Details

analyze5.0ms (0.1%)

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)

sample3.5s (47.2%)

Results

2.2s	4168×	body	1024	valid
712.0ms	1993×	body	512	valid
318.0ms	428×	body	2048	valid
255.0ms	1667×	body	256	valid
0.0ms	3×	body	256	invalid

Bogosity

preprocess303.0ms (4.1%)

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)

simplify294.0ms (4%)

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)

prune2.0ms (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
▶	58.3b	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize9.0ms (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)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.7%)

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)))))))

simplify59.0ms (0.8%)

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))))

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
✓	6.9b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Compiler

Compiled 40 to 31 computations (22.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.8%)

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))))))))

simplify54.0ms (0.7%)

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))

eval46.0ms (0.6%)

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

prune23.0ms (0.3%)

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
▶	61.6b	(.f64 (/.f64 1 2) (/.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)))))
▶	0.5b	(.f64 1/2 (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
✓	58.3b	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	1.0b	(.f64 1/2 (.f64 2 x))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	40.8b	(*.f64 (/.f64 1 2) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)))
▶	0.1b	(.f64 1/2 (+.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))))))

Compiler

Compiled 182 to 134 computations (26.4% saved)

localize43.0ms (0.6%)

Local error

Found 4 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 2/7 (pow.f64 x 7))
✓	0.1b	(*.f64 2/5 (pow.f64 x 5))
✓	0.1b	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 107 to 86 computations (19.6% saved)

series7.0ms (0.1%)

Counts

4 → 6

Calls

12 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 2/7 (pow.f64 x 7))
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)))

rewrite81.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
380×	`pow2_binary64`
325×	`fma-def_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	334	35
2	3767	35

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/5 (pow.f64 x 5))
(*.f64 2/7 (pow.f64 x 7))
(+.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 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) (log.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))))))
((#(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 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) (log.f64 2/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2/7 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2/7 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/7 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4/49 (pow.f64 x 14)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2/7 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2/7 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2/7) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4/49 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2/7 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2/7 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2/7 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2/7 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2/7 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 2/7 (pow.f64 x 7))) 1))))))
((#(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 15) 8/125 (.f64 (pow.f64 x 9) 8/27)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 4/9 (.f64 (pow.f64 x 10) 4/25)) (.f64 (.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 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 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))) (fma.f64 (pow.f64 x 15) 8/125 (.f64 (pow.f64 x 9) 8/27))))))) (#(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 15) 8/125 (.f64 (pow.f64 x 9) 8/27)) (-.f64 (fma.f64 (pow.f64 x 6) 4/9 (.f64 (pow.f64 x 10) 4/25)) (.f64 (.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 15) 8/125 (.f64 (pow.f64 x 9) 8/27)) (fma.f64 (pow.f64 x 10) 4/25 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.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 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 15) 8/125 (.f64 (pow.f64 x 9) 8/27))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4/9 (.f64 (pow.f64 x 10) 4/25)) (.f64 (.f64 2/3 (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 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4/9 (.f64 (pow.f64 x 10) 4/25)) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))) (fma.f64 (pow.f64 x 15) 8/125 (.f64 (pow.f64 x 9) 8/27))) -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 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 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)) (cbrt.f64 (.f64 (pow.f64 x 6) 4/9)) (.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 4/9)) (.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 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 (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 (.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)))))))

simplify140.0ms (1.9%)

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

119 → 116

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)

localize12.0ms (0.2%)

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 (0.6%)

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))))))))

simplify165.0ms (2.2%)

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))

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓	0.0b	(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)
✓	40.9b	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))

Compiler

Compiled 51 to 23 computations (54.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)
1.0ms	x	@	-inf	(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)
1.0ms	x	@	0	(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`pow1_binary64`
649×	`add-log-exp_binary64`
649×	`expm1-log1p-u_binary64`
647×	`log1p-expm1-u_binary64`
635×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	197	19
2	2358	19

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)

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

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

785×	`associate-/l*_binary64`
713×	`fma-def_binary64`
599×	`associate-/r*_binary64`
483×	`fma-neg_binary64`
414×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	582
1	336	569
2	1046	512
3	4093	475

