Details

analyze259.0ms (2.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	74.9%	0.1%	25%	0%	0%	3
0%	0%	74.9%	0.1%	25%	0%	0%	4
0%	0%	62.4%	0.1%	37.4%	0%	0%	5
0%	0%	56.2%	0.1%	37.4%	6.2%	0%	6
11.1%	6.2%	49.9%	0.1%	37.4%	6.2%	0%	7
17.6%	9.4%	43.7%	0.1%	40.6%	6.2%	0%	8
27.3%	14%	37.4%	0.1%	40.6%	7.8%	0%	9
40.9%	21.1%	30.4%	0.1%	40.6%	7.8%	0%	10
48.5%	24.6%	26.1%	0.1%	41.3%	7.8%	0%	11
57%	28.7%	21.6%	0.1%	41.3%	8.2%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.7s (27.3%)

Results

2.6s	8254×	body	256	valid
7.0ms	48×	body	256	invalid
5.0ms	30×	body	256	infinite
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess215.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

3570×	`fma-neg_binary64`
578×	`distribute-rgt-in_binary64`
511×	`sub-neg_binary64`
416×	`distribute-lft-in_binary64`
395×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	46	48
2	112	48
3	264	48
4	551	48
5	1259	48
6	2557	48
7	4540	48
8	5596	48
9	6613	48
10	6743	48
11	6821	48
12	6842	48
13	7152	48
14	7376	48
15	7400	48
16	7418	48
17	7430	48
18	7430	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 (*.f64 x (log.f64 y)) z) y)
(-.f64 (-.f64 (*.f64 y (log.f64 x)) z) x)
(-.f64 (-.f64 (*.f64 z (log.f64 y)) x) y)
(-.f64 (-.f64 (*.f64 x (log.f64 z)) y) z)

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify198.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3351×	`fma-neg_binary64`
480×	`distribute-rgt-in_binary64`
434×	`unsub-neg_binary64`
353×	`fma-def_binary64`
298×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	16	12
2	36	12
3	82	12
4	168	12
5	331	12
6	539	12
7	1289	12
8	2646	12
9	4281	12
10	5008	12
11	5366	12
12	5485	12
13	5519	12
14	5523	12
15	5725	12
16	5884	12
17	5908	12
18	5920	12
19	5928	12
20	5928	12

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 19 to 9 computations (52.6% saved)

prune1.0ms (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

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
✓	0.2b	(*.f64 x (log.f64 y))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series146.0ms (1.5%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
60.0ms	x	@	0	(*.f64 x (log.f64 y))
50.0ms	y	@	-inf	(*.f64 x (log.f64 y))
20.0ms	y	@	0	(*.f64 x (log.f64 y))
10.0ms	y	@	inf	(*.f64 x (log.f64 y))
2.0ms	z	@	0	(-.f64 (*.f64 x (log.f64 y)) z)

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`pow1_binary64`
725×	`add-log-exp_binary64`
725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
709×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	147	15
2	1963	15

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

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

Outputs

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

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

simplify163.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

731×	`distribute-rgt-in_binary64`
679×	`unsub-neg_binary64`
604×	`distribute-lft-in_binary64`
529×	`associate--l-_binary64`
497×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	441
1	50	441
2	88	441
3	219	441
4	493	441
5	1112	441
6	3154	441
7	3785	441
8	4032	441
9	4095	441
10	4125	441
11	4127	441
12	5075	441
13	7150	441
14	7742	441
15	7965	441

Stop Event

1×	node limit

Counts

108 → 57

Calls

Call 1

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

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

eval120.0ms (1.2%)

Compiler: Compiled 790 to 297 computations (62.4% saved)

prune14.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Error

0.0b

Counts

58 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
▶	17.7b	(-.f64 (neg.f64 z) y)
▶	0.8b	(-.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3) y)
▶	40.0b	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z))))) y)

Compiler

Compiled 69 to 41 computations (40.6% saved)

localize10.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize85.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (.f64 x (log.f64 y)) (neg.f64 z))))
✓	4.0b	(-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))
✓	4.6b	(+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3))
✓	40.5b	(/.f64 (+.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))

Compiler

Compiled 154 to 44 computations (71.4% saved)

series80.0ms (0.8%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))
5.0ms	x	@	0	(+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3))
5.0ms	y	@	0	(/.f64 (+.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))
5.0ms	y	@	-inf	(/.f64 (+.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))
4.0ms	y	@	inf	(/.f64 (+.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))

rewrite209.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`fma-neg_binary64`
308×	`expm1-udef_binary64`
308×	`log1p-udef_binary64`
217×	`add-sqr-sqrt_binary64`
213×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	106
1	444	53
2	6636	53

Stop Event

1×	node limit

Counts

4 → 276

Calls

Call 1

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

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

simplify147.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-def_binary64`
485×	`associate-l_binary64`
428×	`associate-r_binary64`
264×	`div-sub_binary64`
231×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	3024
1	394	2697
2	1579	2417
3	7134	2417

Stop Event

1×	node limit

Counts

420 → 324

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
	0.2b	(*.f64 x (log.f64 y))
✓	0.6b	(cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))
✓	0.7b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)

