Details

analyze147.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
6.2%	49.9%	43.8%	7
9.4%	43.7%	47%	8
14%	37.4%	48.5%	9
21.1%	30.4%	48.5%	10
24.6%	26.1%	49.3%	11
28.7%	21.6%	49.7%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.2s (27.2%)

Results

2.2s	8253×	body	256	valid
12.0ms	101×	body	256	invalid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

preprocess216.0ms (2.6%)

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)

simplify183.0ms (2.2%)

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

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series196.0ms (2.4%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
98.0ms	x	@	0	(*.f64 x (log.f64 y))
33.0ms	y	@	0	(*.f64 x (log.f64 y))
30.0ms	y	@	-inf	(*.f64 x (log.f64 y))
14.0ms	x	@	inf	(*.f64 x (log.f64 y))
12.0ms	y	@	inf	(*.f64 x (log.f64 y))

rewrite230.0ms (2.8%)

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))))))

simplify183.0ms (2.2%)

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)

eval12.0ms (0.1%)

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

prune26.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	8	58

Error

0.0b

Counts

58 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))) y)
▶	30.0b	(-.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2) y)
▶	20.9b	(-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z) y)
▶	0.9b	(-.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3) y)
▶	19.9b	(-.f64 (neg.f64 z) y)
	41.9b	(-.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)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
▶	0.1b	(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)

Compiler

Compiled 249 to 151 computations (39.4% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`pow1_binary64`
520×	`add-log-exp_binary64`
519×	`log1p-expm1-u_binary64`
519×	`expm1-log1p-u_binary64`
508×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	138	7
2	1665	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

739×	`distribute-rgt-in_binary64`
680×	`unsub-neg_binary64`
609×	`distribute-lft-in_binary64`
524×	`associate--l-_binary64`
482×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	297
1	50	297
2	88	297
3	219	297
4	493	297
5	1150	297
6	3204	297
7	3832	297
8	4080	297
9	4143	297
10	4173	297
11	4175	297
12	5117	297
13	7197	297
14	7786	297

Stop Event

1×	node limit

Counts

59 → 30

Calls

Call 1

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

localize16.0ms (0.2%)

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

localize146.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z)
✓	0.2b	(pow.f64 (*.f64 x (log.f64 y)) 3)
	0.2b	(*.f64 x (log.f64 y))
✓	41.3b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))

Compiler

Compiled 46 to 20 computations (56.5% saved)

series12.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite84.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`pow1_binary64`
892×	`add-log-exp_binary64`
892×	`log1p-expm1-u_binary64`
892×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	216	24
2	2501	24

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

435×	`distribute-rgt-neg-in_binary64`
398×	`associate-+l+_binary64`
355×	`unswap-sqr_binary64`
354×	`distribute-rgt-in_binary64`
340×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	788
1	105	785
2	327	779
3	1407	779
4	4210	779

Stop Event

1×	node limit

Counts

178 → 108

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

localize16.0ms (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))
✓	0.5b	(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)

series123.0ms (1.5%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
74.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
20.0ms	x	@	0	(cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))
5.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
5.0ms	z	@	inf	(cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)

rewrite69.0ms (0.8%)

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 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*.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 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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 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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))))))))

simplify257.0ms (3.1%)

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
✓	0.0b	(sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))
	0.2b	(*.f64 x (log.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)

Compiler

Compiled 46 to 13 computations (71.7% saved)

series21.0ms (0.3%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)
2.0ms	z	@	0	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
863×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
843×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	212	20
2	2396	20

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

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

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

491×	`associate-r_binary64`
471×	`fma-def_binary64`
449×	`associate-l_binary64`
444×	`times-frac_binary64`
396×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	984
1	396	860
2	1408	798
3	7596	798

