Details

sample42.0ms

Algorithm

intervals

Results

11.0ms	179×	body	80	valid
10.0ms	26×	body	1280	valid
6.0ms	25×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(* z (cos y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

4.0ms

(* z (cos y))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* z (cos y))

simplify56.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	62	78
1	221	68
2	518	68
3	798	68
4	1903	68
5	5002	68

prune50.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	19	4	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	5	24

Merged error: 0.0b

Counts

24 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series426.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
88.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))

simplify102.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381

prune223.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	91	7	98

Merged error: 0b

Counts

98 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.4b	(log1p (cbrt (cos y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`expm1-log1p-u`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log1p-udef` `log1p-expm1`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(log1p (cbrt (cos y)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
90.0ms	(cbrt (cos y))
146.0ms	(log1p (cbrt (cos y)))

simplify138.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (134.0ms)

Iter	Nodes	Cost
0	80	256
1	209	232
2	628	225
3	3119	225
4	5002	221

prune178.0ms

Filtered

62 candidates to 48 candidates (77.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	62	7	69

Merged error: 0b

Counts

69 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(sqrt (cos y))
0.1b	(* z (sqrt (cos y)))
0.1b	(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

2.0ms	(sqrt (cos y))
2.0ms	(sqrt (cos y))
5.0ms	(* z (sqrt (cos y)))
7.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (cos y))
14.0ms	(sqrt (cos y))
50.0ms	(* z (sqrt (cos y)))
34.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	164	390
1	721	346
2	2852	340
3	5002	340

prune167.0ms

Filtered

89 candidates to 58 candidates (65.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	89	7	96

Merged error: 0b

Counts

96 → 7

regimes149.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

390.0ms	971×	body	1280	valid
290.0ms	5625×	body	80	valid
194.0ms	794×	body	640	valid
72.0ms	418×	body	320	valid
22.0ms	192×	body	160	valid