Details

analyze434.0ms (9.7%)

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)

sample1.4s (31.1%)

Results

1.2s	8256×	body	128	valid
129.0ms	789×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess54.0ms (1.2%)

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)

simplify57.0ms (1.3%)

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%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

17.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	17.5b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Compiler

Compiled 41 to 23 computations (43.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
✓	0.3b	(*.f64 x (log.f64 (/.f64 x y)))
✓	16.9b	(log.f64 (/.f64 x y))

series159.0ms (3.6%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	(*.f64 x (log.f64 (/.f64 x y)))
28.0ms	x	@	0	(log.f64 (/.f64 x y))
25.0ms	x	@	-inf	(log.f64 (/.f64 x y))
24.0ms	y	@	0	(log.f64 (/.f64 x y))
17.0ms	y	@	-inf	(log.f64 (/.f64 x y))

rewrite86.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`log1p-expm1-u_binary64`
916×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
91×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	174	27
2	2433	27

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

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

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

Outputs

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

simplify104.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-neg_binary64`
411×	`unsub-neg_binary64`
302×	`sub-neg_binary64`
286×	`distribute-rgt-in_binary64`
229×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	756
1	130	756
2	274	756
3	674	756
4	2023	756
5	3635	756
6	4339	756
7	4802	756
8	4926	756
9	4975	756
10	4983	756

Stop Event

1×	node limit

Counts

163 → 101

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

prune82.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	11	102

Error

0.0b

Counts

102 → 11

Alt Table

Status	Error	Program
▶	17.2b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
	31.7b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
	36.8b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
	32.6b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)
	17.9b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3) z)
	31.7b	(-.f64 (+.f64 (.f64 x (log.f64 (/.f64 1 y))) (.f64 (log.f64 x) x)) z)
	41.3b	(-.f64 (*.f64 x (exp.f64 (log.f64 (log.f64 (/.f64 x y))))) z)
	31.7b	(-.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)
	32.6b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	17.5b	(-.f64 (*.f64 x (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (log.f64 (cbrt.f64 (/.f64 x y))))) z)
	42.2b	(.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)))

Compiler

Compiled 1752 to 719 computations (59% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
✓	0.3b	(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))
✓	16.5b	(log.f64 (/.f64 y x))

series205.0ms (4.6%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
56.0ms	x	@	0	(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))
47.0ms	y	@	0	(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))
24.0ms	x	@	0	(log.f64 (/.f64 y x))
18.0ms	y	@	-inf	(log.f64 (/.f64 y x))
18.0ms	y	@	0	(log.f64 (/.f64 y x))

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`prod-diff_binary64`
252×	`fma-def_binary64`
167×	`fma-neg_binary64`
166×	`expm1-udef_binary64`
166×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	201	27
2	2886	27

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

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

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

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-neg_binary64`
399×	`unsub-neg_binary64`
330×	`sub-neg_binary64`
287×	`distribute-rgt-in_binary64`
263×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	900
1	166	810
2	388	810
3	913	810
4	2440	810
5	4345	810
6	4958	810

Stop Event

1×	node limit

Counts

255 → 193

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

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

prune145.0ms (3.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	191	2	193
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	192	12	204

Error

0.0b

Counts

204 → 12

Alt Table

Status	Error	Program
	41.2b	(-.f64 (*.f64 x (neg.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 y x)))) 1))) z)
✓	17.2b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
	31.7b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
	36.8b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
	32.6b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)
	17.9b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3) z)
	31.7b	(-.f64 (+.f64 (.f64 x (log.f64 (/.f64 1 y))) (.f64 (log.f64 x) x)) z)
	41.3b	(-.f64 (*.f64 x (exp.f64 (log.f64 (log.f64 (/.f64 x y))))) z)
▶	17.2b	(-.f64 (*.f64 x (neg.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (log.f64 (cbrt.f64 (/.f64 y x)))))) z)
	31.7b	(-.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)
	32.6b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	42.2b	(.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)))

Compiler

Compiled 3559 to 1225 computations (65.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (log.f64 (cbrt.f64 (/.f64 y x))))
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 y x)) 2)
✓	2.5b	(log.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))
✓	16.8b	(cbrt.f64 (/.f64 y x))

series26.0ms (0.6%)

Counts

4 → 0

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(log.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2))
2.0ms	y	@	-inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (log.f64 (cbrt.f64 (/.f64 y x))))
2.0ms	y	@	-inf	(cbrt.f64 (/.f64 y x))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (/.f64 y x)) 2)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 y x)) 2)

rewrite101.0ms (2.3%)

