Details

sample121.0ms

Algorithm

intervals

Results

57.0ms	107×	body	1280	valid
26.0ms	82×	body	640	valid
12.0ms	273×	body	80	nan
9.0ms	43×	body	320	valid
2.0ms	17×	body	160	valid
0.0ms	7×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

11.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series169.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
126.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify137.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	354	672
1	1096	638
2	4786	623
3	5001	622

prune180.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
4.5b	(log (- 1.0 eps))
4.7b	(log (+ 1.0 eps))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`fma-neg` `associate--r+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 87

Calls

3 calls:

9.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms	(log (- 1.0 eps))
2.0ms	(log (+ 1.0 eps))

series355.0ms

Counts

3 → 9

Calls

3 calls:

265.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
47.0ms	(log (- 1.0 eps))
43.0ms	(log (+ 1.0 eps))

simplify137.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	377	836
1	1105	638
2	4792	623
3	5001	623

prune169.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
148×	`associate-r`
117×	`add-sqr-sqrt`
80×	`unpow-prod-down` `cube-prod`
75×	`add-cube-cbrt` `*-un-lft-identity`
32×	`sqr-pow`
24×	`add-exp-log` `cube-mult` `unpow3`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 192

Calls

1 calls:

50.0ms

(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify76.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	634	1016
1	3082	854
2	5001	854

prune406.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	11
1	28	11
2	28	11

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	3396×	body	1280	valid
636.0ms	2534×	body	640	valid
303.0ms	8176×	body	80	nan
198.0ms	1256×	body	320	valid
66.0ms	628×	body	160	valid
12.0ms	186×	body	80	valid