Details

sample10.0ms

Algorithm

intervals

Results

5.0ms

342×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune1.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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))

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` `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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(/ 1.0 (* x x))

simplify45.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (38.0ms)

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

prune83.0ms

Filtered

82 candidates to 49 candidates (40.2%)

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)

series26.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ (/ 1.0 x) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

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

prune101.0ms

Filtered

83 candidates to 58 candidates (30.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	4	1	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:

0.4b	(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
18.6b	(cbrt (/ (/ 1.0 x) x))
18.6b	(cbrt (/ (/ 1.0 x) x))
18.6b	(cbrt (/ (/ 1.0 x) x))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

1708×	`cbrt-div`
1035×	`times-frac`
976×	`associate-/l*`
919×	`add-sqr-sqrt`
863×	`add-cube-cbrt` `*-un-lft-identity`
784×	`frac-times`
549×	`associate-/l/`
366×	`associate-/r*`
325×	`cbrt-prod`
122×	`frac-2neg` `clear-num`
89×	`div-inv`
46×	`swap-sqr` `associate-r` `associate-l`
28×	`associate-r/` `associate-l/`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
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 → 1260

Calls

4 calls:

70.0ms	(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
8.0ms	(cbrt (/ (/ 1.0 x) x))
8.0ms	(cbrt (/ (/ 1.0 x) x))
9.0ms	(cbrt (/ (/ 1.0 x) x))

series885.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
215.0ms	(cbrt (/ (/ 1.0 x) x))
209.0ms	(cbrt (/ (/ 1.0 x) x))
211.0ms	(cbrt (/ (/ 1.0 x) x))

simplify268.0ms

Algorithm

egg-herbie

Counts

1272 → 1272

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	1828	16372
1	3620	16193
2	5003	15783

prune1.8s

Filtered

1272 candidates to 523 candidates (58.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1269	3	1272
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	1272	8	1280

Merged error: 0.0b

Counts

1280 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (/ (sqrt 1.0) (cbrt x)) (cbrt x)))
8.2b	(cbrt (/ (/ (sqrt 1.0) (cbrt x)) x))
18.6b	(cbrt (/ (/ 1.0 x) x))
18.6b	(cbrt (/ (/ 1.0 x) x))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

906×	`times-frac`
781×	`cbrt-prod`
502×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
204×	`sqrt-prod`
181×	`cbrt-div`
124×	`associate-/l*`
48×	`associate-/l/`
33×	`associate-/r*`
23×	`div-inv`
8×	`frac-2neg` `clear-num`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 675

Calls

4 calls:

29.0ms	(cbrt (/ (/ (sqrt 1.0) (cbrt x)) (cbrt x)))
18.0ms	(cbrt (/ (/ (sqrt 1.0) (cbrt x)) x))
8.0ms	(cbrt (/ (/ 1.0 x) x))
8.0ms	(cbrt (/ (/ 1.0 x) x))

series1.3s

Counts

4 → 12

Calls

4 calls:

463.0ms	(cbrt (/ (/ (sqrt 1.0) (cbrt x)) (cbrt x)))
473.0ms	(cbrt (/ (/ (sqrt 1.0) (cbrt x)) x))
201.0ms	(cbrt (/ (/ 1.0 x) x))
208.0ms	(cbrt (/ (/ 1.0 x) x))

simplify131.0ms

Algorithm

egg-herbie

Counts

687 → 687

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2005	9080
1	5001	8940

prune1.8s

Filtered

687 candidates to 410 candidates (40.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	685	2	687
Fresh	1	3	4
Picked	1	0	1
Done	0	3	3
Total	687	8	695

Merged error: 0b

Counts

695 → 8

regimes86.0ms

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

sample251.0ms

Algorithm

intervals

Results

145.0ms

10594×

body

valid