Details

sample62.0ms

Algorithm

intervals

Results

40.0ms	85×	body	1280	valid
9.0ms	48×	body	640	valid
2.0ms	24×	body	320	valid
2.0ms	90×	body	80	valid
1.0ms	79×	body	80	nan
1.0ms	9×	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: 39.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

2.5b	(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))

series42.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(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

prune48.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	6	19

Merged error: 0.1b

Counts

19 → 6

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`diff-log` `associate-*r/` `frac-sub`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+`

Counts

1 → 16

Calls

1 calls:

6.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify125.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	181	252
1	733	234
2	4310	223
3	5001	223

prune58.0ms

Filtered

19 candidates to 14 candidates (73.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.1b

Counts

25 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- 1.0 (* x 0.5)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

5.0ms

(* x (- 1.0 (* x 0.5)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(* x (- 1.0 (* x 0.5)))

simplify87.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	130
1	534	113
2	2890	113
3	5002	113

prune54.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	27	7	34

Merged error: 0.1b

Counts

34 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series741.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
185.0ms	(cbrt x)
178.0ms	(cbrt x)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune184.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	85	7	92

Merged error: 0.1b

Counts

92 → 7

regimes102.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.1b

bsearch2.0ms

simplify1.0ms

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

995.0ms	2296×	body	1280	valid
325.0ms	1611×	body	640	valid
80.0ms	791×	body	320	valid
58.0ms	2874×	body	80	valid
34.0ms	2660×	body	80	nan
25.0ms	428×	body	160	valid