Details

sample81.0ms

Algorithm

intervals

Results

27.0ms	86×	body	1280	valid
20.0ms	86×	body	640	valid
12.0ms	290×	body	80	valid
6.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
11×	`cosh-def`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`frac-times` `associate-r/` `associate-/r`
5×	`pow1`
4×	`clear-num`
3×	`expm1-log1p-u` `frac-2neg` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `un-div-inv` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 93

Calls

3 calls:

1.0ms	(cosh x)
10.0ms	(* (cosh x) (/ (sin y) y))
4.0ms	(/ (sin y) y)

series169.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(cosh x)
81.0ms	(* (cosh x) (/ (sin y) y))
34.0ms	(/ (sin y) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	355	559
1	1467	511
2	5001	473

prune194.0ms

Filtered

102 candidates to 77 candidates (24.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	94	8	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-r` `associate-l`
12×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `*-commutative` `unswap-sqr`
3×	`expm1-log1p-u` `cosh-def` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 99

Calls

3 calls:

1.0ms	(cosh x)
5.0ms	(* (sin y) (cosh x))
9.0ms	(/ (* (sin y) (cosh x)) y)

series226.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(cosh x)
79.0ms	(* (sin y) (cosh x))
96.0ms	(/ (* (sin y) (cosh x)) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	405	717
1	1679	665
2	5001	645

prune197.0ms

Filtered

108 candidates to 83 candidates (23.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	107	9	116

Merged error: 0.0b

Counts

116 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
72×	`times-frac`
63×	`associate-r`
58×	`*-un-lft-identity`
50×	`add-cube-cbrt`
29×	`unswap-sqr`
27×	`associate-l`
24×	`associate-/l*`
19×	`add-exp-log`
14×	`add-cbrt-cube`
9×	`*-commutative`
7×	`prod-exp`
5×	`pow1` `div-exp`
4×	`cbrt-unprod`
3×	`cbrt-undiv` `expm1-log1p-u` `cosh-def` `associate-r/` `associate-/r` `log1p-expm1-u` `add-log-exp`
2×	`1-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 151

Calls

3 calls:

1.0ms	(cosh x)
4.0ms	(* (sin y) (cosh x))
15.0ms	(/ (* 1 (* (sin y) (cosh x))) y)

series210.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(cosh x)
74.0ms	(* (sin y) (cosh x))
86.0ms	(/ (* 1 (* (sin y) (cosh x))) y)

simplify86.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	682	1237
1	3403	1125
2	5001	1099

prune238.0ms

Filtered

160 candidates to 98 candidates (38.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	160	9	169

Merged error: 0.0b

Counts

169 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r/` `associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def`
1×	`associate-/l/`

Counts

3 → 120

Calls

3 calls:

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

series155.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(cosh x)
23.0ms	(/ y (sin y))
81.0ms	(/ (cosh x) (/ y (sin y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	459	931
1	1831	879
2	5001	872

prune243.0ms

Filtered

129 candidates to 106 candidates (17.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	128	10	138

Merged error: 0.0b

Counts

138 → 10

regimes143.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	14	5
2	14	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

914.0ms	3007×	body	1280	valid
481.0ms	2595×	body	640	valid
369.0ms	8503×	body	80	valid
158.0ms	1224×	body	320	valid
56.0ms	604×	body	160	valid