Details

sample79.0ms

Algorithm

intervals

Results

29.0ms	99×	body	1280	valid
17.0ms	78×	body	640	valid
11.0ms	273×	body	80	valid
7.0ms	53×	body	320	valid
2.0ms	19×	body	160	valid

simplify54.0ms

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	102	4
4	153	4
5	334	4
6	924	4
7	1912	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)
0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) 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×	`expm1-log1p-u` `cosh-def` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 75

Calls

3 calls:

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

series146.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(cosh x)
74.0ms	(* (cosh x) (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	303	450
1	1150	402
2	5002	380

prune187.0ms

Filtered

84 candidates to 65 candidates (77.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	77	7	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	8	85

Merged error: 0.0b

Counts

85 → 8

localize11.0ms

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))
0.2b	(/ 1 (/ y (sin y)))

rewrite36.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `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 → 194

Calls

4 calls:

1.0ms	(cosh x)
16.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
4.0ms	(/ y (sin y))
7.0ms	(/ 1 (/ y (sin y)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(cosh x)
73.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
27.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	660	1387
1	3088	1210
2	5001	1077

prune400.0ms

Filtered

206 candidates to 132 candidates (64.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	202	4	206
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	206	8	214

Merged error: 0b

Counts

214 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (* (/ 1 y) (sin y)))
0.3b	(* (/ 1 y) (sin y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
16×	`associate-l`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
4×	`div-exp` `associate-r` `pow-prod-down` `associate-*l/`
3×	`expm1-log1p-u` `cosh-def` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*r/` `div-inv`

Counts

3 → 74

Calls

3 calls:

1.0ms	(cosh x)
8.0ms	(* (cosh x) (* (/ 1 y) (sin y)))
7.0ms	(* (/ 1 y) (sin y))

series143.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(cosh x)
72.0ms	(* (cosh x) (* (/ 1 y) (sin y)))
25.0ms	(* (/ 1 y) (sin y))

simplify39.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	357	450
1	1376	364
2	5001	329

prune168.0ms

Filtered

83 candidates to 59 candidates (71.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Merged error: 0b

Counts

91 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
44×	`prod-exp`
36×	`div-exp`
34×	`add-sqr-sqrt` `add-cbrt-cube`
26×	`*-un-lft-identity` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
18×	`rec-exp` `1-exp`
12×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-l` `associate-/l*`
4×	`expm1-log1p-u` `associate-r/` `associate-/r` `associate-/r/` `un-div-inv` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-flip` `pow-prod-down`
2×	`cosh-def` `frac-2neg` `clear-num` `*-commutative` `inv-pow`
1×	`frac-times` `associate-*l/`

Counts

4 → 161

Calls

4 calls:

12.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
4.0ms	(/ 1 (sin y))
7.0ms	(* y (/ 1 (sin y)))
7.0ms	(/ 1 (* y (/ 1 (sin y))))

series133.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
16.0ms	(/ 1 (sin y))
22.0ms	(* y (/ 1 (sin y)))
25.0ms	(/ 1 (* y (/ 1 (sin y))))

simplify64.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	546	940
1	2426	743
2	5002	687

prune243.0ms

Filtered

173 candidates to 89 candidates (51.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	173	8	181

Merged error: 0b

Counts

181 → 8

regimes144.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b 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

sample2.3s

Algorithm

intervals

Results

921.0ms	2986×	body	1280	valid
469.0ms	2527×	body	640	valid
373.0ms	8710×	body	80	valid
162.0ms	1248×	body	320	valid
53.0ms	605×	body	160	valid