Details

sample65.0ms

Algorithm

intervals

Results

40.0ms	91×	body	1280	valid
11.0ms	53×	body	640	valid
2.0ms	24×	body	320	valid
2.0ms	80×	body	80	valid
1.0ms	86×	body	80	nan
0.0ms	8×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (36.0ms)

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

prune39.0ms

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

localize10.0ms

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)))

rewrite39.0ms

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))))
26.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
57.0ms	(* 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

prune241.0ms

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

localize6.0ms

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))

series183.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
101.0ms	(pow (log (+ 1.0 x)) 3)
41.0ms	(log (+ 1.0 x))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	396	448
1	1590	425
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))

series298.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (log (+ 1.0 x)))
48.0ms	(log (+ 1.0 x))
47.0ms	(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

prune149.0ms

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

regimes100.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b 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

1.0s	2296×	body	1280	valid
346.0ms	1682×	body	640	valid
86.0ms	816×	body	320	valid
62.0ms	2832×	body	80	valid
35.0ms	2703×	body	80	nan
22.0ms	374×	body	160	valid

Details

sample65.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series48.0ms

simplify39.0ms

prune39.0ms

localize10.0ms

rewrite39.0ms

series98.0ms

simplify75.0ms

prune241.0ms

localize6.0ms

rewrite10.0ms

series183.0ms

simplify45.0ms

prune111.0ms

localize7.0ms

rewrite12.0ms

series298.0ms

simplify112.0ms

prune149.0ms

regimes100.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling