Details

sample270.0ms

Algorithm

intervals

Results

199.0ms	136×	body	80	valid
31.0ms	71×	body	1280	valid
14.0ms	50×	body	640	valid
5.0ms	23×	body	320	valid
4.0ms	11×	body	160	valid

simplify420.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	49	11
1	49	11

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize22.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (tan B))
0.2b	(* x (/ 1.0 (tan B)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
5×	`pow1`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv` `add-log-exp`
2×	`tan-quot` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 88

Calls

3 calls:

3.0ms	(/ 1.0 (sin B))
3.0ms	(/ 1.0 (tan B))
10.0ms	(* x (/ 1.0 (tan B)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ 1.0 (sin B))
11.0ms	(/ 1.0 (tan B))
37.0ms	(* x (/ 1.0 (tan B)))

simplify91.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4861	738
1	4861	738

prune160.0ms

Filtered

75 candidates to 97 candidates (-29.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	84	13	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	13	98

Merged error: 0.0b

Counts

98 → 13

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1.0 (sin B))
0.2b	(/ (* x 1.0) (tan B))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `div-inv` `add-log-exp`
1×	`tan-quot` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

3.0ms	(/ 1.0 (sin B))
7.0ms	(/ (* x 1.0) (tan B))

series28.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 1.0 (sin B))
23.0ms	(/ (* x 1.0) (tan B))

simplify69.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4872	416
1	4872	416

prune86.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	55	13	68

Merged error: 0.0b

Counts

68 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (sin B))
0.2b	(* (* x (/ 1.0 (sin B))) (cos B))
0.3b	(* x (/ 1.0 (sin B)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
22×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/r` `associate-/l`
4×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `associate-r/` `clear-num` `-commutative` `unswap-sqr`
1×	`associate-*l/`

Counts

4 → 107

Calls

4 calls:

3.0ms	(/ 1.0 (sin B))
3.0ms	(/ 1.0 (sin B))
7.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
6.0ms	(* x (/ 1.0 (sin B)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1.0 (sin B))
19.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
11.0ms	(* x (/ 1.0 (sin B)))

simplify62.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5200	949

prune156.0ms

Filtered

85 candidates to 119 candidates (-40.0%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	118	14	132

Merged error: 0.0b

Counts

132 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin B)) (cbrt (sin B)))
0.7b	(cbrt (sin B))
0.7b	(cbrt (sin B))
0.7b	(cbrt (sin B))

rewrite15.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

9.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
1.0ms	(cbrt (sin B))
1.0ms	(cbrt (sin B))
1.0ms	(cbrt (sin B))

series80.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
18.0ms	(cbrt (sin B))
18.0ms	(cbrt (sin B))
20.0ms	(cbrt (sin B))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5147	493

prune78.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	85	14	99

Merged error: 0.0b

Counts

99 → 14

regimes154.0ms

Accuracy

0% (0.1b 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	10	11
1	10	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

762.0ms	1755×	body	1280	valid
389.0ms	1424×	body	640	valid
338.0ms	4877×	body	80	valid
138.0ms	708×	body	320	valid
48.0ms	353×	body	160	valid

Details

sample270.0ms

simplify420.0ms

prune11.0ms

localize22.0ms

rewrite21.0ms

series52.0ms

simplify91.0ms

prune160.0ms

localize10.0ms

rewrite11.0ms

series28.0ms

simplify69.0ms

prune86.0ms

localize12.0ms

rewrite22.0ms

series40.0ms

simplify62.0ms

prune156.0ms

localize15.0ms

rewrite15.0ms

series80.0ms

simplify50.0ms

prune78.0ms

regimes154.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

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