Details

sample80.0ms

Algorithm

intervals

Results

31.0ms	99×	body	1280	valid
16.0ms	83×	body	640	valid
12.0ms	267×	body	80	valid
4.0ms	33×	body	320	valid
1.0ms	14×	body	160	valid

simplify65.0ms

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

localize7.0ms

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:

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

series129.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* (cosh x) (/ (sin y) y))
37.0ms	(/ (sin y) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (43.0ms)

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

prune162.0ms

Filtered

67 candidates to 50 candidates (74.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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:

17.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
4.0ms	(/ y (sin y))
7.0ms	(/ 1 (/ y (sin y)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
33.0ms	(/ y (sin y))
31.0ms	(/ 1 (/ y (sin y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (76.0ms)

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

prune355.0ms

Filtered

187 candidates to 114 candidates (61.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	183	4	187
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	185	8	193

Merged error: 0.0b

Counts

193 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (cosh x) y)
0.5b	(* (/ (cosh x) y) (sin y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

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

series160.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (cosh x) y)
85.0ms	(* (/ (cosh x) y) (sin y))

simplify44.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	282	386
1	974	341
2	5001	324

prune155.0ms

Filtered

66 candidates to 49 candidates (74.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	66	8	74

Merged error: 0.0b

Counts

74 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
0.1b	(/ 1 (sin y))
0.2b	(/ 1 (* y (/ 1 (sin y))))
0.5b	(* y (/ 1 (sin y)))

rewrite41.0ms

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))
9.0ms	(/ 1 (* y (/ 1 (sin y))))
9.0ms	(* y (/ 1 (sin y)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
15.0ms	(/ 1 (sin y))
36.0ms	(/ 1 (* y (/ 1 (sin y))))
29.0ms	(* y (/ 1 (sin y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	531	905
1	2400	711
2	5001	655

prune232.0ms

Filtered

165 candidates to 80 candidates (48.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	165	8	173

Merged error: 0.0b

Counts

173 → 8

regimes166.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.4s

Algorithm

intervals

Results

949.0ms	2955×	body	1280	valid
502.0ms	2438×	body	640	valid
389.0ms	8580×	body	80	valid
178.0ms	1255×	body	320	valid
58.0ms	618×	body	160	valid