Compiler

Compiled 46 to 13 computations (71.7% saved)

series53.0ms (0.5%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
5.0ms	z	@	inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	214	20
2	2446	20

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify149.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

395×	`associate-+l+_binary64`
394×	`associate-+r+_binary64`
355×	`distribute-lft-in_binary64`
355×	`distribute-rgt-in_binary64`
278×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	2175
1	741	1912
2	2666	1899
3	7574	1894

Stop Event

1×	node limit

Counts

107 → 107

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 1 1/3) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) z)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y)))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y))))) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) z)) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y)))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y))))) x) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2))))) (cbrt.f64 -1))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) z) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) z) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))))) (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) z)) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y)))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y))))) x) (+.f64 (.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (/.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))))) (cbrt.f64 -1)))) (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (log.f64 y) 3) z)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))))))) (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2))))) (log.f64 y)) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2))))) (cbrt.f64 -1))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) z) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) z) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))))) (pow.f64 x 2)))))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (log.f64 y) x) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (log.f64 y) x) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (log.f64 y) x) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (log.f64 y) x) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(.f64 (pow.f64 1 1/3) (-.f64 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (.f64 -2/3 (pow.f64 (.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))) z) (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)) (.f64 (pow.f64 (.f64 1 (.f64 (log.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (.f64 -2/3 (pow.f64 (.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))) z) (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))))
(+.f64 (.f64 (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 (log.f64 y) x)) 1/3) (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (.f64 (log.f64 y) x)))) (.f64 -2/3 (.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/3))))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 -1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)) (.f64 (pow.f64 (.f64 1 (.f64 (log.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (.f64 -2/3 (pow.f64 (.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))) z) (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))))
(.f64 (pow.f64 (.f64 1 z) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (log.f64 y) x)))) (.f64 (pow.f64 (.f64 1 z) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (log.f64 y) x)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3)))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (.f64 (log.f64 y) x)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))))))
(pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) 1/3)
(pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) 1/3)
(pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) 1/3)
(pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) 1/3)
(pow.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z) 1/3)
(pow.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z) 1/3)
(pow.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z) 1/3)
(pow.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z) 1/3)
(pow.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z) 1/3)
(pow.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z) 1/3)
(pow.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z) 1/3)
(pow.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z) 1/3)
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) z)))
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/9) (pow.f64 z 2))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) z))))
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))) (pow.f64 z 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/9) (pow.f64 z 2))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) z)))))

Outputs
(.f64 -1 (.f64 (pow.f64 1 1/3) z))
(neg.f64 z)
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) z)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y)))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y))))) x))
(fma.f64 -1 z (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (log.f64 y))) 1) x))
(-.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (log.f64 y))) x) z)
(-.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18)) (log.f64 y)) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1)))) x) z)
(-.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18)) (log.f64 y)) (cbrt.f64 (neg.f64 (cbrt.f64 -1)))) x) z)
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) z)) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y)))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y))))) x) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 z 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2))))) (cbrt.f64 -1))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) z) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) z) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))))) (pow.f64 x 2))))
(fma.f64 -1 z (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (log.f64 y))) 1) x (.f64 (fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 -1) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (pow.f64 (log.f64 y) 2))) -1/9)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9)) (*.f64 x x))))
(-.f64 (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (log.f64 y))) x (.f64 x (.f64 x (fma.f64 (cbrt.f64 z) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/18) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (pow.f64 (log.f64 y) 2)))) (.f64 -1/9 (cbrt.f64 -1))) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))))) z)
(-.f64 (.f64 x (+.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18)) (log.f64 y)) (cbrt.f64 (.f64 -1 (cbrt.f64 -1)))) (.f64 x (fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 -1) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (.f64 (pow.f64 (log.f64 y) 2) -1/9))) (.f64 1/9 (.f64 (pow.f64 (log.f64 y) 2) (.f64 (*.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))))) z)
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(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (fma.f64 1/27 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (.f64 z z)))) (.f64 -2/9 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (.f64 z z))))))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (log.f64 y) x))) (fma.f64 (cbrt.f64 z) (cbrt.f64 -1) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18)) (.f64 (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))))))
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(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (.f64 (pow.f64 (log.f64 y) 3) -5/27) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (/.f64 1 (.f64 z z))))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (.f64 (log.f64 y) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 z)))))
(pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z) 1/3)
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) z)))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (.f64 -1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)))))
(fma.f64 (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)) z (cbrt.f64 (*.f64 (log.f64 y) x)))
(fma.f64 -1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18))) (cbrt.f64 (*.f64 (log.f64 y) x)))
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/9) (pow.f64 z 2))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) z))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18))) (.f64 -1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18))))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (fma.f64 -1/9 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18)))) (.f64 z (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18)))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (.f64 z (+.f64 (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)) (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18))) z))))
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))) (pow.f64 z 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/9) (pow.f64 z 2))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) z)))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 2/9 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))))) (pow.f64 z 3))) (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18))) (.f64 -1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)))))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) 5/27) (pow.f64 z 3))) (fma.f64 -1/9 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18)))) (.f64 z (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18))))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) 5/27) (pow.f64 z 3))) (.f64 z (+.f64 (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)) (.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18))) z)))))

eval665.0ms (6.8%)

