Details

analyze4.0ms (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)

sample3.4s (69.8%)

Results

2.1s	4141×	body	1024	valid
756.0ms	2071×	body	512	valid
274.0ms	419×	body	2048	valid
245.0ms	1625×	body	256	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess251.0ms (5.2%)

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)

simplify241.0ms (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

Counts

1 → 3

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 31 to 25 computations (19.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	58.8b	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 20 to 16 computations (20% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 26 computations (25.7% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (1%)

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))))))))

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

655×	`fma-def_binary64`
450×	`fma-neg_binary64`
354×	`distribute-rgt-in_binary64`
343×	`unswap-sqr_binary64`
324×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1309
1	527	1180
2	1850	1100
3	7624	1100

Stop Event

1×	node limit

Counts

86 → 136

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)))))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 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)))))
(-.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 (neg.f64 x) -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(*.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))
(*.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)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 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))))))
(/.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))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)
(neg.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 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))))
(.f64 (/.f64 (+.f64 1 x) (-.f64 1 (.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(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)))))
(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)))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

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 2/5 (pow.f64 x 5) (*.f64 2 x)))
(+.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)))))
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(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(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)))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 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)))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

localize9.0ms (0.2%)

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)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite38.0ms (0.8%)

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)))))))

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary64`
424×	`div-sub_binary64`
299×	`cancel-sign-sub-inv_binary64`
236×	`times-frac_binary64`
215×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	357
1	340	351
2	694	351
3	2486	351

Stop Event

1×	node limit

Counts

47 → 58

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 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 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)))
(+.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)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 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))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 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))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.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)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 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))))))
(/.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))))
(/.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))))))
(/.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))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))

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))))
(+.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)))))
(*.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 -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)))
(log.f64 -1)
(neg.f64 (log.f64 -1))
(+.f64 (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 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.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 2/3 (/.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))))))
(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 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(neg.f64 (log.f64 -1))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(neg.f64 (log.f64 -1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(neg.f64 (log.f64 -1))
(+.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)))
(neg.f64 (log.f64 -1))
(+.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)))
(neg.f64 (log.f64 -1))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(neg.f64 (log.f64 -1))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(neg.f64 (log.f64 -1))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(neg.f64 (log.f64 -1))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(neg.f64 (log.f64 -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (log.f64 -1))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (log.f64 -1))
(.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))))))
(neg.f64 (log.f64 -1))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (log.f64 -1))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(neg.f64 (log.f64 -1))
(/.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))))
(neg.f64 (log.f64 -1))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(neg.f64 (log.f64 -1))
(/.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)))))
(neg.f64 (log.f64 -1))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(neg.f64 (log.f64 -1))
(/.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))))))
(neg.f64 (log.f64 -1))
(/.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))))
(neg.f64 (log.f64 -1))
(/.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))))))
(neg.f64 (log.f64 -1))
(/.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))))
(neg.f64 (log.f64 -1))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(neg.f64 (log.f64 -1))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(neg.f64 (log.f64 -1))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(neg.f64 (log.f64 -1))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (log.f64 -1))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(neg.f64 (log.f64 -1))
(log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))
(neg.f64 (log.f64 -1))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(neg.f64 (log.f64 -1))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (log.f64 -1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (log.f64 -1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (log.f64 -1))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(neg.f64 (log.f64 -1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(neg.f64 (log.f64 -1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(neg.f64 (log.f64 -1))

eval56.0ms (1.2%)

Compiler: Compiled 2932 to 2008 computations (31.5% saved)

prune24.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	193	3	196

Error

Counts

196 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶	0.3b	(.f64 1/2 (.f64 2 x))
✓	58.8b	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize5.0ms (0.1%)

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

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

series3.0ms (0.1%)

Counts

2 → 3

Calls

6 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	@	inf	(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
0.0ms	x	@	inf	(*.f64 2/3 (pow.f64 x 3))
0.0ms	x	@	0	(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`pow1_binary64`
855×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	200	18
2	2377	18

