	@	inf	(pow.f64 (log.f64 (/.f64 x y)) 3)
1.0ms	y	@	-inf	(pow.f64 (log.f64 (/.f64 x y)) 3)
1.0ms	y	@	inf	(pow.f64 (log.f64 (/.f64 x y)) 3)
1.0ms	y	@	0	(pow.f64 (log.f64 (/.f64 x y)) 3)

rewrite47.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`log1p-expm1-u_binary64`
878×	`expm1-log1p-u_binary64`
106×	`add-sqr-sqrt_binary64`
100×	`add-log-exp_binary64`
100×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	235	25
2	2645	25

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs
(pow.f64 (log.f64 (/.f64 x y)) 3)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))
(fma.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)) (neg.f64 z))

Outputs

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

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

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

simplify35.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64`
582×	`distribute-lft-in_binary64`
314×	`fma-def_binary64`
201×	`associate-l_binary64`
178×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	953
1	160	938
2	376	936
3	1159	936

Stop Event

1×	node limit

Counts

163 → 105

Calls

Call 1

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

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

prune87.0ms (2.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	136	13	149

Error

0.0b

Counts

149 → 13

Alt Table

Status	Error	Program
	38.0b	(/.f64 (-.f64 (.f64 (.f64 x (log.f64 (/.f64 x y))) (.f64 x (log.f64 (/.f64 x y)))) (.f64 z z)) (fma.f64 x (log.f64 (/.f64 x y)) z))
✓	17.2b	(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))) (neg.f64 z))
	36.3b	(*.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2))
	30.7b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)
	33.9b	(fma.f64 x (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (neg.f64 z))
✓	17.3b	(fma.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)) (neg.f64 z))
	37.6b	(fma.f64 x (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x y)))) 1) (neg.f64 z))
✓	17.1b	(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
	33.7b	(-.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (log.f64 y) x) z))
▶	17.6b	(fma.f64 x (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3) (neg.f64 z))
	33.7b	(fma.f64 x (+.f64 (log.f64 x) (neg.f64 (log.f64 y))) (neg.f64 z))
	33.8b	(fma.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))))) (neg.f64 z))
	30.7b	(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))

Compiler

Compiled 2307 to 960 computations (58.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3) (neg.f64 z))
✓	0.5b	(cbrt.f64 (log.f64 (/.f64 x y)))
✓	0.8b	(pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)
	16.7b	(log.f64 (/.f64 x y))

series22.0ms (0.7%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)

rewrite53.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`log1p-expm1-u_binary64`
879×	`expm1-log1p-u_binary64`
106×	`add-sqr-sqrt_binary64`
100×	`add-log-exp_binary64`
100×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	235	24
2	2648	24

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3)
(cbrt.f64 (log.f64 (/.f64 x y)))
(fma.f64 x (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3) (neg.f64 z))

Outputs

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

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

simplify64.0ms (2%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-neg_binary64`
286×	`unsub-neg_binary64`
281×	`sub-neg_binary64`
259×	`distribute-rgt-in_binary64`
200×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	750
1	148	732
2	302	732
3	725	732
4	2131	732
5	4061	732
6	4937	732

Stop Event

1×	node limit

Counts

163 → 102

Calls

Call 1

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

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

prune76.0ms (2.3%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	9	9
Picked	0	1	1
Done	0	3	3
Total	133	13	146

Error

0.0b

Counts

146 → 13

Alt Table

Status	Error	Program
	38.0b	(/.f64 (-.f64 (.f64 (.f64 x (log.f64 (/.f64 x y))) (.f64 x (log.f64 (/.f64 x y)))) (.f64 z z)) (fma.f64 x (log.f64 (/.f64 x y)) z))
✓	17.2b	(fma.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y)))) (neg.f64 z))
	36.3b	(*.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 (/.f64 x y)) z)) 2))
	30.7b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)
	33.9b	(fma.f64 x (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (neg.f64 z))
✓	17.3b	(fma.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)) (neg.f64 z))
	37.6b	(fma.f64 x (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x y)))) 1) (neg.f64 z))
✓	17.1b	(fma.f64 x (log.f64 (/.f64 x y)) (neg.f64 z))
	33.7b	(-.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (log.f64 y) x) z))
✓	17.6b	(fma.f64 x (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) 3) (neg.f64 z))
	33.7b	(fma.f64 x (+.f64 (log.f64 x) (neg.f64 (log.f64 y))) (neg.f64 z))
	33.8b	(fma.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))))) (neg.f64 z))
	30.7b	(fma.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (neg.f64 z))

Compiler

Compiled 2125 to 839 computations (60.5% saved)

regimes393.0ms (12.2%)

Accuracy

Total 0.3b remaining (89.3%)

Threshold costs 0.3b (89.3%)

Counts

51 → 2

Compiler

Compiled 690 to 267 computations (61.3% saved)

bsearch42.0ms (1.3%)

Algorithm

1×	binary-search

Calls

1 calls:

42.0ms

Steps

Iters	Point		Range
0.0	∈ [	-2.4352186953028716e-282	,	1.2448795616850196e-306	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	42
1	35	42
2	42	42
3	45	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x 0) (-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z) (fma.f64 x (+.f64 (log.f64 x) (neg.f64 (log.f64 y))) (neg.f64 z)))

Outputs

(if (<=.f64 x 0) (-.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (neg.f64 x)) x)) z) (fma.f64 x (+.f64 (log.f64 x) (neg.f64 (log.f64 y))) (neg.f64 z)))

(if (<=.f64 x 0) (-.f64 (+.f64 (*.f64 x (log.f64 (/.f64 -1 y))) (*.f64 x (log.f64 (neg.f64 x)))) z) (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) (neg.f64 z)))

end163.0ms (5.1%)

Stop Event

1×

fuel

Compiler

Compiled 297 to 180 computations (39.4% saved)

Details

analyze448.0ms (13.9%)

sample1.1s (33.9%)

preprocess49.0ms (1.5%)

simplify51.0ms (1.6%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

series119.0ms (3.7%)

rewrite40.0ms (1.2%)

simplify87.0ms (2.7%)

prune52.0ms (1.6%)

localize13.0ms (0.4%)

series22.0ms (0.7%)

rewrite71.0ms (2.2%)

simplify8.0ms (0.3%)

prune142.0ms (4.4%)

localize9.0ms (0.3%)

series13.0ms (0.4%)

rewrite47.0ms (1.5%)

simplify35.0ms (1.1%)

prune87.0ms (2.7%)

localize9.0ms (0.3%)

series22.0ms (0.7%)

rewrite53.0ms (1.6%)

simplify64.0ms (2%)

prune76.0ms (2.3%)

regimes393.0ms (12.2%)

bsearch42.0ms (1.3%)

simplify2.0ms (0.1%)

end163.0ms (5.1%)

Profiling