Details

analyze247.0ms (2.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	46.8%	53.2%	7
3.1%	40.5%	56.3%	8
3.1%	32.7%	64.1%	9
4.7%	28.3%	67.1%	10
7%	23%	70%	11
10.5%	18.9%	70.6%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample2.1s (23.3%)

Results

1.9s	8256×	body	256	valid
235.0ms	1504×	body	256	invalid

preprocess214.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

3534×	`fma-neg_binary64`
720×	`sub-neg_binary64`
670×	`fma-def_binary64`
662×	`unsub-neg_binary64`
412×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	119
1	97	119
2	315	119
3	945	105
4	2438	105
5	5226	105
6	6899	105
7	7377	105
8	7548	105
9	7583	105
10	7612	105
11	7684	105
12	7684	105
13	7684	105
14	7684	105
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify244.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2537×	`fma-neg_binary64`
490×	`associate--r-_binary64`
462×	`associate--l-_binary64`
401×	`distribute-rgt-in_binary64`
373×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	22	17
2	59	17
3	163	15
4	411	15
5	928	15
6	1381	15
7	1836	15
8	2117	15
9	2987	15
10	4794	15
11	5205	15
12	5297	15
13	5307	15
14	5313	15
15	5315	15
16	5403	15
17	5595	15
18	5725	15
19	5811	15
20	5821	15
21	5821	15

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 25 to 13 computations (48% 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 (*.f64 x (log.f64 y)) y) z) (log.f64 t))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 41 to 10 computations (75.6% saved)

series134.0ms (1.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
62.0ms	y	@	inf	(*.f64 x (log.f64 y))
33.0ms	x	@	0	(*.f64 x (log.f64 y))
19.0ms	y	@	0	(*.f64 x (log.f64 y))
17.0ms	y	@	-inf	(*.f64 x (log.f64 y))
1.0ms	x	@	inf	(*.f64 x (log.f64 y))

rewrite73.0ms (0.8%)

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

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

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

simplify187.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1135×	`fma-neg_binary64`
559×	`fma-def_binary64`
408×	`associate--r-_binary64`
387×	`associate--r+_binary64`
369×	`associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	333
1	48	333
2	95	333
3	221	333
4	495	333
5	1118	333
6	3178	333
7	3865	333
8	4000	333
9	4017	333
10	4027	333
11	4029	333
12	6885	333
13	7581	333
14	7765	333
15	7823	333
16	7835	333
17	7839	333
18	7912	333

Stop Event

1×	node limit

Counts

96 → 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 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 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.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)

eval13.0ms (0.1%)

Compiler: Compiled 966 to 359 computations (62.8% saved)

prune16.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Error

0.1b

Counts

58 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
▶	24.3b	(+.f64 (-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) y) z) (log.f64 t))
▶	48.1b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 2) z) (log.f64 t))
▶	0.9b	(+.f64 (-.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 3) z) (log.f64 t))
▶	20.0b	(+.f64 (-.f64 (neg.f64 y) z) (log.f64 t))
▶	0.1b	(+.f64 (-.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) y) z) (log.f64 t))

Compiler

Compiled 183 to 132 computations (27.9% saved)

localize72.0ms (0.8%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 70 to 46 computations (34.3% saved)

series143.0ms (1.6%)

Counts

3 → 40

Calls

15 calls:

Time	Variable		Point	Expression
130.0ms	x	@	0	(*.f64 (log.f64 (/.f64 1 y)) x)
8.0ms	y	@	-inf	(*.f64 (log.f64 (/.f64 1 y)) x)
1.0ms	x	@	inf	(*.f64 (log.f64 (/.f64 1 y)) x)
0.0ms	y	@	-inf	(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) y)
0.0ms	x	@	-inf	(*.f64 (log.f64 (/.f64 1 y)) x)

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
845×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	205	24
2	2636	24