Stop Event

1×	node limit

Counts

93 → 114

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))))))
(*.f64 8 (pow.f64 x 3))
(+.f64 (.f64 8 (pow.f64 x 5)) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 8 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 112/15 (pow.f64 x 7))))
(+.f64 (.f64 8 (pow.f64 x 5)) (+.f64 (.f64 6544/945 (pow.f64 x 9)) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 112/15 (pow.f64 x 7)))))
(*.f64 -1 (pow.f64 (log.f64 -1) 3))
(+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x)) (+.f64 (.f64 -1 (pow.f64 (log.f64 -1) 3)) (*.f64 4 (/.f64 (pow.f64 (log.f64 -1) 2) x))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x)) (+.f64 (.f64 -4 (/.f64 (log.f64 -1) (pow.f64 x 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 -1) 3)) (+.f64 (.f64 -8 (/.f64 (log.f64 -1) (pow.f64 x 2))) (*.f64 4 (/.f64 (pow.f64 (log.f64 -1) 2) x))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x)) (+.f64 (.f64 2/3 (/.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 -1) (pow.f64 x 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 -1) 3)) (+.f64 (.f64 -8 (/.f64 (log.f64 -1) (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (log.f64 -1) 2) x)) (.f64 4/3 (/.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 x 3))))))))))
(pow.f64 (log.f64 -1) 3)
(+.f64 (pow.f64 (log.f64 -1) 3) (.f64 -1 (/.f64 (+.f64 (.f64 -4 (pow.f64 (log.f64 -1) 2)) (*.f64 -2 (pow.f64 (log.f64 -1) 2))) x)))
(+.f64 (.f64 8 (/.f64 (log.f64 -1) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 -1) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4 (pow.f64 (log.f64 -1) 2)) (.f64 -2 (pow.f64 (log.f64 -1) 2))) x)) (*.f64 4 (/.f64 (log.f64 -1) (pow.f64 x 2))))))
(+.f64 (.f64 8 (/.f64 (log.f64 -1) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 -1) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4 (pow.f64 (log.f64 -1) 2)) (.f64 -2 (pow.f64 (log.f64 -1) 2))) x)) (+.f64 (.f64 4 (/.f64 (log.f64 -1) (pow.f64 x 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -2/3 (pow.f64 (log.f64 -1) 2)) (.f64 -4/3 (pow.f64 (log.f64 -1) 2))) 8) (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 (.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 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 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5)))))
(*.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 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (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 2/3 (/.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 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.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 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(*.f64 8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 8)
(+.f64 (.f64 8 (pow.f64 x 5)) (.f64 8 (pow.f64 x 3)))
(*.f64 8 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))
(*.f64 8 (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 (.f64 8 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 112/15 (pow.f64 x 7))))
(fma.f64 8 (pow.f64 x 5) (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 112/15)))
(fma.f64 8 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (*.f64 (pow.f64 x 7) 112/15))
(fma.f64 (pow.f64 x 7) 112/15 (*.f64 8 (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