Stop Event

1×	node limit

Counts

103 → 96

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) z)
(+.f64 (.f64 (log.f64 y) x) (.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) z))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) z)))) (pow.f64 x 2)) (+.f64 (.f64 (log.f64 y) x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) z)))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) z))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) z)))) (pow.f64 x 2)) (+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 z 2)))) (.f64 1/8 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 z 2))))) (pow.f64 x 3)) (.f64 (pow.f64 (sqrt.f64 -1) 2) 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 -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 (.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2))))) (pow.f64 z 4)) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2))))) (pow.f64 z 4)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)) (.f64 (log.f64 y) x))))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)) (.f64 (log.f64 y) x))))) (pow.f64 z 5)) (.f64 (log.f64 y) x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 z))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 z)) (.f64 1/2 (.f64 (/.f64 (.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 z)))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 z)) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))) (.f64 1/2 (.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 z))))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 z 5))))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 z)) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))) (.f64 1/2 (.f64 (/.f64 (.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 z)))))))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z))
(sqrt.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z))
(sqrt.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z))
(sqrt.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z))
(sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(sqrt.f64 (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x))))) (sqrt.f64 (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x))))) (+.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))))) (+.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x))))) (+.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) z)
(neg.f64 z)
(+.f64 (.f64 (log.f64 y) x) (.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(fma.f64 (log.f64 y) x (*.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(-.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) z))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) z)))) (pow.f64 x 2)) (+.f64 (.f64 (log.f64 y) x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) z)))
(fma.f64 (log.f64 y) x (*.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(-.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) z))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) z)))) (pow.f64 x 2)) (+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 z 2)))) (.f64 1/8 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 z 2))))) (pow.f64 x 3)) (.f64 (pow.f64 (sqrt.f64 -1) 2) z))))
(fma.f64 (log.f64 y) x (*.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(-.f64 (*.f64 (log.f64 y) x) z)
(-.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x (*.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(-.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x (*.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(-.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x (*.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(-.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x (*.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z)
(fma.f64 (log.f64 y) x (*.f64 (pow.f64 (sqrt.f64 -1) 2) 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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) 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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) 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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) 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 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (neg.f64 z))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 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 (neg.f64 z))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 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 (neg.f64 z))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 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 (neg.f64 z))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 z))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 z) (.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 (pow.f64 (sqrt.f64 -1) 2) z))
(-.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2))))) (pow.f64 z 4)) (.f64 (log.f64 y) x)))
(fma.f64 -1 z (fma.f64 (+.f64 (+.f64 (/.f64 1/64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (/.f64 1/16 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/16 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)))) (pow.f64 z 4) (.f64 (log.f64 y) x)))
(-.f64 (fma.f64 (log.f64 y) x (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (log.f64 y) 3)) 5/64) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 x 3)) (pow.f64 (log.f64 y) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (log.f64 y) 3)))) 2))) (pow.f64 z 4))) z)
(fma.f64 (log.f64 y) x (-.f64 (.f64 (-.f64 (/.f64 1/64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (/.f64 1/64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 z 4)) z))
(+.f64 (.f64 -1 z) (+.f64 (.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2))))) (pow.f64 z 4)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)) (.f64 (log.f64 y) x))))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)) (.f64 (log.f64 y) x))))) (pow.f64 z 5)) (.f64 (log.f64 y) x))))
(fma.f64 -1 z (fma.f64 (+.f64 (+.f64 (/.f64 1/64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (/.f64 1/16 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/16 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)))) (pow.f64 z 4) (.f64 (log.f64 y) x)))