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

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

Outputs

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

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

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

simplify261.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1458×	`distribute-rgt-in_binary64`
701×	`fma-neg_binary64`
653×	`fma-def_binary64`
644×	`unsub-neg_binary64`
558×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	293
1	56	293
2	141	293
3	391	293
4	772	293
5	1488	293
6	2290	293
7	2688	293
8	3640	293
9	4233	293
10	4856	293
11	5049	293
12	5101	293
13	5120	293
14	5124	293
15	5852	293
16	6750	293
17	7049	293
18	7187	293
19	7279	293
20	7279	293
21	7279	293

Stop Event

1×	node limit

Counts

121 → 93

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

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

localize160.0ms (1.8%)

Compiler: Compiled 22 to 8 computations (63.6% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) y)
✓	0.2b	(pow.f64 (*.f64 x (log.f64 y)) 3)
	0.3b	(*.f64 x (log.f64 y))
✓	41.4b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))

Compiler

Compiled 64 to 28 computations (56.3% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	680
1	102	671
2	336	671
3	1409	671
4	4199	671

Stop Event

1×	node limit

Counts

163 → 105

Calls

Call 1

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

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
	0.3b	(*.f64 x (log.f64 y))
✓	0.5b	(cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) y))
✓	0.7b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 3)

Compiler

Compiled 64 to 19 computations (70.3% saved)

series22.0ms (0.2%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 3)
5.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 3)
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 3)
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 3)

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
787×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	195	20
2	2233	20

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

624×	`unswap-sqr_binary64`
469×	`distribute-lft-in_binary64`
469×	`distribute-rgt-in_binary64`
400×	`associate-+l+_binary64`
391×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	1903
1	678	1673
2	2575	1659
3	7521	1654

Stop Event

1×	node limit

Counts

81 → 97

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
✓	0.0b	(sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y))
✓	0.1b	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 2)
	0.3b	(*.f64 x (log.f64 y))

Compiler

Compiled 64 to 19 computations (70.3% saved)

series24.0ms (0.3%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 2)
3.0ms	y	@	0	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 2)
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 2)
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)) 2)

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`pow1_binary64`
785×	`add-log-exp_binary64`
784×	`log1p-expm1-u_binary64`
784×	`expm1-log1p-u_binary64`
767×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	193	20
2	2182	20

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

515×	`fma-def_binary64`
492×	`associate-r_binary64`
476×	`times-frac_binary64`
455×	`associate-l_binary64`
427×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	624
1	365	558
2	1389	494
3	7774	494

Stop Event

1×	node limit

Counts

79 → 88

Calls

Call 1

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

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

eval431.0ms (4.8%)

Compiler: Compiled 12459 to 5959 computations (52.2% saved)

prune100.0ms (1.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	499	12	511
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	502	15	517

Error

0.0b

Counts

517 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	29.4b	(+.f64 (-.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 y -2))) (log.f64 (/.f64 1 (cbrt.f64 y)))) x)) y) z) (log.f64 t))
▶	32.1b	(+.f64 (-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) y) z) (log.f64 t))
▶	0.4b	(+.f64 (-.f64 (-.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3) x)) y) z) (log.f64 t))
▶	20.2b	(+.f64 (-.f64 (*.f64 (log.f64 y) x) z) (log.f64 t))
	48.2b	(+.f64 (-.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x (log.f64 y)) y)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)))) 2) z) (log.f64 t))
	43.8b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) z) (log.f64 t))
✓	20.0b	(+.f64 (-.f64 (neg.f64 y) z) (log.f64 t))
	20.2b	(+.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z) (log.f64 t))
	48.1b	(+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x (log.f64 y)) y)) (cbrt.f64 (-.f64 (.f64 x (log.f64 y)) y))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)))) z) (log.f64 t))
	31.1b	(+.f64 (-.f64 (-.f64 (.f64 -1 (pow.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 y)) x)) 2)) y) z) (log.f64 t))
✓	0.1b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
✓	24.3b	(+.f64 (-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) y) z) (log.f64 t))
	48.1b	(+.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 x (log.f64 y)) y) 1/4) (.f64 (pow.f64 (-.f64 (.f64 x (log.f64 y)) y) 1/4) (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)))) z) (log.f64 t))
▶	28.6b	(+.f64 (-.f64 (-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) y) z) (log.f64 t))
▶	20.5b	(+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) z) (log.f64 t))

