Details

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	25%	25%	0%	3
50%	25%	25%	0%	25%	25%	0%	4
75%	37.5%	12.5%	0%	25%	25%	0%	5
87.5%	43.7%	6.2%	0%	25%	25%	0%	6
93.8%	46.9%	3.1%	0%	25%	25%	0%	7
96.9%	48.4%	1.6%	0%	25%	25%	0%	8
98.4%	49.2%	0.8%	0%	25%	25%	0%	9
99.2%	49.6%	0.4%	0%	25%	25%	0%	10
99.6%	49.8%	0.2%	0%	25%	25%	0%	11
99.8%	49.9%	0.1%	0%	25%	25%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.6s (39.3%)

Results

2.3s	4195×	body	1024	valid
717.0ms	2038×	body	512	valid
316.0ms	402×	body	2048	valid
237.0ms	1621×	body	256	valid
0.0ms	4×	body	256	invalid

Bogosity

preprocess299.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

781×	`fma-neg_binary64`
596×	`distribute-rgt-in_binary64`
596×	`unsub-neg_binary64`
511×	`fma-def_binary64`
419×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	20	13
2	28	13
3	43	13
4	73	13
5	109	13
6	153	13
7	272	13
8	591	13
9	1042	13
10	1481	13
11	1877	13
12	2081	13
13	2223	13
14	2569	13
15	3712	13
16	4950	13
17	5726	13
18	6008	13
19	6104	13
20	6224	13
21	6262	13
22	6686	13
23	7128	13
24	7436	13
25	7544	13
26	7592	13
27	7612	13
28	7620	13
29	7620	13
30	7620	13
31	7980	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify286.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-neg_binary64`
596×	`distribute-rgt-in_binary64`
596×	`unsub-neg_binary64`
511×	`fma-def_binary64`
419×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	20	13
2	28	13
3	43	13
4	73	13
5	109	13
6	153	13
7	272	13
8	591	13
9	1042	13
10	1481	13
11	1877	13
12	2081	13
13	2223	13
14	2569	13
15	3712	13
16	4950	13
17	5726	13
18	6008	13
19	6104	13
20	6224	13
21	6262	13
22	6686	13
23	7128	13
24	7436	13
25	7544	13
26	7592	13
27	7612	13
28	7620	13
29	7620	13
30	7620	13
31	7980	13

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

eval1.0ms (0%)

Compiler: Compiled 21 to 17 computations (19% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	58.5b	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms	x	@	0	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms	x	@	-inf	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`pow1_binary64`
484×	`add-log-exp_binary64`
484×	`expm1-log1p-u_binary64`
482×	`log1p-expm1-u_binary64`
475×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	130	8
2	1865	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

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

Outputs

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

829×	`fma-def_binary64`
624×	`unswap-sqr_binary64`
565×	`associate-/r*_binary64`
503×	`associate-/l/_binary64`
384×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	177
1	109	174
2	258	174
3	593	174
4	1163	174
5	2767	174
6	7370	174

Stop Event

1×	node limit

Counts

47 → 57

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(*.f64 -1 (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (*.f64 2 x))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7)))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 x)))
(fma.f64 -1 (log.f64 -1) (/.f64 2 x))
(-.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 -1 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (-.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.f64 (/.f64 2/5 (pow.f64 x 5)) (log.f64 -1))))
(-.f64 (/.f64 2 x) (-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (/.f64 -2/5 (pow.f64 x 5))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 -2/5 (pow.f64 x 5))))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
✓	6.4b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Compiler

Compiled 40 to 31 computations (22.5% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 1 x) (-.f64 1 x))
1.0ms	x	@	0	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms	x	@	inf	(/.f64 (+.f64 1 x) (-.f64 1 x))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
786×	`log1p-expm1-u_binary64`
786×	`expm1-log1p-u_binary64`
785×	`add-log-exp_binary64`
771×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	151	20
2	2079	20

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

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

Outputs

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

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

843×	`fma-def_binary64`
834×	`fma-neg_binary64`
586×	`associate-/r*_binary64`
560×	`times-frac_binary64`
548×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	319
1	154	307
2	437	301
3	1298	298
4	3752	294

Stop Event

1×	node limit

Counts

86 → 90

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1))
(fma.f64 2 (fma.f64 x (fma.f64 x x x) x) 1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 -2 x) (-.f64 -1 (/.f64 (/.f64 2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 2 (/.f64 2 x)) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 -2 x) (-.f64 -1 (/.f64 (/.f64 2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 2 (/.f64 2 x)) 1))

eval47.0ms (0.5%)

