Details

sample58.0ms

Algorithm

intervals

Results

31.0ms	66×	body	1280	valid
13.0ms	58×	body	640	valid
3.0ms	31×	body	320	valid
2.0ms	81×	body	80	valid
1.0ms	71×	body	80	nan
1.0ms	20×	body	160	valid

simplify5.0ms

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 (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: 41.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.6b	(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))

series44.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(log (+ 1.0 x))

simplify48.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	120	95
1	323	86
2	1147	81
3	5002	78

prune37.0ms

Filtered

18 candidates to 13 candidates (27.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	4	19

Merged error: 0.0b

Counts

19 → 4

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))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

136×	`add-sqr-sqrt`
96×	`times-frac`
82×	`unpow-prod-down`
76×	`*-un-lft-identity`
68×	`associate-r`
57×	`associate-*r/`
49×	`add-cube-cbrt`
42×	`frac-sub`
38×	`unpow2` `sqr-pow`
34×	`unswap-sqr`
27×	`associate-/l*`
25×	`add-exp-log`
24×	`associate-/r*`
21×	`flip3-+` `flip-+`
18×	`difference-of-squares`
12×	`associate-l`
10×	`prod-exp` `distribute-lft-out--`
9×	`div-exp` `add-log-exp`
8×	`pow1` `distribute-lft-out`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `clear-num` `un-div-inv`
5×	`associate--l+`
4×	`log-pow`
3×	`associate-+r+` `log-prod` `frac-2neg` `diff-log`
2×	`sum-log` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

2 → 219

Calls

2 calls:

24.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
64.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series102.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
44.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify60.0ms

Algorithm

egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1179	2638
1	5001	2391

prune383.0ms

Filtered

225 candidates to 125 candidates (44.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	225	4	229

Merged error: 0.0b

Counts

229 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

5.6b	(log (sqrt (+ 1.0 x)))
5.6b	(log (sqrt (+ 1.0 x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

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

series175.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(log (sqrt (+ 1.0 x)))
88.0ms	(log (sqrt (+ 1.0 x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	134	298
1	335	268
2	1185	258
3	5002	250

prune76.0ms

Filtered

46 candidates to 32 candidates (30.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
5.6b	(log (+ 1.0 x))
5.6b	(log (+ 1.0 x))
5.6b	(log (+ 1.0 x))

rewrite14.0ms

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

series294.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (log (+ 1.0 x)))
43.0ms	(log (+ 1.0 x))
48.0ms	(log (+ 1.0 x))
44.0ms	(log (+ 1.0 x))

simplify123.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	304	453
1	942	413
2	3937	376
3	5001	370

prune135.0ms

Filtered

69 candidates to 52 candidates (24.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

regimes78.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

992.0ms	2242×	body	1280	valid
343.0ms	1625×	body	640	valid
96.0ms	879×	body	320	valid
62.0ms	2814×	body	80	valid
37.0ms	2681×	body	80	nan
30.0ms	440×	body	160	valid