Details

sample84.0ms

Algorithm

intervals

Results

35.0ms	114×	body	1280	valid
15.0ms	81×	body	640	valid
13.0ms	280×	body	80	valid
4.0ms	30×	body	320	valid
2.0ms	22×	body	160	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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

series252.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(sinh y)
86.0ms	(/ (sinh y) y)
106.0ms	(* (sin x) (/ (sinh y) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5001	382

prune153.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

90×	`cbrt-prod`
76×	`add-sqr-sqrt`
60×	`times-frac`
51×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-l`
17×	`associate-r`
16×	`pow1` `swap-sqr`
11×	`add-exp-log`
10×	`cbrt-div` `unswap-sqr`
8×	`pow1/3`
7×	`add-cbrt-cube`
6×	`div-inv`
5×	`associate-*r/` `pow-prod-down`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-times` `associate-l/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 144

Calls

4 calls:

2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
13.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
12.0ms	(* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))

series876.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (/ (sinh y) y))
209.0ms	(cbrt (/ (sinh y) y))
238.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
217.0ms	(* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	443	1542
1	1503	1457
2	5001	1366

prune420.0ms

Filtered

156 candidates to 123 candidates (78.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	156	3	159

Merged error: 0b

Counts

159 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-r/` `associate-l*`
5×	`sinh-def`
4×	`div-exp` `pow-prod-down`
3×	`add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 72

Calls

3 calls:

1.0ms	(sinh y)
8.0ms	(* (sin x) (* (sinh y) (/ 1 y)))
8.0ms	(* (sinh y) (/ 1 y))

series252.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
105.0ms	(* (sin x) (* (sinh y) (/ 1 y)))
88.0ms	(* (sinh y) (/ 1 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	413	459
1	1619	376
2	5002	335

prune125.0ms

Filtered

81 candidates to 56 candidates (69.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	81	3	84

Merged error: 0b

Counts

84 → 3

regimes85.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms

sample2.3s

Algorithm

intervals

Results

919.0ms	3032×	body	1280	valid
474.0ms	2427×	body	640	valid
374.0ms	8643×	body	80	valid
173.0ms	1268×	body	320	valid
60.0ms	599×	body	160	valid