Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	176×	body	80	valid
7.0ms	26×	body	1280	valid
3.0ms	26×	body	320	valid
3.0ms	18×	body	640	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))
0.1b	(/ (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)

series81.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify33.0ms

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

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 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-r`
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-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 182

Calls

3 calls:

3.0ms	(/ y (sin y))
15.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ 1 (/ y (sin y)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ y (sin y))
54.0ms	(* x (/ 1 (/ y (sin y))))
25.0ms	(/ 1 (/ y (sin y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	576	1226
1	2906	1067
2	5001	946

prune255.0ms

Filtered

191 candidates to 120 candidates (62.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	193	7	200

Merged error: 0.0b

Counts

200 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

6.0ms	(/ x (/ y (sin y)))
3.0ms	(/ y (sin y))

series74.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ x (/ y (sin y)))
21.0ms	(/ y (sin y))

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	371	723
1	1637	687
2	5001	686

prune190.0ms

Filtered

107 candidates to 89 candidates (83.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	107	7	114

Merged error: 0b

Counts

114 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
35×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
19×	`add-cbrt-cube`
10×	`cbrt-undiv`
9×	`associate-/l*`
6×	`associate-/r/`
4×	`pow1` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 309

Calls

3 calls:

13.0ms	(/ x (/ 1 (/ (sin y) y)))
4.0ms	(/ (sin y) y)
6.0ms	(/ 1 (/ (sin y) y))

series103.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ x (/ 1 (/ (sin y) y)))
25.0ms	(/ (sin y) y)
23.0ms	(/ 1 (/ (sin y) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

318 → 318

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1071	2948
1	5001	2583

prune455.0ms

Filtered

318 candidates to 206 candidates (64.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	318	0	318
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	318	7	325

Merged error: 0b

Counts

325 → 7

regimes95.0ms

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	9	4
1	9	4

end0.0ms

sample880.0ms

Algorithm

intervals

Results

251.0ms	966×	body	1280	valid
211.0ms	5148×	body	80	valid
163.0ms	968×	body	640	valid
78.0ms	623×	body	320	valid
25.0ms	295×	body	160	valid