(-.f64 (fma.f64 (log.f64 y) x (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (log.f64 y) 3)) 5/64) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 x 3)) (pow.f64 (log.f64 y) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (log.f64 y) 3)))) 2))) (pow.f64 z 4))) z)
(fma.f64 (log.f64 y) x (-.f64 (.f64 (-.f64 (/.f64 1/64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (/.f64 1/64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 z 4)) z))
(*.f64 (sqrt.f64 -1) (sqrt.f64 z))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 z)) (.f64 1/2 (.f64 (/.f64 (.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 z)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 z) (.f64 1/2 (.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 z)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 z) (.f64 (.f64 (/.f64 (log.f64 y) (sqrt.f64 -1)) x) (*.f64 (sqrt.f64 (/.f64 1 z)) 1/2)))
(fma.f64 1/2 (.f64 (/.f64 (log.f64 y) (sqrt.f64 -1)) (.f64 x (sqrt.f64 (/.f64 1 z)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 z)))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 z)) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))) (.f64 1/2 (.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 z))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 z) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (.f64 1/2 (.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 z))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 z) (fma.f64 -1/8 (.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 2) -1) (/.f64 (.f64 x x) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (.f64 (.f64 (/.f64 (log.f64 y) (sqrt.f64 -1)) x) (.f64 (sqrt.f64 (/.f64 1 z)) 1/2))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 1/8 (/.f64 (.f64 x x) (/.f64 (sqrt.f64 -1) (pow.f64 (log.f64 y) 2)))) (fma.f64 1/2 (.f64 (/.f64 (log.f64 y) (sqrt.f64 -1)) (.f64 x (sqrt.f64 (/.f64 1 z)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 z))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 z 5))))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 z)) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))) (.f64 1/2 (.f64 (/.f64 (.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 z)))))))
(fma.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 z 5)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 z) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (.f64 1/2 (.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 z)))))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (sqrt.f64 (/.f64 1 (pow.f64 z 5)))) (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 z) (fma.f64 -1/8 (.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 2) -1) (/.f64 (.f64 x x) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (.f64 (.f64 (/.f64 (log.f64 y) (sqrt.f64 -1)) x) (*.f64 (sqrt.f64 (/.f64 1 z)) 1/2)))))
(fma.f64 1/16 (.f64 (.f64 (pow.f64 x 3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (sqrt.f64 -1) 5))) (sqrt.f64 (/.f64 1 (pow.f64 z 5)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 1/8 (/.f64 (.f64 x x) (/.f64 (sqrt.f64 -1) (pow.f64 (log.f64 y) 2)))) (fma.f64 1/2 (.f64 (/.f64 (log.f64 y) (sqrt.f64 -1)) (.f64 x (sqrt.f64 (/.f64 1 z)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 z)))))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z))
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) z))
(sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(sqrt.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (neg.f64 z)))
(sqrt.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 z)))
(sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(sqrt.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (neg.f64 z)))
(sqrt.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 z)))
(sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(sqrt.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (neg.f64 z)))
(sqrt.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 z)))
(sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z))
(sqrt.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (neg.f64 z)))
(sqrt.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 z)))
(sqrt.f64 (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x))))) (sqrt.f64 (.f64 (log.f64 y) x)))
(fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x)))) (sqrt.f64 (*.f64 (log.f64 y) x)))
(fma.f64 z (.f64 -1/2 (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x)))) (sqrt.f64 (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x))))) (+.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))))
(+.f64 (fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x)))) (sqrt.f64 (.f64 (log.f64 y) x))) (.f64 (.f64 -1/8 (.f64 z z)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))
(fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x)))) (fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (log.f64 y) 3))))) (sqrt.f64 (*.f64 (log.f64 y) x))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (.f64 z (.f64 z -1/8)) (fma.f64 z (.f64 -1/2 (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x)))) (sqrt.f64 (.f64 (log.f64 y) x))))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))))) (+.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x))))) (+.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))))))
(fma.f64 -1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))))) (+.f64 (fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x)))) (sqrt.f64 (.f64 (log.f64 y) x))) (.f64 (.f64 -1/8 (.f64 z z)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))))
(fma.f64 -1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))))) (fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x)))) (fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (log.f64 y) 3))))) (sqrt.f64 (*.f64 (log.f64 y) x)))))
(fma.f64 (pow.f64 z 3) (.f64 -1/16 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))))) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (.f64 z (.f64 z -1/8)) (fma.f64 z (.f64 -1/2 (sqrt.f64 (/.f64 1 (.f64 (log.f64 y) x)))) (sqrt.f64 (.f64 (log.f64 y) x)))))

