Details

sample78.0ms

Algorithm

intervals

Results

27.0ms	93×	body	1280	valid
16.0ms	88×	body	640	valid
15.0ms	285×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid

simplify59.0ms

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

localize7.0ms

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)

series98.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (cosh x) (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (36.0ms)

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

prune138.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

8.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
10.0ms	(* (sin y) (/ 1 y))

series96.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
24.0ms	(* (sin y) (/ 1 y))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	341	428
1	1459	344
2	5001	315

prune119.0ms

Filtered

73 candidates to 47 candidates (64.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	73	8	81

Merged error: 0b

Counts

81 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.3b	(/ 1 (/ y (sin y)))

rewrite32.0ms

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:

14.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
21.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (66.0ms)

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

prune298.0ms

Filtered

193 candidates to 121 candidates (62.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	193	8	201

Merged error: 0b

Counts

201 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `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/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 485

Calls

3 calls:

41.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
25.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

494 → 494

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	1851	4747
1	5001	4109

prune711.0ms

Filtered

494 candidates to 265 candidates (53.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	494	0	494
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	494	8	502

Merged error: 0b

Counts

502 → 8

regimes136.0ms

Accuracy

0% (0.1b 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	7	4
1	7	4

end0.0ms

sample2.2s

Algorithm

intervals

Results

858.0ms	2846×	body	1280	valid
469.0ms	2560×	body	640	valid
358.0ms	8436×	body	80	valid
160.0ms	1215×	body	320	valid
60.0ms	645×	body	160	valid