Details

sample80.0ms

Algorithm

intervals

Results

29.0ms	94×	body	1280	valid
18.0ms	76×	body	640	valid
13.0ms	289×	body	80	valid
4.0ms	32×	body	320	valid
3.0ms	27×	body	160	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	98	4
4	143	4
5	310	4
6	877	4
7	1824	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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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×	`cosh-def` `associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

7.0ms	(* (cosh x) (/ (sin y) y))
1.0ms	(cosh x)
4.0ms	(/ (sin y) y)

series147.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* (cosh x) (/ (sin y) y))
48.0ms	(cosh x)
25.0ms	(/ (sin y) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	291	432
1	1116	386
2	5002	364

prune153.0ms

Filtered

78 candidates to 59 candidates (75.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	69	9	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	10	79

Merged error: 0b

Counts

79 → 10

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`cosh-def` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 186

Calls

4 calls:

1.0ms	(cosh x)
15.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms	(/ y (sin y))
10.0ms	(/ 1 (/ y (sin y)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cosh x)
80.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
21.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	644	1361
1	3041	1186
2	5001	1053

prune313.0ms

Filtered

198 candidates to 124 candidates (62.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	2	6	8
Picked	0	1	1
Done	1	0	1
Total	199	9	208

Merged error: 0b

Counts

208 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
427×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
392×	`add-cube-cbrt`
174×	`associate-r`
106×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
36×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
7×	`pow1`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`cosh-def` `associate-l`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 487

Calls

4 calls:

1.0ms	(cosh x)
46.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cosh x)
75.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
32.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1854	4758
1	5001	4122

prune890.0ms

Filtered

499 candidates to 269 candidates (53.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	499	0	499
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	499	9	508

Merged error: 0b

Counts

508 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(/ (cosh x) y)
0.3b	(* (/ (cosh x) y) (sin y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

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

series176.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(cosh x)
59.0ms	(/ (cosh x) y)
70.0ms	(* (/ (cosh x) y) (sin y))

simplify33.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	296	426
1	990	378
2	5001	351

prune127.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	77	9	86

Merged error: 0b

Counts

86 → 9

regimes114.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample2.4s

Algorithm

intervals

Results

930.0ms	2975×	body	1280	valid
511.0ms	2578×	body	640	valid
388.0ms	8480×	body	80	valid
179.0ms	1264×	body	320	valid
63.0ms	629×	body	160	valid