eval189.0ms (2.3%)

Compiler: Compiled 10133 to 5155 computations (49.1% saved)

prune116.0ms (1.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	460	9	469
Fresh	2	0	2
Picked	1	0	1
Done	1	4	5
Total	464	13	477

Error

0.0b

Counts

477 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) z) y)
✓	19.9b	(-.f64 (neg.f64 z) y)
✓	0.1b	(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
▶	42.4b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) y)
✓	20.9b	(-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) z) y)
	30.1b	(-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x (log.f64 y)) z)) (cbrt.f64 (-.f64 (.f64 x (log.f64 y)) z))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)))) y)
	30.1b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z) y)
▶	22.7b	(-.f64 (*.f64 (log.f64 y) x) y)
▶	34.3b	(-.f64 (-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) z) y)
▶	46.9b	(-.f64 (/.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)))) y)
	23.0b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)

Compiler

Compiled 371 to 215 computations (42% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 21 computations (62.5% saved)

series13.0ms (0.2%)

Counts

4 → 36

Calls

18 calls:

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

rewrite134.0ms (1.6%)

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	23
1	179	23
2	1969	23

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

Outputs
((#(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 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 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 (pow.f64 (cbrt.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 (cbrt.f64 x) 1)))) (#(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 (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 (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 (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))))))))
((#(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))))))))

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	240
1	63	240
2	164	240
3	441	240
4	1267	240
5	3218	240
6	5890	240
7	7634	240

Stop Event

1×	node limit

Counts

99 → 71

Calls

Call 1

Inputs
(.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)))
(*.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)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`pow1_binary64`
414×	`add-sqr-sqrt_binary64`
409×	`*-un-lft-identity_binary64`
397×	`add-log-exp_binary64`
397×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	95	6
2	1101	6

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify193.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3199×	`fma-neg_binary64`
757×	`fma-def_binary64`
388×	`associate--r-_binary64`
351×	`unsub-neg_binary64`
304×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	32	80
2	62	48
3	140	48
4	280	48
5	712	48
6	1977	48
7	3019	48
8	3650	48
9	3696	48
10	3714	48
11	3716	48
12	6134	48
13	6746	48
14	7012	48
15	7099	48
16	7113	48
17	7117	48
18	7251	48
19	7259	48

Stop Event

1×	node limit

Counts

22 → 17

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)

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 12 computations (63.6% saved)

series10.0ms (0.1%)

Counts

2 → 20

Calls

12 calls:

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

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`pow1_binary64`
540×	`add-log-exp_binary64`
540×	`log1p-expm1-u_binary64`
540×	`expm1-log1p-u_binary64`
527×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	161	14
2	1545	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

717×	`unswap-sqr_binary64`
337×	`unsub-neg_binary64`
317×	`fma-neg_binary64`
315×	`fma-def_binary64`
307×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	200
1	44	196
2	83	196
3	207	164
4	722	164
5	2808	164
6	5469	164
7	6741	164

Stop Event

1×	node limit

Counts

70 → 56

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 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.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 (sqrt.f64 -1) (sqrt.f64 (.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 (log.f64 (/.f64 1 y)) x)))
(sqrt.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(sqrt.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(sqrt.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(sqrt.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) z)
✓	0.1b	(sqrt.f64 (log.f64 y))
✓	0.1b	(*.f64 x (sqrt.f64 (log.f64 y)))
✓	0.1b	(.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series13.0ms (0.2%)

Counts

4 → 92

Calls

24 calls:

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

rewrite182.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`pow1_binary64`
890×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	188	28
2	2466	28

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

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

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

simplify286.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

827×	`distribute-rgt-in_binary64`
730×	`unsub-neg_binary64`
532×	`associate--l-_binary64`
511×	`sub-neg_binary64`
480×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	765
1	66	761
2	109	761
3	245	729
4	521	729
5	1140	729
6	3277	729
7	4114	729
8	4374	729
9	4468	729
10	4506	729
11	4512	729
12	5576	729
13	6787	729
14	7119	729
15	7419	729
16	7549	729
17	7553	729
18	7553	729
19	7553	729

Stop Event

1×	node limit

Counts

178 → 104

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

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(+.f64 (.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 y) x)) (-.f64 (.f64 z z) (.f64 (.f64 (log.f64 y) x) z)))
✓	1.8b	(+.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 z 3))
✓	3.9b	(-.f64 (.f64 z z) (.f64 (*.f64 (log.f64 y) x) z))
✓	44.5b	(/.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))))

Compiler

Compiled 144 to 33 computations (77.1% saved)

series33.0ms (0.4%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(/.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))))
3.0ms	z	@	inf	(/.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))))
3.0ms	z	@	-inf	(+.f64 (.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 y) x)) (-.f64 (.f64 z z) (.f64 (.f64 (log.f64 y) x) z)))
3.0ms	y	@	0	(/.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))))
2.0ms	y	@	inf	(/.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))))

rewrite143.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`fma-neg_binary64`
314×	`expm1-udef_binary64`
314×	`log1p-udef_binary64`
194×	`add-sqr-sqrt_binary64`
192×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	90
1	391	55
2	5825	55

