Details

analyze121.0ms (1.5%)

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)

sample1.8s (22.5%)

Results

1.7s	8255×	body	256	valid
10.0ms	84×	body	256	invalid
1.0ms	1×	body	1024	valid

preprocess248.0ms (3.1%)

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)

simplify200.0ms (2.5%)

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)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series96.0ms (1.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
33.0ms	y	@	-inf	(*.f64 x (log.f64 y))
32.0ms	x	@	0	(*.f64 x (log.f64 y))
18.0ms	y	@	0	(*.f64 x (log.f64 y))
6.0ms	y	@	inf	(*.f64 x (log.f64 y))
2.0ms	z	@	0	(-.f64 (*.f64 x (log.f64 y)) z)

rewrite157.0ms (2%)

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))))))

simplify172.0ms (2.1%)

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 (0.2%)

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

prune49.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Error

0.0b

Counts

58 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.5b	(-.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2) y)
▶	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)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
▶	0.9b	(-.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3) y)
▶	19.8b	(-.f64 (neg.f64 z) y)
▶	22.0b	(-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z) y)

Compiler

Compiled 153 to 99 computations (35.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 71 to 17 computations (76.1% saved)

series43.0ms (0.5%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
19.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)
3.0ms	x	@	0	(cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)
2.0ms	y	@	0	(cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))
2.0ms	y	@	-inf	(cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))

rewrite72.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

987×	`pow1_binary64`
917×	`add-log-exp_binary64`
916×	`log1p-expm1-u_binary64`
916×	`expm1-log1p-u_binary64`
105×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	232	34
2	2593	34

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Inputs

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

(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)

(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)))

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

Outputs

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

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

simplify137.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary64`
596×	`distribute-lft-in_binary64`
588×	`unswap-sqr_binary64`
576×	`distribute-rgt-in_binary64`
202×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1927
1	562	1822
2	1872	1810
3	5366	1810

Stop Event

1×	node limit

Counts

150 → 121

Calls

Call 1

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

localize5.0ms (0.1%)

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

localize21.0ms (0.3%)

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)
✓	0.3b	(pow.f64 (*.f64 x (log.f64 y)) 3)
	0.3b	(*.f64 x (log.f64 y))
✓	40.3b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))

Compiler

Compiled 46 to 20 computations (56.5% saved)

series34.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
24.0ms	y	@	-inf	(pow.f64 (*.f64 x (log.f64 y)) 3)
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	x	@	-inf	(pow.f64 (*.f64 x (log.f64 y)) 3)
1.0ms	x	@	0	(pow.f64 (*.f64 x (log.f64 y)) 3)

rewrite61.0ms (0.8%)

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))))))

simplify88.0ms (1.1%)

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

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
	0.3b	(*.f64 x (log.f64 y))
	0.6b	(cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))
✓	0.7b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)

Compiler

Compiled 46 to 13 computations (71.7% saved)

series15.0ms (0.2%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
2.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
1.0ms	z	@	inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)

rewrite183.0ms (2.3%)

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	9
1	214	9
2	2446	9

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

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

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

927×	`fma-def_binary64`
399×	`unswap-sqr_binary64`
367×	`associate-+r+_binary64`
352×	`associate-+l+_binary64`
302×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	1353
1	592	1140
2	2044	1121
3	6847	1114

Stop Event

1×	node limit

Counts

65 → 65

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)))))

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

localize15.0ms (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))
✓	0.3b	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)
	0.3b	(*.f64 x (log.f64 y))

Compiler

Compiled 46 to 13 computations (71.7% saved)

series33.0ms (0.4%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	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)
2.0ms	z	@	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)
1.0ms	z	@	inf	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)

rewrite74.0ms (0.9%)

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

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(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))))))))

simplify67.0ms (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)))))

eval375.0ms (4.7%)

Compiler: Compiled 15902 to 7960 computations (49.9% saved)

prune282.0ms (3.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	622	10	632
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	625	13	638

Error

0.0b

Counts

638 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.8b	(-.f64 (neg.f64 z) y)
	30.7b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (log.f64 y)) z)) 2) (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z))) y)
✓	22.0b	(-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z) y)
▶	0.4b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) z) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
▶	0.4b	(-.f64 (-.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y))) z) y)
	35.1b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z) y)
▶	0.4b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (cbrt.f64 (*.f64 x (log.f64 y)))) z) y)
	29.5b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (log.f64 y)) z) 2)) (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))) y)
▶	22.1b	(-.f64 (*.f64 (log.f64 y) x) y)
	30.7b	(-.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)) 2) y)
▶	41.2b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) y)
	22.4b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)