Compiler

Compiled 570 to 371 computations (34.9% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3) x)) y)
✓	0.3b	(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3) x)
✓	0.5b	(cbrt.f64 (neg.f64 (log.f64 y)))
✓	0.7b	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3)

Compiler

Compiled 88 to 41 computations (53.4% saved)

series23.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3)
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3)
3.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3)
2.0ms	y	@	0	(-.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3) x)) y)
1.0ms	x	@	0	(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3) x)

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

953×	`pow1_binary64`
892×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
116×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	259	23
2	3102	23

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 y) 2)) (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 y)) (log.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (neg.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 y) 1/6) (.f64 (pow.f64 (log.f64 y) 1/6) (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 y)) (neg.f64 (sqrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) 3) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (log.f64 y) 1/6) 3) (pow.f64 (pow.f64 (log.f64 y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (pow.f64 (log.f64 y) 1/6)) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 y) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 y) 2) (.f64 0 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 y) 2)) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 y) 1/6) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 -1 1/3) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 y)) 1/3) (pow.f64 (sqrt.f64 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 neg.f64 (.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.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)) (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)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (log.f64 y) x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.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))) (-.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 (neg.f64 y) 3)) (+.f64 (pow.f64 (.f64 (log.f64 y) x) 2) (-.f64 (.f64 (neg.f64 y) (neg.f64 y)) (.f64 y (.f64 (log.f64 y) x)))))))) (#(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 neg.f64 (fma.f64 (log.f64 y) x y))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 (log.f64 y) x) 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 -1 (.f64 (log.f64 y) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 y) x) -1 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (log.f64 y) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) x) 2)) (cbrt.f64 (.f64 (log.f64 y) x)) (neg.f64 y))))) (#(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))))))

simplify140.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1221×	`fma-neg_binary64`
651×	`fma-def_binary64`
432×	`unswap-sqr_binary64`
334×	`*-commutative_binary64`
276×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	581
1	131	581
2	280	581
3	697	581
4	1793	581
5	3157	581
6	5480	581
7	6255	581
8	6460	581
9	6624	581
10	6816	581
11	7502	581

Stop Event

1×	node limit

Counts

184 → 130

Calls

Call 1

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 9 computations (71% saved)

series59.0ms (0.7%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
17.0ms	t	@	0	(+.f64 (-.f64 (*.f64 (log.f64 y) x) z) (log.f64 t))
14.0ms	y	@	0	(+.f64 (-.f64 (*.f64 (log.f64 y) x) z) (log.f64 t))
11.0ms	t	@	inf	(+.f64 (-.f64 (*.f64 (log.f64 y) x) z) (log.f64 t))
8.0ms	t	@	-inf	(+.f64 (-.f64 (*.f64 (log.f64 y) x) z) (log.f64 t))
3.0ms	z	@	0	(+.f64 (-.f64 (*.f64 (log.f64 y) x) z) (log.f64 t))

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`log-prod_binary64`
523×	`fma-def_binary64`
370×	`pow-prod-down_binary64`
303×	`fma-neg_binary64`
297×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	215	20
2	3047	18

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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

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

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

691×	`unsub-neg_binary64`
570×	`sub-neg_binary64`
556×	`fma-def_binary64`
370×	`distribute-neg-in_binary64`
366×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	625
1	96	625
2	205	585
3	579	585
4	1719	585
5	4702	585
6	6086	585
7	7228	585
8	7839	585
9	7914	585

Stop Event

1×	node limit

Counts

166 → 126

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) z) (log.f64 t))
	0.3b	(*.f64 (log.f64 y) x)
✓	0.6b	(cbrt.f64 (*.f64 (log.f64 y) x))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)

Compiler

Compiled 50 to 18 computations (64% saved)

series25.0ms (0.3%)

Counts

3 → 63

Calls

24 calls:

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

rewrite241.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
605×	`fma-def_binary64`
364×	`fma-neg_binary64`
338×	`pow2_binary64`
231×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	284	28
2	3573	26

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-def_binary64`
598×	`unsub-neg_binary64`
558×	`fma-neg_binary64`
500×	`sub-neg_binary64`
418×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	763
1	141	625
2	317	625
3	835	625
4	2307	625
5	5482	625
6	7015	625

Stop Event

1×	node limit

Counts

224 → 180

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

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

localize19.0ms (0.2%)

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 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.2b	(*.f64 (log.f64 y) (sqrt.f64 x))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series8.0ms (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	x	@	inf	(*.f64 (log.f64 y) (sqrt.f64 x))

rewrite69.0ms (0.8%)

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 (log.f64 y) (sqrt.f64 x))
(.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (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) (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 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 (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))))))

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-def_binary64`
582×	`unsub-neg_binary64`
576×	`fma-neg_binary64`
303×	`distribute-rgt-in_binary64`
295×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	429
1	78	429
2	203	397
3	472	397
4	1397	397
5	4210	397
6	7189	397

Stop Event

1×	node limit

Counts

118 → 77

Calls

Call 1

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 69 to 12 computations (82.6% saved)

series6.0ms (0.1%)

Counts

3 → 56

Calls

15 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`pow1_binary64`
563×	`add-log-exp_binary64`
563×	`log1p-expm1-u_binary64`
563×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	136	19
2	1596	19

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

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

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

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

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

simplify198.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

959×	`fma-neg_binary64`
877×	`fma-def_binary64`
413×	`unsub-neg_binary64`
396×	`associate--r-_binary64`
354×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	468
1	50	464
2	82	464
3	158	432
4	298	432
5	761	432
6	2092	432
7	3337	432
8	3989	432
9	4064	432
10	4090	432
11	4096	432
12	6786	432
13	7598	432
14	7880	432
15	7972	432
16	7984	432
17	7988	432

Stop Event

1×	node limit

Counts

98 → 54

Calls

Call 1

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

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

eval178.0ms (2%)

Compiler: Compiled 10360 to 3847 computations (62.9% saved)

prune128.0ms (1.4%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	602	12	614
Fresh	3	4	7
Picked	1	0	1
Done	2	5	7
Total	608	21	629

Error

0.0b

Counts

629 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	20.5b	(+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) z) (log.f64 t))
✓	0.4b	(+.f64 (-.f64 (-.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3) x)) y) z) (log.f64 t))
✓	20.2b	(+.f64 (-.f64 (*.f64 (log.f64 y) x) z) (log.f64 t))
	40.1b	(-.f64 (log.f64 t) z)
	43.8b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) z) (log.f64 t))
	28.7b	(+.f64 (-.f64 (-.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (log.f64 y) 3/2) 1/3)) (sqrt.f64 (log.f64 y))) y) z) (log.f64 t))
▶	20.4b	(+.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (cbrt.f64 (log.f64 y))) (cbrt.f64 x)) z) (log.f64 t))
✓	20.0b	(+.f64 (-.f64 (neg.f64 y) z) (log.f64 t))
	43.2b	(*.f64 (log.f64 y) x)
	48.1b	(+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x (log.f64 y)) y)) (cbrt.f64 (-.f64 (.f64 x (log.f64 y)) y))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)))) z) (log.f64 t))
▶	31.1b	(+.f64 (-.f64 (-.f64 (.f64 -1 (pow.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 y)) x)) 2)) y) z) (log.f64 t))
	48.7b	(+.f64 (-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) z) (log.f64 t))
✓	20.5b	(+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) z) (log.f64 t))
▶	20.2b	(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (log.f64 t)) z)
	42.9b	(+.f64 (-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z) (log.f64 t))
	48.1b	(+.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 x (log.f64 y)) y) 1/4) (.f64 (pow.f64 (-.f64 (.f64 x (log.f64 y)) y) 1/4) (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)))) z) (log.f64 t))
▶	46.1b	(neg.f64 z)
▶	0.4b	(+.f64 (-.f64 (-.f64 (.f64 -1 (.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (neg.f64 (cbrt.f64 (log.f64 y)))) x)) y) z) (log.f64 t))
	40.4b	(+.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) z) (log.f64 t))
	36.9b	(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
✓	0.1b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))

