Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

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))

rewrite11.0ms

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` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 79

Calls

1 calls:

7.0ms

(/ 1.0 (* x x))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(/ 1.0 (* x x))

simplify41.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	262	405
1	1165	378
2	5001	365

prune85.0ms

Filtered

82 candidates to 49 candidates (59.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1.0 x) x)

rewrite11.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

1 → 80

Calls

1 calls:

7.0ms

(/ (/ 1.0 x) x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ (/ 1.0 x) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	322	472
1	1192	438
2	5001	429

prune101.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	82	8	90

Merged error: 0.0b

Counts

90 → 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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

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

series746.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
175.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify99.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune164.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	95	9	104

Merged error: 0.0b

Counts

104 → 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))

rewrite45.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 275

Calls

4 calls:

16.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
4.0ms	(cbrt (/ 1.0 x))
4.0ms	(cbrt (/ 1.0 x))
4.0ms	(cbrt (/ 1.0 x))

series839.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
207.0ms	(cbrt (/ 1.0 x))
200.0ms	(cbrt (/ 1.0 x))
195.0ms	(cbrt (/ 1.0 x))

simplify61.0ms

Algorithm

egg-herbie

Counts

287 → 287

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	377	2165
1	1072	2104
2	5002	1973

prune434.0ms

Filtered

287 candidates to 181 candidates (63.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	285	2	287
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	286	10	296

Merged error: 0.0b

Counts

296 → 10

regimes88.0ms

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

sample244.0ms

Algorithm

intervals

Results

143.0ms

10623×

body

valid