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

((#(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 (*.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 (pow.f64 x 3) 3) 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 cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 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 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))))

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

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-neg_binary64`
407×	`distribute-rgt-neg-in_binary64`
393×	`div-sub_binary64`
345×	`fma-def_binary64`
299×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	985
1	298	873
2	1036	778
3	4299	778

Stop Event

1×	node limit

Counts

51 → 62

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(-.f64 (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 4) (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 4/9) (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))
(.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)) 1)
(.f64 1 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)))
(.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))))
(.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (pow.f64 x 6) 4/9) (-.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (neg.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9))) (neg.f64 (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 x x) 4)) (-.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)
(pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (cbrt.f64 (.f64 x 2)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 2) (.f64 x (cbrt.f64 2/3)) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 x 2))

Outputs
(*.f64 2 x)
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) 8/27))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 1)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (/.f64 (.f64 (.f64 x x) 4) (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 4/9) (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)) 1)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 1 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (.f64 (pow.f64 x 3) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x -2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 2 (*.f64 -2/3 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 2/3 (.f64 (pow.f64 x 4) -2) (*.f64 (pow.f64 x 6) 4/9))))
(.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (.f64 (pow.f64 x 3) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x -2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 2 (*.f64 -2/3 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 2/3 (.f64 (pow.f64 x 4) -2) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (.f64 (pow.f64 x 3) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x -2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 2 (*.f64 -2/3 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 2/3 (.f64 (pow.f64 x 4) -2) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (pow.f64 x 6) 4/9) (-.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (.f64 (pow.f64 x 3) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x -2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 2 (*.f64 -2/3 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 2/3 (.f64 (pow.f64 x 4) -2) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (neg.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (.f64 (pow.f64 x 3) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x -2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 2 (*.f64 -2/3 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 2/3 (.f64 (pow.f64 x 4) -2) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9))) (neg.f64 (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 x x) 4)) (-.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 3)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 1 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (cbrt.f64 (.f64 x 2)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 2 x)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (cbrt.f64 (.f64 2 x)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 2) (.f64 x (cbrt.f64 2/3)) (*.f64 x 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 x 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 0)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))

eval25.0ms (0.5%)

Compiler: Compiled 1130 to 910 computations (19.5% saved)

prune8.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	62	3	65

Error

Counts

65 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓	0.3b	(.f64 1/2 (.f64 2 x))
✓	58.8b	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes17.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 96 to 76 computations (20.8% saved)

regimes15.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
0.2b	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
0.2b	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
0.2b	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`
0.2b	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 88 to 70 computations (20.5% saved)

regimes8.0ms (0.2%)

Accuracy

Total -58.6b remaining (-17423.4%)

Threshold costs -58.6b (-17423.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 2 x))

Calls

3 calls:

3.0ms	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
0.3b	1	`x`
0.3b	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
0.3b	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-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	17	36
1	29	36
2	34	36
3	37	36
4	38	36

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 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(.f64 1/2 (.f64 2 x))

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

soundness434.0ms (9%)

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)

end25.0ms (0.5%)

Compiler: Compiled 25 to 20 computations (20% saved)

Details

analyze4.0ms (0.1%)

sample3.4s (69.8%)

preprocess251.0ms (5.2%)

simplify241.0ms (5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

rewrite46.0ms (1%)

simplify58.0ms (1.2%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite38.0ms (0.8%)

simplify45.0ms (0.9%)

eval56.0ms (1.2%)

prune24.0ms (0.5%)

localize5.0ms (0.1%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

rewrite52.0ms (1.1%)

simplify47.0ms (1%)

eval25.0ms (0.5%)

prune8.0ms (0.2%)

regimes17.0ms (0.3%)

regimes15.0ms (0.3%)

regimes8.0ms (0.2%)

simplify4.0ms (0.1%)

soundness434.0ms (9%)

end25.0ms (0.5%)

Profiling