Details

sample10.0ms

Algorithm

intervals

Results

5.0ms

341×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune1.0ms

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: 1.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

1.3b	(/ 1.0 (* x x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt` `times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-/r*`
12×	`swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`*-commutative` `unswap-sqr`
3×	`associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 77

Calls

1 calls:

7.0ms

(/ 1.0 (* x x))

series26.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ 1.0 (* x x))

simplify39.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	260	399
1	1163	372
2	5001	359

prune84.0ms

Filtered

80 candidates to 47 candidates (58.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1.0 x) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/l*`
9×	`associate-/l/`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`pow1` `add-log-exp`

Counts

1 → 78

Calls

1 calls:

7.0ms

(/ (/ 1.0 x) x)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(/ (/ 1.0 x) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	320	466
1	1190	432
2	5001	423

prune100.0ms

Filtered

81 candidates to 56 candidates (69.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	80	8	88

Merged error: 0.0b

Counts

88 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series754.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt x) (cbrt x))
182.0ms	(cbrt x)
181.0ms	(cbrt x)
184.0ms	(cbrt x)

simplify100.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune139.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	87	9	96

Merged error: 0.0b

Counts

96 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b	(cbrt (/ 1.0 x))
0.6b	(cbrt (/ 1.0 x))
0.6b	(cbrt (/ 1.0 x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

207×	`cbrt-div`
127×	`add-sqr-sqrt`
103×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
81×	`frac-times`
69×	`times-frac` `associate-/r` `associate-/l`
23×	`frac-2neg` `clear-num`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `associate-r/` `associate-l/` `unswap-sqr`
8×	`add-cbrt-cube`
7×	`div-inv`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 267

Calls

4 calls:

17.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
3.0ms	(cbrt (/ 1.0 x))
3.0ms	(cbrt (/ 1.0 x))
3.0ms	(cbrt (/ 1.0 x))

series856.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
202.0ms	(cbrt (/ 1.0 x))
206.0ms	(cbrt (/ 1.0 x))
206.0ms	(cbrt (/ 1.0 x))

simplify64.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	373	2135
1	1067	2074
2	5001	1943

prune418.0ms

Filtered

279 candidates to 173 candidates (62.0%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	277	2	279
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	278	10	288

Merged error: 0.0b

Counts

288 → 10

regimes90.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2

end0.0ms

sample255.0ms

Algorithm

intervals

Results

146.0ms

10623×

body

valid