Compiler: Compiled 2331 to 1600 computations (31.4% saved)

prune23.0ms (0.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	142	5	147
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	142	7	149

Error

Counts

149 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	0.1b	(.f64 1/2 (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
▶	0.0b	(.f64 1/2 (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
▶	0.1b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶	0.5b	(.f64 1/2 (.f64 2 x))
▶	58.6b	(*.f64 (/.f64 1 2) (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))
✓	58.5b	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 150 to 124 computations (17.3% saved)

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
✓	0.1b	(*.f64 2/5 (pow.f64 x 5))
✓	0.1b	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 70 to 56 computations (20% saved)

series5.0ms (0.1%)

Counts

3 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 2/3 (pow.f64 x 3))
1.0ms	x	@	0	(*.f64 2/3 (pow.f64 x 3))
1.0ms	x	@	0	(*.f64 2/5 (pow.f64 x 5))
1.0ms	x	@	inf	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
1.0ms	x	@	inf	(*.f64 2/3 (pow.f64 x 3))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
363×	`exp-prod_binary64`
316×	`prod-exp_binary64`
309×	`fma-def_binary64`
285×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	247	28
2	2871	28

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log1p.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -1/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -1/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 8/27)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -1/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -1/3)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/5 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 4/25) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/5) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 8/125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 x) (log1p.f64 -3/5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -3/5))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -3/5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -3/5)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -3/5))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 4/25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 8/125))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -3/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -3/5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2/5) (pow.f64 x 5/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 15) 8/125)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -3/5)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -3/5)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 4/9) (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2/5 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 x 10) 4/25) (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 9) 8/27 (*.f64 (pow.f64 x 15) 8/125)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (pow.f64 x 10) 4/25)) (*.f64 2/3 (*.f64 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 10) 4/25)) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (pow.f64 x 10) 4/25)) (*.f64 2/3 (*.f64 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) (fma.f64 (pow.f64 x 9) 8/27 (*.f64 (pow.f64 x 15) 8/125))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2/5 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 10) 4/25))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) 8/27 (*.f64 (pow.f64 x 15) 8/125)) (-.f64 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (pow.f64 x 10) 4/25)) (*.f64 2/3 (*.f64 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) 8/27 (*.f64 (pow.f64 x 15) 8/125)) (fma.f64 (pow.f64 x 10) 4/25 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 2/3 (*.f64 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 10) 4/25)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 9) 8/27 (*.f64 (pow.f64 x 15) 8/125))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (pow.f64 x 10) 4/25)) (*.f64 2/3 (*.f64 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 10) 4/25))) (neg.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/25) (*.f64 (pow.f64 x 6) 4/9)) (-.f64 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (pow.f64 x 10) 4/25)) (*.f64 2/3 (*.f64 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) (fma.f64 (pow.f64 x 9) 8/27 (*.f64 (pow.f64 x 15) 8/125))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2/5 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 10) 4/25))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 2)) (cbrt.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))) (sqrt.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) (pow.f64 (exp.f64 2/5) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 x 5)))) (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) 2/3) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (pow.f64 x 3)) 1 (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 2/5 (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/5 (pow.f64 x 5)) 1 (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 2/3) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 2/5) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 4/25)) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/25)) (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/5) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 2/5) (pow.f64 x 5/2)) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/5) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 x) (*.f64 x x) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (*.f64 x x)) x (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/5 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/5 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 2/3 (pow.f64 x 3)))))))

simplify139.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
681×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	27	63
2	56	63
3	111	63
4	229	63
5	671	63
6	981	63
7	1617	63
8	1725	63
9	1887	63
10	2100	63
11	2430	63
12	2886	63
13	3484	63
14	4237	63
15	5173	63
16	5683	63
17	6171	63
18	6569	63
19	6889	63
20	7051	63

Stop Event

1×	node limit

Counts

125 → 122

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/5 (pow.f64 x 5))
(*.f64 2/5 (pow.f64 x 5))

Outputs
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(*.f64 2/5 (pow.f64 x 5))
(*.f64 2/5 (pow.f64 x 5))

localize5.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (fma.f64 2/3 (.f64 x x) 2))

Compiler

Compiled 32 to 18 computations (43.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (fma.f64 2/3 (.f64 x x) 2))
1.0ms	x	@	inf	(.f64 x (fma.f64 2/3 (.f64 x x) 2))
0.0ms	x	@	-inf	(.f64 x (fma.f64 2/3 (.f64 x x) 2))