(+.f64 (.f64 8 (pow.f64 x 5)) (+.f64 (.f64 6544/945 (pow.f64 x 9)) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 112/15 (pow.f64 x 7)))))
(fma.f64 8 (pow.f64 x 5) (fma.f64 6544/945 (pow.f64 x 9) (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 112/15))))
(fma.f64 (pow.f64 x 5) 8 (fma.f64 6544/945 (pow.f64 x 9) (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x 7) 112/15))))
(fma.f64 6544/945 (pow.f64 x 9) (fma.f64 (pow.f64 x 7) 112/15 (*.f64 8 (+.f64 (pow.f64 x 3) (pow.f64 x 5)))))
(*.f64 -1 (pow.f64 (log.f64 -1) 3))
(neg.f64 (pow.f64 (log.f64 -1) 3))
(+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x)) (+.f64 (.f64 -1 (pow.f64 (log.f64 -1) 3)) (*.f64 4 (/.f64 (pow.f64 (log.f64 -1) 2) x))))
(fma.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x) (fma.f64 -1 (pow.f64 (log.f64 -1) 3) (*.f64 (/.f64 (pow.f64 (log.f64 -1) 2) x) 4)))
(fma.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x) (-.f64 (/.f64 4 (/.f64 x (pow.f64 (log.f64 -1) 2))) (pow.f64 (log.f64 -1) 3)))
(-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 -1) 2) x) 6) (pow.f64 (log.f64 -1) 3))
(-.f64 (/.f64 (pow.f64 (log.f64 -1) 2) (/.f64 x 6)) (pow.f64 (log.f64 -1) 3))
(+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x)) (+.f64 (.f64 -4 (/.f64 (log.f64 -1) (pow.f64 x 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 -1) 3)) (+.f64 (.f64 -8 (/.f64 (log.f64 -1) (pow.f64 x 2))) (*.f64 4 (/.f64 (pow.f64 (log.f64 -1) 2) x))))))
(fma.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x) (fma.f64 -4 (/.f64 (log.f64 -1) (.f64 x x)) (fma.f64 -1 (pow.f64 (log.f64 -1) 3) (fma.f64 -8 (/.f64 (log.f64 -1) (.f64 x x)) (*.f64 (/.f64 (pow.f64 (log.f64 -1) 2) x) 4)))))
(fma.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x) (fma.f64 -4 (/.f64 (log.f64 -1) (.f64 x x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 -1) 2) x) 4 (/.f64 -8 (/.f64 (.f64 x x) (log.f64 -1)))) (pow.f64 (log.f64 -1) 3))))
(+.f64 (fma.f64 -4 (/.f64 (log.f64 -1) (.f64 x x)) (-.f64 (.f64 (/.f64 -8 (.f64 x x)) (log.f64 -1)) (pow.f64 (log.f64 -1) 3))) (.f64 (/.f64 (pow.f64 (log.f64 -1) 2) x) 6))
(+.f64 (-.f64 (.f64 (/.f64 (log.f64 -1) (.f64 x x)) -12) (pow.f64 (log.f64 -1) 3)) (/.f64 (pow.f64 (log.f64 -1) 2) (/.f64 x 6)))
(+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x)) (+.f64 (.f64 2/3 (/.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 -1) (pow.f64 x 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 -1) 3)) (+.f64 (.f64 -8 (/.f64 (log.f64 -1) (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 (log.f64 -1) 2) x)) (.f64 4/3 (/.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 x 3))))))))))
(fma.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x) (fma.f64 2/3 (/.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (log.f64 -1) (.f64 x x)) (fma.f64 -1 (pow.f64 (log.f64 -1) 3) (fma.f64 -8 (/.f64 (log.f64 -1) (.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 3)) (fma.f64 4 (/.f64 (pow.f64 (log.f64 -1) 2) x) (*.f64 (/.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 x 3)) 4/3))))))))
(fma.f64 2 (/.f64 (pow.f64 (log.f64 -1) 2) x) (fma.f64 2/3 (/.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (log.f64 -1) (.f64 x x)) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 -1) 2) x) 4 (.f64 (/.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 x 3)) 4/3)) (fma.f64 (/.f64 (log.f64 -1) (*.f64 x x)) -8 (/.f64 8 (pow.f64 x 3)))) (pow.f64 (log.f64 -1) 3)))))