Compiler: Compiled 16594 to 7150 computations (56.9% saved)

prune123.0ms (1.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	478	10	488
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	480	12	492

Error

0.0b

Counts

492 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	36.5b	(-.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 2))) 3) y)
	36.2b	(-.f64 (fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (log.f64 y)) z) y)
✓	17.7b	(-.f64 (neg.f64 z) y)
▶	36.2b	(-.f64 (fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) z) y)
▶	43.5b	(-.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z))))) y)
▶	22.8b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)
▶	41.5b	(-.f64 (fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z) y)
	45.7b	(-.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (.f64 x (log.f64 y)) 2) x) (log.f64 y) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (.f64 x (log.f64 y)) (neg.f64 z))))) y)
	23.2b	(-.f64 (pow.f64 (/.f64 1 (fma.f64 x (log.f64 y) z)) -1) y)
▶	22.5b	(-.f64 (*.f64 (log.f64 y) x) y)
	30.8b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (log.f64 y)) z) 2))) 3) (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))) y)

Compiler

Compiled 412 to 252 computations (38.8% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (log.f64 y) x) y)
✓	0.2b	(*.f64 (log.f64 y) x)

Compiler

Compiled 17 to 6 computations (64.7% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`pow1_binary64`
647×	`add-log-exp_binary64`
647×	`log1p-expm1-u_binary64`
647×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	128	15
2	1749	15

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify181.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1135×	`fma-neg_binary64`
567×	`fma-def_binary64`
408×	`associate--r-_binary64`
386×	`associate--r+_binary64`
370×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	281
1	48	281
2	95	237
3	221	237
4	495	237
5	1150	237
6	3224	237
7	3906	237
8	4042	237
9	4059	237
10	4069	237
11	4071	237
12	6927	237
13	7623	237
14	7801	237
15	7859	237
16	7871	237
17	7875	237
18	7951	237

Stop Event

1×	node limit

Counts

80 → 57

Calls

Call 1

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

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

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)
	0.2b	(*.f64 (log.f64 y) x)
✓	0.6b	(cbrt.f64 (*.f64 (log.f64 y) x))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)

Compiler

Compiled 33 to 12 computations (63.6% saved)

series15.0ms (0.2%)

Counts

3 → 39

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

867×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	196	23
2	2271	23

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

Outputs

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

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

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

simplify161.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1145×	`fma-neg_binary64`
660×	`fma-def_binary64`
418×	`unswap-sqr_binary64`
402×	`associate--r-_binary64`
338×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	373
1	92	298
2	197	298
3	409	298
4	804	298
5	1640	298
6	4067	298
7	5407	298
8	5590	298
9	5773	298
10	6001	298
11	6338	298

Stop Event

1×	node limit

Counts

129 → 102

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
✓	0.2b	(*.f64 (log.f64 y) (sqrt.f64 x))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series11.0ms (0.1%)

Counts

2 → 33

Calls

15 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
652×	`add-log-exp_binary64`
652×	`log1p-expm1-u_binary64`
652×	`expm1-log1p-u_binary64`
635×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	155	17
2	1809	17

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(*.f64 (log.f64 y) (sqrt.f64 x))
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)

Outputs

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

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

simplify226.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1037×	`associate-+l+_binary64`
818×	`associate-+r+_binary64`
619×	`fma-def_binary64`
606×	`unsub-neg_binary64`
558×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	252
1	52	252
2	107	220
3	251	220
4	514	220
5	1331	220
6	3571	220
7	4323	220
8	4679	220
9	4843	220
10	4898	220
11	4909	220
12	5471	220
13	6087	220
14	6183	220
15	6255	220
16	6303	220
17	6303	220
18	6383	220
19	6391	220

Stop Event

1×	node limit

Counts

67 → 43

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) z)
✓	0.4b	(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
✓	0.6b	(cbrt.f64 x)
✓	29.6b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 48 to 10 computations (79.2% saved)

series184.0ms (1.9%)

Counts

4 → 39

Calls

21 calls:

Time	Variable		Point	Expression
169.0ms	x	@	0	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) z)
2.0ms	y	@	0	(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
2.0ms	y	@	0	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) z)
2.0ms	z	@	0	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) z)
1.0ms	x	@	-inf	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) z)

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`pow1_binary64`
760×	`add-log-exp_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
738×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	191	29
2	2160	29

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 x x))
(cbrt.f64 x)
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) z)

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

simplify170.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
697×	`fma-neg_binary64`
381×	`unsub-neg_binary64`
333×	`distribute-rgt-in_binary64`
292×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	398
1	96	290
2	233	290
3	637	290
4	1781	290
5	4363	290
6	7939	290

Stop Event

1×	node limit

Counts

116 → 88

Calls

Call 1

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

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

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (log.f64 y) 3)
	2.0b	(+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (.f64 x (log.f64 y)) (neg.f64 z))))
	4.0b	(-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))
✓	29.1b	(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))

