Details

analyze192.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.4s (18.6%)

Results

2.4s	8252×	body	256	valid
11.0ms	44×	body	256	infinite
10.0ms	68×	body	256	invalid
2.0ms	3×	body	1024	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess221.0ms (1.7%)

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)

simplify178.0ms (1.4%)

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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series191.0ms (1.5%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
142.0ms	x	@	0	(*.f64 x (log.f64 y))
22.0ms	y	@	0	(*.f64 x (log.f64 y))
15.0ms	y	@	-inf	(*.f64 x (log.f64 y))
7.0ms	y	@	inf	(*.f64 x (log.f64 y))
2.0ms	z	@	0	(-.f64 (*.f64 x (log.f64 y)) z)

rewrite61.0ms (0.5%)

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))))))

simplify170.0ms (1.3%)

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)

eval13.0ms (0.1%)

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

prune37.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Error

0.1b

Counts

58 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0b	(-.f64 (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) z) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z)))) y)
▶	23.3b	(-.f64 (neg.f64 z) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
▶	34.2b	(-.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 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
▶	0.9b	(-.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3) y)

Compiler

Compiled 193 to 121 computations (37.3% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 (log.f64 y) x (neg.f64 z))
0.0ms	x	@	inf	(fma.f64 (log.f64 y) x (neg.f64 z))
0.0ms	y	@	0	(fma.f64 (log.f64 y) x (neg.f64 z))
0.0ms	y	@	inf	(fma.f64 (log.f64 y) x (neg.f64 z))
0.0ms	y	@	-inf	(fma.f64 (log.f64 y) x (neg.f64 z))

rewrite45.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify269.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

59 → 30

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
	0.2b	(*.f64 x (log.f64 y))
✓	0.5b	(cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))
✓	0.7b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)

Compiler

Compiled 46 to 13 computations (71.7% saved)

series168.0ms (1.3%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
145.0ms	y	@	inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
5.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 3)

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify309.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

107 → 107

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 13 computations (71.7% saved)

series72.0ms (0.6%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
38.0ms	x	@	inf	(sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z))
20.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)
3.0ms	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	x	@	0	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) z)) 2)

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (0.7%)

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)))))

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (fma.f64 x (log.f64 y) z) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z))))
	0.2b	(*.f64 x (log.f64 y))
✓	4.1b	(-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z))
✓	35.9b	(/.f64 (fma.f64 x (log.f64 y) z) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z)))

Compiler

Compiled 92 to 31 computations (66.3% saved)

series23.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/.f64 1 (/.f64 (fma.f64 x (log.f64 y) z) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z))))
2.0ms	y	@	-inf	(/.f64 (fma.f64 x (log.f64 y) z) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z)))
1.0ms	y	@	0	(/.f64 (fma.f64 x (log.f64 y) z) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z)))
1.0ms	y	@	inf	(/.f64 (fma.f64 x (log.f64 y) z) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z)))
1.0ms	z	@	0	(-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z))

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`prod-diff_binary64`
693×	`log-prod_binary64`
308×	`fma-def_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	302	63
2	3942	63

Stop Event

1×	node limit

Counts

3 → 259

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

562×	`times-frac_binary64`
507×	`distribute-rgt-neg-in_binary64`
376×	`distribute-lft-neg-in_binary64`
336×	`associate-/l*_binary64`
291×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	2271
1	221	2238
2	688	2199
3	4414	2148

Stop Event

1×	node limit

Counts

367 → 296

Calls

Call 1

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

eval615.0ms (4.7%)

Compiler: Compiled 18308 to 8081 computations (55.9% saved)

prune242.0ms (1.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	649	8	657
Fresh	1	0	1
Picked	1	0	1
Done	2	3	5
Total	653	11	664