(+.f64 (-.f64 (fma.f64 -4 (/.f64 (log.f64 -1) (.f64 x x)) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 -1) 2) x) (+.f64 4 (/.f64 4/3 (.f64 x x)))) (fma.f64 (/.f64 (log.f64 -1) (.f64 x x)) -8 (/.f64 8 (pow.f64 x 3))))) (pow.f64 (log.f64 -1) 3)) (.f64 (/.f64 (pow.f64 (log.f64 -1) 2) x) (+.f64 2 (/.f64 2/3 (.f64 x x)))))
(+.f64 (+.f64 (-.f64 (.f64 (/.f64 (log.f64 -1) (.f64 x x)) -12) (pow.f64 (log.f64 -1) 3)) (/.f64 8 (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 (log.f64 -1) 2) x) (+.f64 (+.f64 4 (/.f64 4/3 (.f64 x x))) (+.f64 2 (/.f64 2/3 (*.f64 x x))))))
(pow.f64 (log.f64 -1) 3)
(+.f64 (pow.f64 (log.f64 -1) 3) (.f64 -1 (/.f64 (+.f64 (.f64 -4 (pow.f64 (log.f64 -1) 2)) (*.f64 -2 (pow.f64 (log.f64 -1) 2))) x)))
(+.f64 (pow.f64 (log.f64 -1) 3) (neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 -1) 2) -6) x)))
(-.f64 (pow.f64 (log.f64 -1) 3) (/.f64 (pow.f64 (log.f64 -1) 2) (/.f64 x -6)))
(+.f64 (pow.f64 (log.f64 -1) 3) (/.f64 (*.f64 (pow.f64 (log.f64 -1) 2) 6) x))
(+.f64 (pow.f64 (log.f64 -1) 3) (/.f64 (pow.f64 (log.f64 -1) 2) (/.f64 x 6)))
(+.f64 (.f64 8 (/.f64 (log.f64 -1) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 -1) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4 (pow.f64 (log.f64 -1) 2)) (.f64 -2 (pow.f64 (log.f64 -1) 2))) x)) (*.f64 4 (/.f64 (log.f64 -1) (pow.f64 x 2))))))
(fma.f64 8 (/.f64 (log.f64 -1) (.f64 x x)) (+.f64 (pow.f64 (log.f64 -1) 3) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 -1) 2) -6) x) (.f64 4 (/.f64 (log.f64 -1) (.f64 x x))))))
(+.f64 (-.f64 (.f64 4 (/.f64 (log.f64 -1) (.f64 x x))) (/.f64 (pow.f64 (log.f64 -1) 2) (/.f64 x -6))) (fma.f64 8 (/.f64 (log.f64 -1) (*.f64 x x)) (pow.f64 (log.f64 -1) 3)))
(-.f64 (+.f64 (pow.f64 (log.f64 -1) 3) (.f64 (/.f64 (log.f64 -1) (.f64 x x)) 12)) (*.f64 (/.f64 (pow.f64 (log.f64 -1) 2) x) -6))
(+.f64 (pow.f64 (log.f64 -1) 3) (fma.f64 (/.f64 (log.f64 -1) (*.f64 x x)) 12 (/.f64 (pow.f64 (log.f64 -1) 2) (/.f64 x 6))))
(+.f64 (.f64 8 (/.f64 (log.f64 -1) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 -1) 3) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4 (pow.f64 (log.f64 -1) 2)) (.f64 -2 (pow.f64 (log.f64 -1) 2))) x)) (+.f64 (.f64 4 (/.f64 (log.f64 -1) (pow.f64 x 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -2/3 (pow.f64 (log.f64 -1) 2)) (.f64 -4/3 (pow.f64 (log.f64 -1) 2))) 8) (pow.f64 x 3)))))))
(fma.f64 8 (/.f64 (log.f64 -1) (.f64 x x)) (+.f64 (pow.f64 (log.f64 -1) 3) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 -1) 2) -6) x) (fma.f64 4 (/.f64 (log.f64 -1) (.f64 x x)) (neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 (log.f64 -1) 2) -2) -8) (pow.f64 x 3)))))))
(+.f64 (-.f64 (-.f64 (.f64 4 (/.f64 (log.f64 -1) (.f64 x x))) (/.f64 (pow.f64 (log.f64 -1) 2) (/.f64 x -6))) (/.f64 (fma.f64 (pow.f64 (log.f64 -1) 2) -2 -8) (pow.f64 x 3))) (fma.f64 8 (/.f64 (log.f64 -1) (*.f64 x x)) (pow.f64 (log.f64 -1) 3)))
(+.f64 (pow.f64 (log.f64 -1) 3) (+.f64 (-.f64 (/.f64 (.f64 (pow.f64 (log.f64 -1) 2) 6) x) (/.f64 (fma.f64 (pow.f64 (log.f64 -1) 2) -2 -8) (pow.f64 x 3))) (.f64 (/.f64 (log.f64 -1) (*.f64 x x)) 12)))
(+.f64 (pow.f64 (log.f64 -1) 3) (-.f64 (fma.f64 (/.f64 (log.f64 -1) (*.f64 x x)) 12 (/.f64 (pow.f64 (log.f64 -1) 2) (/.f64 x 6))) (/.f64 (fma.f64 (pow.f64 (log.f64 -1) 2) -2 -8) (pow.f64 x 3))))

