Details

sample74.0ms

Algorithm

intervals

Results

32.0ms	98×	body	1280	valid
12.0ms	73×	body	640	valid
11.0ms	254×	body	80	valid
5.0ms	38×	body	320	valid
1.0ms	18×	body	160	valid

simplify76.0ms

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)

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:

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

series241.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (sinh y) y)
90.0ms	(* (cos x) (/ (sinh y) y))
64.0ms	(sinh y)

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (37.0ms)

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

prune155.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	5	78

Merged error: 0b

Counts

78 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

6.0ms	(/ 1 (/ y (sinh y)))
17.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
1.0ms	(sinh y)
4.0ms	(/ y (sinh y))

series330.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ 1 (/ y (sinh y)))
89.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
61.0ms	(sinh y)
91.0ms	(/ y (sinh y))

simplify81.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	699	1429
1	3416	1249
2	5001	1100

prune336.0ms

Filtered

204 candidates to 134 candidates (65.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	205	4	209

Merged error: 0b

Counts

209 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

898×	`times-frac`
441×	`add-sqr-sqrt`
412×	`*-un-lft-identity`
406×	`add-cube-cbrt`
187×	`associate-r`
106×	`add-exp-log`
66×	`div-exp`
59×	`div-inv`
36×	`add-cbrt-cube`
30×	`associate-/r/`
29×	`sinh-def`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp` `associate-/r*`
16×	`associate-/l*`
10×	`unswap-sqr`
7×	`pow1`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`associate-l`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 513

Calls

4 calls:

4.0ms	(/ 1 (sinh y))
12.0ms	(/ (/ 1 y) (/ 1 (sinh y)))
53.0ms	(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
1.0ms	(sinh y)

series330.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ 1 (sinh y))
94.0ms	(/ (/ 1 y) (/ 1 (sinh y)))
93.0ms	(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
67.0ms	(sinh y)

simplify93.0ms

Algorithm

egg-herbie

Counts

525 → 525

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1979	5033
1	5001	4386

prune804.0ms

Filtered

525 candidates to 293 candidates (55.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	525	0	525
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	525	4	529

Merged error: 0b

Counts

529 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (cos x) (sinh y))
0.2b	(/ (* (cos x) (sinh y)) y)

rewrite15.0ms

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	(* (cos x) (sinh y))
8.0ms	(/ (* (cos x) (sinh y)) y)

series226.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
74.0ms	(* (cos x) (sinh y))
90.0ms	(/ (* (cos x) (sinh y)) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	267	317
1	1179	271
2	5002	253

prune91.0ms

Filtered

58 candidates to 42 candidates (72.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	58	4	62

Merged error: 0b

Counts

62 → 4

regimes95.0ms

Accuracy

0% (0.0b 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	12	6
1	12	6

end0.0ms

sample2.1s

Algorithm

intervals

Results

829.0ms	2951×	body	1280	valid
446.0ms	2506×	body	640	valid
340.0ms	8751×	body	80	valid
153.0ms	1225×	body	320	valid
54.0ms	653×	body	160	valid