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`pow1_binary64`
561×	`add-log-exp_binary64`
561×	`log1p-expm1-u_binary64`
561×	`expm1-log1p-u_binary64`
550×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	141	11
2	1549	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 x (fma.f64 2/3 (.f64 x x) 2))

Outputs

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

simplify160.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
469×	`fabs-mul_binary64`
443×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	20	117
2	40	117
3	86	117
4	151	117
5	361	117
6	1263	117
7	1971	117
8	2058	117
9	2191	117
10	2349	117
11	2590	117
12	2912	117
13	3336	117
14	3839	117
15	4441	117
16	5161	117
17	5482	117
18	5766	117
19	5986	117
20	6164	117
21	6246	117
22	7186	117

Stop Event

1×	node limit

Counts

25 → 17

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 37 to 29 computations (21.6% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
	0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
✓	0.0b	(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
✓	6.4b	(log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1))

Compiler

Compiled 68 to 55 computations (19.1% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1))
0.0ms	x	@	inf	(log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1))
0.0ms	x	@	-inf	(log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1))
0.0ms	x	@	inf	(+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms	x	@	-inf	(+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite338.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`prod-diff_binary64`
527×	`fma-def_binary64`
450×	`log-prod_binary64`
250×	`pow2_binary64`
230×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	47
1	211	33
2	3221	33

Stop Event

1×	node limit

Counts

3 → 273

Calls

Call 1

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

Outputs

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simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

432×	`fma-neg_binary64`
371×	`distribute-lft-out_binary64`
336×	`fma-def_binary64`
311×	`distribute-rgt-out_binary64`
306×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	508
1	212	484
2	624	472
3	1964	469
4	5251	469

Stop Event

1×	node limit

Counts

309 → 315

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 2))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))

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

eval1.3s (14.2%)

Compiler: Compiled 11334 to 8864 computations (21.8% saved)

prune76.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	527	3	530
Fresh	0	0	0
Picked	0	1	1
Done	3	3	6
Total	530	7	537

Error

Counts

537 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.6b	(*.f64 (/.f64 1 2) (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))
▶	58.6b	(*.f64 (/.f64 1 2) (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	0.0b	(.f64 (/.f64 1 2) (-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (*.f64 2 (log1p.f64 (neg.f64 x)))))
✓	0.5b	(.f64 1/2 (.f64 2 x))
✓	58.5b	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	0.1b	(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 2/3 x) x) x) (*.f64 2 x)))

Compiler

Compiled 91 to 74 computations (18.7% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (*.f64 2/3 x) x) x)
✓	0.1b	(.f64 (.f64 2/3 x) x)
✓	0.3b	(*.f64 2/3 x)

Compiler

Compiled 47 to 31 computations (34% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 2/3 x)
0.0ms	x	@	inf	(*.f64 2/3 x)
0.0ms	x	@	inf	(.f64 (.f64 2/3 x) x)
0.0ms	x	@	-inf	(*.f64 2/3 x)
0.0ms	x	@	0	(.f64 (.f64 2/3 x) x)

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
500×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	122	18
2	1415	18

Stop Event

1×	node limit

Counts

3 → 33

Calls

Call 1

Inputs
(*.f64 2/3 x)
(.f64 (.f64 2/3 x) x)
(.f64 (.f64 (*.f64 2/3 x) x) x)

Outputs

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

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

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

simplify168.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1208×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
537×	`fabs-mul_binary64`
536×	`unswap-sqr_binary64`
502×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	168
1	23	168
2	48	168
3	105	168
4	296	168
5	1235	168
6	2405	168
7	2571	168
8	2821	168
9	3108	168
10	3487	168
11	3993	168
12	4591	168
13	5301	168
14	5768	168
15	6093	168
16	6367	168
17	6537	168
18	6631	168
19	7308	168

Stop Event

1×	node limit

Counts

57 → 36

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))

Outputs
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))

localize26.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
✓	6.3b	(log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))

Compiler

Compiled 65 to 52 computations (20% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))
0.0ms	x	@	inf	(log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))
0.0ms	x	@	inf	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms	x	@	0	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms	x	@	-inf	(log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`pow1_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
865×	`add-log-exp_binary64`
849×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	183	20
2	2362	20

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-def_binary64`
502×	`times-frac_binary64`
474×	`fma-neg_binary64`
446×	`associate-/l/_binary64`
394×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	312
1	158	306
2	415	306
3	1171	301
4	3345	297

