Details

sample71.0ms

Algorithm

intervals

Results

43.0ms	91×	body	1280	valid
12.0ms	53×	body	640	valid
3.0ms	24×	body	320	valid
2.0ms	80×	body	80	valid
2.0ms	86×	body	80	nan
1.0ms	8×	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: 41.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

2.4b	(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))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(log (+ 1.0 x))

simplify46.0ms

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

prune40.0ms

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: 0.2b

Counts

19 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:

6.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
27.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
50.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify75.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (63.0ms)

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

prune247.0ms

Filtered

132 candidates to 81 candidates (61.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	131	6	137

Merged error: 0.2b

Counts

137 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.2b	(pow (log (+ 1.0 x)) 3)
2.4b	(log (+ 1.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow`
4×	`log-prod` `add-cbrt-cube`
3×	`pow-unpow` `add-log-exp`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

3 → 63

Calls

3 calls:

2.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
3.0ms	(pow (log (+ 1.0 x)) 3)
3.0ms	(log (+ 1.0 x))

series186.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
97.0ms	(pow (log (+ 1.0 x)) 3)
42.0ms	(log (+ 1.0 x))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	396	444
1	1597	423
2	5001	406

prune111.0ms

Filtered

72 candidates to 40 candidates (55.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	72	6	78

Merged error: 0.2b

Counts

78 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
2.4b	(log (+ 1.0 x))
2.4b	(log (+ 1.0 x))
2.4b	(log (+ 1.0 x))

rewrite12.0ms

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

series283.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (log (+ 1.0 x)))
40.0ms	(log (+ 1.0 x))
46.0ms	(log (+ 1.0 x))
42.0ms	(log (+ 1.0 x))

simplify112.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (105.0ms)

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

prune150.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	69	6	75

Merged error: 0.1b

Counts

75 → 6

regimes98.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	2296×	body	1280	valid
377.0ms	1682×	body	640	valid
96.0ms	816×	body	320	valid
76.0ms	2832×	body	80	valid
53.0ms	2703×	body	80	nan
29.0ms	374×	body	160	valid