Details

sample85.0ms

Algorithm

intervals

Results

33.0ms	107×	body	1280	valid
17.0ms	88×	body	640	valid
12.0ms	271×	body	80	valid
6.0ms	48×	body	320	valid
2.0ms	23×	body	160	valid

simplify56.0ms

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	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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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

Counts

2 → 61

Calls

2 calls:

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

series105.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (cosh x) (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	263	392
1	1063	349
2	5001	337

prune143.0ms

Filtered

67 candidates to 50 candidates (74.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	7	68

Merged error: 0.0b

Counts

68 → 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)

rewrite10.0ms

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` `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 → 63

Calls

4 calls:

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

series492.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (cosh x))
150.0ms	(cbrt (cosh x))
156.0ms	(cbrt (cosh x))
29.0ms	(/ (sin y) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	181	359
1	508	334
2	1922	304
3	5002	301

prune167.0ms

Filtered

75 candidates to 56 candidates (74.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

localize8.0ms

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))

rewrite34.0ms

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×	`associate-l` `cbrt-unprod` `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 → 178

Calls

3 calls:

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

series131.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
26.0ms	(/ 1 (/ y (sin y)))
27.0ms	(/ y (sin y))

simplify81.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	616	1321
1	2986	1149
2	5001	1026

prune292.0ms

Filtered

187 candidates to 116 candidates (62.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	186	8	194

Merged error: 0.0b

Counts

194 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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` `frac-2neg` `clear-num` `add-log-exp`
1×	`cosh-def` `associate-/r/` `associate-/l/`

Counts

2 → 98

Calls

2 calls:

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

series100.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ y (sin y))
72.0ms	(/ (cosh x) (/ y (sin y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	411	847
1	1707	799
2	5001	798

prune202.0ms

Filtered

104 candidates to 85 candidates (81.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

regimes112.0ms

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

sample2.4s

Algorithm

intervals

Results

986.0ms	3109×	body	1280	valid
486.0ms	2482×	body	640	valid
413.0ms	8531×	body	80	valid
179.0ms	1257×	body	320	valid
59.0ms	620×	body	160	valid