Details

sample75.0ms

Algorithm

intervals

Results

28.0ms	99×	body	1280	valid
14.0ms	78×	body	640	valid
11.0ms	273×	body	80	valid
6.0ms	53×	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

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)

rewrite13.0ms

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

series142.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(cosh x)
72.0ms	(* (cosh x) (/ (sin y) y))
28.0ms	(/ (sin y) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (31.0ms)

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

prune172.0ms

Filtered

78 candidates to 59 candidates (75.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	7	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	8	79

Merged error: 0.0b

Counts

79 → 8

localize8.0ms

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))
0.2b	(/ 1 (/ y (sin y)))

rewrite31.0ms

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

series165.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cosh x)
74.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
25.0ms	(/ y (sin y))
24.0ms	(/ 1 (/ y (sin y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (65.0ms)

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

prune370.0ms

Filtered

198 candidates to 123 candidates (62.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	198	8	206

Merged error: 0b

Counts

206 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

1.0ms	(cosh x)
7.0ms	(* (cosh x) (* (/ 1 y) (sin y)))
10.0ms	(* (/ 1 y) (sin y))

series153.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(cosh x)
81.0ms	(* (cosh x) (* (/ 1 y) (sin y)))
24.0ms	(* (/ 1 y) (sin y))

simplify37.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	345	428
1	1263	344
2	5001	315

prune158.0ms

Filtered

77 candidates to 53 candidates (68.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	77	8	85

Merged error: 0b

Counts

85 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

10.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
4.0ms	(/ 1 (sin y))
7.0ms	(* y (/ 1 (sin y)))
7.0ms	(/ 1 (* y (/ 1 (sin y))))

series136.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
12.0ms	(/ 1 (sin y))
25.0ms	(* y (/ 1 (sin y)))
24.0ms	(/ 1 (* y (/ 1 (sin y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (52.0ms)

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

prune267.0ms

Filtered

165 candidates to 81 candidates (49.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	165	8	173

Merged error: 0b

Counts

173 → 8

regimes148.0ms

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	11	5
1	11	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

888.0ms	2986×	body	1280	valid
465.0ms	2527×	body	640	valid
368.0ms	8710×	body	80	valid
159.0ms	1248×	body	320	valid
56.0ms	605×	body	160	valid