Details

sample27.0ms

Algorithm

intervals

Results

6.0ms	174×	body	80	valid
6.0ms	27×	body	1280	valid
4.0ms	25×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	11×	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: 0.2b

Counts

2 → 1

localize9.0ms

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:

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

series78.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* x (/ (sin y) y))
25.0ms	(/ (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

prune134.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	60	9	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	9	70

Merged error: 0.0b

Counts

70 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (sin y) y) x)
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-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

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

series60.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (/ (sin y) y) x)
24.0ms	(/ (sin y) y)

simplify143.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	222	328
1	874	295
2	4435	295
3	5003	295

prune144.0ms

Filtered

69 candidates to 53 candidates (76.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	71	7	78

Merged error: 0.0b

Counts

78 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ 1 (/ y (sin y))) x)
0.1b	(/ y (sin y))
0.3b	(/ 1 (/ y (sin y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

3 → 181

Calls

3 calls:

16.0ms	(* (/ 1 (/ y (sin y))) x)
3.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series85.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (/ 1 (/ y (sin y))) x)
21.0ms	(/ y (sin y))
24.0ms	(/ 1 (/ y (sin y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	562	1185
1	2702	1026
2	5003	931

prune320.0ms

Filtered

190 candidates to 124 candidates (65.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	186	4	190
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	189	8	197

Merged error: 0b

Counts

197 → 8

localize9.0ms

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))

rewrite26.0ms

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:

13.0ms	(* (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))

series539.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
127.0ms	(cbrt (/ (sin y) y))
120.0ms	(cbrt (/ (sin y) y))
124.0ms	(cbrt (/ (sin y) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (38.0ms)

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

prune450.0ms

Filtered

164 candidates to 134 candidates (81.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	164	8	172

Merged error: 0b

Counts

172 → 8

regimes77.0ms

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	10	4
1	10	4

end0.0ms

sample856.0ms

Algorithm

intervals

Results

251.0ms	988×	body	1280	valid
199.0ms	5173×	body	80	valid
164.0ms	973×	body	640	valid
61.0ms	542×	body	320	valid
25.0ms	324×	body	160	valid