Details

analyze3.0ms (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 10 to 8 computations (20% saved)

sample2.9s (60.1%)

Results

1.8s	4153×	body	1024	valid
524.0ms	2046×	body	512	valid
305.0ms	448×	body	2048	valid
241.0ms	1609×	body	256	valid
1.0ms	8×	body	256	invalid

Bogosity

preprocess271.0ms (5.6%)

Algorithm

2×	egg-herbie

Rules

3044×	`fma-def`
1338×	`distribute-lft-in`
944×	`fma-neg`
932×	`sub-neg`
644×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	20	19
2	30	19
3	44	19
4	74	19
5	106	19
6	163	19
7	296	19
8	602	19
9	1053	19
10	1462	19
11	2037	19
12	2865	19
13	4066	19
14	4900	19
15	4996	19
16	5028	19
17	5028	19
18	6533	19
19	7165	19
20	7243	19
21	7251	19
22	7259	19
23	7259	19
24	7459	19
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify270.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

3044×	`fma-def`
1338×	`distribute-lft-in`
944×	`fma-neg`
932×	`sub-neg`
644×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	20	19
2	30	19
3	44	19
4	74	19
5	106	19
6	163	19
7	296	19
8	602	19
9	1053	19
10	1462	19
11	2037	19
12	2865	19
13	4066	19
14	4900	19
15	4996	19
16	5028	19
17	5028	19
18	6533	19
19	7165	19
20	7243	19
21	7251	19
22	7259	19
23	7259	19
24	7459	19

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

eval1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	7.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize10.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓	91.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite147.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`log-prod`
624×	`prod-diff`
546×	`prod-exp`
528×	`pow-prod-down`
434×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	190	38
2	2601	38

Stop Event

1×	node limit

Counts

2 → 214

Calls

Call 1

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

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

simplify231.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`times-frac`
954×	`fma-neg`
546×	`log-prod`
526×	`fma-def`
500×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	648	14518
1	1666	11814
2	5582	10954