Stop Event

1×	node limit

Counts

4 → 255

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 y) x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (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 .f64 (fma.f64 z (-.f64 z (.f64 (log.f64 y) x)) (pow.f64 (.f64 (log.f64 y) x) 2)) (.f64 (fma.f64 (log.f64 y) x z) (/.f64 1 (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 .f64 (fma.f64 (log.f64 y) x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (log.f64 y) x z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (log.f64 y) x z)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x z)) 2) (cbrt.f64 (fma.f64 (log.f64 y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3))) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3))) (/.f64 1 (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 .f64 (sqrt.f64 (fma.f64 (log.f64 y) x z)) (sqrt.f64 (fma.f64 (log.f64 y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (pow.f64 z 3/2) (pow.f64 (.f64 (log.f64 y) x) 3/2)) (.f64 (hypot.f64 (pow.f64 z 3/2) (pow.f64 (.f64 (log.f64 y) x) 3/2)) (/.f64 1 (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 .f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3))) (/.f64 1 (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 .f64 (/.f64 1 (fma.f64 z (-.f64 z (.f64 (log.f64 y) x)) (pow.f64 (.f64 (log.f64 y) x) 2))) (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (-.f64 z (.f64 (log.f64 y) x)) (pow.f64 (.f64 (log.f64 y) x) 2)) 1) (/.f64 (fma.f64 (log.f64 y) x z) (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 .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 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 .f64 (/.f64 (hypot.f64 (pow.f64 z 3/2) (pow.f64 (.f64 (log.f64 y) x) 3/2)) 1) (/.f64 (hypot.f64 (pow.f64 z 3/2) (pow.f64 (.f64 (log.f64 y) x) 3/2)) (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 .f64 (/.f64 (fma.f64 z (-.f64 z (.f64 (log.f64 y) x)) (pow.f64 (.f64 (log.f64 y) x) 2)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 z (.f64 (log.f64 y) x)) (pow.f64 (.f64 (log.f64 y) x) 2))) 2)) (/.f64 (fma.f64 (log.f64 y) x z) (cbrt.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 .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 z (.f64 (log.f64 y) x)) (pow.f64 (.f64 (log.f64 y) x) 2))) 2)) (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3)) (cbrt.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 .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 z (.f64 (log.f64 y) x)) (pow.f64 (.f64 (log.f64 y) x) 2))) 2)) (cbrt.f64 (fma.f64 (log.f64 y) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (pow.f64 z 3/2) (pow.f64 (.f64 (log.f64 y) x) 3/2)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 z (.f64 (log.f64 y) x)) (pow.f64 (.f64 (log.f64 y) x) 2))) 2)) (/.f64 (hypot.f64 (pow.f64 z 3/2) (pow.f64 (.f64 (log.f64 y) x) 3/2)) (cbrt.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 .f64 (/.f64 (fma.f64 z (-.f64 z (.f64 (log.f64 y) x)) (pow.f64 (.f64 (log.f64 y) x) 2)) (hypot.f64 (.f64 (log.f64 y) x) (sqrt.f64 (.f64 z (-.f64 z (.f64 (log.f64 y) x)))))) (/.f64 (fma.f64 (log.f64 y) x z) (hypot.f64 (.f64 (log.f64 y) x) (sqrt.f64 (.f64 z (-.f64 z (.f64 (log.f64 y) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 (.f64 (log.f64 y) x) (sqrt.f64 (.f64 z (-.f64 z (.f64 (log.f64 y) x)))))) (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3)) (hypot.f64 (.f64 (log.f64 y) x) (sqrt.f64 (.f64 z (-.f64 z (.f64 (log.f64 y) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 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simplify156.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

591×	`fma-neg_binary64`
556×	`fma-def_binary64`
455×	`associate-l_binary64`
414×	`associate-r_binary64`
336×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	2928
1	377	2629
2	1454	2411
3	6482	2411

Stop Event

1×	node limit

Counts

399 → 297

Calls

Call 1

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

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

eval231.0ms (2.8%)

Compiler: Compiled 15561 to 5624 computations (63.9% saved)

prune144.0ms (1.8%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	597	10	607
Fresh	3	1	4
Picked	1	0	1
Done	3	5	8
Total	604	16	620

