Details

sample94.0ms

Algorithm

intervals

Results

36.0ms	111×	body	1280	valid
21.0ms	89×	body	640	valid
13.0ms	285×	body	80	valid
6.0ms	42×	body	320	valid
2.0ms	17×	body	160	valid

simplify70.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

8.0ms	(* (cosh x) (/ (sin y) y))
4.0ms	(/ (sin y) y)

series127.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* (cosh x) (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (44.0ms)

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

prune164.0ms

Filtered

67 candidates to 50 candidates (74.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	8	68

Merged error: 0.0b

Counts

68 → 8

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ 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))))
4.0ms	(/ y (sin y))
7.0ms	(/ 1 (/ y (sin y)))

series148.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
35.0ms	(/ y (sin y))
30.0ms	(/ 1 (/ y (sin y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (75.0ms)

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

prune341.0ms

Filtered

187 candidates to 115 candidates (61.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	186	9	195

Merged error: 0.0b

Counts

195 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

4.0ms	(* (cosh x) (sin y))
9.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series179.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(* (cosh x) (sin y))
91.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify62.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	372	428
1	1754	347
2	5001	314

prune121.0ms

Filtered

65 candidates to 37 candidates (56.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	65	9	74

Merged error: 0b

Counts

74 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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×	`associate-r/` `associate-/r` `associate-/r/` `un-div-inv` `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 → 153

Calls

4 calls:

12.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
4.0ms	(/ 1 (sin y))
8.0ms	(/ 1 (* y (/ 1 (sin y))))
8.0ms	(* y (/ 1 (sin y)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
16.0ms	(/ 1 (sin y))
37.0ms	(/ 1 (* y (/ 1 (sin y))))
28.0ms	(* y (/ 1 (sin y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	531	905
1	2384	711
2	5001	655

prune218.0ms

Filtered

165 candidates to 82 candidates (49.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	165	9	174

Merged error: 0b

Counts

174 → 9

regimes174.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.5s

Algorithm

intervals

Results

953.0ms	2978×	body	1280	valid
517.0ms	2536×	body	640	valid
408.0ms	8628×	body	80	valid
172.0ms	1209×	body	320	valid
58.0ms	618×	body	160	valid