Stop Event

1×	node limit

Counts

238 → 362

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(+.f64 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(+.f64 (.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (/.f64 1 (fma.f64 -1 eps -1))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (neg.f64 eps)))) (log.f64 (*.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps)))))
(+.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (.f64 (log1p.f64 eps) 1))) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (.f64 (log1p.f64 eps) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (.f64 (cbrt.f64 (log1p.f64 eps)) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)) (log.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 eps) -1/2)) (log.f64 (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (hypot.f64 1 (sqrt.f64 eps)))) (log.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (hypot.f64 1 (sqrt.f64 eps)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1)) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log1p.f64 (neg.f64 eps)))
(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log1p.f64 (-.f64 (*.f64 eps eps) eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 0 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(-.f64 (*.f64 1/2 (log1p.f64 (neg.f64 eps))) (log.f64 (/.f64 (+.f64 1 eps) (sqrt.f64 (-.f64 1 eps)))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 eps))) (log.f64 (fma.f64 -1 eps -1)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 eps 3))) (log.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (fma.f64 eps eps eps)))))
(-.f64 (.f64 2 (.f64 1/3 (log1p.f64 (neg.f64 eps)))) (log.f64 (/.f64 (+.f64 1 eps) (cbrt.f64 (-.f64 1 eps)))))
(-.f64 (log1p.f64 (neg.f64 (.f64 eps eps))) (.f64 2 (log1p.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)))))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps)))) (*.f64 1/2 (log1p.f64 eps)))
(-.f64 (log.f64 (-.f64 (+.f64 1 eps) (fma.f64 eps eps eps))) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 eps 3)) 1)) (log.f64 (.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 eps))))
(-.f64 (log.f64 (.f64 (-.f64 1 (.f64 eps eps)) 1)) (*.f64 2 (log1p.f64 eps)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 1 eps)))) (log.f64 (neg.f64 (fma.f64 -1 eps -1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -3) (pow.f64 (/.f64 eps (+.f64 1 eps)) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 1 eps) -2) (+.f64 (pow.f64 (/.f64 eps (+.f64 1 eps)) 2) (*.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 eps) -2) (pow.f64 (/.f64 eps (+.f64 1 eps)) 2))) (log.f64 (+.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 1 eps)))) (log1p.f64 (fma.f64 eps eps eps)))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) 1)) (log1p.f64 eps))
(-.f64 (log.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 1/3 (log1p.f64 eps)))
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(.f64 3 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(.f64 2 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 -1 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(.f64 1/3 (.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 2) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)
(neg.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(fma.f64 1 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 eps))) 2) (cbrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 (neg.f64 eps))) (sqrt.f64 (log1p.f64 (neg.f64 eps))) (neg.f64 (log1p.f64 eps)))
(+.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 eps (+.f64 1 eps)))) (sqrt.f64 (/.f64 eps (+.f64 1 eps))) (/.f64 eps (+.f64 1 eps))))
(+.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps)))) (/.f64 (sqrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 eps (+.f64 1 eps))))
(+.f64 0 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 eps (+.f64 1 eps)) 1))) (fma.f64 (neg.f64 (/.f64 eps (+.f64 1 eps))) 1 (.f64 (/.f64 eps (+.f64 1 eps)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 1 (+.f64 1 eps)) eps))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 eps))) eps (.f64 (/.f64 1 (+.f64 1 eps)) eps)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2) (.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)))) (fma.f64 (neg.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2)))) (fma.f64 (neg.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps)))) (pow.f64 (+.f64 1 eps) -1/2) (.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))))))
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(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 eps (+.f64 1 eps)) 1))) (fma.f64 (neg.f64 (/.f64 eps (+.f64 1 eps))) 1 (*.f64 (/.f64 eps (+.f64 1 eps)) 1)))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 1 (+.f64 1 eps)) eps))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 eps))) eps (*.f64 (/.f64 1 (+.f64 1 eps)) eps)))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2) (*.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 1 eps))) 2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)))) (fma.f64 (neg.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (*.f64 (/.f64 eps (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2)))) (fma.f64 (neg.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps)))) (pow.f64 (+.f64 1 eps) -1/2) (*.f64 (/.f64 eps (hypot.f64 1 (sqrt.f64 eps))) (pow.f64 (+.f64 1 eps) -1/2))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (*.f64 (/.f64 (cbrt.f64 eps) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (*.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 (cbrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (hypot.f64 1 (sqrt.f64 eps)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (hypot.f64 1 (sqrt.f64 eps))) (*.f64 (/.f64 (cbrt.f64 eps) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (hypot.f64 1 (sqrt.f64 eps))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 (sqrt.f64 eps) (+.f64 1 eps)) (/.f64 (sqrt.f64 eps) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (+.f64 1 eps))) (/.f64 (sqrt.f64 eps) 1) (*.f64 (/.f64 (sqrt.f64 eps) (+.f64 1 eps)) (/.f64 (sqrt.f64 eps) 1))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 1 eps)))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (fma.f64 eps (-.f64 eps 1) 1) (/.f64 eps (+.f64 1 (pow.f64 eps 3)))))) (fma.f64 (neg.f64 (fma.f64 eps (-.f64 eps 1) 1)) (/.f64 eps (+.f64 1 (pow.f64 eps 3))) (*.f64 (fma.f64 eps (-.f64 eps 1) 1) (/.f64 eps (+.f64 1 (pow.f64 eps 3))))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (.f64 eps eps))) (-.f64 1 eps) (neg.f64 (.f64 (-.f64 1 eps) (/.f64 eps (-.f64 1 (.f64 eps eps)))))) (fma.f64 (neg.f64 (-.f64 1 eps)) (/.f64 eps (-.f64 1 (.f64 eps eps))) (.f64 (-.f64 1 eps) (/.f64 eps (-.f64 1 (.f64 eps eps))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))))
(-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) 1)
(*.f64 1 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(*.f64 (-.f64 1 eps) (/.f64 1 (+.f64 1 eps)))
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2)) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (.f64 (cbrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(.f64 (sqrt.f64 (-.f64 1 eps)) (.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 1 (+.f64 1 eps))))
(*.f64 (neg.f64 (-.f64 1 eps)) (/.f64 1 (fma.f64 -1 eps -1)))
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))))
(*.f64 (pow.f64 (+.f64 1 eps) -1/2) (/.f64 (-.f64 1 eps) (hypot.f64 1 (sqrt.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (hypot.f64 1 (sqrt.f64 eps))) (/.f64 (cbrt.f64 (-.f64 1 eps)) (hypot.f64 1 (sqrt.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) 1) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2))) (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))
(.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (.f64 eps eps))) (-.f64 1 eps))
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(*.f64 (pow.f64 (E.f64) (log1p.f64 (neg.f64 eps))) (pow.f64 (E.f64) (neg.f64 (log1p.f64 eps))))
(.f64 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (pow.f64 (E.f64) (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(.f64 (pow.f64 (E.f64) (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 2)
(pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -1)
(pow.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1))
(pow.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) 1) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) 1) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(neg.f64 (/.f64 (-.f64 1 eps) (fma.f64 -1 eps -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 eps) (-.f64 1 eps)) -3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 (neg.f64 eps))) -1))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) 1) (neg.f64 (log1p.f64 eps))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
(fma.f64 1 (/.f64 1 (+.f64 1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 eps))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (sqrt.f64 (/.f64 1 (+.f64 1 eps))) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps) (neg.f64 (/.f64 eps (+.f64 1 eps))))

