Details

sample61.0ms

Algorithm

intervals

Results

19.0ms	69×	body	1280	valid
14.0ms	348×	body	80	valid
10.0ms	59×	body	640	valid
4.0ms	33×	body	320	valid
1.0ms	16×	body	160	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	146	4
4	292	4
5	556	4
6	1543	4
7	5001	4

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: 13.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.0b	(/ (* (sin x) (sinh y)) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
8.0ms	(* (sin x) (sinh y))
6.0ms	(/ (* (sin x) (sinh y)) x)

series242.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
86.0ms	(* (sin x) (sinh y))
98.0ms	(/ (* (sin x) (sinh y)) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	340
1	1273	291
2	5001	273

prune144.0ms

Filtered

64 candidates to 49 candidates (76.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	7	65

Merged error: 0b

Counts

65 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
1.4b	(/ (sin x) (/ x (sinh y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

3.0ms	(/ x (sinh y))
1.0ms	(sinh y)
7.0ms	(/ (sin x) (/ x (sinh y)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(/ x (sinh y))
61.0ms	(sinh y)
91.0ms	(/ (sin x) (/ x (sinh y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	488	956
1	2017	903
2	5001	882

prune284.0ms

Filtered

125 candidates to 104 candidates (83.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	120	5	125
Fresh	5	0	5
Picked	1	0	1
Done	0	1	1
Total	126	6	132

Merged error: 0b

Counts

132 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(* (/ (sin x) x) (sinh y))
0.1b	(/ (sin x) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

1.0ms	(sinh y)
7.0ms	(* (/ (sin x) x) (sinh y))
4.0ms	(/ (sin x) x)

series183.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
91.0ms	(* (/ (sin x) x) (sinh y))
31.0ms	(/ (sin x) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	323	445
1	1263	397
2	5001	374

prune190.0ms

Filtered

84 candidates to 65 candidates (77.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ 1 (sinh y))
0.1b	(/ (sin x) x)
0.2b	(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

461×	`times-frac`
223×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log` `div-inv`
20×	`associate-/r*` `add-cbrt-cube`
19×	`div-exp` `associate-/l*`
16×	`sinh-def` `associate-/r/`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 308

Calls

4 calls:

1.0ms	(sinh y)
4.0ms	(/ 1 (sinh y))
4.0ms	(/ (sin x) x)
15.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sinh y)
71.0ms	(/ 1 (sinh y))
27.0ms	(/ (sin x) x)
93.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1420	3483
1	5001	3148

prune619.0ms

Filtered

320 candidates to 206 candidates (64.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	320	0	320
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	320	5	325

Merged error: 0b

Counts

325 → 5

regimes90.0ms

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	5
1	10	5

end0.0ms

sample1.9s

Algorithm

intervals

Results

523.0ms	1819×	body	1280	valid
443.0ms	10338×	body	80	valid
373.0ms	2029×	body	640	valid
144.0ms	1086×	body	320	valid
56.0ms	567×	body	160	valid