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))
✓	0.0b	(*.f64 (log1p.f64 x) (log1p.f64 x))
✓	6.7b	(-.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))
✓	6.7b	(+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

Compiler

Compiled 89 to 18 computations (79.8% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (.f64 (log1p.f64 (neg.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 (.f64 (log1p.f64 x) (log1p.f64 x)) (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))
1.0ms	x	@	inf	(*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))
1.0ms	x	@	inf	(+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`pow1_binary64`
732×	`add-log-exp_binary64`
732×	`expm1-log1p-u_binary64`
730×	`log1p-expm1-u_binary64`
717×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	206	33
2	3157	33

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

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

simplify87.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

677×	`associate-+r+_binary64`
428×	`+-commutative_binary64`
330×	`associate--l+_binary64`
315×	`associate--r+_binary64`
296×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1724
1	596	1593
2	2058	1525
3	7463	1525

Stop Event

1×	node limit

Counts

152 → 185

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 (pow.f64 x 3))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 3)) (*.f64 -7/5 (pow.f64 x 7))))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -761/630 (pow.f64 x 9)) (.f64 -7/5 (pow.f64 x 7)))))
(-.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))))
(-.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -2 (log.f64 (/.f64 -1 x)))) x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -2 (log.f64 (/.f64 -1 x)))) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 x 2)) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -2 (log.f64 (/.f64 -1 x)))) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -2/3 (log.f64 (/.f64 -1 x)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 x 2)) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 11/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 11/12 (pow.f64 x 4)) (+.f64 (*.f64 -5/6 (pow.f64 x 5)) (pow.f64 x 2))))
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (/.f64 1 (pow.f64 x 3)))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (*.f64 11/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (.f64 11/12 (pow.f64 x 4)) (+.f64 (.f64 5/6 (pow.f64 x 5)) (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)
(+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (.f64 -2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))
(+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))))))
(+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))))))))
(pow.f64 (log.f64 (/.f64 -1 x)) 2)
(+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x)) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x)) (pow.f64 (log.f64 (/.f64 -1 x)) 2))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 -1 x))) 1) (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x)) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))))

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)))
(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) (fma.f64 -1/4 (pow.f64 x 8) (*.f64 x (neg.f64 x)))))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x))))
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (*.f64 2 (log.f64 x)))
(-.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) (fma.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 (+.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 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 -1) (.f64 2 (log.f64 x))) (+.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 (+.f64 (log.f64 -1) (.f64 -2 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1/3 (pow.f64 x 6)))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 6)) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (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 (*.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 (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 (.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 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 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 6)) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) (/.f64 -1/3 (pow.f64 x 6))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -5/3 (pow.f64 x 5) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (*.f64 -5/3 (pow.f64 x 5)))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 3)) (*.f64 -7/5 (pow.f64 x 7))))
(fma.f64 -5/3 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (*.f64 -7/5 (pow.f64 x 7))))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -761/630 (pow.f64 x 9)) (.f64 -7/5 (pow.f64 x 7)))))
(fma.f64 -5/3 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (fma.f64 -761/630 (pow.f64 x 9) (*.f64 -7/5 (pow.f64 x 7)))))
(fma.f64 -5/3 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (fma.f64 -7/5 (pow.f64 x 7) (*.f64 -761/630 (pow.f64 x 9)))))
(-.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2))
(-.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 2))
(-.f64 (*.f64 (log.f64 x) (log.f64 x)) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (pow.f64 (neg.f64 (log.f64 x)) 2)) (+.f64 (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 2) (*.f64 -2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x))))
(-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 (log.f64 x) (log.f64 x))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2)))
(+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (/.f64 (.f64 2 (log.f64 x)) x) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))))))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (pow.f64 (neg.f64 (log.f64 x)) 2)) (+.f64 (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 2) (fma.f64 -2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x) (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (.f64 x x)))))))
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(pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2)
(+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (.f64 -2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))
(+.f64 (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 2) (*.f64 -2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x)))
(fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2))
(+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))))))
(+.f64 (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 2) (fma.f64 -2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x) (+.f64 (/.f64 1 (.f64 x x)) (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (.f64 x x))))))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2)) (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (.f64 x x))))
(+.f64 (/.f64 1 (.f64 x x)) (+.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2) (.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (+.f64 -2 (/.f64 -1 x)))))
(+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))))))))
(+.f64 (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 2) (fma.f64 -2/3 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x) (+.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (pow.f64 x 3))) (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (.f64 x x)))))))
(+.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2) (fma.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (.f64 x x))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (/.f64 1 (.f64 x x))))))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2)) (+.f64 (.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (.f64 x x)) (+.f64 -1 (/.f64 -2/3 x))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(pow.f64 (log.f64 (/.f64 -1 x)) 2)
(+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x)) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(fma.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x)) (pow.f64 (log.f64 (/.f64 -1 x)) 2))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x x)) (+.f64 (/.f64 1 (.f64 x x)) (fma.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x) (pow.f64 (log.f64 (/.f64 -1 x)) 2))))
(+.f64 (fma.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x x))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 -1 x))) 1) (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x)) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 -2/3 (log.f64 (/.f64 -1 x)) -1) (pow.f64 x 3)) (+.f64 (/.f64 1 (.f64 x x)) (fma.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x x)) (-.f64 (+.f64 (/.f64 1 (.f64 x x)) (fma.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x) (pow.f64 (log.f64 (/.f64 -1 x)) 2))) (/.f64 (fma.f64 (log.f64 (/.f64 -1 x)) -2/3 -1) (pow.f64 x 3))))
(+.f64 (/.f64 1 (.f64 x x)) (+.f64 (fma.f64 2 (/.f64 (log.f64 (/.f64 -1 x)) x) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (-.f64 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x x)) (/.f64 (fma.f64 (log.f64 (/.f64 -1 x)) -2/3 -1) (pow.f64 x 3)))))