Stop Event

1×	node limit

Counts

98 → 102

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 -2/3 (pow.f64 x 3)))
(+.f64 (.f64 -2/5 (pow.f64 x 5)) (+.f64 (.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))))
(+.f64 (.f64 -2/5 (pow.f64 x 5)) (+.f64 (.f64 -2/7 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (.f64 -2/3 (pow.f64 x 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 -2/3 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3)))
(fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (.f64 -2/5 (pow.f64 x 5)) (+.f64 (.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x)))
(fma.f64 -2/3 (pow.f64 x 3) (fma.f64 -2/5 (pow.f64 x 5) (*.f64 -2 x)))
(fma.f64 -2 x (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2/5 (pow.f64 x 5))))
(+.f64 (.f64 -2/5 (pow.f64 x 5)) (+.f64 (.f64 -2/7 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (.f64 -2/3 (pow.f64 x 3)))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/7 (pow.f64 x 7) (fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3)))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/7 (pow.f64 x 7) (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2 x (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2/7 (pow.f64 x 7)))))
(fma.f64 -2 x (fma.f64 -2/3 (pow.f64 x 3) (fma.f64 -2/7 (pow.f64 x 7) (*.f64 -2/5 (pow.f64 x 5)))))
(fma.f64 x (fma.f64 x (.f64 x -2/3) -2) (fma.f64 -2/5 (pow.f64 x 5) (.f64 -2/7 (pow.f64 x 7))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (/.f64 -2 x))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2 x))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))) (/.f64 -2/5 (pow.f64 x 5))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (/.f64 -2 x))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2 x))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))) (/.f64 -2/5 (pow.f64 x 5))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (+.f64 (.f64 -2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1))
(fma.f64 -2 x (fma.f64 x (*.f64 x 2) 1))
(fma.f64 x (fma.f64 x 2 -2) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x 2) 1))
(fma.f64 -2 (pow.f64 x 3) (fma.f64 x (fma.f64 x 2 -2) 1))
(fma.f64 x (*.f64 x (fma.f64 -2 x 2)) (fma.f64 -2 x 1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) -1)) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 -1 (.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 2 x) 2))))
(+.f64 (/.f64 2 x) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 2 x) -2) -1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) -1)) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 -1 (.f64 (/.f64 1 (.f64 x x)) (-.f64 (/.f64 2 x) 2))))
(+.f64 (/.f64 2 x) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 2 x) -2) -1))

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (.f64 2 (log1p.f64 (neg.f64 x))))
✓	0.0b	(log1p.f64 (*.f64 (neg.f64 x) x))

Compiler

Compiled 52 to 22 computations (57.7% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (*.f64 (neg.f64 x) x))
1.0ms	x	@	inf	(log1p.f64 (*.f64 (neg.f64 x) x))
1.0ms	x	@	-inf	(log1p.f64 (*.f64 (neg.f64 x) x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (.f64 2 (log1p.f64 (neg.f64 x))))
0.0ms	x	@	0	(-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (.f64 2 (log1p.f64 (neg.f64 x))))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`pow1_binary64`
795×	`add-log-exp_binary64`
793×	`expm1-log1p-u_binary64`
791×	`log1p-expm1-u_binary64`
779×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	196	20
2	2597	20

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(log1p.f64 (*.f64 (neg.f64 x) x))
(-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (.f64 2 (log1p.f64 (neg.f64 x))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (*.f64 x x)) (*.f64 (log1p.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (*.f64 x x)) (*.f64 (*.f64 (log1p.f64 x) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 2 (*.f64 2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) (fma.f64 -2 (log1p.f64 x) (*.f64 2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) (fma.f64 (*.f64 (log1p.f64 x) -2) 1 (*.f64 2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2 (log1p.f64 x))) 2) (*.f64 2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (log1p.f64 x)))) (sqrt.f64 (*.f64 2 (log1p.f64 x))) (*.f64 2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 x) -2) (log1p.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3) (*.f64 8 (pow.f64 (log1p.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2) (*.f64 (*.f64 2 (log1p.f64 x)) (+.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2) (*.f64 4 (pow.f64 (log1p.f64 x) 2))) (/.f64 1 (+.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 (*.f64 x x))) (sqrt.f64 (*.f64 2 (log1p.f64 x)))) (-.f64 (sqrt.f64 (log1p.f64 (*.f64 x x))) (sqrt.f64 (*.f64 2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2) (*.f64 (*.f64 2 (log1p.f64 x)) (+.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))))) (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3) (*.f64 8 (pow.f64 (log1p.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2) (*.f64 4 (pow.f64 (log1p.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3) (*.f64 8 (pow.f64 (log1p.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2) (*.f64 (*.f64 2 (log1p.f64 x)) (+.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2) (*.f64 4 (pow.f64 (log1p.f64 x) 2))) (+.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3) (*.f64 8 (pow.f64 (log1p.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2) (*.f64 (*.f64 2 (log1p.f64 x)) (+.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2) (*.f64 4 (pow.f64 (log1p.f64 x) 2)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3) (pow.f64 (*.f64 (log1p.f64 x) -2) 3)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2) (-.f64 (*.f64 (*.f64 (log1p.f64 x) -2) (*.f64 (log1p.f64 x) -2)) (*.f64 (log1p.f64 (*.f64 x x)) (*.f64 (log1p.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2) (*.f64 (*.f64 (log1p.f64 x) -2) (*.f64 (log1p.f64 x) -2))) (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 (log1p.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (*.f64 x x)) (*.f64 (log1p.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) 2) (cbrt.f64 (log1p.f64 (*.f64 x x))) (*.f64 (log1p.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (*.f64 x x))) (sqrt.f64 (log1p.f64 (*.f64 x x))) (*.f64 (log1p.f64 x) -2))))))

