Details

sample58.0ms

Algorithm

intervals

Results

32.0ms	71×	body	1280	valid
12.0ms	56×	body	640	valid
2.0ms	24×	body	320	valid
2.0ms	93×	body	80	valid
1.0ms	84×	body	80	nan
1.0ms	12×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.4b

localize4.0ms

Local error

Found 1 expressions with local error:

3.1b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

2.0ms

(log (+ 1.0 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(log (+ 1.0 x))

simplify40.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 126

Calls

2 calls:

27.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
22.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series101.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
45.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify73.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	676	882
1	2962	760
2	5001	756

prune286.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (+ 1.0 x)))
3.1b	(log (+ 1.0 x))
3.1b	(log (+ 1.0 x))
3.1b	(log (+ 1.0 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (log (+ 1.0 x)))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))

series290.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (log (+ 1.0 x)))
48.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))
47.0ms	(log (+ 1.0 x))

simplify112.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	306	453
1	946	413
2	3951	376
3	5002	368

prune165.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

3.1b	(log (+ 1.0 x))
3.1b	(log (+ 1.0 x))
3.2b	(log (cbrt (+ 1.0 x)))
3.2b	(log (cbrt (+ 1.0 x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
18×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `add-exp-log` `cbrt-prod` `log-div`
6×	`log-pow`
4×	`cbrt-div` `flip3-+` `rem-log-exp` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`pow1/3`

Counts

4 → 68

Calls

4 calls:

6.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))
3.0ms	(log (cbrt (+ 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(log (+ 1.0 x))
48.0ms	(log (+ 1.0 x))
115.0ms	(log (cbrt (+ 1.0 x)))
117.0ms	(log (cbrt (+ 1.0 x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	212	486
1	536	446
2	1911	426
3	5001	418

prune254.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

98.4% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.7b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

981.0ms	2250×	body	1280	valid
368.0ms	1746×	body	640	valid
83.0ms	783×	body	320	valid
61.0ms	2814×	body	80	valid
40.0ms	2714×	body	80	nan
25.0ms	407×	body	160	valid