Details

sample59.0ms

Algorithm

intervals

Results

17.0ms	60×	body	1280	valid
12.0ms	324×	body	80	valid
11.0ms	61×	body	640	valid
5.0ms	38×	body	320	valid
2.0ms	26×	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	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: 12.3b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
12.3b	(/ (* (sin x) (sinh y)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

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

series182.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (sin x) (sinh y))
98.0ms	(/ (* (sin x) (sinh y)) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	271	298
1	1234	252
2	5001	234

prune108.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 0b

Counts

52 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

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×	`sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

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

series162.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (sinh y) x)
91.0ms	(* (sin x) (/ (sinh y) x))

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	322	408
1	1272	363
2	5001	361

prune151.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	3	2	5
Picked	0	1	1
Done	1	0	1
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series942.0ms

Counts

4 → 12

Calls

4 calls:

410.0ms	(* (cbrt x) (cbrt x))
172.0ms	(cbrt x)
175.0ms	(cbrt x)
184.0ms	(cbrt x)

simplify85.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune222.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	93	6	99

Merged error: 0b

Counts

99 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (sinh y))
1.1b	(/ (sin x) (/ x (sinh y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 106

Calls

2 calls:

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

series191.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(/ x (sinh y))
88.0ms	(/ (sin x) (/ x (sinh y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	465	914
1	1976	864
2	5001	843

prune249.0ms

Filtered

112 candidates to 93 candidates (83.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	3	0	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0b

Counts

118 → 6

regimes65.0ms

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

sample1.7s

Algorithm

intervals

Results

480.0ms	1729×	body	1280	valid
393.0ms	10248×	body	80	valid
331.0ms	1885×	body	640	valid
131.0ms	1058×	body	320	valid
52.0ms	574×	body	160	valid