Error

Counts

620 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.9b	(-.f64 (neg.f64 z) y)
	42.4b	(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 y) x)))) y)
▶	51.5b	(-.f64 (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2) y)
	51.9b	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3)) (.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) y)
▶	23.0b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) y)
▶	42.2b	(-.f64 z y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
✓	0.1b	(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
	23.0b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) y)
✓	42.4b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) y)
▶	1.5b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) x))) z) y)
	39.5b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) y)
	41.2b	(-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) y)
	42.1b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	22.7b	(-.f64 (*.f64 (log.f64 y) x) y)
▶	23.0b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)

Compiler

Compiled 384 to 252 computations (34.4% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)
✓	0.7b	(pow.f64 (log.f64 y) 3)
✓	1.8b	(cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) x))

Compiler

Compiled 75 to 42 computations (44% saved)

series6.0ms (0.1%)

Counts

2 → 20

Calls

9 calls:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`pow1_binary64`
624×	`add-log-exp_binary64`
624×	`log1p-expm1-u_binary64`
624×	`expm1-log1p-u_binary64`
608×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	164	14
2	1759	14

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-def_binary64`
375×	`distribute-rgt-neg-in_binary64`
366×	`distribute-rgt-out_binary64`
336×	`distribute-neg-in_binary64`
301×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	176
1	69	176
2	185	144
3	584	144
4	2013	144
5	5508	144

Stop Event

1×	node limit

Counts

61 → 47

Calls

Call 1

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

localize3.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize30.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	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)

series12.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	164	14
2	1624	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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))))))))

simplify119.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-neg_binary64`
843×	`fma-def_binary64`
418×	`unswap-sqr_binary64`
375×	`associate--r-_binary64`
338×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	232
1	76	196
2	148	196
3	298	196
4	547	196
5	1186	196
6	2779	196
7	4338	196
8	4925	196
9	5131	196
10	5367	196
11	5704	196

Stop Event

1×	node limit

Counts

76 → 59

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)

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 13 computations (64.9% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2)
1.0ms	x	@	inf	(pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2)
0.0ms	x	@	0	(pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2)
0.0ms	x	@	inf	(*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	183	14
2	2003	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

717×	`unswap-sqr_binary64`
337×	`unsub-neg_binary64`
317×	`fma-neg_binary64`
315×	`fma-def_binary64`
304×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	196
1	45	196
2	84	196
3	206	196
4	723	196
5	2782	196
6	5445	196
7	6735	196

Stop Event

1×	node limit

Counts

66 → 47

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

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

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

eval104.0ms (1.3%)

Compiler: Compiled 4826 to 2308 computations (52.2% saved)

prune72.0ms (0.9%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	318	4	322
Fresh	3	3	6
Picked	0	1	1
Done	1	8	9
Total	322	16	338

Error

Counts

338 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.5b	(-.f64 (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2) y)
	51.9b	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 z 3)) (.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) y)
	42.4b	(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 y) x)))) y)
✓	22.7b	(-.f64 (*.f64 (log.f64 y) x) y)
	42.1b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	23.0b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)
✓	23.0b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) y)
✓	42.2b	(-.f64 z y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	24.1b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) x))) y)
✓	0.1b	(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
	23.0b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) y)
✓	42.4b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) y)
	41.2b	(-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) y)
	39.5b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) y)
✓	19.9b	(-.f64 (neg.f64 z) y)

Compiler

Compiled 215 to 142 computations (34% saved)

regimes88.0ms (1.1%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
18.0ms	z
17.0ms	y
16.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)`

Compiler

Compiled 449 to 158 computations (64.8% saved)

regimes21.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
4.0ms	y
4.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
4.0ms	z

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)`

Compiler

Compiled 47 to 28 computations (40.4% saved)

regimes81.0ms (1%)

Counts

3 → 5

Calls

Call 1

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

Calls

3 calls:

44.0ms	x
24.0ms	y
12.0ms	z

Results

Error	Segments	Branch
6.9b	5	`x`
14.9b	6	`y`
8.5b	3	`z`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch107.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	9.470811504927631e+83	9.596845919029823e+89
24.0ms	-7.063372647782073e-163	-2.1368363805771212e-166
36.0ms	-313394540240688500.0	-169471054086893.7
24.0ms	-3.032427623150505e+80	-2.372537559347873e+74

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes14.0ms (0.2%)

Accuracy

Total -22.5b remaining (-112.7%)

Threshold costs -22.5b (-112.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
3.0ms	z
3.0ms	x