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

630×	`associate-l_binary64`
586×	`associate--l+_binary64`
584×	`associate-+l-_binary64`
476×	`associate-r_binary64`
396×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	545
1	268	522
2	786	462
3	2761	438

Stop Event

1×	node limit

Counts

76 → 99

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (*.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 8)))))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))))) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))

Outputs
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 -1 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 4) (neg.f64 (*.f64 x x)))
(-.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 x x))
(fma.f64 -1/2 (pow.f64 x 4) (*.f64 x (neg.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (*.f64 -1 (pow.f64 x 2))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (neg.f64 (*.f64 x x))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 4) (.f64 -1/3 (pow.f64 x 6))) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 8)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (.f64 x x) (.f64 -1/4 (pow.f64 x 8)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (-.f64 (.f64 -1/4 (pow.f64 x 8)) (.f64 x x))))
(fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/4 (pow.f64 x 8) (*.f64 x (neg.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (fma.f64 -1/3 (pow.f64 x 6) (.f64 -1/4 (pow.f64 x 8))) (.f64 x x)))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1 (.f64 x x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (log.f64 x)) (/.f64 -1 (.f64 x x))))
(+.f64 (log.f64 -1) (fma.f64 2 (log.f64 x) (/.f64 -1 (*.f64 x x))))
(fma.f64 2 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (*.f64 2 (log.f64 x)) (-.f64 (-.f64 (log.f64 -1) (/.f64 (/.f64 1 x) x)) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 2 (log.f64 x) (/.f64 -1/2 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(+.f64 (fma.f64 2 (log.f64 x) (log.f64 -1)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/2 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -1) (-.f64 (*.f64 2 (log.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (fma.f64 2 (log.f64 x) (/.f64 -1/2 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) (/.f64 -1/3 (pow.f64 x 6))))
(+.f64 (fma.f64 2 (log.f64 x) (log.f64 -1)) (-.f64 (/.f64 -1/2 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 6)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 (*.f64 x x)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1 (*.f64 x x)))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4)))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/2 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 6)))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (-.f64 (/.f64 -1/2 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 6)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 x 2 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 x 2 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(+.f64 (+.f64 (log.f64 -1) (.f64 -2 (neg.f64 (log.f64 x)))) (.f64 -2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))))
(+.f64 (.f64 2 (log.f64 x)) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 -1) (log.f64 x)))))
(+.f64 (log.f64 -1) (*.f64 (log.f64 -1) -2))
(neg.f64 (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 2 x)) (*.f64 2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 2 x)) (-.f64 (log.f64 -1) (*.f64 2 (+.f64 (log.f64 -1) (log.f64 x)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (*.f64 (log.f64 -1) -2)))
(+.f64 (/.f64 2 x) (neg.f64 (log.f64 -1)))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))))) (.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 2 x)) (*.f64 2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))))))
(+.f64 (+.f64 (log.f64 -1) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 2 x))) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 -2 (+.f64 (log.f64 -1) (log.f64 x)))))
(+.f64 (+.f64 (/.f64 2 x) (*.f64 (log.f64 -1) -2)) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 x) (neg.f64 (log.f64 -1))) (/.f64 2/3 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))) (.f64 2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (+.f64 (log.f64 -1) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2/5 (pow.f64 x 5)))) (*.f64 2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))))
(+.f64 (+.f64 (+.f64 (+.f64 (log.f64 -1) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 2 x))) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))) (*.f64 -2 (+.f64 (log.f64 -1) (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (*.f64 (log.f64 -1) -2))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (neg.f64 (log.f64 -1)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))

eval105.0ms (1.1%)