Error

0.0b

Counts

664 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	34.2b	(-.f64 (.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)))) y)
✓	0.1b	(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
✓	23.3b	(-.f64 (neg.f64 z) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	21.1b	(-.f64 (/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y))) y)
	43.5b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) y)
▶	21.1b	(-.f64 (*.f64 (log.f64 y) x) y)
▶	34.0b	(-.f64 (/.f64 (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 z z)) (fma.f64 (log.f64 y) x z)) y)
▶	49.1b	(-.f64 (.f64 (/.f64 (hypot.f64 (.f64 x (log.f64 y)) (sqrt.f64 (.f64 z (neg.f64 z)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) 2)) (/.f64 (hypot.f64 (.f64 x (log.f64 y)) (sqrt.f64 (*.f64 z (neg.f64 z)))) (cbrt.f64 (fma.f64 x (log.f64 y) z)))) y)
▶	23.4b	(-.f64 (/.f64 1 (/.f64 -1 z)) y)
▶	21.4b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)

Compiler

Compiled 331 to 191 computations (42.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite53.0ms (0.4%)

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))))))

simplify175.0ms (1.3%)

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 (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 -1 z))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 1 (/.f64 -1 z))
0.0ms	z	@	inf	(/.f64 1 (/.f64 -1 z))
0.0ms	z	@	-inf	(/.f64 1 (/.f64 -1 z))

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

370×	`pow1_binary64`
359×	`add-sqr-sqrt_binary64`
351×	`*-un-lft-identity_binary64`
343×	`add-log-exp_binary64`
342×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	120	1
2	1412	1

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(/.f64 1 (/.f64 -1 z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (log.f64 (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (neg.f64 (/.f64 1 (cbrt.f64 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (pow.f64 z -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -1) 2) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (pow.f64 z -1/2)) -1) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 z -2))) -1) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 z 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 z 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 z z) -1) 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (cbrt.f64 z)) 2) 1/3) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 z 5/2) 1/3) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 z)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 z)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 z)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x . z)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) 2))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64`
2×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	36
1	6	36
2	8	36
3	9	36
4	11	36
5	15	36
6	19	36
7	24	36

Stop Event

1×

saturated

Counts

62 → 50

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 12 computations (63.6% saved)

series18.0ms (0.1%)

Counts

3 → 39

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

Outputs

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

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

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

simplify197.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

129 → 102

Calls

Call 1

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

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

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (pow.f64 (log.f64 y) 2))
✓	0.5b	(pow.f64 (log.f64 y) 2)
✓	4.1b	(-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 z z))
✓	35.9b	(/.f64 (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 z z)) (fma.f64 (log.f64 y) x z))

Compiler

Compiled 85 to 34 computations (60% saved)

series23.0ms (0.2%)

Counts

4 → 104

Calls

27 calls:

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

rewrite171.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`log-prod_binary64`
492×	`fma-def_binary64`
364×	`pow2_binary64`
262×	`fma-neg_binary64`
253×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	287	54
2	3930	54

Stop Event

1×	node limit

Counts

4 → 294

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) 2)) (cbrt.f64 (/.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 (/.f64 (hypot.f64 (.f64 x (log.f64 y)) (sqrt.f64 (.f64 z (neg.f64 z)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) 2)) (/.f64 (hypot.f64 (.f64 x (log.f64 y)) (sqrt.f64 (.f64 z (neg.f64 z)))) (cbrt.f64 (fma.f64 x (log.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z))) 2) (sqrt.f64 (fma.f64 x (log.f64 y) z))) (/.f64 (cbrt.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 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z z)) (fma.f64 x (log.f64 y) z)) 1)))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 y (log.f64 y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 y (log.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 y (log.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 y (log.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (pow.f64 (log.f64 y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (pow.f64 (log.f64 y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 y) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (log.f64 y) 3) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 (log.f64 y) 3) 2) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) (pow.f64 (log.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 y (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (pow.f64 (log.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (log.f64 y) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 (log.f64 y) 3) 2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 (log.f64 y)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 (log.f64 y)) (log.f64 x)) 1))))))

simplify112.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

758×	`div-sub_binary64`
517×	`unswap-sqr_binary64`
354×	`cancel-sign-sub-inv_binary64`
299×	`fma-neg_binary64`
269×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	1405
1	110	1371
2	237	1371
3	918	1371
4	4825	1371

