Metrics for logq (problem 3.4.3)

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%	75%	0%	0%	25%	0%	3
40%	25%	37.5%	0%	0%	37.5%	0%	4
66.7%	37.5%	18.7%	0%	0%	43.7%	0%	5
82.4%	43.7%	9.4%	0%	0%	46.9%	0%	6
90.9%	46.9%	4.7%	0%	0%	48.4%	0%	7
95.4%	48.4%	2.3%	0%	0%	49.2%	0%	8
97.7%	49.2%	1.2%	0%	0%	49.6%	0%	9
98.8%	49.6%	0.6%	0%	0%	49.8%	0%	10
99.4%	49.8%	0.3%	0%	0%	49.9%	0%	11
99.7%	49.9%	0.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample3.3s (55.4%)

Results

2.2s	4164×	body	1024	valid
666.0ms	2027×	body	512	valid
238.0ms	392×	body	2048	valid
225.0ms	1673×	body	256	valid
1.0ms	14×	body	256	invalid

Bogosity

preprocess332.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

8722×	`fma-def`
1220×	`unsub-neg`
1030×	`fma-neg`
668×	`associate-+r+`
656×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	37	38
2	70	38
3	148	38
4	377	38
5	984	38
6	1861	38
7	2532	38
8	3523	38
9	4766	38
10	5322	38
11	5483	38
12	5658	38
13	6107	38
14	7004	38
15	7072	38
16	7104	38
17	7124	38
18	7216	38
19	7357	38
20	7477	38
21	7477	38

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify260.0ms (4.4%)

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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

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))
▶	8.9%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
▶	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	8.9%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 32 to 24 computations (25% saved)

localize148.0ms (2.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	99.9%	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓	9.1%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite321.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`prod-diff`
920×	`log-prod`
676×	`fma-def`
448×	`pow-prod-up`
412×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	279	49
2	3805	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

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

Outputs
0
1
0

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1482×	`fma-def`
1230×	`fma-neg`
1004×	`times-frac`
874×	`associate-*r/`
848×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	945
1	182	935
2	460	929
3	1293	917
4	3996	909

Stop Event

1×	node limit

Counts

39 → 66

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 -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))))))
0
1
0

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 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.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)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.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 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.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 (-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 eps) (/.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)))
(-.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 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.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 (-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(fma.f64 -2 eps (fma.f64 eps (*.f64 eps 2) 1))
(fma.f64 eps (fma.f64 eps 2 -2) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (+.f64 (fma.f64 2 (.f64 eps eps) 1) (.f64 -2 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1)))
(fma.f64 -2 eps (fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (*.f64 eps 2) 1)))
(fma.f64 -2 (pow.f64 eps 3) (fma.f64 eps (fma.f64 eps 2 -2) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))
(-.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 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3)))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (*.f64 (/.f64 (/.f64 1 eps) eps) (+.f64 (/.f64 2 eps) -2))))
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 (/.f64 1 eps) eps) (+.f64 -2 (/.f64 2 eps)) -1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 -2 (*.f64 eps eps))))
(-.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 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 eps) (-.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 eps eps)) (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3)))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (*.f64 (/.f64 (/.f64 1 eps) eps) (+.f64 (/.f64 2 eps) -2))))
(+.f64 (/.f64 2 eps) (fma.f64 (/.f64 (/.f64 1 eps) eps) (+.f64 -2 (/.f64 2 eps)) -1))
(*.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 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.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)))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (fma.f64 -2/5 (pow.f64 eps 5) (*.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 eps) (/.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -2 eps)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.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 (-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(-.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 eps)))
(-.f64 (neg.f64 (log.f64 -1)) (/.f64 2 eps))
(fma.f64 -1 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (/.f64 -2 eps) (log.f64 -1))
(-.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3)))
(-.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 (neg.f64 (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 -1) (/.f64 -2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
(-.f64 (+.f64 (+.f64 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))) (log.f64 -1))
(+.f64 (+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5)))
0
1
0

eval122.0ms (2%)

Compiler: Compiled 820 to 660 computations (19.5% saved)

prune12.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	64	4	68

Accurracy

100.0%

Counts

68 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
▶	99.1%	(*.f64 -2 eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0
▶	99.4%	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
▶	99.1%	(*.f64 -2 eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0

Compiler

Compiled 48 to 36 computations (25% saved)

localize92.0ms (1.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
✓	99.5%	(*.f64 eps -2/3)

Compiler

Compiled 27 to 18 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite102.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`pow1`
1522×	`add-exp-log`
1522×	`log1p-expm1-u`
1522×	`expm1-log1p-u`
1490×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	181	28
2	2049	28