Compiler: Compiled 4625 to 3350 computations (27.6% saved)

prune50.0ms (0.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	235	2	237
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	235	9	244

Error

Counts

244 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 1/2 (+.f64 (.f64 (-.f64 (+.f64 1 (.f64 2/3 (.f64 x x))) 1) x) (*.f64 2 x)))
✓	0.0b	(.f64 (/.f64 1 2) (-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (*.f64 2 (log1p.f64 (neg.f64 x)))))
✓	58.6b	(*.f64 (/.f64 1 2) (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))
✓	58.6b	(*.f64 (/.f64 1 2) (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))
▶	58.6b	(*.f64 (/.f64 1 2) (neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) 1))))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	0.5b	(.f64 1/2 (.f64 2 x))
✓	58.5b	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	0.1b	(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 2/3 x) x) x) (*.f64 2 x)))

Compiler

Compiled 129 to 106 computations (17.8% saved)

localize61.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (+.f64 1 (.f64 2/3 (*.f64 x x))) 1) x)
✓	0.2b	(.f64 2/3 (.f64 x x))
✓	3.1b	(-.f64 (+.f64 1 (.f64 2/3 (.f64 x x))) 1)

Compiler

Compiled 76 to 49 computations (35.5% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 2/3 (.f64 x x))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 2/3 (.f64 x x))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (.f64 2/3 (.f64 x x))) 1)
0.0ms	x	@	inf	(.f64 (-.f64 (+.f64 1 (.f64 2/3 (*.f64 x x))) 1) x)
0.0ms	x	@	-inf	(.f64 (-.f64 (+.f64 1 (.f64 2/3 (*.f64 x x))) 1) x)

rewrite229.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
871×	`add-log-exp_binary64`
870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	198	24
2	2707	24

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 2/3 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 2/3 (*.f64 x x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/3 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 2/3 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/3 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (cbrt.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 2/3)) (*.f64 x (sqrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 2/3))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 2/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) 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#<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 2/3 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 2/3 (*.f64 x x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/3 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 2/3 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/3 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 2/3 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 3) (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2)) (/.f64 1 (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 2/3 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 2/3 (*.f64 x x) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 2/3 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2/3 (*.f64 x x) -1) (fma.f64 2/3 (*.f64 x x) -1)) (fma.f64 2/3 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 2/3 (*.f64 x x) -1) (fma.f64 2/3 (*.f64 x x) -1))) (-.f64 1 (fma.f64 2/3 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2/3 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 2/3))) (hypot.f64 1 (*.f64 x (sqrt.f64 2/3))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (fma.f64 2/3 (*.f64 x x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (fma.f64 2/3 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 2/3 (*.f64 x x) 1) x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 2/3 (*.f64 x x) 1)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 3) -1) x) (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) -1) x) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) (+.f64 (*.f64 2/3 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 1) 2) -1)) (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 2/3 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 2/3 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (*.f64 x x) 3) 8/27)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 8/27) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 2/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 2/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 2/3 (*.f64 x x)))))))))

simplify275.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1208×	`sqr-pow_binary64`
564×	`cube-prod_binary64`
537×	`fabs-mul_binary64`
536×	`unswap-sqr_binary64`
502×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	252
1	23	252
2	48	252
3	105	252
4	296	252
5	1235	252
6	2405	252
7	2571	252
8	2821	252
9	3108	252
10	3487	252
11	3993	252
12	4591	252
13	5301	252
14	5768	252
15	6093	252
16	6367	252
17	6537	252
18	6631	252
19	7308	252

Stop Event

1×	node limit

Counts

138 → 74

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))

Outputs
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))

localize86.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
	0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
✓	0.0b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
✓	6.3b	(log.f64 (/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) 1))

Compiler

Compiled 101 to 84 computations (16.8% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) 1))
0.0ms	x	@	0	(+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms	x	@	inf	(log.f64 (/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) 1))
0.0ms	x	@	inf	(+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms	x	@	-inf	(log.f64 (/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) 1))

rewrite201.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`prod-diff_binary64`
543×	`fma-def_binary64`
482×	`log-prod_binary64`
308×	`fma-neg_binary64`
249×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	244	33
2	3573	33

Stop Event

1×	node limit

Counts

3 → 359

Calls

Call 1

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

Outputs

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

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-def_binary64`
636×	`cancel-sign-sub-inv_binary64`
527×	`associate-/l*_binary64`
325×	`distribute-neg-frac_binary64`
311×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	494
1	205	482
2	569	482
3	1578	468
4	4563	468

