Details

sample68.0ms

Algorithm

intervals

Results

25.0ms	93×	body	1280	valid
11.0ms	66×	body	640	valid
10.0ms	289×	body	80	valid
6.0ms	51×	body	320	valid
2.0ms	31×	body	160	valid

simplify72.0ms

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	137	4
4	262	4
5	492	4
6	1390	4
7	4856	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

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

series226.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* (cos x) (/ (sinh y) y))
84.0ms	(/ (sinh y) y)
57.0ms	(sinh y)

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	324	427
1	1285	383
2	5001	381

prune156.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
0.0b	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
0.1b	(* 1/120 (pow y 4))
0.2b	(* 1/6 (pow y 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`associate-l` `add-log-exp`
8×	`unpow-prod-down` `unswap-sqr`
7×	`prod-exp`
6×	`pow1`
4×	`sqr-pow`
3×	`sum-log` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `unpow2`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
8.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
5.0ms	(* 1/120 (pow y 4))
5.0ms	(* 1/6 (pow y 2))

series211.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
39.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
34.0ms	(* 1/120 (pow y 4))
29.0ms	(* 1/6 (pow y 2))

simplify63.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	396	612
1	1842	547
2	5001	547

prune303.0ms

Filtered

99 candidates to 63 candidates (63.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

regimes72.0ms

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

815.0ms	3018×	body	1280	valid
402.0ms	2423×	body	640	valid
313.0ms	8452×	body	80	valid
150.0ms	1336×	body	320	valid
48.0ms	607×	body	160	valid