Details

sample90.0ms

Algorithm

intervals

Results

33.0ms	107×	body	1280	valid
17.0ms	88×	body	640	valid
15.0ms	271×	body	80	valid
7.0ms	48×	body	320	valid
2.0ms	23×	body	160	valid

simplify58.0ms

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

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 2 expressions with local error:

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

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` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

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

series102.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (cosh x) (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	271	408
1	1085	363
2	5001	351

prune152.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt (cosh x))
1.0ms	(cbrt (cosh x))
1.0ms	(cbrt (cosh x))
4.0ms	(/ (sin y) y)

series494.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (cosh x))
157.0ms	(cbrt (cosh x))
152.0ms	(cbrt (cosh x))
27.0ms	(/ (sin y) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	187	383
1	526	354
2	1991	324
3	5001	321

prune191.0ms

Filtered

83 candidates to 64 candidates (77.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `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

3 → 184

Calls

3 calls:

15.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms	(/ 1 (/ y (sin y)))
4.0ms	(/ y (sin y))

series126.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
31.0ms	(/ 1 (/ y (sin y)))
23.0ms	(/ y (sin y))

simplify89.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	628	1345
1	3020	1171
2	5002	1048

prune304.0ms

Filtered

193 candidates to 122 candidates (63.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	192	8	200

Merged error: 0.0b

Counts

200 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.2b	(/ (cosh x) (/ y (sin y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

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

series98.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ y (sin y))
71.0ms	(/ (cosh x) (/ y (sin y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	420	861
1	1734	812
2	5001	811

prune212.0ms

Filtered

108 candidates to 89 candidates (82.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	108	8	116

Merged error: 0.0b

Counts

116 → 8

regimes109.0ms

Accuracy

0% (0.1b 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	11
1	11	11

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	3109×	body	1280	valid
505.0ms	2482×	body	640	valid
406.0ms	8531×	body	80	valid
179.0ms	1257×	body	320	valid
61.0ms	620×	body	160	valid