eval241.0ms (3.3%)

Compiler: Compiled 13467 to 8403 computations (37.6% saved)

prune313.0ms (4.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	487	2	489
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	488	8	496

Error

Counts

496 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(.f64 1/2 (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
✓	58.3b	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	1.0b	(.f64 1/2 (.f64 2 x))
▶	0.5b	(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 2/3 x) x) x) (*.f64 2 x)))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	40.8b	(*.f64 (/.f64 1 2) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)))
▶	61.6b	(.f64 (/.f64 1 2) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
✓	0.1b	(.f64 1/2 (+.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))))))

Compiler

Compiled 115 to 87 computations (24.3% saved)

localize58.0ms (0.8%)

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)
✓	0.4b	(*.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
1.0ms	x	@	inf	(.f64 (.f64 2/3 x) x)
0.0ms	x	@	0	(*.f64 2/3 x)
0.0ms	x	@	inf	(*.f64 2/3 x)
0.0ms	x	@	-inf	(*.f64 2/3 x)
0.0ms	x	@	0	(.f64 (.f64 2/3 x) x)

rewrite55.0ms (0.7%)

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))))))))

simplify164.0ms (2.2%)

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))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	0.0b	(pow.f64 (log1p.f64 x) 2)
✓	6.7b	(-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))
	6.7b	(+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

Compiler

Compiled 85 to 28 computations (67.1% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (log1p.f64 x) 2)
2.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
2.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
0.0ms	x	@	-inf	(-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))
0.0ms	x	@	inf	(-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))

rewrite239.0ms (3.2%)

Algorithm

1×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

676×	`pow1_binary64`
631×	`add-log-exp_binary64`
630×	`expm1-log1p-u_binary64`
628×	`log1p-expm1-u_binary64`
619×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	254	48
2	3918	48
0	9	16
1	196	14
2	2584	14
0	5	6
1	101	6
2	1038	6
0	11	28
1	254	28
2	3918	28
0	11	28

Stop Event

1×	iter limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs

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

(pow.f64 (log1p.f64 x) 2)

(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log1p.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 3/2) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5) 1/3) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) 2) 3) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) 3))))))

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

simplify112.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

751×	`times-frac_binary64`
622×	`associate-/r*_binary64`
475×	`associate-/l*_binary64`
268×	`sub-neg_binary64`
244×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	2639
1	756	2407
2	2902	2300

