Details

sample2.4s

Algorithm

intervals

sampling

Space saved by range analysis: 11.622014%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

27.0ms	61×	body	1280	valid
14.0ms	51×	body	640	valid
9.0ms	113×	body	80	valid
5.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	5×	body	80	invalid

simplify371.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	31	6
2	39	6
3	50	6
4	53	6
5	53	6

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.2b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (tan B))
0.2b	(* x (/ 1.0 (tan B)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`tan-quot` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--`

Counts

4 → 101

Calls

4 calls:

6.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
3.0ms	(/ 1.0 (sin B))
4.0ms	(/ 1.0 (tan B))
9.0ms	(* x (/ 1.0 (tan B)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
5.0ms	(/ 1.0 (sin B))
11.0ms	(/ 1.0 (tan B))
34.0ms	(* x (/ 1.0 (tan B)))

simplify43.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	386	627
1	1479	584
2	5001	584

prune188.0ms

Filtered

88 candidates to 113 candidates (-28.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	102	11	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	11	114

Merged error: 0.0b

Counts

114 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
0.1b	(* x (cos B))
0.2b	(/ 1.0 (sin B))
0.2b	(/ (* x (cos B)) (sin B))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
12×	`times-frac`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `div-inv`
2×	`frac-2neg` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
4.0ms	(* x (cos B))
3.0ms	(/ 1.0 (sin B))
5.0ms	(/ (* x (cos B)) (sin B))

series55.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
7.0ms	(* x (cos B))
6.0ms	(/ 1.0 (sin B))
18.0ms	(/ (* x (cos B)) (sin B))

simplify41.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	333	572
1	1375	511
2	5001	511

prune126.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	93	11	104

Merged error: 0.0b

Counts

104 → 11

localize11.0ms

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

rewrite24.0ms

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

series43.0ms

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))
14.0ms	(* x (/ 1.0 (sin B)))

simplify47.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	315	645
1	1562	560
2	5001	560

prune151.0ms

Filtered

84 candidates to 119 candidates (-41.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	119	11	130

Merged error: 0.0b

Counts

130 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (tan B)) (cbrt (tan B)))
0.5b	(cbrt (tan B))
0.5b	(cbrt (tan B))
0.5b	(cbrt (tan B))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
7×	`tan-quot` `cbrt-div`
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` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 79

Calls

4 calls:

7.0ms	(* (cbrt (tan B)) (cbrt (tan B)))
2.0ms	(cbrt (tan B))
2.0ms	(cbrt (tan B))
2.0ms	(cbrt (tan B))

series116.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cbrt (tan B)) (cbrt (tan B)))
28.0ms	(cbrt (tan B))
26.0ms	(cbrt (tan B))
27.0ms	(cbrt (tan B))

simplify90.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	175	564
1	572	520
2	2659	452
3	5002	448

prune124.0ms

Filtered

65 candidates to 91 candidates (-40.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	91	11	102

Merged error: 0.0b

Counts

102 → 11

regimes146.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample4.0s

Algorithm

intervals

sampling

Space saved by range analysis: 11.622014%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

755.0ms	1688×	body	1280	valid
442.0ms	1521×	body	640	valid
272.0ms	3736×	body	80	valid
145.0ms	714×	body	320	valid
49.0ms	341×	body	160	valid
6.0ms	86×	body	80	invalid

Details

sample2.4s

simplify371.0ms

prune11.0ms

localize13.0ms

rewrite44.0ms

series77.0ms

simplify43.0ms

prune188.0ms

localize12.0ms

rewrite21.0ms

series55.0ms

simplify41.0ms

prune126.0ms

localize11.0ms

rewrite24.0ms

series43.0ms

simplify47.0ms

prune151.0ms

localize17.0ms

rewrite14.0ms

series116.0ms

simplify90.0ms

prune124.0ms

regimes146.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.0s

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