Stop Event

1×	node limit

Counts

395 → 401

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 -2/3 (pow.f64 x 3)))
(+.f64 (.f64 -2/5 (pow.f64 x 5)) (+.f64 (.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))))
(+.f64 (.f64 -2/5 (pow.f64 x 5)) (+.f64 (.f64 -2/7 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (.f64 -2/3 (pow.f64 x 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 -2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 -2/3 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3)))
(fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x))
(.f64 x (fma.f64 x (.f64 x -2/3) -2))
(+.f64 (.f64 -2/5 (pow.f64 x 5)) (+.f64 (.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x)))
(fma.f64 -2 x (fma.f64 -2/5 (pow.f64 x 5) (*.f64 -2/3 (pow.f64 x 3))))
(fma.f64 -2 x (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2/5 (pow.f64 x 5))))
(+.f64 (.f64 -2/5 (pow.f64 x 5)) (+.f64 (.f64 -2/7 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (.f64 -2/3 (pow.f64 x 3)))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/7 (pow.f64 x 7) (fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3)))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/7 (pow.f64 x 7) (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2 x (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2/7 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 x (.f64 x -2/3) -2) (fma.f64 -2/5 (pow.f64 x 5) (.f64 -2/7 (pow.f64 x 7))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (/.f64 -2 x))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2 x))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))) (/.f64 -2/5 (pow.f64 x 5))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (/.f64 -2 x))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2 x))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))) (/.f64 -2/5 (pow.f64 x 5))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (+.f64 (.f64 -2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1))
(fma.f64 -2 x (fma.f64 x (*.f64 x 2) 1))
(fma.f64 x (fma.f64 x 2 -2) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
(+.f64 (fma.f64 -2 x 1) (.f64 (.f64 x x) (fma.f64 -2 x 2)))
(fma.f64 -2 (pow.f64 x 3) (fma.f64 x (fma.f64 x 2 -2) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 (/.f64 -2 x) x))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 2 x))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 -1 (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 -2 (/.f64 2 x)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 (/.f64 -2 x) x))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 2 x))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 -1 (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 -2 (/.f64 2 x)))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 -2 x) 2)
(fma.f64 -2 x 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (+.f64 (.f64 -2 x) 2))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 2))
(fma.f64 -2 x (fma.f64 x (*.f64 x 2) 2))
(fma.f64 x (fma.f64 x 2 -2) 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (+.f64 2 (.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 2))
(+.f64 (fma.f64 -2 x 2) (.f64 (.f64 x x) (fma.f64 -2 x 2)))
(*.f64 (fma.f64 x x 1) (fma.f64 -2 x 2))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 2 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 -2 (/.f64 2 x))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 -2 x) x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 2 (/.f64 2 x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 -2 x) x) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 2 (/.f64 -2 x)))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 2 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 -2 (/.f64 2 x))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 -2 x) x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 2 (/.f64 2 x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 -2 x) x) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 2 (/.f64 -2 x)))))

eval458.0ms (5%)

Compiler: Compiled 15194 to 11823 computations (22.2% saved)

prune92.0ms (1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	531	1	532
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	531	10	541

Error

Counts

541 → 10

Alt Table

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Status	Error	Program
✓	0.1b	(.f64 1/2 (+.f64 (.f64 (-.f64 (+.f64 1 (.f64 2/3 (.f64 x x))) 1) x) (*.f64 2 x)))
✓	0.0b	(.f64 (/.f64 1 2) (-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (*.f64 2 (log1p.f64 (neg.f64 x)))))
✓	58.6b	(*.f64 (/.f64 1 2) (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))
✓	58.6b	(*.f64 (/.f64 1 2) (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))
✓	58.6b	(*.f64 (/.f64 1 2) (neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) 1))))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	0.5b	(.f64 1/2 (.f64 2 x))
	0.1b	(.f64 1/2 (+.f64 (+.f64 (.f64 (fma.f64 2/3 (.f64 x x) 1) x) (.f64 -1 x)) (*.f64 2 x)))
✓	58.5b	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	0.1b	(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 2/3 x) x) x) (*.f64 2 x)))

Compiler

Compiled 148 to 120 computations (18.9% saved)

regimes28.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 2/3 x) x) x) (*.f64 2 x)))
(.f64 1/2 (+.f64 (.f64 (-.f64 (+.f64 1 (.f64 2/3 (.f64 x x))) 1) x) (*.f64 2 x)))
(.f64 1/2 (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))
(*.f64 (/.f64 1 2) (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))
(.f64 1/2 (+.f64 (+.f64 (.f64 (fma.f64 2/3 (.f64 x x) 1) x) (.f64 -1 x)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) 1))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 (/.f64 1 2) (-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (*.f64 2 (log1p.f64 (neg.f64 x)))))
(.f64 1/2 (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))

