Details

sample67.0ms

Algorithm

intervals

Results

20.0ms	70×	body	1280	valid
14.0ms	344×	body	80	valid
13.0ms	67×	body	640	valid
4.0ms	26×	body	320	valid
2.0ms	20×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	144	4
4	278	4
5	517	4
6	1455	4
7	5002	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: 16.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.0b	(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

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×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `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 → 49

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series242.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
85.0ms	(* (sin x) (sinh y))
95.0ms	(/ (* (sin x) (sinh y)) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	280	320
1	1233	272
2	5001	255

prune117.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	52	6	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	6	59

Merged error: 0b

Counts

59 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

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

series226.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(sinh y)
72.0ms	(/ (sinh y) x)
94.0ms	(* (sin x) (/ (sinh y) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	328	433
1	1261	387
2	5001	385

prune141.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	77	6	83

Merged error: 0b

Counts

83 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))

series751.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
188.0ms	(cbrt x)
182.0ms	(cbrt x)
203.0ms	(* (cbrt x) (cbrt x))

simplify92.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	115	288
1	479	261
2	2963	238
3	5002	235

prune194.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0b

Counts

91 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
1.3b	(/ (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` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(/ x (sinh y))
6.0ms	(/ (sin x) (/ x (sinh y)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
113.0ms	(/ x (sinh y))
94.0ms	(/ (sin x) (/ x (sinh y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	475	938
1	1984	886
2	5001	865

prune244.0ms

Filtered

119 candidates to 99 candidates (83.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	120	5	125

Merged error: 0b

Counts

125 → 5

regimes87.0ms

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	7	4
1	7	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

568.0ms	1886×	body	1280	valid
466.0ms	10467×	body	80	valid
381.0ms	1903×	body	640	valid
160.0ms	1144×	body	320	valid
60.0ms	574×	body	160	valid