Compiler

Compiled 142 to 44 computations (69% saved)

series15.0ms (0.2%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))
2.0ms	z	@	0	(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))
2.0ms	y	@	-inf	(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))
2.0ms	y	@	inf	(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))
1.0ms	x	@	0	(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z)))))

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

456×	`fma-neg_binary64`
304×	`expm1-udef_binary64`
304×	`log1p-udef_binary64`
206×	`add-sqr-sqrt_binary64`
202×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	431	38
2	6186	38

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Rules

710×	`associate-/l*_binary64`
691×	`fma-def_binary64`
514×	`associate-/r*_binary64`
277×	`associate-+l+_binary64`
222×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1717
1	448	1396
2	1957	1237

Stop Event

1×	node limit

Counts

110 → 95

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (.f64 -1 (.f64 z (*.f64 (log.f64 y) x)))))
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (.f64 -1 (.f64 z (*.f64 (log.f64 y) x)))))
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (.f64 -1 (.f64 z (*.f64 (log.f64 y) x)))))
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (.f64 -1 (.f64 z (*.f64 (log.f64 y) x)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))) (.f64 (log.f64 (/.f64 1 y)) (*.f64 z x)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))) (.f64 (log.f64 (/.f64 1 y)) (*.f64 z x)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))) (.f64 (log.f64 (/.f64 1 y)) (*.f64 z x)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))) (.f64 (log.f64 (/.f64 1 y)) (*.f64 z x)))))
(/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (.f64 z x)))))
(/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (.f64 z x)))))
(/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (.f64 z x)))))
(/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (.f64 z x)))))
(/.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2))
(+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 y) 5) (pow.f64 z 4)) (.f64 -1 (/.f64 (pow.f64 (log.f64 y) 5) (pow.f64 z 4)))) (pow.f64 x 5))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 y) 5) (pow.f64 z 4)) (.f64 -1 (/.f64 (pow.f64 (log.f64 y) 5) (pow.f64 z 4)))) (pow.f64 x 5))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 y) 5) (pow.f64 z 4)) (.f64 -1 (/.f64 (pow.f64 (log.f64 y) 5) (pow.f64 z 4)))) (log.f64 y)) z)) (.f64 -1 (/.f64 (pow.f64 (log.f64 y) 6) (pow.f64 z 5)))) (pow.f64 x 6))))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 z) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (log.f64 y))) (/.f64 (pow.f64 z 2) (log.f64 y))) x)) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (log.f64 y))) (/.f64 (pow.f64 z 2) (log.f64 y))) x)) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (log.f64 y))) (/.f64 (pow.f64 z 2) (log.f64 y))) z) (log.f64 y))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 (log.f64 y) 2)))) (pow.f64 x 2))))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 z) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (log.f64 y))) (/.f64 (pow.f64 z 2) (log.f64 y))) x)) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (log.f64 y))) (/.f64 (pow.f64 z 2) (log.f64 y))) x)) (+.f64 (.f64 (log.f64 y) x) (+.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (log.f64 y))) (/.f64 (pow.f64 z 2) (log.f64 y))) z) (.f64 (log.f64 y) (pow.f64 x 2)))))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 z) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 (log.f64 y) x) (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 4) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 (log.f64 y) x) (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))))
(/.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2))
(+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (.f64 (log.f64 y) x))) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 6) (pow.f64 x 6)))) (pow.f64 z 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3))))))
(/.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2))
(+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (.f64 (log.f64 y) x)) (pow.f64 z 5)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 6) (pow.f64 x 6)) (pow.f64 z 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3)))))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3)