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

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

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-r`
1344×	`log-prod`
1134×	`associate-l`
602×	`unswap-sqr`
566×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	698
1	173	698
2	642	698
3	4640	698

Stop Event

1×	node limit

Counts

50 → 35

Calls

Call 1

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

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

eval8.0ms (0.1%)

Compiler: Compiled 345 to 244 computations (29.3% saved)

prune7.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	1	1
Picked	1	1	2
Done	0	1	1
Total	35	4	39

Accurracy

100.0%

Counts

39 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
✓	99.1%	(*.f64 -2 eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0
▶	99.4%	(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
✓	99.1%	(*.f64 -2 eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize54.0ms (0.9%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.f64 (.f64 eps (*.f64 eps -2/3)) eps)
✓	99.9%	(.f64 eps (.f64 eps -2/3))
	99.5%	(*.f64 eps -2/3)

Compiler

Compiled 34 to 22 computations (35.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`pow1`
1186×	`add-exp-log`
1186×	`log1p-expm1-u`
1186×	`expm1-log1p-u`
1160×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	142	26
2	1644	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1386×	`log-prod`
1128×	`fma-def`
922×	`distribute-rgt-in`
888×	`distribute-lft-in`
702×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	598
1	141	598
2	582	598
3	2096	598
4	7458	598

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

eval10.0ms (0.2%)

Compiler: Compiled 472 to 348 computations (26.3% saved)

prune17.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	37	4	41

Accurracy

100.0%

Counts

41 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
✓	99.1%	(*.f64 -2 eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0
✓	99.4%	(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
✓	99.1%	(*.f64 -2 eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
✓	99.1%	(*.f64 -2 eps)
✓	8.9%	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
	5.2%	0

Compiler

Compiled 65 to 46 computations (29.2% saved)

regimes10.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
0
(*.f64 -2 eps)
(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 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 40 computations (29.8% saved)

regimes16.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

Inputs
0
(*.f64 -2 eps)
(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))

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

Calls

3 calls:

8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
4.0ms	eps
2.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Results

Accuracy	Segments	Branch
99.4%	1	`eps`
99.4%	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
99.4%	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
0
(*.f64 -2 eps)
(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`eps`
99.4%	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
99.4%	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(*.f64 -2 eps)

Outputs
(*.f64 -2 eps)

Calls

1 calls:

3.0ms

eps

Results

Accuracy	Segments	Branch
99.1%	1	`eps`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

6.0ms

eps

Results

Accuracy	Segments	Branch
5.2%	1	`eps`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
8×	`+-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	79
1	30	79
2	35	79
3	38	79
4	39	79

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
(*.f64 -2 eps)
0

Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))
(+.f64 (.f64 (.f64 eps (.f64 eps -2/3)) eps) (.f64 -2 eps))
(+.f64 (.f64 eps (.f64 eps (.f64 eps -2/3))) (.f64 eps -2))
(*.f64 -2 eps)
(*.f64 eps -2)
0

Compiler

Compiled 34 to 24 computations (29.4% saved)

soundness816.0ms (13.6%)

Rules

3044×	`fma-def`
1650×	`pow1`
1534×	`prod-diff`
1522×	`add-exp-log`
1522×	`log1p-expm1-u`

Iterations

Useful iterations: 2 (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	13	57
1	279	49
2	3805	3
0	64	945
1	182	935
2	460	929
3	1293	917
4	3996	909
0	9	28
1	181	28
2	2049	28

Stop Event

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

Compiler

Compiled 306 to 223 computations (27.1% saved)

end0.0ms (0%)

preprocess57.0ms (1%)

Compiler: Compiled 110 to 80 computations (27.3% saved)

analyze3.0ms (0.1%)

sample3.3s (55.4%)

preprocess332.0ms (5.6%)

simplify260.0ms (4.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize148.0ms (2.5%)

series4.0ms (0.1%)

rewrite321.0ms (5.4%)

simplify63.0ms (1.1%)

eval122.0ms (2%)

prune12.0ms (0.2%)

localize92.0ms (1.5%)

series3.0ms (0%)

rewrite102.0ms (1.7%)

simplify48.0ms (0.8%)

eval8.0ms (0.1%)

prune7.0ms (0.1%)

localize54.0ms (0.9%)

series2.0ms (0%)

rewrite55.0ms (0.9%)

simplify73.0ms (1.2%)

eval10.0ms (0.2%)

prune17.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes10.0ms (0.2%)

regimes16.0ms (0.3%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

simplify6.0ms (0.1%)

soundness816.0ms (13.6%)

end0.0ms (0%)

preprocess57.0ms (1%)

Profiling