Stop Event

1×	node limit

Counts

398 → 319

Calls

Call 1

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

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

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x (log.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) 2)
✓	0.5b	(cbrt.f64 (fma.f64 x (log.f64 y) z))
✓	15.0b	(sqrt.f64 (*.f64 z (neg.f64 z)))

Compiler

Compiled 165 to 27 computations (83.6% saved)

series35.0ms (0.3%)

Counts

3 → 52

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) 2)
3.0ms	z	@	0	(cbrt.f64 (fma.f64 x (log.f64 y) z))
3.0ms	y	@	-inf	(cbrt.f64 (fma.f64 x (log.f64 y) z))
3.0ms	y	@	inf	(cbrt.f64 (fma.f64 x (log.f64 y) z))
3.0ms	y	@	0	(cbrt.f64 (fma.f64 x (log.f64 y) z))

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`pow1_binary64`
782×	`add-log-exp_binary64`
781×	`log1p-expm1-u_binary64`
781×	`expm1-log1p-u_binary64`
762×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	242	22
2	2800	22

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

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

simplify125.0ms (1%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary64`
515×	`times-frac_binary64`
448×	`*-commutative_binary64`
438×	`distribute-rgt-in_binary64`
430×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1465
1	497	1370
2	1651	1362
3	4555	1362

Stop Event

1×	node limit

Counts

121 → 112

Calls

Call 1

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

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

eval644.0ms (4.9%)

Compiler: Compiled 22269 to 7082 computations (68.2% saved)

prune272.0ms (2.1%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	749	9	758
Fresh	2	1	3
Picked	1	0	1
Done	0	7	7
Total	752	17	769

Error

0.0b

Counts

769 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	21.4b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) y)
▶	21.1b	(-.f64 (/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y))) y)
	39.6b	(*.f64 (log.f64 y) x)
✓	0.1b	(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
	40.4b	(-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) y)
▶	44.5b	(-.f64 (-.f64 (+.f64 1 z) 1) y)
✓	23.3b	(-.f64 (neg.f64 z) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
▶	41.4b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	23.4b	(-.f64 (/.f64 1 (/.f64 -1 z)) y)
▶	18.1b	(-.f64 (fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (log.f64 y) z)))) y)
✓	21.1b	(-.f64 (*.f64 (log.f64 y) x) y)
✓	34.0b	(-.f64 (/.f64 (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 z z)) (fma.f64 (log.f64 y) x z)) y)
	44.5b	(-.f64 (+.f64 0 z) y)
	52.2b	(pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2)
✓	21.4b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)
▶	43.9b	(neg.f64 y)

Compiler

Compiled 339 to 223 computations (34.2% saved)

localize73.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (log.f64 y) z))))
	0.3b	(*.f64 x (pow.f64 (log.f64 y) 2))
	0.5b	(pow.f64 (log.f64 y) 2)
✓	21.6b	(/.f64 (*.f64 z z) (fma.f64 x (log.f64 y) z))

Compiler

Compiled 116 to 34 computations (70.7% saved)

series31.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (log.f64 y) z))))
5.0ms	z	@	0	(fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (log.f64 y) z))))
2.0ms	y	@	inf	(fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (log.f64 y) z))))
2.0ms	y	@	0	(fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (log.f64 y) z))))
2.0ms	x	@	inf	(fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (log.f64 y) z))))

rewrite356.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`log-prod_binary64`
528×	`prod-diff_binary64`
278×	`egg-rr`
246×	`expm1-udef_binary64`
246×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	339	47
2	4077	47

Stop Event

1×	node limit

Counts

2 → 331

Calls

Call 1

Inputs
(/.f64 (*.f64 z z) (fma.f64 x (log.f64 y) z))
(fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (log.f64 y) z))))

Outputs

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simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

