Details

analyze6.0ms

Algorithm: search

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune3.0ms

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: 0.5b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ 1.0 (* x x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

7.0ms

(/ 1.0 (* x x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1.0 (* x x))

simplify91.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	99	86
1	320	71
2	952	71
3	4497	71
4	5001	71

prune34.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ 1.0 x) x)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/ (/ 1.0 x) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	311	449
1	1180	415
2	5002	406

prune81.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

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))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

12.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))
3.0ms	(cbrt (/ 1.0 x))

series103.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
24.0ms	(cbrt (/ 1.0 x))
26.0ms	(cbrt (/ 1.0 x))
24.0ms	(cbrt (/ 1.0 x))

simplify143.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	277	1114
1	931	1076
2	4965	996
3	5002	996

prune296.0ms

Filtered

119 candidates to 156 candidates (-31.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	156	6	162

Merged error: 0.0b

Counts

162 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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)

series93.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt x) (cbrt x))
24.0ms	(cbrt x)
22.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify72.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune67.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

regimes143.0ms

Accuracy

0% (0.1b 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

analyze3.0ms

Algorithm: search

sample209.0ms

Algorithm

intervals

Results

129.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze6.0ms

sample15.0ms

simplify6.0ms

prune3.0ms

localize6.0ms

rewrite7.0ms

series3.0ms

simplify91.0ms

prune34.0ms

localize3.0ms

rewrite9.0ms

series4.0ms

simplify35.0ms

prune81.0ms

localize7.0ms

rewrite24.0ms

series103.0ms

simplify143.0ms

prune296.0ms

localize8.0ms

rewrite10.0ms

series93.0ms

simplify72.0ms

prune67.0ms

regimes143.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample209.0ms

Profiling