Outputs
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (.f64 -1 (.f64 z (*.f64 (log.f64 y) x)))))
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (.f64 (neg.f64 z) (.f64 (log.f64 y) x)))))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 z z (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (.f64 (log.f64 y) (*.f64 x z)))) (pow.f64 (log.f64 y) 3)))
(.f64 (/.f64 (pow.f64 (log.f64 y) 3) (fma.f64 z z (.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 (log.f64 y) x) z)))) (pow.f64 x 3))
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (.f64 -1 (.f64 z (*.f64 (log.f64 y) x)))))
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (.f64 (neg.f64 z) (.f64 (log.f64 y) x)))))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 z z (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (.f64 (log.f64 y) (*.f64 x z)))) (pow.f64 (log.f64 y) 3)))
(.f64 (/.f64 (pow.f64 (log.f64 y) 3) (fma.f64 z z (.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 (log.f64 y) x) z)))) (pow.f64 x 3))
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (.f64 -1 (.f64 z (*.f64 (log.f64 y) x)))))
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (.f64 (neg.f64 z) (.f64 (log.f64 y) x)))))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 z z (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (.f64 (log.f64 y) (*.f64 x z)))) (pow.f64 (log.f64 y) 3)))
(.f64 (/.f64 (pow.f64 (log.f64 y) 3) (fma.f64 z z (.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 (log.f64 y) x) z)))) (pow.f64 x 3))
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (.f64 -1 (.f64 z (*.f64 (log.f64 y) x)))))
(/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (.f64 z z) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (.f64 (neg.f64 z) (.f64 (log.f64 y) x)))))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 z z (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (.f64 (log.f64 y) (*.f64 x z)))) (pow.f64 (log.f64 y) 3)))
(.f64 (/.f64 (pow.f64 (log.f64 y) 3) (fma.f64 z z (.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 (log.f64 y) x) z)))) (pow.f64 x 3))
(.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)) (-.f64 (+.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))) (.f64 (log.f64 (/.f64 1 y)) (*.f64 z x)))))
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(*.f64 (/.f64 (pow.f64 (log.f64 y) 3) z) (/.f64 (pow.f64 x 3) z))
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(+.f64 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (*.f64 z z) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (log.f64 y) 4) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))
(-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 z z)) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4)))
(-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) z) (/.f64 (pow.f64 x 3) z)) (.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3)))))
(+.f64 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (*.f64 z z) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (log.f64 y) 4) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))
(-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 z z)) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4)))
(-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) z) (/.f64 (pow.f64 x 3) z)) (.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (.f64 (log.f64 y) x))) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 6) (pow.f64 x 6)))) (pow.f64 z 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3))))))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (log.f64 y) 5) (pow.f64 z 4))) (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (.f64 z z) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (pow.f64 (log.f64 y) 4) (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 (log.f64 y) 5) (pow.f64 z 4))) (/.f64 z (log.f64 y))) (neg.f64 (/.f64 (pow.f64 (log.f64 y) 6) (pow.f64 z 5)))) (pow.f64 x 6))))))
(fma.f64 0 (pow.f64 x 5) (-.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 z z)) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4))) (.f64 (-.f64 (*.f64 (/.f64 0 z) (log.f64 y)) (/.f64 (pow.f64 (log.f64 y) 6) (pow.f64 z 5))) (pow.f64 x 6))))
(fma.f64 (pow.f64 x 6) (/.f64 (pow.f64 (log.f64 y) 6) (pow.f64 z 5)) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) z) (/.f64 (pow.f64 x 3) z)) (.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4))))
(/.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2))
(/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (*.f64 z z) (pow.f64 x 3)))
(.f64 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 z z)) (pow.f64 x 3))
(*.f64 (/.f64 (pow.f64 (log.f64 y) 3) z) (/.f64 (pow.f64 x 3) z))
(+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3))))
(+.f64 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (*.f64 z z) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (log.f64 y) 4) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))
(-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 z z)) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4)))
(-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) z) (/.f64 (pow.f64 x 3) z)) (.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3)))))
(+.f64 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (*.f64 z z) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (log.f64 y) 4) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))
(-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 z z)) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4)))
(-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) z) (/.f64 (pow.f64 x 3) z)) (.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (.f64 (log.f64 y) x)) (pow.f64 z 5)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 6) (pow.f64 x 6)) (pow.f64 z 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (pow.f64 z 3)))))))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (log.f64 y) 5) (pow.f64 z 4))) (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (.f64 z z) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (pow.f64 (log.f64 y) 4) (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 (log.f64 y) 5) (pow.f64 z 4))) (/.f64 z (log.f64 y))) (neg.f64 (/.f64 (pow.f64 (log.f64 y) 6) (pow.f64 z 5)))) (pow.f64 x 6))))))
(fma.f64 0 (pow.f64 x 5) (-.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 z z)) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4))) (.f64 (-.f64 (*.f64 (/.f64 0 z) (log.f64 y)) (/.f64 (pow.f64 (log.f64 y) 6) (pow.f64 z 5))) (pow.f64 x 6))))
(fma.f64 (pow.f64 x 6) (/.f64 (pow.f64 (log.f64 y) 6) (pow.f64 z 5)) (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 3) z) (/.f64 (pow.f64 x 3) z)) (.f64 (/.f64 (pow.f64 (log.f64 y) 4) (pow.f64 z 3)) (pow.f64 x 4))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3))
(pow.f64 (log.f64 y) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3))
(pow.f64 (log.f64 y) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3))
(pow.f64 (log.f64 y) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3))
(pow.f64 (log.f64 y) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 3)

eval584.0ms (6%)

Compiler: Compiled 13614 to 5379 computations (60.5% saved)

prune135.0ms (1.4%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	561	9	570
Fresh	3	2	5
Picked	1	0	1
Done	2	4	6
Total	567	15	582

Error

Counts

582 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	41.1b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
✓	22.8b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)
▶	45.3b	(*.f64 (log.f64 y) x)
	40.2b	(-.f64 z y)
✓	22.5b	(-.f64 (*.f64 (log.f64 y) x) y)
	30.8b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (log.f64 y)) z) 2))) 3) (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))) y)
	22.9b	(-.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x)) 3) y)
▶	22.8b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) y)
	47.2b	(-.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) y)
▶	22.9b	(-.f64 (.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) y)
✓	17.7b	(-.f64 (neg.f64 z) y)
▶	23.2b	(-.f64 (pow.f64 (/.f64 1 (fma.f64 x (log.f64 y) z)) -1) y)
▶	39.8b	(neg.f64 y)
	42.0b	(-.f64 (fma.f64 (.f64 (log.f64 y) (.f64 (sqrt.f64 x) (pow.f64 x 1/6))) (cbrt.f64 x) z) y)