Compiler

Compiled 366 to 236 computations (35.5% saved)

localize159.0ms (2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 26 computations (58.7% saved)

series25.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))
3.0ms	x	@	0	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))
2.0ms	y	@	-inf	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (log.f64 y)) 2)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (log.f64 y)) 2)

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	179	30
2	1967	30

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

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

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

simplify207.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-def_binary64`
492×	`unswap-sqr_binary64`
460×	`unsub-neg_binary64`
392×	`fma-neg_binary64`
380×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	632
1	105	624
2	217	624
3	611	624
4	2375	624
5	5601	624

Stop Event

1×	node limit

Counts

134 → 77

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify183.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

80 → 57

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 12 computations (63.6% saved)

series12.0ms (0.2%)

Counts

3 → 33

Calls

18 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`pow1_binary64`
787×	`add-log-exp_binary64`
786×	`log1p-expm1-u_binary64`
786×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	194	23
2	2193	23

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

717×	`unswap-sqr_binary64`
446×	`unsub-neg_binary64`
423×	`fma-neg_binary64`
408×	`fma-def_binary64`
308×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	296
1	56	292
2	111	292
3	280	260
4	926	260
5	3211	260
6	5939	260
7	7388	260

Stop Event

1×	node limit

Counts

120 → 99

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

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

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 21 computations (62.5% saved)

series14.0ms (0.2%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	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)

rewrite68.0ms (0.8%)

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

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

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

99 → 70

Calls

Call 1

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

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

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (log.f64 y))
✓	0.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (cbrt.f64 (*.f64 x (log.f64 y))))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)
✓	0.7b	(cbrt.f64 (*.f64 x (log.f64 y)))

Compiler

Compiled 70 to 21 computations (70% saved)

series162.0ms (2%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
148.0ms	x	@	-inf	(cbrt.f64 (*.f64 x (log.f64 y)))
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)
2.0ms	y	@	inf	(cbrt.f64 (*.f64 x (log.f64 y)))
2.0ms	y	@	-inf	(cbrt.f64 (*.f64 x (log.f64 y)))
2.0ms	y	@	0	(cbrt.f64 (*.f64 x (log.f64 y)))

rewrite236.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`pow1_binary64`
602×	`add-log-exp_binary64`
601×	`log1p-expm1-u_binary64`
601×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	182	25
2	1765	25

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

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

Outputs

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

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

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

simplify162.0ms (2%)

Algorithm

1×	egg-herbie

Rules

738×	`unsub-neg_binary64`
653×	`unswap-sqr_binary64`
629×	`fma-def_binary64`
366×	`fma-neg_binary64`
283×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	476
1	105	468
2	231	468
3	834	468
4	2477	468
5	6053	468

Stop Event

1×	node limit

Counts

100 → 65

Calls

Call 1

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

eval188.0ms (2.3%)

Compiler: Compiled 7738 to 3236 computations (58.2% saved)

prune245.0ms (3.1%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	468	13	481
Fresh	5	0	5
Picked	1	0	1
Done	3	4	7
Total	477	17	494

Error

0.0b

Counts

494 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	43.9b	(*.f64 (log.f64 y) x)
▶	41.4b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) y)
	22.4b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) x)) 2) (cbrt.f64 (*.f64 (log.f64 y) x))) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
▶	0.3b	(-.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x) (cbrt.f64 (log.f64 y))) z) y)
	6.7b	(-.f64 (-.f64 (.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 x) (log.f64 y))) z) y)
▶	22.4b	(-.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y))) y)
✓	41.2b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) y)
	27.4b	(-.f64 (-.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (pow.f64 (pow.f64 (log.f64 y) 1/6) 2)) z) y)
	22.1b	(fma.f64 (log.f64 y) x (neg.f64 y))
▶	41.3b	(neg.f64 y)
✓	19.8b	(-.f64 (neg.f64 z) y)
	22.4b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) y)
	22.9b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3)
✓	22.1b	(-.f64 (*.f64 (log.f64 y) x) y)
▶	50.6b	(-.f64 (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2) y)
	45.0b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y)

Compiler

Compiled 393 to 265 computations (32.6% saved)

localize54.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 33 computations (50.7% saved)

series15.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(cbrt.f64 (pow.f64 (log.f64 y) 2))
3.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (log.f64 y) 2))
2.0ms	y	@	0	(cbrt.f64 (pow.f64 (log.f64 y) 2))
1.0ms	y	@	-inf	(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x) (cbrt.f64 (log.f64 y)))
1.0ms	y	@	-inf	(pow.f64 (log.f64 y) 2)

rewrite97.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
741×	`add-log-exp_binary64`
741×	`log1p-expm1-u_binary64`
741×	`expm1-log1p-u_binary64`
721×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	196	20
2	2197	20

