Details

sample73.0ms

Algorithm

intervals

Results

41.0ms	87×	body	1280	valid
12.0ms	55×	body	640	valid
4.0ms	34×	body	320	valid
2.0ms	124×	body	80	nan
2.0ms	69×	body	80	valid
1.0ms	11×	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 (100.0%)

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: 44.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

3.3b	(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:

3.0ms

(log (+ 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	128	97
1	354	87
2	1280	81
3	5001	78

prune38.0ms

Filtered

18 candidates to 13 candidates (27.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

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)))

rewrite33.0ms

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))))
20.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
5.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify72.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	676	880
1	2962	757
2	5001	753

prune222.0ms

Filtered

132 candidates to 81 candidates (38.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	132	4	136

Merged error: 0.1b

Counts

136 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
3.4b	(log (sqrt (+ 1.0 x)))
3.4b	(log (sqrt (+ 1.0 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
4.0ms	(sqrt (+ 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

simplify117.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	265	550
1	904	520
2	3891	506
3	5001	494

prune167.0ms

Filtered

84 candidates to 64 candidates (23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	84	4	88

Merged error: 0.1b

Counts

88 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ 1.0 x)))
3.4b	(log (sqrt (+ 1.0 x)))
3.5b	(log (sqrt (sqrt (+ 1.0 x))))
3.5b	(log (sqrt (sqrt (+ 1.0 x))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`sqrt-prod`
27×	`log-prod`
22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`pow1` `add-cube-cbrt` `sqrt-div`
13×	`sqrt-pow1` `log-pow`
7×	`add-exp-log` `pow1/2`
6×	`log-div`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp`
2×	`rem-sqrt-square`

Counts

4 → 92

Calls

4 calls:

4.0ms	(sqrt (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))
5.0ms	(log (sqrt (sqrt (+ 1.0 x))))
5.0ms	(log (sqrt (sqrt (+ 1.0 x))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))
8.0ms	(log (sqrt (sqrt (+ 1.0 x))))
8.0ms	(log (sqrt (sqrt (+ 1.0 x))))

simplify43.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	404	804
1	1349	752
2	5002	687

prune254.0ms

Filtered

104 candidates to 71 candidates (31.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Merged error: 0.1b

Counts

108 → 4

regimes160.0ms

Accuracy

98.1% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 16.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	2517×	body	1280	valid
424.0ms	1870×	body	640	valid
120.0ms	980×	body	320	valid
74.0ms	4036×	body	80	nan
61.0ms	2176×	body	80	valid
36.0ms	457×	body	160	valid

Details

sample73.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite3.0ms

series3.0ms

simplify39.0ms

prune38.0ms

localize10.0ms

rewrite33.0ms

series10.0ms

simplify72.0ms

prune222.0ms

localize6.0ms

rewrite15.0ms

series18.0ms

simplify117.0ms

prune167.0ms

localize9.0ms

rewrite22.0ms

series27.0ms

simplify43.0ms

prune254.0ms

regimes160.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.1s

Profiling