Compiler

Compiled 345 to 233 computations (32.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cbrt.f64 x) (log.f64 y))
✓	0.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y)))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)

Compiler

Compiled 41 to 16 computations (61% saved)

series13.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

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

rewrite151.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
667×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	179	20
2	1969	20

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y)))
(*.f64 (cbrt.f64 x) (log.f64 y))

Outputs

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

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

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

simplify114.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
537×	`unsub-neg_binary64`
527×	`fma-def_binary64`
347×	`distribute-rgt-out--_binary64`
321×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	240
1	63	240
2	164	240
3	437	240
4	1262	240
5	3209	240
6	5881	240
7	7619	240

Stop Event

1×	node limit

Counts

79 → 50

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (log.f64 y) z)
✓	0.1b	(/.f64 1 (fma.f64 x (log.f64 y) z))
✓	0.2b	(pow.f64 (/.f64 1 (fma.f64 x (log.f64 y) z)) -1)

Compiler

Compiled 42 to 18 computations (57.1% saved)

series57.0ms (0.6%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
40.0ms	x	@	inf	(pow.f64 (/.f64 1 (fma.f64 x (log.f64 y) z)) -1)
2.0ms	z	@	0	(pow.f64 (/.f64 1 (fma.f64 x (log.f64 y) z)) -1)
1.0ms	y	@	-inf	(pow.f64 (/.f64 1 (fma.f64 x (log.f64 y) z)) -1)
1.0ms	y	@	inf	(pow.f64 (/.f64 1 (fma.f64 x (log.f64 y) z)) -1)
1.0ms	y	@	0	(pow.f64 (/.f64 1 (fma.f64 x (log.f64 y) z)) -1)

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`pow1_binary64`
703×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
686×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	195	24
2	2178	24

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

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

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

769×	`times-frac_binary64`
700×	`fma-def_binary64`
442×	`associate-/l*_binary64`
397×	`associate-l_binary64`
352×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1509
1	460	1473
2	1782	1428

Stop Event

1×	node limit

Counts

191 → 91

Calls

Call 1

Inputs
z
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 y) 2) z) (.f64 -1 (/.f64 (pow.f64 (log.f64 y) 2) z))) (pow.f64 x 2))) z))
(+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 y) 2) z) (.f64 -1 (/.f64 (pow.f64 (log.f64 y) 2) z))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 z 2))) (+.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 z 2)) (/.f64 (.f64 (log.f64 y) (+.f64 (/.f64 (pow.f64 (log.f64 y) 2) z) (*.f64 -1 (/.f64 (pow.f64 (log.f64 y) 2) z)))) z))) (pow.f64 x 3))) z)))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (log.f64 y))) (/.f64 (pow.f64 z 2) (log.f64 y))) x)) (+.f64 (*.f64 (log.f64 y) x) z))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (log.f64 y))) (/.f64 (pow.f64 z 2) (log.f64 y))) x)) (+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 (log.f64 y) 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 (log.f64 y) 2))) (/.f64 (.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (log.f64 y))) (/.f64 (pow.f64 z 2) (log.f64 y))) z) (log.f64 y)))) (pow.f64 x 2))) z)))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (.f64 (log.f64 y) x) (+.f64 z (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (.f64 (log.f64 y) x))) (/.f64 (pow.f64 z 2) (.f64 (log.f64 y) x)))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 (log.f64 y) 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (log.f64 y))) (/.f64 (pow.f64 z 2) (log.f64 y))) z) (log.f64 y))) (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 (log.f64 y) 2))))) (pow.f64 x 2))) (+.f64 z (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (.f64 (log.f64 y) x))) (/.f64 (pow.f64 z 2) (*.f64 (log.f64 y) x))))))
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
z
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) z)) z))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (log.f64 y) (.f64 x (+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 z 2))) (+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) z)) z)))
z
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) z)) (+.f64 (.f64 (log.f64 y) x) (+.f64 z (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) z)) (+.f64 (.f64 (log.f64 y) x) (+.f64 z (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (log.f64 y) (.f64 (+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) x))) (+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 z 2))) (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) z)))))
(/.f64 1 z)
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 z 2))) (/.f64 1 z))
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 z 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 1 z)))
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 1 z))))
(/.f64 1 (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (/.f64 z (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (/.f64 z (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 z (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))
(/.f64 1 (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (/.f64 z (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (/.f64 z (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 z (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))
(/.f64 1 (+.f64 (*.f64 (log.f64 y) x) z))
(/.f64 1 (+.f64 (*.f64 (log.f64 y) x) z))
(/.f64 1 (+.f64 (*.f64 (log.f64 y) x) z))
(/.f64 1 (+.f64 (*.f64 (log.f64 y) x) z))
(/.f64 1 (+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))))
(/.f64 1 (+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))))
(/.f64 1 (+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))))
(/.f64 1 (+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))))
(/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(/.f64 1 (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (/.f64 z (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (/.f64 z (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 z (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 (pow.f64 z 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))
(/.f64 1 z)
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 z 2))) (/.f64 1 z))
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 z 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 1 z)))
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 1 z))))
(/.f64 1 z)
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 z 2))) (/.f64 1 z))
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 z 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 1 z)))
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 z 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 3)) (/.f64 1 z))))
z
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
z
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
z
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.4b	(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))
	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)