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

localize6.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite77.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`pow1`
1282×	`add-exp-log`
1282×	`log1p-expm1-u`
1282×	`expm1-log1p-u`
1252×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	170	15
2	2307	15

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

simplify109.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1376×	`fma-neg`
852×	`div-sub`
496×	`distribute-lft-out`
472×	`times-frac`
466×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	507
1	352	507
2	722	507
3	2681	507

Stop Event

1×	node limit

Counts

47 → 58

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(*.f64 -1 (log.f64 -1))
(-.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 eps)))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))
(log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(*.f64 -1 (log.f64 -1))
(log.f64 -1)
(-.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))))
(+.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(log.f64 -1)
(+.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))
(log.f64 -1)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))
(log.f64 -1)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))
(log.f64 -1)
(+.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))
(log.f64 -1)
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))
(log.f64 -1)
(*.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(log.f64 -1)
(*.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))
(log.f64 -1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2))
(log.f64 -1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log.f64 -1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log.f64 -1)
(.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(log.f64 -1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log.f64 -1)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))
(log.f64 -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))
(log.f64 -1)
(/.f64 1 (/.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))
(log.f64 -1)
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))
(log.f64 -1)
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))
(log.f64 -1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))
(log.f64 -1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log.f64 -1)
(/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))
(log.f64 -1)
(/.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(log.f64 -1)
(pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)
(log.f64 -1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)
(log.f64 -1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)
(log.f64 -1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)
(log.f64 -1)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))
(log.f64 -1)
(log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))
(log.f64 -1)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))
(log.f64 -1)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log.f64 -1)
(exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log.f64 -1)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))
(log.f64 -1)
(fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))
(log.f64 -1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(log.f64 -1)
(fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))
(log.f64 -1)

eval300.0ms (6.2%)

Compiler: Compiled 10033 to 6557 computations (34.6% saved)

prune62.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	418	2	420
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	419	3	422

Accurracy

100.0%

Counts

422 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
▶	99.6%	(*.f64 -2 eps)
✓	7.2%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 23 to 18 computations (21.7% saved)

localize3.0ms (0.1%)

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

localize10.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 eps 3)
✓	99.8%	(*.f64 -2/3 (pow.f64 eps 3))

Compiler

Compiled 25 to 19 computations (24% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(*.f64 -2/3 (pow.f64 eps 3))
1.0ms	eps	@	-inf	(pow.f64 eps 3)
0.0ms	eps	@	0	(*.f64 -2/3 (pow.f64 eps 3))
0.0ms	eps	@	inf	(pow.f64 eps 3)
0.0ms	eps	@	inf	(*.f64 -2/3 (pow.f64 eps 3))

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`pow1`
1126×	`add-exp-log`
1126×	`log1p-expm1-u`
1126×	`expm1-log1p-u`
1102×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	149	20
2	1572	20

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 eps 3)

Outputs
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 1 (pow.f64 eps 3)) 1)
(.f64 eps (.f64 eps eps))
(*.f64 (pow.f64 eps 3) 1)
(*.f64 1 (pow.f64 eps 3))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (*.f64 eps eps)))
(.f64 (.f64 eps eps) eps)
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (*.f64 eps eps)))
(*.f64 (pow.f64 eps 3/2) (pow.f64 eps 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) 3) eps)
(*.f64 (pow.f64 (sqrt.f64 eps) 3) (pow.f64 (sqrt.f64 eps) 3))
(.f64 (.f64 (*.f64 eps eps) 1) eps)
(.f64 (.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(.f64 (.f64 (*.f64 eps eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(sqrt.f64 (pow.f64 eps 6))
(log.f64 (exp.f64 (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(exp.f64 (*.f64 3 (log.f64 eps)))
(log1p.f64 (expm1.f64 (pow.f64 eps 3)))