Compiler

Compiled 666 to 443 computations (33.5% saved)

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 117 to 49 computations (58.1% saved)

series9.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`pow1_binary64`
645×	`add-log-exp_binary64`
644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
630×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	204	22
2	2410	22

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 y) 1/6) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 y) 1/6) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 y) 1/6) (neg.f64 (pow.f64 (log.f64 y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log.f64 y)) 1/3) (pow.f64 (sqrt.f64 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (log.f64 y) 1/6)) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (pow.f64 (log.f64 y) 1/6)) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 y) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 0 (cbrt.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 y)) (log.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 y) 2)) (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (pow.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (pow.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.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 (log.f64 (pow.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.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 (log.f64 (pow.f64 y x))))))))

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-neg_binary64`
548×	`fma-def_binary64`
492×	`unswap-sqr_binary64`
386×	`unsub-neg_binary64`
371×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	476
1	104	468
2	219	468
3	622	468
4	2315	468
5	5535	468

Stop Event

1×	node limit

Counts

141 → 96

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (log.f64 t)) z)
	0.0b	(log.f64 (/.f64 1 y))
✓	0.0b	(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (log.f64 t))
	0.3b	(*.f64 (log.f64 (/.f64 1 y)) x)

Compiler

Compiled 57 to 37 computations (35.1% saved)

series17.0ms (0.2%)

Counts

2 → 70

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	t	@	0	(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (log.f64 t))
2.0ms	z	@	0	(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (log.f64 t)) z)
0.0ms	t	@	inf	(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (log.f64 t))
0.0ms	y	@	-inf	(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (log.f64 t))
0.0ms	y	@	0	(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (log.f64 t))

rewrite105.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`fma-def_binary64`
655×	`log-prod_binary64`
367×	`fma-neg_binary64`
244×	`pow1/3_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	293	27
2	3985	21

Stop Event

1×	node limit

Counts

2 → 263

Calls

Call 1

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

Outputs

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

simplify428.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2031×	`associate--r-_binary64`
757×	`fma-def_binary64`
744×	`unsub-neg_binary64`
665×	`fma-neg_binary64`
524×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	806
1	101	798
2	244	782
3	826	774
4	2344	766
5	4747	766
6	5842	766
7	6892	766
8	7451	766
9	7492	766
10	7495	766
11	7495	766
12	7609	766
13	7727	766
14	7755	766
15	7771	766
16	7791	766
17	7799	766
18	7806	766
19	7806	766
20	7878	766
21	7907	766
22	7907	766

Stop Event

1×	node limit

Counts

333 → 283

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 -1 (pow.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 y)) x)) 2)) y)
✓	0.1b	(sqrt.f64 (*.f64 (neg.f64 (log.f64 y)) x))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 y)) x)) 2)
✓	0.3b	(*.f64 (neg.f64 (log.f64 y)) x)

Compiler

Compiled 89 to 35 computations (60.7% saved)

series16.0ms (0.2%)

Counts

4 → 72

Calls

24 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`pow1_binary64`
869×	`add-log-exp_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
115×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	258	29
2	3035	29

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

Inputs
(*.f64 (neg.f64 (log.f64 y)) x)
(pow.f64 (sqrt.f64 (*.f64 (neg.f64 (log.f64 y)) x)) 2)
(sqrt.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(-.f64 (.f64 -1 (pow.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 y)) x)) 2)) y)

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

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

517×	`unsub-neg_binary64`
420×	`associate-l_binary64`
397×	`fma-neg_binary64`
377×	`sub-neg_binary64`
372×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	881
1	106	678
2	299	629
3	831	629
4	2763	629
5	5140	629
6	7481	629

Stop Event

1×	node limit

Counts

200 → 133

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

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 94 to 31 computations (67% saved)

series5.0ms (0.1%)