700×	`times-frac_binary64`
638×	`fma-def_binary64`
390×	`associate-+l+_binary64`
362×	`associate-/l*_binary64`
326×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1713
1	393	1655
2	1476	1625
3	7957	1625

Stop Event

1×	node limit

Counts

403 → 370

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(-.f64 (+.f64 1 z) 1)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(-.f64 (+.f64 1 z) 1)
0.0ms	z	@	inf	(-.f64 (+.f64 1 z) 1)
0.0ms	z	@	-inf	(-.f64 (+.f64 1 z) 1)

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`pow1_binary64`
521×	`add-log-exp_binary64`
521×	`log1p-expm1-u_binary64`
521×	`expm1-log1p-u_binary64`
513×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	1
2	1663	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 (+.f64 1 z) 1)

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

49 → 38

Calls

Call 1

Inputs
z
z
z
z
z
z
z
z
z
z
z
z

Outputs
z
z
z
z
z
z
z
z
z
z
z
z

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y))) y)
✓	0.3b	(/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y)))
✓	0.4b	(/.f64 (/.f64 1 x) (log.f64 y))

Compiler

Compiled 35 to 21 computations (40% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (/.f64 1 x) (log.f64 y))
1.0ms	y	@	inf	(/.f64 (/.f64 1 x) (log.f64 y))
1.0ms	y	@	-inf	(/.f64 (/.f64 1 x) (log.f64 y))
1.0ms	y	@	0	(/.f64 (/.f64 1 x) (log.f64 y))
1.0ms	x	@	inf	(/.f64 (/.f64 1 x) (log.f64 y))

rewrite181.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`prod-diff_binary64`
488×	`log-prod_binary64`
305×	`pow-prod-down_binary64`
254×	`fma-def_binary64`
253×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	200	24
2	2857	24

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

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

Outputs

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

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

simplify248.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1135×	`fma-neg_binary64`
553×	`fma-def_binary64`
408×	`associate--r-_binary64`
386×	`associate--r+_binary64`
371×	`associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	549
1	57	549
2	109	549
3	238	549
4	536	549
5	1182	549
6	3255	549
7	3943	549
8	4081	549
9	4098	549
10	4108	549
11	4110	549
12	6966	549
13	7666	549
14	7843	549
15	7901	549
16	7913	549
17	7917	549
18	7992	549

Stop Event

1×	node limit

Counts

302 → 241

Calls

Call 1

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

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

localize77.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 8 computations (75% saved)

series9.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	169	23
2	2251	23

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

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

simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

621×	`fma-def_binary64`
582×	`unsub-neg_binary64`
572×	`fma-neg_binary64`
300×	`distribute-rgt-in_binary64`
296×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	429
1	78	429
2	201	397
3	463	397
4	1394	397
5	4203	397
6	7165	397

Stop Event

1×	node limit

Counts

118 → 76

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

eval1.3s (9.9%)

Compiler: Compiled 29680 to 9773 computations (67.1% saved)

prune270.0ms (2.1%)

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	766	7	773
Fresh	3	2	5
Picked	0	1	1
Done	1	10	11
Total	770	20	790

Error

Counts

790 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	21.4b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) y)
✓	21.1b	(-.f64 (/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y))) y)
	40.4b	(-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) y)
	39.6b	(*.f64 (log.f64 y) x)
✓	0.1b	(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
	25.9b	(-.f64 (fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (.f64 (/.f64 z x) (/.f64 z (log.f64 y))))) y)
✓	23.3b	(-.f64 (neg.f64 z) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
✓	41.4b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	23.4b	(-.f64 (/.f64 1 (/.f64 -1 z)) y)
	44.5b	(-.f64 z y)
	29.3b	(-.f64 (+.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 (log.f64 y) -2)) (sqrt.f64 (/.f64 x (fma.f64 x (log.f64 y) z)))) (sqrt.f64 (/.f64 x (fma.f64 x (log.f64 y) z))) (neg.f64 (.f64 z (/.f64 z (fma.f64 x (log.f64 y) z))))) (fma.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)) (*.f64 z (/.f64 z (fma.f64 x (log.f64 y) z))))) y)
✓	21.4b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)
	21.1b	(-.f64 (/.f64 1 (*.f64 (/.f64 1 (log.f64 y)) (/.f64 1 x))) y)
✓	21.1b	(-.f64 (*.f64 (log.f64 y) x) y)
✓	34.0b	(-.f64 (/.f64 (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 z z)) (fma.f64 (log.f64 y) x z)) y)
✓	44.5b	(-.f64 (-.f64 (+.f64 1 z) 1) y)
	47.0b	(-.f64 (/.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z))) y)
	44.1b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) y)
✓	43.9b	(neg.f64 y)