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1010×	`fma-neg`
930×	`fma-def`
856×	`log-prod`
796×	`distribute-rgt-in`
796×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	636
1	184	456
2	566	276
3	1935	276
4	7764	276

Stop Event

1×	node limit

Counts

30 → 36

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 1 (pow.f64 eps 3)) 1)
(.f64 eps (.f64 eps eps))
(*.f64 (pow.f64 eps 3) 1)
(*.f64 1 (pow.f64 eps 3))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (*.f64 eps eps)))
(.f64 (.f64 eps eps) eps)
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (*.f64 eps eps)))
(*.f64 (pow.f64 eps 3/2) (pow.f64 eps 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) 3) eps)
(*.f64 (pow.f64 (sqrt.f64 eps) 3) (pow.f64 (sqrt.f64 eps) 3))
(.f64 (.f64 (*.f64 eps eps) 1) eps)
(.f64 (.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(.f64 (.f64 (*.f64 eps eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(sqrt.f64 (pow.f64 eps 6))
(log.f64 (exp.f64 (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(exp.f64 (*.f64 3 (log.f64 eps)))
(log1p.f64 (expm1.f64 (pow.f64 eps 3)))

Outputs
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (sqrt.f64 -2/3) (pow.f64 eps 3/2)) 2)
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) -1)
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(-.f64 (+.f64 1 (pow.f64 eps 3)) 1)
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 eps (.f64 eps eps))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(*.f64 (pow.f64 eps 3) 1)
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(*.f64 1 (pow.f64 eps 3))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (*.f64 eps eps)))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (.f64 eps eps) eps)
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (*.f64 eps eps)))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(*.f64 (pow.f64 eps 3/2) (pow.f64 eps 3/2))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) 3) eps)
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(*.f64 (pow.f64 (sqrt.f64 eps) 3) (pow.f64 (sqrt.f64 eps) 3))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (.f64 (*.f64 eps eps) 1) eps)
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(.f64 (.f64 (*.f64 eps eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(sqrt.f64 (pow.f64 eps 6))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(log.f64 (exp.f64 (pow.f64 eps 3)))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(exp.f64 (*.f64 3 (log.f64 eps)))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)
(log1p.f64 (expm1.f64 (pow.f64 eps 3)))
(+.f64 (+.f64 1 (pow.f64 eps 3)) -1)
(+.f64 (pow.f64 eps 3) 0)
(pow.f64 eps 3)

eval9.0ms (0.2%)

Compiler: Compiled 434 to 326 computations (24.9% saved)

prune5.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	37	2	39

Accurracy

100.0%

Counts

39 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (.f64 (.f64 eps eps) eps)))
✓	99.6%	(*.f64 -2 eps)

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize10.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 (.f64 eps eps) eps)
✓	99.8%	(.f64 -2/3 (.f64 (*.f64 eps eps) eps))

Compiler

Compiled 33 to 14 computations (57.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`pow1`
1106×	`add-exp-log`
1106×	`log1p-expm1-u`
1106×	`expm1-log1p-u`
1080×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	143	20
2	1594	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 -2/3 (.f64 (*.f64 eps eps) eps))
(.f64 (.f64 eps eps) eps)

Outputs
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(sqrt.f64 (*.f64 4/9 (pow.f64 eps 6)))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 1 (pow.f64 eps 3)) 1)
(pow.f64 eps 3)
(pow.f64 (pow.f64 eps 3) 1)
(pow.f64 (pow.f64 (pow.f64 eps 3) 3) 1/3)
(pow.f64 (pow.f64 eps 3/2) 2)
(sqrt.f64 (pow.f64 eps 6))
(log.f64 (exp.f64 (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(exp.f64 (*.f64 (log.f64 eps) 3))
(log1p.f64 (expm1.f64 (pow.f64 eps 3)))