Counts

2 → 12

Calls

9 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`pow1_binary64`
644×	`add-log-exp_binary64`
644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	175	14
2	1867	14

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

777×	`unsub-neg_binary64`
675×	`distribute-rgt-in_binary64`
556×	`distribute-lft-in_binary64`
542×	`unswap-sqr_binary64`
486×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	208
1	74	200
2	167	200
3	682	200
4	2115	200
5	6748	200

Stop Event

1×	node limit

Counts

49 → 42

Calls

Call 1

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

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

eval191.0ms (2.1%)

Compiler: Compiled 13357 to 5348 computations (60% saved)

prune116.0ms (1.3%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	696	7	703
Fresh	2	9	11
Picked	0	1	1
Done	4	5	9
Total	702	22	724

Error

0.0b

Counts

724 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	20.5b	(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 3) x)) (log.f64 t)) z)
✓	46.1b	(neg.f64 z)
	26.5b	(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) z)
	35.7b	(+.f64 (-.f64 (-.f64 (.f64 -1 (.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (neg.f64 (.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)))) x)) y) z) (log.f64 t))
	20.5b	(+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) z) (log.f64 t))
	40.1b	(-.f64 (log.f64 t) z)
	36.0b	(+.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2)) (cbrt.f64 (log.f64 y))) (cbrt.f64 x)) z) (log.f64 t))
	28.7b	(+.f64 (-.f64 (-.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (log.f64 y) 3/2) 1/3)) (sqrt.f64 (log.f64 y))) y) z) (log.f64 t))
✓	20.4b	(+.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (cbrt.f64 (log.f64 y))) (cbrt.f64 x)) z) (log.f64 t))
✓	20.0b	(+.f64 (-.f64 (neg.f64 y) z) (log.f64 t))
	48.7b	(+.f64 (-.f64 (.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y))) z) (log.f64 t))
✓	20.5b	(+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) z) (log.f64 t))
	48.1b	(+.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 x (log.f64 y)) y) 1/4) (.f64 (pow.f64 (-.f64 (.f64 x (log.f64 y)) y) 1/4) (sqrt.f64 (-.f64 (*.f64 x (log.f64 y)) y)))) z) (log.f64 t))
	40.4b	(-.f64 (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 (.f64 (neg.f64 (log.f64 y)) x)) 2)) (log.f64 t)) z)
	26.5b	(-.f64 (*.f64 x (log.f64 y)) z)
✓	0.4b	(+.f64 (-.f64 (-.f64 (.f64 -1 (.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (neg.f64 (cbrt.f64 (log.f64 y)))) x)) y) z) (log.f64 t))
	40.4b	(+.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) z) (log.f64 t))
	43.8b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) z) (log.f64 t))
	36.9b	(+.f64 (*.f64 (log.f64 y) x) (log.f64 t))
	43.2b	(*.f64 (log.f64 y) x)
✓	0.1b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
	42.9b	(+.f64 (-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z) (log.f64 t))

Compiler

Compiled 384 to 271 computations (29.4% saved)

regimes181.0ms (2%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

9 calls:

21.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
20.0ms	z
19.0ms	y
18.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
18.0ms	(log.f64 t)

Results

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

Compiler

Compiled 608 to 277 computations (54.4% saved)

regimes63.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
8.0ms	t
8.0ms	y
7.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
7.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))

Results

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

Compiler

Compiled 157 to 89 computations (43.3% saved)

regimes149.0ms (1.7%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

41.0ms	t
39.0ms	(log.f64 t)
32.0ms	z
22.0ms	x
12.0ms	y

Results

Error	Segments	Branch
5.5b	3	`x`
7.6b	2	`y`
13.6b	6	`z`
12.0b	8	`t`
12.0b	8	`(log.f64 t)`

Compiler

Compiled 83 to 45 computations (45.8% saved)

bsearch182.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
123.0ms	5.507201646675897e+70	8.585050805593847e+74
59.0ms	-1.846257783200069e+61	-9.765794224436733e+59

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes35.0ms (0.4%)

