Details

sample63.0ms

Algorithm

intervals

Results

36.0ms	75×	body	1280	valid
13.0ms	65×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	84×	body	80	valid
1.0ms	80×	body	80	nan
0.0ms	6×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 40.5b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

2.7b	(log (+ 1.0 x))

rewrite4.0ms

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:

3.0ms

(log (+ 1.0 x))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(log (+ 1.0 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

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

prune42.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.1b

Counts

19 → 5

localize10.0ms

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))))

rewrite34.0ms

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:

21.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
6.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series95.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
46.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify79.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (63.0ms)

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

prune236.0ms

Filtered

132 candidates to 81 candidates (61.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	132	5	137

Merged error: 0.1b

Counts

137 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 x))
0.2b	(cbrt (+ 1.0 x))
2.8b	(log (cbrt (+ 1.0 x)))
2.8b	(log (cbrt (+ 1.0 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

3.0ms	(cbrt (+ 1.0 x))
3.0ms	(cbrt (+ 1.0 x))
4.0ms	(log (cbrt (+ 1.0 x)))
4.0ms	(log (cbrt (+ 1.0 x)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (+ 1.0 x))
88.0ms	(cbrt (+ 1.0 x))
112.0ms	(log (cbrt (+ 1.0 x)))
119.0ms	(log (cbrt (+ 1.0 x)))

simplify71.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	246	538
1	681	502
2	2361	474
3	5001	474

prune198.0ms

Filtered

78 candidates to 66 candidates (84.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	78	5	83

Merged error: 0.1b

Counts

83 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/3 (log (+ 1.0 x)))
0.2b	(cbrt (+ 1.0 x))
2.7b	(log (+ 1.0 x))
2.8b	(log (cbrt (+ 1.0 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`log-prod`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`pow1`
8×	`add-exp-log` `cbrt-prod`
6×	`add-cbrt-cube`
5×	`distribute-lft-out`
4×	`distribute-rgt-in` `log-div` `cbrt-div` `distribute-lft-in` `associate-r` `log-pow` `add-log-exp`
3×	`flip3-+` `associate-l` `flip-+`
2×	`pow1/3` `rem-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

6.0ms	(* 1/3 (log (+ 1.0 x)))
3.0ms	(cbrt (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
4.0ms	(log (cbrt (+ 1.0 x)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* 1/3 (log (+ 1.0 x)))
88.0ms	(cbrt (+ 1.0 x))
40.0ms	(log (+ 1.0 x))
118.0ms	(log (cbrt (+ 1.0 x)))

simplify122.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	371	545
1	1159	490
2	4517	457
3	5003	443

prune177.0ms

Filtered

87 candidates to 64 candidates (73.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	86	6	92

Merged error: 0.1b

Counts

92 → 6

regimes106.0ms

Accuracy

98% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 21.4b

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

969.0ms	2235×	body	1280	valid
363.0ms	1779×	body	640	valid
80.0ms	784×	body	320	valid
58.0ms	2768×	body	80	valid
35.0ms	2675×	body	80	nan
26.0ms	434×	body	160	valid