Results

Error	Segments	Branch
19.9b	1	`x`
19.9b	1	`y`
19.9b	1	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
9×	`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	28	97
1	41	97
2	53	97
3	61	97
4	64	97
5	65	97

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(if (<=.f64 x -303242762315050497174110627119660665934638422949837716963941835452379898467844096) (-.f64 (.f64 (log.f64 y) x) y) (if (<=.f64 x -313394540240688512) (-.f64 (neg.f64 z) y) (if (<=.f64 x -715565790302243/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (-.f64 (.f64 (log.f64 y) x) y) (if (<=.f64 x 947081150492763138314072583326362781367216971601758559368505811584410889505445249024) (-.f64 (neg.f64 z) y) (-.f64 (*.f64 (log.f64 y) x) y)))))
(-.f64 (neg.f64 z) y)
(-.f64 z y)

Outputs
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)
(if (<=.f64 x -303242762315050497174110627119660665934638422949837716963941835452379898467844096) (-.f64 (.f64 (log.f64 y) x) y) (if (<=.f64 x -313394540240688512) (-.f64 (neg.f64 z) y) (if (<=.f64 x -715565790302243/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (-.f64 (.f64 (log.f64 y) x) y) (if (<=.f64 x 947081150492763138314072583326362781367216971601758559368505811584410889505445249024) (-.f64 (neg.f64 z) y) (-.f64 (*.f64 (log.f64 y) x) y)))))
(-.f64 (neg.f64 z) y)
(-.f64 z y)

Compiler

Compiled 80 to 43 computations (46.3% saved)

soundness312.0ms (3.8%)

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

end37.0ms (0.4%)

Compiler: Compiled 68 to 25 computations (63.2% saved)

Details

analyze147.0ms (1.8%)

sample2.2s (27.2%)

preprocess216.0ms (2.6%)

simplify183.0ms (2.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series196.0ms (2.4%)

rewrite230.0ms (2.8%)

simplify183.0ms (2.2%)

eval12.0ms (0.1%)

prune26.0ms (0.3%)

localize11.0ms (0.1%)

series3.0ms (0%)

rewrite43.0ms (0.5%)

simplify155.0ms (1.9%)

localize16.0ms (0.2%)

localize146.0ms (1.8%)

series12.0ms (0.1%)

rewrite84.0ms (1%)

simplify59.0ms (0.7%)

localize16.0ms (0.2%)

series123.0ms (1.5%)

rewrite69.0ms (0.8%)

simplify257.0ms (3.1%)

localize17.0ms (0.2%)

series21.0ms (0.3%)

rewrite68.0ms (0.8%)

simplify68.0ms (0.8%)

eval189.0ms (2.3%)

prune116.0ms (1.4%)

localize21.0ms (0.3%)

series13.0ms (0.2%)

rewrite134.0ms (1.6%)

simplify80.0ms (1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite44.0ms (0.5%)

simplify193.0ms (2.4%)

localize13.0ms (0.2%)

series10.0ms (0.1%)

rewrite57.0ms (0.7%)

simplify76.0ms (0.9%)

localize14.0ms (0.2%)

series13.0ms (0.2%)

rewrite182.0ms (2.2%)

simplify286.0ms (3.5%)

localize35.0ms (0.4%)

series33.0ms (0.4%)

rewrite143.0ms (1.8%)

simplify156.0ms (1.9%)

eval231.0ms (2.8%)

prune144.0ms (1.8%)

localize35.0ms (0.4%)

series6.0ms (0.1%)

rewrite54.0ms (0.7%)

simplify51.0ms (0.6%)

localize3.0ms (0%)

localize30.0ms (0.4%)

series12.0ms (0.1%)

rewrite55.0ms (0.7%)

simplify119.0ms (1.5%)

localize16.0ms (0.2%)

series5.0ms (0.1%)

rewrite59.0ms (0.7%)

simplify66.0ms (0.8%)

localize25.0ms (0.3%)

eval104.0ms (1.3%)

prune72.0ms (0.9%)

regimes88.0ms (1.1%)

regimes21.0ms (0.3%)

regimes81.0ms (1%)

bsearch107.0ms (1.3%)

regimes14.0ms (0.2%)

simplify7.0ms (0.1%)

soundness312.0ms (3.8%)

end37.0ms (0.4%)

Profiling