Accuracy

Total -42.1b remaining (-204.3%)

Threshold costs -42.1b (-204.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	x
7.0ms	z
4.0ms	y
4.0ms	(log.f64 t)
4.0ms	t

Results

Error	Segments	Branch
20.6b	3	`x`
26.5b	1	`y`
26.5b	1	`z`
26.5b	1	`t`
26.5b	1	`(log.f64 t)`

Compiler

Compiled 50 to 32 computations (36% saved)

bsearch90.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	5564.6116445703665	279021802.6518494
31.0ms	-450.5615195431847	-0.007826342352557506

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

25×	`+-commutative_binary64`
18×	`sub-neg_binary64`
11×	`*-commutative_binary64`
10×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	129
1	67	129
2	92	127
3	120	125
4	137	125
5	144	125
6	145	125

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) y) z) (log.f64 t))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
(if (<=.f64 x -18462577832000689003044646620577596778489796798365166586560512) (+.f64 (-.f64 (.f64 (log.f64 y) x) z) (log.f64 t)) (if (<=.f64 x 55072016466758972585201819865043222119228922821133754317670866971787264) (+.f64 (-.f64 (neg.f64 y) z) (log.f64 t)) (-.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) z)))
(if (<=.f64 x -7926362076258481/17592186044416) (-.f64 (.f64 x (log.f64 y)) z) (if (<=.f64 x 47799650056741/8589934592) (-.f64 (log.f64 t) z) (-.f64 (.f64 x (log.f64 y)) z)))
(neg.f64 z)

Outputs
(+.f64 (-.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) y) z) (log.f64 t))
(+.f64 (-.f64 (-.f64 (neg.f64 (*.f64 (log.f64 (/.f64 1 y)) x)) y) z) (log.f64 t))
(+.f64 (-.f64 (-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 1 y)))) y) z) (log.f64 t))
(-.f64 (log.f64 t) (+.f64 z (+.f64 y (*.f64 (log.f64 (/.f64 1 y)) x))))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
(+.f64 (log.f64 t) (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z))
(if (<=.f64 x -18462577832000689003044646620577596778489796798365166586560512) (+.f64 (-.f64 (.f64 (log.f64 y) x) z) (log.f64 t)) (if (<=.f64 x 55072016466758972585201819865043222119228922821133754317670866971787264) (+.f64 (-.f64 (neg.f64 y) z) (log.f64 t)) (-.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) z)))
(if (<=.f64 x -18462577832000689003044646620577596778489796798365166586560512) (+.f64 (log.f64 t) (-.f64 (.f64 x (log.f64 y)) z)) (if (<=.f64 x 55072016466758972585201819865043222119228922821133754317670866971787264) (+.f64 (log.f64 t) (-.f64 (neg.f64 y) z)) (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 1 y)) x)) z)))
(if (<=.f64 x -18462577832000689003044646620577596778489796798365166586560512) (+.f64 (log.f64 t) (-.f64 (.f64 x (log.f64 y)) z)) (if (<=.f64 x 55072016466758972585201819865043222119228922821133754317670866971787264) (+.f64 (log.f64 t) (-.f64 (neg.f64 y) z)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 1 y)))) z)))
(if (<=.f64 x -18462577832000689003044646620577596778489796798365166586560512) (+.f64 (log.f64 t) (-.f64 (.f64 x (log.f64 y)) z)) (if (<=.f64 x 55072016466758972585201819865043222119228922821133754317670866971787264) (-.f64 (log.f64 t) (+.f64 y z)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 1 y)))) z)))
(if (<=.f64 x -7926362076258481/17592186044416) (-.f64 (.f64 x (log.f64 y)) z) (if (<=.f64 x 47799650056741/8589934592) (-.f64 (log.f64 t) z) (-.f64 (.f64 x (log.f64 y)) z)))
(neg.f64 z)

Compiler

Compiled 102 to 65 computations (36.3% saved)

soundness0.0ms (0%)

end144.0ms (1.6%)

Compiler: Compiled 86 to 41 computations (52.3% saved)