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1966×	`log-prod`
1256×	`fma-def`
1214×	`associate-r`
968×	`associate-l`
634×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	460
1	133	460
2	481	460
3	3551	460

Stop Event

1×	node limit

Counts

46 → 23

Calls

Call 1

Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(sqrt.f64 (*.f64 4/9 (pow.f64 eps 6)))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(-.f64 (+.f64 1 (pow.f64 eps 3)) 1)
(pow.f64 eps 3)
(pow.f64 (pow.f64 eps 3) 1)
(pow.f64 (pow.f64 (pow.f64 eps 3) 3) 1/3)
(pow.f64 (pow.f64 eps 3/2) 2)
(sqrt.f64 (pow.f64 eps 6))
(log.f64 (exp.f64 (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(exp.f64 (*.f64 (log.f64 eps) 3))
(log1p.f64 (expm1.f64 (pow.f64 eps 3)))

Outputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 eps 3)
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(*.f64 -2/3 (pow.f64 eps 3))
(sqrt.f64 (*.f64 4/9 (pow.f64 eps 6)))
(*.f64 -2/3 (pow.f64 eps 3))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(*.f64 -2/3 (pow.f64 eps 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(*.f64 -2/3 (pow.f64 eps 3))
(-.f64 (+.f64 1 (pow.f64 eps 3)) 1)
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 (pow.f64 eps 3) 1)
(pow.f64 eps 3)
(pow.f64 (pow.f64 (pow.f64 eps 3) 3) 1/3)
(pow.f64 eps 3)
(pow.f64 (pow.f64 eps 3/2) 2)
(pow.f64 eps 3)
(sqrt.f64 (pow.f64 eps 6))
(pow.f64 eps 3)
(log.f64 (exp.f64 (pow.f64 eps 3)))
(pow.f64 eps 3)
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(pow.f64 eps 3)
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(pow.f64 eps 3)
(exp.f64 (*.f64 (log.f64 eps) 3))
(pow.f64 eps 3)
(log1p.f64 (expm1.f64 (pow.f64 eps 3)))
(pow.f64 eps 3)

eval6.0ms (0.1%)

Compiler: Compiled 258 to 212 computations (17.8% saved)

prune6.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	23	2	25

Accurracy

100.0%

Counts

25 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 -2 eps) (.f64 -2/3 (.f64 (.f64 eps eps) eps)))
✓	99.6%	(*.f64 -2 eps)

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.2%)

Accuracy

Total -59.5b remaining (-∞%)

Threshold costs -59.5b (-∞%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 -2 eps) (.f64 -2/3 (.f64 (.f64 eps eps) eps)))

Calls

3 calls:

4.0ms	eps
2.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
2.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
100.0%	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 57 to 41 computations (28.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	14	38

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 -2 eps) (.f64 -2/3 (.f64 (.f64 eps eps) eps)))
(*.f64 -2 eps)

Outputs
(+.f64 (.f64 -2 eps) (.f64 -2/3 (.f64 (.f64 eps eps) eps)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (.f64 eps (.f64 eps eps))))
(*.f64 -2 eps)

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness74.0ms (1.5%)

Rules

1204×	`pow1`
1126×	`add-exp-log`
1126×	`log1p-expm1-u`
1126×	`expm1-log1p-u`
1102×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	149	20
2	1572	20

Stop Event

1×	node limit

Compiler

Compiled 21 to 15 computations (28.6% saved)

end60.0ms (1.2%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

Details

analyze3.0ms (0.1%)

sample2.9s (60.1%)

preprocess271.0ms (5.6%)

simplify270.0ms (5.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series3.0ms (0.1%)

rewrite147.0ms (3%)

simplify231.0ms (4.8%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite77.0ms (1.6%)

simplify109.0ms (2.2%)

eval300.0ms (6.2%)

prune62.0ms (1.3%)

localize3.0ms (0.1%)

localize10.0ms (0.2%)

series3.0ms (0.1%)

rewrite52.0ms (1.1%)

simplify72.0ms (1.5%)

eval9.0ms (0.2%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (1.2%)

simplify61.0ms (1.3%)

eval6.0ms (0.1%)

prune6.0ms (0.1%)

regimes9.0ms (0.2%)

simplify5.0ms (0.1%)

soundness74.0ms (1.5%)

end60.0ms (1.2%)

Profiling