Details

sample79.0ms

Algorithm

intervals

Results

28.0ms	92×	body	1280	valid
15.0ms	81×	body	640	valid
14.0ms	267×	body	80	valid
6.0ms	44×	body	320	valid
2.0ms	19×	body	160	valid

simplify50.0ms

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 (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 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`cosh-def` `associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

1.0ms	(cosh x)
7.0ms	(* (cosh x) (/ (sin y) y))
4.0ms	(/ (sin y) y)

series149.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(cosh x)
76.0ms	(* (cosh x) (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	291	432
1	1116	386
2	5002	364

prune155.0ms

Filtered

78 candidates to 59 candidates (75.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (cosh x) 3))
0.0b	(* (cbrt (pow (cosh x) 3)) (/ (sin y) y))
0.0b	(pow (cosh x) 3)
0.1b	(/ (sin y) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
32×	`cbrt-prod`
29×	`add-cube-cbrt` `*-un-lft-identity`
23×	`times-frac`
15×	`associate-l`
13×	`associate-r`
12×	`add-exp-log`
11×	`unpow-prod-down` `cube-prod`
10×	`add-cbrt-cube` `unswap-sqr`
7×	`pow1`
5×	`sqr-pow`
4×	`cube-div` `cosh-def` `add-log-exp`
3×	`cube-mult` `pow-unpow` `cbrt-div` `unpow3` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`frac-times` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 127

Calls

4 calls:

2.0ms	(cbrt (pow (cosh x) 3))
11.0ms	(* (cbrt (pow (cosh x) 3)) (/ (sin y) y))
2.0ms	(pow (cosh x) 3)
4.0ms	(/ (sin y) y)

series396.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt (pow (cosh x) 3))
76.0ms	(* (cbrt (pow (cosh x) 3)) (/ (sin y) y))
250.0ms	(pow (cosh x) 3)
25.0ms	(/ (sin y) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	444	770
1	2175	709
2	5002	688

prune248.0ms

Filtered

139 candidates to 91 candidates (65.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	139	6	145

Merged error: 0.0b

Counts

145 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`cosh-def` `associate-l` `cbrt-unprod`
2×	`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

4 → 186

Calls

4 calls:

1.0ms	(cosh x)
20.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
7.0ms	(/ y (sin y))
12.0ms	(/ 1 (/ y (sin y)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cosh x)
75.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
22.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	644	1361
1	3041	1186
2	5001	1053

prune309.0ms

Filtered

198 candidates to 125 candidates (63.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	196	8	204

Merged error: 0.0b

Counts

204 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
427×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
392×	`add-cube-cbrt`
174×	`associate-r`
106×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
36×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
7×	`pow1`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`cosh-def` `associate-l`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 487

Calls

4 calls:

1.0ms	(cosh x)
48.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms	(/ 1 (sin y))
12.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cosh x)
77.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
33.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	1854	4758
1	5001	4122

prune784.0ms

Filtered

499 candidates to 270 candidates (54.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	498	1	499
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	499	8	507

Merged error: 0b

Counts

507 → 8

regimes116.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample2.4s

Algorithm

intervals

Results

943.0ms	2930×	body	1280	valid
516.0ms	2490×	body	640	valid
395.0ms	8399×	body	80	valid
178.0ms	1249×	body	320	valid
65.0ms	668×	body	160	valid