Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

335×

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: 0.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ 1.0 (* x x))

rewrite5.0ms

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:

5.0ms

(/ 1.0 (* x x))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(/ 1.0 (* x x))

simplify92.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	86
1	320	71
2	952	71
3	4497	71
4	5002	71

prune31.0ms

Filtered

24 candidates to 16 candidates (66.7%)

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)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(/ (/ 1.0 x) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	311	449
1	1180	415
2	5001	406

prune102.0ms

Filtered

73 candidates to 50 candidates (68.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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))
2.0ms	(cbrt (/ 1.0 x))

series845.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
209.0ms	(cbrt (/ 1.0 x))
203.0ms	(cbrt (/ 1.0 x))
198.0ms	(cbrt (/ 1.0 x))

simplify143.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	222	1079
1	812	1039
2	4659	997
3	5001	993

prune332.0ms

Filtered

156 candidates to 122 candidates (78.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	155	9	164

Merged error: 0.0b

Counts

164 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
99×	`add-sqr-sqrt`
80×	`times-frac`
52×	`add-cube-cbrt` `*-un-lft-identity`
40×	`associate-r`
16×	`associate-l`
15×	`unswap-sqr`
9×	`add-exp-log`
6×	`pow1`
5×	`add-cbrt-cube`
4×	`cbrt-div` `div-inv` `add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 142

Calls

4 calls:

24.0ms	(* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x)))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x)))
189.0ms	(cbrt (/ 1.0 x))
403.0ms	(cbrt (/ 1.0 x))
183.0ms	(cbrt x)

simplify66.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	478	1153
1	2131	1119
2	5001	1112

prune389.0ms

Filtered

154 candidates to 136 candidates (88.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	153	10	163

Merged error: 0.0b

Counts

163 → 10

regimes104.0ms

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

sample307.0ms

Algorithm

intervals

Results

183.0ms

10553×

body

valid