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs

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

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

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

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

570×	`fma-def_binary64`
362×	`unswap-sqr_binary64`
351×	`unsub-neg_binary64`
307×	`fma-neg_binary64`
305×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	304
1	63	288
2	118	288
3	332	288
4	1314	288
5	3877	288
6	7692	288

Stop Event

1×	node limit

Counts

97 → 62

Calls

Call 1

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

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

localize9.0ms (0.1%)

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

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) y)
✓	0.3b	(pow.f64 (*.f64 (log.f64 y) x) 3)
	0.3b	(*.f64 (log.f64 y) x)
✓	40.3b	(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))

Compiler

Compiled 34 to 15 computations (55.9% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
794×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	197	24
2	2287	24

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	680
1	102	671
2	336	671
3	1408	671
4	4197	671

Stop Event

1×	node limit

Counts

163 → 105

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2) y)
✓	0.1b	(sqrt.f64 (log.f64 y))
✓	0.1b	(*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x))
✓	0.2b	(pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2)

Compiler

Compiled 37 to 13 computations (64.9% saved)

series23.0ms (0.3%)

Counts

4 → 45

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	y	@	inf	(sqrt.f64 (log.f64 y))
1.0ms	x	@	-inf	(-.f64 (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2) y)
1.0ms	y	@	-inf	(sqrt.f64 (log.f64 y))
1.0ms	x	@	inf	(-.f64 (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2) y)
1.0ms	x	@	0	(-.f64 (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2) y)

rewrite128.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`pow1_binary64`
912×	`add-log-exp_binary64`
911×	`log1p-expm1-u_binary64`
911×	`expm1-log1p-u_binary64`
106×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	215	28
2	2653	28

Stop Event

1×	node limit

Counts

4 → 101

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

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

simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

447×	`unsub-neg_binary64`
423×	`fma-neg_binary64`
408×	`fma-def_binary64`
315×	`distribute-rgt-neg-in_binary64`
306×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	396
1	61	392
2	116	392
3	294	360
4	948	360
5	3267	360
6	5987	360
7	7461	360

Stop Event

1×	node limit

Counts

146 → 116

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

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

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 20 computations (57.4% saved)

eval177.0ms (2.2%)

Compiler: Compiled 6085 to 2697 computations (55.7% saved)

prune215.0ms (2.7%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	417	5	422
Fresh	5	3	8
Picked	0	1	1
Done	1	7	8
Total	423	16	439

Error

0.0b

Counts

439 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	43.9b	(*.f64 (log.f64 y) x)
	22.4b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) y)
✓	41.4b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	22.3b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (.f64 (cbrt.f64 (log.f64 y)) x)) y)
	6.7b	(-.f64 (-.f64 (.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 x) (log.f64 y))) z) y)
	27.4b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (log.f64 y) 2/3) x) (cbrt.f64 (log.f64 y))) z) y)
✓	22.4b	(-.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y))) y)
✓	41.3b	(neg.f64 y)
✓	19.8b	(-.f64 (neg.f64 z) y)
	22.9b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3)
	22.1b	(fma.f64 (log.f64 y) x (neg.f64 y))
✓	22.1b	(-.f64 (*.f64 (log.f64 y) x) y)
✓	50.6b	(-.f64 (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x)) 2) y)
	45.0b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	41.2b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) y)

Compiler

Compiled 192 to 131 computations (31.8% saved)

regimes92.0ms (1.1%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
21.0ms	y
20.0ms	z
19.0ms	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 419 to 165 computations (60.6% saved)

regimes67.0ms (0.8%)

Accuracy

Total -56.3b remaining (-929.8%)

Threshold costs -56.3b (-929.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	y
13.0ms	x
10.0ms	z

Results

Error	Segments	Branch
6.1b	3	`x`
15.8b	6	`y`
7.9b	3	`z`

Compiler

Compiled 31 to 18 computations (41.9% saved)

bsearch77.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	3.4584507956667045e+100	7.276734388257674e+101
23.0ms	-3.642816411504948e+87	-2.842991472887462e+79