Compiler

Compiled 43 to 20 computations (53.5% saved)

series22.0ms (0.2%)

Counts

2 → 36

Calls

12 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`pow1_binary64`
680×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
680×	`expm1-log1p-u_binary64`
664×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	179	17
2	1966	17

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))

Outputs

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

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

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-neg_binary64`
558×	`fma-def_binary64`
539×	`unsub-neg_binary64`
331×	`distribute-rgt-in_binary64`
286×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	276
1	67	276
2	156	276
3	441	276
4	1448	276
5	3866	276
6	7100	276

Stop Event

1×	node limit

Counts

62 → 34

Calls

Call 1

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

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

eval183.0ms (1.9%)

Compiler: Compiled 4600 to 2254 computations (51% saved)

prune160.0ms (1.6%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	282	7	289
Fresh	3	3	6
Picked	1	0	1
Done	2	6	8
Total	288	16	304

Error

Counts

304 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	41.1b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	35.6b	(-.f64 (.f64 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) y)
	22.6b	(-.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) -1) y)
	40.2b	(-.f64 z y)
	35.6b	(-.f64 (.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) y)
✓	22.5b	(-.f64 (*.f64 (log.f64 y) x) y)
	39.9b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 x) (log.f64 y)) 3) (*.f64 x x))) y)
	22.9b	(-.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x)) 3) y)
✓	22.8b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) y)
	42.7b	(-.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) z) -1/2) 2) -1) y)
✓	17.7b	(-.f64 (neg.f64 z) y)
✓	45.3b	(*.f64 (log.f64 y) x)
	45.6b	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
✓	39.8b	(neg.f64 y)
	41.7b	(-.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 x 1/6)) (*.f64 (cbrt.f64 x) (log.f64 y))) y)

Compiler

Compiled 189 to 133 computations (29.6% saved)

regimes208.0ms (2.1%)

Counts

30 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 z y)
(-.f64 (neg.f64 z) y)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) y)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) -1) y)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)
(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y)
(-.f64 (pow.f64 (/.f64 1 (fma.f64 x (log.f64 y) z)) -1) y)
(-.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3) y)
(-.f64 (.f64 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) y)
(-.f64 (.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) y)
(-.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x)) 3) y)
(-.f64 (fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z) y)
(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) y)
(-.f64 (.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) y)
(-.f64 (fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (log.f64 y)) z) y)
(-.f64 (fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) z) y)
(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 x) (log.f64 y)) 3) (*.f64 x x))) y)
(-.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 x 1/6)) (*.f64 (cbrt.f64 x) (log.f64 y))) y)
(-.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) z) -1/2) 2) -1) y)
(-.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) 2))) 3) y)
(-.f64 (fma.f64 (.f64 (log.f64 y) (.f64 (sqrt.f64 x) (pow.f64 x 1/6))) (cbrt.f64 x) z) y)
(-.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) y)
(-.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z))))) y)
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 x (log.f64 y)) (neg.f64 z))))) y)
(-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (log.f64 y)) z) 2))) 3) (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))) y)
(-.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (.f64 x (log.f64 y)) 2) x) (log.f64 y) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (.f64 x (log.f64 y)) (neg.f64 z))))) y)

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

Calls

4 calls:

75.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
48.0ms	y
29.0ms	x
27.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)`

Compiler

Compiled 419 to 165 computations (60.6% saved)

regimes136.0ms (1.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	z
45.0ms	x
42.0ms	y

Results

Error	Segments	Branch
6.6b	3	`x`
13.7b	5	`y`
7.0b	3	`z`

Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch108.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	7.998429987993812e+71	1.4984517381208929e+72
66.0ms	-6.4548642341561825e+59	-9.928248526833407e+45

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes88.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	x
25.0ms	y
9.0ms	z

Results

Error	Segments	Branch
9.1b	3	`x`
16.3b	3	`y`
17.7b	1	`z`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch82.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	9.577629836348241e+102	2.033883332689659e+108
41.0ms	-1.8201800478402243e+186	-1.0430631811433704e+178

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes26.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 z y)
(-.f64 (neg.f64 z) y)

Outputs
(-.f64 (neg.f64 z) y)

Calls

3 calls:

9.0ms	y
8.0ms	z
8.0ms	x

Results

Error	Segments	Branch
17.7b	1	`x`
17.7b	1	`y`
17.7b	1	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes47.0ms (0.5%)

Accuracy

Total -0.6b remaining (-1.4%)

Threshold costs -0.6b (-1.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 z y)

Outputs
(neg.f64 y)

Calls

3 calls:

31.0ms	y
7.0ms	z
7.0ms	x

Results

Error	Segments	Branch
39.8b	1	`x`
39.8b	1	`y`
39.8b	1	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	87
1	38	87
2	48	87
3	55	87
4	57	87
5	58	87

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(if (<=.f64 x -645486423415618252347634473759698161064654295218812557983744) (-.f64 (.f64 (log.f64 y) x) y) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) (-.f64 (neg.f64 z) y) (-.f64 (.f64 (log.f64 y) x) y)))
(if (<=.f64 x -1820180047840224280752290628446738556721853269781912479974395969916217198401829816617984443685367502903207936344382737632527706769392185509767834784889011915042535443639650837554182225920) (.f64 (log.f64 y) x) (if (<=.f64 x 9577629836348241299755293144871842954350583465871177369503900245048705164495364741211602752751615868928) (-.f64 (neg.f64 z) y) (.f64 (log.f64 y) x)))
(-.f64 (neg.f64 z) y)
(neg.f64 y)

Outputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(if (<=.f64 x -645486423415618252347634473759698161064654295218812557983744) (-.f64 (.f64 (log.f64 y) x) y) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) (-.f64 (neg.f64 z) y) (-.f64 (.f64 (log.f64 y) x) y)))
(if (<=.f64 x -645486423415618252347634473759698161064654295218812557983744) (-.f64 (.f64 x (log.f64 y)) y) (if (<=.f64 x 799842998799381225590451137832968703956784466788414404936560155903918080) (-.f64 (neg.f64 z) y) (-.f64 (.f64 x (log.f64 y)) y)))
(if (<=.f64 x -1820180047840224280752290628446738556721853269781912479974395969916217198401829816617984443685367502903207936344382737632527706769392185509767834784889011915042535443639650837554182225920) (.f64 (log.f64 y) x) (if (<=.f64 x 9577629836348241299755293144871842954350583465871177369503900245048705164495364741211602752751615868928) (-.f64 (neg.f64 z) y) (.f64 (log.f64 y) x)))
(if (<=.f64 x -1820180047840224280752290628446738556721853269781912479974395969916217198401829816617984443685367502903207936344382737632527706769392185509767834784889011915042535443639650837554182225920) (.f64 x (log.f64 y)) (if (<=.f64 x 9577629836348241299755293144871842954350583465871177369503900245048705164495364741211602752751615868928) (-.f64 (neg.f64 z) y) (.f64 x (log.f64 y))))
(-.f64 (neg.f64 z) y)
(neg.f64 y)

Compiler

Compiled 73 to 43 computations (41.1% saved)

soundness0.0ms (0%)

end99.0ms (1%)

Compiler: Compiled 61 to 23 computations (62.3% saved)

Details

analyze259.0ms (2.7%)

sample2.7s (27.3%)

preprocess215.0ms (2.2%)

simplify198.0ms (2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series146.0ms (1.5%)

rewrite65.0ms (0.7%)

simplify163.0ms (1.7%)

eval120.0ms (1.2%)

prune14.0ms (0.1%)

localize10.0ms (0.1%)

localize85.0ms (0.9%)

series80.0ms (0.8%)

rewrite209.0ms (2.1%)

simplify147.0ms (1.5%)

localize22.0ms (0.2%)

series53.0ms (0.5%)

rewrite103.0ms (1.1%)

simplify149.0ms (1.5%)

eval665.0ms (6.8%)

prune123.0ms (1.3%)

localize13.0ms (0.1%)

series4.0ms (0%)

rewrite73.0ms (0.7%)

simplify181.0ms (1.9%)

localize36.0ms (0.4%)

series15.0ms (0.2%)

rewrite103.0ms (1.1%)

simplify161.0ms (1.6%)

localize13.0ms (0.1%)

series11.0ms (0.1%)

rewrite53.0ms (0.5%)

simplify226.0ms (2.3%)

localize31.0ms (0.3%)

series184.0ms (1.9%)

rewrite92.0ms (0.9%)

simplify170.0ms (1.7%)

localize61.0ms (0.6%)

series15.0ms (0.2%)

rewrite77.0ms (0.8%)

simplify94.0ms (1%)

eval584.0ms (6%)

prune135.0ms (1.4%)

localize17.0ms (0.2%)

series13.0ms (0.1%)

rewrite151.0ms (1.5%)

simplify114.0ms (1.2%)

localize3.0ms (0%)

localize10.0ms (0.1%)

localize16.0ms (0.2%)

series57.0ms (0.6%)

rewrite93.0ms (0.9%)

simplify93.0ms (0.9%)

localize27.0ms (0.3%)

series22.0ms (0.2%)

rewrite73.0ms (0.7%)

simplify93.0ms (0.9%)

eval183.0ms (1.9%)

prune160.0ms (1.6%)

regimes208.0ms (2.1%)

regimes136.0ms (1.4%)

bsearch108.0ms (1.1%)

regimes88.0ms (0.9%)

bsearch82.0ms (0.8%)

regimes26.0ms (0.3%)

regimes47.0ms (0.5%)

simplify12.0ms (0.1%)

soundness0.0ms (0%)

end99.0ms (1%)

Profiling