Details

sample79.0ms

Algorithm

intervals

Results

32.0ms	103×	body	1280	valid
16.0ms	99×	body	640	valid
10.0ms	265×	body	80	valid
5.0ms	47×	body	320	valid
1.0ms	18×	body	160	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(sinh y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 44

Calls

2 calls:

7.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)

series151.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* (cos x) (/ (sinh y) y))
62.0ms	(sinh y)

simplify35.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	281	286
1	1153	252
2	5001	234

prune259.0ms

Filtered

50 candidates to 38 candidates (76.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (cos x) (sinh y))
0.2b	(/ (* (cos x) (sinh y)) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (cos x) (sinh y))
5.0ms	(/ (* (cos x) (sinh y)) y)

series249.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(sinh y)
75.0ms	(* (cos x) (sinh y))
88.0ms	(/ (* (cos x) (sinh y)) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	279	337
1	1212	289
2	5001	271

prune100.0ms

Filtered

64 candidates to 48 candidates (75.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(sinh y)
0.3b	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
0.3b	(pow (* (cos x) (/ (sinh y) y)) 3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`times-frac`
9×	`pow1`
8×	`cbrt-prod`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r/` `associate-l*` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sinh-def` `cbrt-div` `pow1/3` `*-commutative` `rem-cbrt-cube` `div-inv`

Counts

4 → 91

Calls

4 calls:

7.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)
2.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
6.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

series424.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (cos x) (/ (sinh y) y))
60.0ms	(sinh y)
97.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
180.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

simplify58.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	430	606
1	1989	569
2	5001	554

prune198.0ms

Filtered

103 candidates to 76 candidates (73.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

820.0ms	2972×	body	1280	valid
417.0ms	2451×	body	640	valid
309.0ms	8437×	body	80	valid
150.0ms	1290×	body	320	valid
54.0ms	642×	body	160	valid