Stop Event

1×	node limit

Counts

108 → 143

Calls

Call 1

Inputs
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 3)) (*.f64 -7/5 (pow.f64 x 7))))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -761/630 (pow.f64 x 9)) (.f64 -7/5 (pow.f64 x 7)))))
(-.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))))
(-.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -2 (log.f64 (/.f64 -1 x)))) x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -2 (log.f64 (/.f64 -1 x)))) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 x 2)) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -2 (log.f64 (/.f64 -1 x)))) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 2 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -2/3 (log.f64 (/.f64 -1 x)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 x 2)) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 11/12 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 11/12 (pow.f64 x 4)) (+.f64 (*.f64 -5/6 (pow.f64 x 5)) (pow.f64 x 2))))
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (/.f64 1 (pow.f64 x 3)))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))))
(*.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 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) x))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x))))) (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) x)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) x))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (pow.f64 x 2))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) (.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x))))) (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) x)))))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) x))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (pow.f64 x 3)))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (pow.f64 x 3)))) (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) (.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) 2) (pow.f64 x 2)))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) x))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))))) (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x))))))) (.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (pow.f64 x 3)))))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))) (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 2 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 3)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))

Outputs
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -5/3 (pow.f64 x 5) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (*.f64 -5/3 (pow.f64 x 5)))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 3)) (*.f64 -7/5 (pow.f64 x 7))))
(fma.f64 -5/3 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (*.f64 -7/5 (pow.f64 x 7))))
(+.f64 (.f64 -5/3 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -761/630 (pow.f64 x 9)) (.f64 -7/5 (pow.f64 x 7)))))
(fma.f64 -5/3 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (fma.f64 -761/630 (pow.f64 x 9) (*.f64 -7/5 (pow.f64 x 7)))))
(fma.f64 -5/3 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (fma.f64 -7/5 (pow.f64 x 7) (*.f64 -761/630 (pow.f64 x 9)))))
(-.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2))
(-.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 2))
(-.f64 (*.f64 (log.f64 x) (log.f64 x)) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (pow.f64 (neg.f64 (log.f64 x)) 2)) (+.f64 (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 2) (*.f64 -2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x))))
(-.f64 (fma.f64 -2 (neg.f64 (/.f64 (log.f64 x) x)) (*.f64 (log.f64 x) (log.f64 x))) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2)))
(+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (/.f64 (.f64 2 (log.f64 x)) x) (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2))))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))))))
(-.f64 (+.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (neg.f64 (log.f64 x)) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 2) (fma.f64 -2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x) (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (.f64 x x))))))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (-.f64 (fma.f64 -2 (neg.f64 (/.f64 (log.f64 x) x)) (.f64 (log.f64 x) (log.f64 x))) (-.f64 (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2)) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 x x)))))
(-.f64 (-.f64 (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (/.f64 (.f64 2 (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2))) (.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (+.f64 -2 (/.f64 -1 x)))) (/.f64 (log.f64 x) (.f64 x x)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2) (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))))
(-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (+.f64 (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)) (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 3)) (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 -2/3 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (.f64 x x)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 2)) (*.f64 -2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x))))))
(-.f64 (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 3)) (.f64 (log.f64 x) (log.f64 x))) (fma.f64 -2 (neg.f64 (/.f64 (log.f64 x) x)) (/.f64 (neg.f64 (log.f64 x)) (.f64 x x)))) (fma.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 x 3)) (+.f64 (-.f64 (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2)) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 (.f64 2 (log.f64 x)) x) (+.f64 (.f64 (+.f64 (/.f64 -2/3 x) 1) (/.f64 (neg.f64 (log.f64 x)) (.f64 x x))) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (+.f64 (+.f64 (fma.f64 -2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (pow.f64 (+.f64 (log.f64 -1) (log.f64 x)) 2)) (/.f64 2 (pow.f64 x 3))) (.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (.f64 x x)) (+.f64 -1 (/.f64 -2/3 x)))))))
(-.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(-.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -2 (log.f64 (/.f64 -1 x)))) x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -2 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (pow.f64 (log.f64 (/.f64 -1 x)) 2))
(+.f64 (-.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (/.f64 (*.f64 2 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 x)))) x))
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(-.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 (/.f64 -2 x) (-.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 2 (/.f64 1 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 3)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (.f64 (pow.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (-.f64 (fma.f64 -1 (/.f64 (.f64 -2 (-.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) x) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (.f64 (.f64 x x) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (-.f64 (fma.f64 -2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (fma.f64 -2/3 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (neg.f64 (/.f64 (.f64 -2 (-.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (pow.f64 x 3))))) (fma.f64 -1 (/.f64 (-.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (.f64 (.f64 x x) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (.f64 (*.f64 x x) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (-.f64 (-.f64 (-.f64 (/.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) x) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x (.f64 x (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (/.f64 (-.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (-.f64 (/.f64 (.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))) (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) x) x) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (.f64 x (.f64 x (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (/.f64 2 (/.f64 x (-.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (+.f64 (.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (+.f64 (+.f64 (/.f64 2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 -2/3 (-.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (+.f64 (.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) -2) (/.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))) x))) (-.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (.f64 x (.f64 x (pow.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))