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	32	51
2	42	51
3	49	51
4	51	51
5	52	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -3642816411504947836894145558333786798771893203659485214278877993621387135010661115887616) (-.f64 (*.f64 (log.f64 y) x) y) (if (<=.f64 x 34584507956667044906891500060679040198688240894636170214471299364045603902681186087733196877398540288) (-.f64 (neg.f64 z) y) (-.f64 (*.f64 (log.f64 y) x) y)))

(neg.f64 y)

Outputs
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(if (<=.f64 x -3642816411504947836894145558333786798771893203659485214278877993621387135010661115887616) (-.f64 (.f64 (log.f64 y) x) y) (if (<=.f64 x 34584507956667044906891500060679040198688240894636170214471299364045603902681186087733196877398540288) (-.f64 (neg.f64 z) y) (-.f64 (.f64 (log.f64 y) x) y)))
(if (<=.f64 x -3642816411504947836894145558333786798771893203659485214278877993621387135010661115887616) (-.f64 (.f64 x (log.f64 y)) y) (if (<=.f64 x 34584507956667044906891500060679040198688240894636170214471299364045603902681186087733196877398540288) (-.f64 (neg.f64 z) y) (-.f64 (.f64 x (log.f64 y)) y)))
(if (<=.f64 x -3642816411504947836894145558333786798771893203659485214278877993621387135010661115887616) (-.f64 (.f64 x (log.f64 y)) y) (if (<=.f64 x 34584507956667044906891500060679040198688240894636170214471299364045603902681186087733196877398540288) (neg.f64 (+.f64 z y)) (-.f64 (.f64 x (log.f64 y)) y)))
(if (<=.f64 x -3642816411504947836894145558333786798771893203659485214278877993621387135010661115887616) (-.f64 (.f64 x (log.f64 y)) y) (if (<=.f64 x 34584507956667044906891500060679040198688240894636170214471299364045603902681186087733196877398540288) (-.f64 (neg.f64 y) z) (-.f64 (.f64 x (log.f64 y)) y)))
(neg.f64 y)

Compiler

Compiled 43 to 25 computations (41.9% saved)

soundness0.0ms (0%)

end27.0ms (0.3%)

Compiler: Compiled 37 to 16 computations (56.8% saved)

Details

analyze121.0ms (1.5%)

sample1.8s (22.5%)

preprocess248.0ms (3.1%)

simplify200.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series96.0ms (1.2%)

rewrite157.0ms (2%)

simplify172.0ms (2.1%)

eval12.0ms (0.2%)

prune49.0ms (0.6%)

localize23.0ms (0.3%)

series43.0ms (0.5%)

rewrite72.0ms (0.9%)

simplify137.0ms (1.7%)

localize5.0ms (0.1%)

localize21.0ms (0.3%)

series34.0ms (0.4%)

rewrite61.0ms (0.8%)

simplify88.0ms (1.1%)

localize16.0ms (0.2%)

series15.0ms (0.2%)

rewrite183.0ms (2.3%)

simplify75.0ms (0.9%)

localize15.0ms (0.2%)

series33.0ms (0.4%)

rewrite74.0ms (0.9%)

simplify67.0ms (0.8%)

eval375.0ms (4.7%)

prune282.0ms (3.5%)

localize159.0ms (2%)

series25.0ms (0.3%)

rewrite70.0ms (0.9%)

simplify207.0ms (2.6%)

localize10.0ms (0.1%)

series3.0ms (0%)

rewrite59.0ms (0.7%)

simplify183.0ms (2.3%)

localize13.0ms (0.2%)

series12.0ms (0.2%)

rewrite63.0ms (0.8%)

simplify75.0ms (0.9%)

localize28.0ms (0.3%)

series14.0ms (0.2%)

rewrite68.0ms (0.8%)

simplify79.0ms (1%)

localize28.0ms (0.4%)

series162.0ms (2%)

rewrite236.0ms (2.9%)

simplify162.0ms (2%)

eval188.0ms (2.3%)

prune245.0ms (3.1%)

localize54.0ms (0.7%)

series15.0ms (0.2%)

rewrite97.0ms (1.2%)

simplify109.0ms (1.4%)

localize9.0ms (0.1%)

localize39.0ms (0.5%)

series8.0ms (0.1%)

rewrite93.0ms (1.2%)

simplify68.0ms (0.9%)

localize14.0ms (0.2%)

series23.0ms (0.3%)

rewrite128.0ms (1.6%)

simplify110.0ms (1.4%)

localize21.0ms (0.3%)

eval177.0ms (2.2%)

prune215.0ms (2.7%)

regimes92.0ms (1.1%)

regimes67.0ms (0.8%)

bsearch77.0ms (1%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end27.0ms (0.3%)

Profiling