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

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

simplify11.0ms (0.2%)

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

prune190.0ms (4.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	174	12	186

Error

0.0b

Counts

186 → 12

Alt Table

Status	Error	Program
	41.2b	(-.f64 (*.f64 x (neg.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 y x)))) 1))) z)
✓	17.2b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
	31.7b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
	36.8b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
	32.6b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)
▶	17.9b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3) z)
	31.7b	(-.f64 (+.f64 (.f64 x (log.f64 (/.f64 1 y))) (.f64 (log.f64 x) x)) z)
	41.3b	(-.f64 (*.f64 x (exp.f64 (log.f64 (log.f64 (/.f64 x y))))) z)
✓	17.2b	(-.f64 (*.f64 x (neg.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (log.f64 (cbrt.f64 (/.f64 y x)))))) z)
	31.7b	(-.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)
	32.6b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	42.2b	(.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)))

Compiler

Compiled 4267 to 1854 computations (56.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (log.f64 (/.f64 x y)))
✓	0.5b	(cbrt.f64 (*.f64 x (log.f64 (/.f64 x y))))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3)
	16.9b	(log.f64 (/.f64 x y))

series17.0ms (0.4%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(cbrt.f64 (*.f64 x (log.f64 (/.f64 x y))))
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3)

rewrite45.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
763×	`log1p-expm1-u_binary64`
763×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
79×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	191	20
2	2099	20

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

simplify192.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

846×	`fma-def_binary64`
724×	`unswap-sqr_binary64`
404×	`fma-neg_binary64`
311×	`associate-l_binary64`
211×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	328
1	48	328
2	85	328
3	162	328
4	358	328
5	803	328
6	2145	328
7	4510	328

Stop Event

1×	node limit

Counts

83 → 69

Calls

Call 1

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

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

prune110.0ms (2.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	118	14	132

Error

0.0b

Counts

132 → 14

Alt Table

Status	Error	Program
	41.2b	(-.f64 (*.f64 x (neg.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 y x)))) 1))) z)
✓	17.2b	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
	31.7b	(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
	32.8b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))) 3) z)
	31.7b	(-.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)
	31.9b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y)))) 3) z)
	36.8b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 (/.f64 x y))) 3)) z)
	32.6b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)
✓	17.9b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) 3) z)
	31.7b	(-.f64 (+.f64 (.f64 x (log.f64 (/.f64 1 y))) (.f64 (log.f64 x) x)) z)
✓	17.2b	(-.f64 (*.f64 x (neg.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (log.f64 (cbrt.f64 (/.f64 y x)))))) z)
	18.0b	(-.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 x y))) (cbrt.f64 x)) 3) z)
	32.6b	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	42.2b	(.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)))

Compiler

Compiled 2064 to 942 computations (54.4% saved)

regimes628.0ms (14.1%)

Accuracy

Total 0.3b remaining (89.3%)

Threshold costs 0.3b (89.3%)

Counts

58 → 2

Compiler

Compiled 767 to 332 computations (56.7% saved)

bsearch17.0ms (0.4%)

Algorithm

1×	binary-search

Calls

1 calls:

17.0ms

Steps

Iters	Point		Range
0.0	∈ [	-1.136554268103175e-307	,	1.672832774203932e-308	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	42
1	33	42
2	42	42
3	47	42
4	49	42

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

end206.0ms (4.6%)

Stop Event

1×

fuel

Compiler

Compiled 302 to 201 computations (33.4% saved)

Details

analyze434.0ms (9.7%)

sample1.4s (31.1%)

preprocess54.0ms (1.2%)

simplify57.0ms (1.3%)

prune2.0ms (0%)

localize8.0ms (0.2%)

series159.0ms (3.6%)

rewrite86.0ms (1.9%)

simplify104.0ms (2.3%)

prune82.0ms (1.8%)

localize10.0ms (0.2%)

series205.0ms (4.6%)

rewrite63.0ms (1.4%)

simplify78.0ms (1.8%)

prune145.0ms (3.3%)

localize15.0ms (0.3%)

series26.0ms (0.6%)

rewrite101.0ms (2.3%)

simplify11.0ms (0.2%)

prune190.0ms (4.3%)

localize12.0ms (0.3%)

series17.0ms (0.4%)

rewrite45.0ms (1%)

simplify192.0ms (4.3%)

prune110.0ms (2.5%)

regimes628.0ms (14.1%)

bsearch17.0ms (0.4%)

simplify8.0ms (0.2%)

end206.0ms (4.6%)

Profiling