Details

sample31.0ms

Algorithm

intervals

Results

7.0ms	30×	body	1280	valid
7.0ms	42×	body	640	valid
6.0ms	158×	body	80	valid
2.0ms	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)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 73

Calls

2 calls:

8.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series84.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	234	358
1	1087	326
2	5002	326

prune150.0ms

Filtered

79 candidates to 58 candidates (73.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Merged error: 0.0b

Counts

80 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-/r*`
9×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 109

Calls

2 calls:

7.0ms	(/ x (/ y (sin y)))
4.0ms	(/ y (sin y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ x (/ y (sin y)))
25.0ms	(/ y (sin y))

simplify52.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	377	743
1	1666	707
2	5001	706

prune241.0ms

Filtered

115 candidates to 92 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	115	6	121

Merged error: 0b

Counts

121 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))

rewrite48.0ms

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:

22.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
4.0ms	(cbrt (/ y (sin y)))
4.0ms	(cbrt (/ y (sin y)))
4.0ms	(cbrt (/ y (sin y)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
136.0ms	(cbrt (/ y (sin y)))
137.0ms	(cbrt (/ y (sin y)))
140.0ms	(cbrt (/ y (sin y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

287 → 287

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	444	2795
1	1268	2715
2	5001	2561

prune660.0ms

Filtered

287 candidates to 185 candidates (64.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	286	1	287
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	287	6	293

Merged error: 0b

Counts

293 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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

series718.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
185.0ms	(cbrt y)
176.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify129.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	699	152
4	4132	152
5	5001	152

prune308.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	64	6	70

Merged error: 0b

Counts

70 → 6

regimes97.0ms

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	5	3

end0.0ms

sample830.0ms

Algorithm

intervals

Results

224.0ms	877×	body	1280	valid
203.0ms	5283×	body	80	valid
160.0ms	978×	body	640	valid
64.0ms	556×	body	320	valid
25.0ms	306×	body	160	valid