eval173.0ms (2.3%)

Compiler: Compiled 8658 to 5444 computations (37.1% saved)

prune39.0ms (0.5%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	236	8	244

Error

Counts

244 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(.f64 1/2 (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
✓	58.3b	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	1.0b	(.f64 1/2 (.f64 2 x))
✓	0.5b	(.f64 1/2 (+.f64 (.f64 (.f64 (.f64 2/3 x) x) x) (*.f64 2 x)))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	40.8b	(*.f64 (/.f64 1 2) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)))
✓	61.6b	(.f64 (/.f64 1 2) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
✓	0.1b	(.f64 1/2 (+.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))))))

Compiler

Compiled 115 to 87 computations (24.3% saved)

regimes19.0ms (0.3%)

Counts

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

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

Calls

4 calls:

6.0ms	x
5.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(/.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))`

Compiler

Compiled 164 to 105 computations (36% saved)

regimes12.0ms (0.2%)

Counts

4 → 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 x (fma.f64 2/3 (*.f64 x x) 2)))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
0.5b	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
0.5b	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.5b remaining (-93.2%)

Threshold costs -0.5b (-93.2%)

Counts

2 → 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)))

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	37	53
2	42	53
3	45	53
4	46	53

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 40 to 30 computations (25% saved)

soundness555.0ms (7.5%)

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

Compiler

Compiled 75 to 63 computations (16% saved)

end42.0ms (0.6%)

Compiler: Compiled 37 to 27 computations (27% saved)

Details

analyze5.0ms (0.1%)

sample3.5s (47.2%)

preprocess303.0ms (4.1%)

simplify294.0ms (4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite48.0ms (0.7%)

simplify59.0ms (0.8%)

localize19.0ms (0.3%)

series3.0ms (0%)

rewrite60.0ms (0.8%)

simplify54.0ms (0.7%)

eval46.0ms (0.6%)

prune23.0ms (0.3%)

localize43.0ms (0.6%)

series7.0ms (0.1%)

rewrite81.0ms (1.1%)

simplify140.0ms (1.9%)

localize5.0ms (0.1%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite46.0ms (0.6%)

simplify165.0ms (2.2%)

localize20.0ms (0.3%)

series3.0ms (0%)

rewrite64.0ms (0.9%)

simplify55.0ms (0.7%)

localize21.0ms (0.3%)

series10.0ms (0.1%)

rewrite94.0ms (1.3%)

simplify87.0ms (1.2%)

eval241.0ms (3.3%)

prune313.0ms (4.2%)

localize58.0ms (0.8%)

series3.0ms (0%)

rewrite55.0ms (0.7%)

simplify164.0ms (2.2%)

localize25.0ms (0.3%)

series10.0ms (0.1%)

rewrite239.0ms (3.2%)

simplify112.0ms (1.5%)

eval173.0ms (2.3%)

prune39.0ms (0.5%)

regimes19.0ms (0.3%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

simplify40.0ms (0.5%)

soundness555.0ms (7.5%)

end42.0ms (0.6%)

Profiling