Details

sample76.0ms

Algorithm

intervals

Results

28.0ms	91×	body	1280	valid
16.0ms	91×	body	640	valid
12.0ms	280×	body	80	valid
4.0ms	32×	body	320	valid
1.0ms	17×	body	160	valid

simplify83.0ms

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

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:

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

series264.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(/ (sinh y) y)
99.0ms	(* (cos x) (/ (sinh y) y))
70.0ms	(sinh y)

simplify46.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	324	427
1	1285	383
2	5001	381

prune182.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 0b

Counts

78 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sinh y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`sinh-def` `cbrt-div`

Counts

4 → 45

Calls

4 calls:

2.0ms	(cbrt (sinh y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series768.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (sinh y))
197.0ms	(cbrt y)
195.0ms	(cbrt y)
192.0ms	(cbrt y)

simplify84.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	112	192
1	214	178
2	461	170
3	1394	170
4	5001	170

prune195.0ms

Filtered

57 candidates to 49 candidates (86.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Merged error: 0b

Counts

61 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (cos x) (sinh y))
0.5b	(* (* (cos x) (sinh y)) (/ 1 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

5.0ms	(sinh y)
4.0ms	(* (cos x) (sinh y))
9.0ms	(* (* (cos x) (sinh y)) (/ 1 y))

series249.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(sinh y)
79.0ms	(* (cos x) (sinh y))
98.0ms	(* (* (cos x) (sinh y)) (/ 1 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	406	468
1	1998	386
2	5002	345

prune138.0ms

Filtered

76 candidates to 48 candidates (63.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0b

Counts

80 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sinh y)) (cbrt (sinh y)))
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
7×	`sinh-def` `cbrt-div`
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` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 79

Calls

4 calls:

7.0ms	(* (cbrt (sinh y)) (cbrt (sinh y)))
2.0ms	(cbrt (sinh y))
2.0ms	(cbrt (sinh y))
2.0ms	(cbrt (sinh y))

series762.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (sinh y)) (cbrt (sinh y)))
186.0ms	(cbrt (sinh y))
183.0ms	(cbrt (sinh y))
185.0ms	(cbrt (sinh y))

simplify84.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	200	535
1	590	498
2	2394	442
3	5001	438

prune411.0ms

Filtered

91 candidates to 62 candidates (68.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	91	4	95

Merged error: 0b

Counts

95 → 4

regimes108.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.2s

Algorithm

intervals

Results

867.0ms	2987×	body	1280	valid
437.0ms	2430×	body	640	valid
354.0ms	8487×	body	80	valid
146.0ms	1208×	body	320	valid
53.0ms	623×	body	160	valid