Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	26×	body	1280	valid
6.0ms	167×	body	80	valid
6.0ms	38×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	10×	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))
0.2b	(/ (sin y) y)

rewrite12.0ms

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)

series77.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

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

prune124.0ms

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: 0b

Counts

70 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (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))

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×	`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:

12.0ms	(* (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))

series528.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
124.0ms	(cbrt (/ (sin y) y))
121.0ms	(cbrt (/ (sin y) y))
125.0ms	(cbrt (/ (sin y) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (31.0ms)

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

prune394.0ms

Filtered

164 candidates to 134 candidates (81.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	164	8	172

Merged error: 0b

Counts

172 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

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`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series901.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt y) (cbrt y))
332.0ms	(cbrt y)
209.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune193.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	93	8	101

Merged error: 0b

Counts

101 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
8.3b	(cbrt (* x (/ (sin y) y)))
8.3b	(cbrt (* x (/ (sin y) y)))
8.3b	(cbrt (* x (/ (sin y) y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `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-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
4.0ms	(cbrt (* x (/ (sin y) y)))
4.0ms	(cbrt (* x (/ (sin y) y)))
4.0ms	(cbrt (* x (/ (sin y) y)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
114.0ms	(cbrt (* x (/ (sin y) y)))
115.0ms	(cbrt (* x (/ (sin y) y)))
120.0ms	(cbrt (* x (/ (sin y) y)))

simplify137.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	210	616
1	834	549
2	4674	504
3	5001	504

prune190.0ms

Filtered

84 candidates to 69 candidates (82.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	84	8	92

Merged error: 0b

Counts

92 → 8

regimes107.0ms

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

sample807.0ms

Algorithm

intervals

Results

226.0ms	888×	body	1280	valid
185.0ms	5206×	body	80	valid
156.0ms	1014×	body	640	valid
64.0ms	572×	body	320	valid
29.0ms	320×	body	160	valid