Outputs
(.f64 (/.f64 1 2) (-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (*.f64 2 (log1p.f64 (neg.f64 x)))))

Calls

5 calls:

8.0ms	x
3.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
3.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
0.0b	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
0.0b	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`
0.0b	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 217 to 168 computations (22.6% saved)

regimes23.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 2/3 x) x) x) (*.f64 2 x)))
(.f64 1/2 (+.f64 (.f64 (-.f64 (+.f64 1 (.f64 2/3 (.f64 x x))) 1) x) (*.f64 2 x)))
(.f64 1/2 (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))
(*.f64 (/.f64 1 2) (log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))
(.f64 1/2 (+.f64 (+.f64 (.f64 (fma.f64 2/3 (.f64 x x) 1) x) (.f64 -1 x)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) 1))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Calls

5 calls:

6.0ms	x
4.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
3.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
0.0b	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
0.0b	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`
0.0b	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 185 to 145 computations (21.6% saved)

regimes28.0ms (0.3%)

Accuracy

Total -58.8b remaining (-63848.8%)

Threshold costs -58.8b (-63848.8%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 2/3 x) x) x) (*.f64 2 x)))

Calls

5 calls:

12.0ms	x
4.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
3.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
0.1b	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
0.1b	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`
0.1b	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 177 to 139 computations (21.5% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	50	60
2	64	60
3	71	60
4	74	60

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 1 2) (-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (*.f64 2 (log1p.f64 (neg.f64 x)))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 2/3 x) x) x) (*.f64 2 x)))
(.f64 1/2 (.f64 2 x))

Outputs
(.f64 (/.f64 1 2) (-.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (*.f64 2 (log1p.f64 (neg.f64 x)))))
(.f64 1/2 (+.f64 (log1p.f64 (.f64 x (neg.f64 x))) (*.f64 -2 (log1p.f64 (neg.f64 x)))))
(.f64 1/2 (+.f64 (log1p.f64 (.f64 x (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) -2)))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 2/3 x) x) x) (*.f64 2 x)))
(.f64 1/2 (+.f64 (.f64 x (.f64 x (.f64 x 2/3))) (*.f64 2 x)))
(.f64 1/2 (.f64 2 x))

Compiler

Compiled 43 to 32 computations (25.6% saved)

soundness0.0ms (0%)

end65.0ms (0.7%)

Compiler: Compiled 40 to 27 computations (32.5% saved)

Details

analyze4.0ms (0%)

sample3.6s (39.3%)

preprocess299.0ms (3.3%)

simplify286.0ms (3.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite44.0ms (0.5%)

simplify61.0ms (0.7%)

localize17.0ms (0.2%)

series4.0ms (0%)

rewrite57.0ms (0.6%)

simplify48.0ms (0.5%)

eval47.0ms (0.5%)

prune23.0ms (0.2%)

localize27.0ms (0.3%)

series5.0ms (0.1%)

rewrite76.0ms (0.8%)

simplify139.0ms (1.5%)

localize5.0ms (0.1%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite46.0ms (0.5%)

simplify160.0ms (1.8%)

localize16.0ms (0.2%)

localize29.0ms (0.3%)

series4.0ms (0%)

rewrite338.0ms (3.7%)

simplify64.0ms (0.7%)

eval1.3s (14.2%)

prune76.0ms (0.8%)

localize18.0ms (0.2%)

series3.0ms (0%)

rewrite49.0ms (0.5%)

simplify168.0ms (1.8%)

localize26.0ms (0.3%)

series2.0ms (0%)

rewrite80.0ms (0.9%)

simplify52.0ms (0.6%)

localize21.0ms (0.2%)

series4.0ms (0%)

rewrite59.0ms (0.6%)

simplify52.0ms (0.6%)

eval105.0ms (1.1%)

prune50.0ms (0.5%)

localize61.0ms (0.7%)

series6.0ms (0.1%)

rewrite229.0ms (2.5%)

simplify275.0ms (3%)

localize86.0ms (0.9%)

series5.0ms (0.1%)

rewrite201.0ms (2.2%)

simplify97.0ms (1.1%)

eval458.0ms (5%)

prune92.0ms (1%)

regimes28.0ms (0.3%)

regimes23.0ms (0.2%)

regimes28.0ms (0.3%)

simplify18.0ms (0.2%)

soundness0.0ms (0%)

end65.0ms (0.7%)

Profiling