Details

sample74.0ms

Algorithm

intervals

Results

25.0ms	86×	body	1280	valid
16.0ms	86×	body	640	valid
12.0ms	290×	body	80	valid
5.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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 (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

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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×	`frac-2neg` `associate-l` `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 → 87

Calls

3 calls:

1.0ms	(cosh x)
9.0ms	(* (cosh x) (/ (sin y) y))
4.0ms	(/ (sin y) y)

series164.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(cosh x)
83.0ms	(* (cosh x) (/ (sin y) y))
32.0ms	(/ (sin y) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	343	541
1	1433	495
2	5001	457

prune170.0ms

Filtered

96 candidates to 71 candidates (26.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (/ (sin y) 1/2) (cosh x))
0.1b	(/ (* (/ (sin y) 1/2) (cosh x)) (* 2 y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

416×	`times-frac`
326×	`add-sqr-sqrt`
254×	`associate-l`
208×	`add-cube-cbrt` `*-un-lft-identity`
114×	`associate-r`
52×	`unswap-sqr`
38×	`*-commutative`
35×	`associate-/l*`
29×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
21×	`cosh-def`
19×	`associate-/l/`
18×	`frac-times` `associate-*l/`
15×	`div-inv`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`pow1` `frac-2neg` `clear-num`
3×	`add-log-exp`
2×	`associate-*r/`
1×	`pow-prod-down`

Counts

3 → 410

Calls

3 calls:

1.0ms	(cosh x)
8.0ms	(* (/ (sin y) 1/2) (cosh x))
21.0ms	(/ (* (/ (sin y) 1/2) (cosh x)) (* 2 y))

series219.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(cosh x)
80.0ms	(* (/ (sin y) 1/2) (cosh x))
92.0ms	(/ (* (/ (sin y) 1/2) (cosh x)) (* 2 y))

simplify105.0ms

Algorithm

egg-herbie

Counts

419 → 419

Iterations

Useful iterations: 1 (55.0ms)

Iter	Nodes	Cost
0	2013	4557
1	5002	4393

prune991.0ms

Filtered

419 candidates to 311 candidates (25.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	413	6	419
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	419	8	427

Merged error: 0b

Counts

427 → 8

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)))

rewrite16.0ms

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

Counts

3 → 114

Calls

3 calls:

1.0ms	(cosh x)
4.0ms	(/ 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)))

simplify66.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	446	915
1	1791	864
2	5002	859

prune232.0ms

Filtered

123 candidates to 100 candidates (18.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	123	8	131

Merged error: 0b

Counts

131 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
46×	`add-cube-cbrt` `*-un-lft-identity`
44×	`sqrt-prod`
42×	`times-frac`
34×	`associate-l`
28×	`associate-*l/`
22×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
19×	`cosh-def` `sqrt-div` `unswap-sqr`
18×	`associate-/l*`
13×	`frac-times`
12×	`pow1`
9×	`associate-/r*`
7×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `*-commutative` `associate-/l/`
2×	`div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`

Counts

4 → 169

Calls

4 calls:

1.0ms	(sqrt (cosh x))
5.0ms	(* (sqrt (cosh x)) (sin y))
5.0ms	(/ (sqrt (cosh x)) y)
19.0ms	(* (/ (sqrt (cosh x)) y) (* (sqrt (cosh x)) (sin y)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (cosh x))
104.0ms	(* (sqrt (cosh x)) (sin y))
102.0ms	(/ (sqrt (cosh x)) y)
81.0ms	(* (/ (sqrt (cosh x)) y) (* (sqrt (cosh x)) (sin y)))

simplify100.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	620	1544
1	2949	1396
2	5003	1345

prune317.0ms

Filtered

181 candidates to 123 candidates (32.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	182	7	189

Merged error: 0b

Counts

189 → 7

regimes82.0ms

Accuracy

0% (0.2b 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	12	6
1	12	6

end0.0ms

sample2.3s

Algorithm

intervals

Results

917.0ms	3007×	body	1280	valid
493.0ms	2595×	body	640	valid
368.0ms	8503×	body	80	valid
163.0ms	1224×	body	320	valid
61.0ms	604×	body	160	valid