Compiler

Compiled 298 to 181 computations (39.3% saved)

regimes476.0ms (3.6%)

Counts

31 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 z y)
(-.f64 (neg.f64 z) y)
(-.f64 (+.f64 0 z) y)
(-.f64 (-.f64 (+.f64 1 z) 1) y)
(-.f64 (/.f64 1 (/.f64 -1 z)) y)
(-.f64 (/.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z))) y)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) y)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y))) y)
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (log.f64 y)) (/.f64 1 x))) y)
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) y)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2)
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) y)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) y)
(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y)
(-.f64 (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 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) y)
(-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) y)
(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) y)
(-.f64 (/.f64 (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 z z)) (fma.f64 (log.f64 y) x z)) y)
(-.f64 (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) z) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 z 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 (fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (.f64 (/.f64 z x) (/.f64 z (log.f64 y))))) y)
(-.f64 (.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)))) y)
(-.f64 (fma.f64 (/.f64 (.f64 x (pow.f64 (log.f64 y) 2)) 1) (/.f64 x (fma.f64 x (log.f64 y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (log.f64 y) z)))) y)
(-.f64 (.f64 (/.f64 (hypot.f64 (.f64 x (log.f64 y)) (sqrt.f64 (.f64 z (neg.f64 z)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) 2)) (/.f64 (hypot.f64 (.f64 x (log.f64 y)) (sqrt.f64 (*.f64 z (neg.f64 z)))) (cbrt.f64 (fma.f64 x (log.f64 y) z)))) y)
(-.f64 (+.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 (log.f64 y) -2)) (sqrt.f64 (/.f64 x (fma.f64 x (log.f64 y) z)))) (sqrt.f64 (/.f64 x (fma.f64 x (log.f64 y) z))) (neg.f64 (.f64 z (/.f64 z (fma.f64 x (log.f64 y) z))))) (fma.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)) (*.f64 z (/.f64 z (fma.f64 x (log.f64 y) z))))) y)

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

Calls

4 calls:

222.0ms	x
191.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
30.0ms	y
21.0ms	z

Results

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

Compiler

Compiled 453 to 175 computations (61.4% saved)

regimes82.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 z y)
(-.f64 (neg.f64 z) y)
(-.f64 (+.f64 0 z) y)
(-.f64 (-.f64 (+.f64 1 z) 1) y)
(-.f64 (/.f64 1 (/.f64 -1 z)) y)
(-.f64 (/.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z))) y)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) y)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (/.f64 1 (/.f64 (/.f64 1 x) (log.f64 y))) y)
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (log.f64 y)) (/.f64 1 x))) y)

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

Calls

4 calls:

26.0ms	y
17.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
16.0ms	z
16.0ms	x

Results

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

Compiler

Compiled 107 to 65 computations (39.3% saved)

regimes662.0ms (5%)

Counts

9 → 3

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 z y)
(-.f64 (neg.f64 z) y)
(-.f64 (+.f64 0 z) y)
(-.f64 (-.f64 (+.f64 1 z) 1) y)
(-.f64 (/.f64 1 (/.f64 -1 z)) y)
(-.f64 (/.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z))) y)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) y)

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

Calls

3 calls:

292.0ms	x
251.0ms	y
37.0ms	z

Results

Error	Segments	Branch
8.0b	3	`x`
12.1b	11	`y`
7.4b	3	`z`

Compiler

Compiled 66 to 41 computations (37.9% saved)

bsearch125.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
76.0ms	3.4508164751212924e+31	2.2448776724845664e+36
49.0ms	-3.484249825222193e+51	-3.5695843246773256e+46

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes256.0ms (2%)

Counts

8 → 3

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 z y)
(-.f64 (neg.f64 z) y)
(-.f64 (+.f64 0 z) y)
(-.f64 (-.f64 (+.f64 1 z) 1) y)
(-.f64 (/.f64 1 (/.f64 -1 z)) y)
(-.f64 (/.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z))) y)
(*.f64 (log.f64 y) x)

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

Calls

3 calls:

111.0ms	z
104.0ms	y
36.0ms	x

Results

Error	Segments	Branch
10.8b	3	`x`
17.2b	7	`y`
15.0b	7	`z`

Compiler

Compiled 60 to 40 computations (33.3% saved)

bsearch98.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	2.710340997370603e+117	2.683090148576155e+139
57.0ms	-3.1962967626734445e+212	-3.610902875983437e+210

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes70.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 z y)
(-.f64 (neg.f64 z) y)
(-.f64 (+.f64 0 z) y)
(-.f64 (-.f64 (+.f64 1 z) 1) y)
(-.f64 (/.f64 1 (/.f64 -1 z)) y)
(-.f64 (/.f64 1 (/.f64 (+.f64 z 2) (*.f64 (+.f64 z 2) z))) y)

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

Calls

3 calls:

11.0ms	y
11.0ms	z
8.0ms	x

Results

Error	Segments	Branch
23.3b	1	`x`
23.3b	1	`y`
23.3b	1	`z`

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.7b remaining (-1.5%)

Threshold costs -0.7b (-1.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(neg.f64 y)

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	z

Results

Error	Segments	Branch
43.9b	1	`x`
43.9b	1	`y`
43.9b	1	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	96
1	41	96
2	52	96
3	59	96
4	61	96
5	62	96

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(if (<=.f64 z -3484249825222192997207972193783863461777737242378240) (-.f64 (neg.f64 z) y) (if (<=.f64 z 34508164751212923960909512048640) (-.f64 (*.f64 (log.f64 y) x) y) (-.f64 (neg.f64 z) y)))
(if (<=.f64 x -319629676267344451519713394553673917728505707141116034883480191988024998832793635272777551780287896864288297414810825134951720696301241814546629930903082998726621330685267297276418752012587861765501980642075738112) (.f64 (log.f64 y) x) (if (<=.f64 x 2710340997370603105077039265129714019154818292313562794924342434268835893136099566048152183371789764940917250841378816) (-.f64 (neg.f64 z) y) (.f64 (log.f64 y) x)))
(-.f64 (neg.f64 z) y)
(neg.f64 y)

Outputs
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y)
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)
(if (<=.f64 z -3484249825222192997207972193783863461777737242378240) (-.f64 (neg.f64 z) y) (if (<=.f64 z 34508164751212923960909512048640) (-.f64 (*.f64 (log.f64 y) x) y) (-.f64 (neg.f64 z) y)))
(if (<=.f64 x -319629676267344451519713394553673917728505707141116034883480191988024998832793635272777551780287896864288297414810825134951720696301241814546629930903082998726621330685267297276418752012587861765501980642075738112) (.f64 (log.f64 y) x) (if (<=.f64 x 2710340997370603105077039265129714019154818292313562794924342434268835893136099566048152183371789764940917250841378816) (-.f64 (neg.f64 z) y) (.f64 (log.f64 y) x)))
(-.f64 (neg.f64 z) y)
(neg.f64 y)

Compiler

Compiled 82 to 50 computations (39% saved)

soundness297.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 18 to 12 computations (33.3% saved)

end40.0ms (0.3%)

Compiler: Compiled 67 to 25 computations (62.7% saved)