Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	30×	body	1280	valid
7.0ms	42×	body	640	valid
6.0ms	158×	body	80	valid
1.0ms	13×	body	320	valid
1.0ms	13×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

prune2.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify31.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302

prune133.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	8	70

Merged error: 0.0b

Counts

70 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 152

Calls

4 calls:

11.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series551.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
125.0ms	(cbrt (/ (sin y) y))
131.0ms	(cbrt (/ (sin y) y))
132.0ms	(cbrt (/ (sin y) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	302	1455
1	1021	1402
2	5001	1328

prune447.0ms

Filtered

164 candidates to 134 candidates (81.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	161	3	164
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	163	9	172

Merged error: 0b

Counts

172 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series600.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (sin y))
166.0ms	(cbrt y)
166.0ms	(cbrt y)
169.0ms	(cbrt y)

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	92	196
1	196	182
2	487	174
3	1673	174
4	5001	174

prune258.0ms

Filtered

64 candidates to 55 candidates (85.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	65	8	73

Merged error: 0b

Counts

73 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (* (cbrt y) (cbrt y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(cbrt (* (cbrt y) (cbrt y)))

series798.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
176.0ms	(cbrt y)
184.0ms	(cbrt y)
262.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (82.0ms)

Iter	Nodes	Cost
0	82	202
1	172	184
2	563	174
3	2341	174
4	5002	171

prune315.0ms

Filtered

62 candidates to 56 candidates (90.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	62	8	70

Merged error: 0b

Counts

70 → 8

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample822.0ms

Algorithm

intervals

Results

224.0ms	877×	body	1280	valid
190.0ms	5283×	body	80	valid
163.0ms	978×	body	640	valid
67.0ms	556×	body	320	valid
24.0ms	306×	body	160	valid