Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.535645%

Guaranteed chance to sample good point: 41.50683%

Results

20.0ms	44×	body	1280	valid
15.0ms	54×	body	640	valid
9.0ms	115×	body	80	valid
6.0ms	31×	body	320	valid
2.0ms	12×	body	160	valid
0.0ms	3×	body	80	invalid

simplify359.0ms

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

prune12.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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))
19.0ms	(* x (/ 1.0 (tan B)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
5.0ms	(/ 1.0 (sin B))
10.0ms	(/ 1.0 (tan B))
33.0ms	(* 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

prune171.0ms

Filtered

88 candidates to 113 candidates (-28.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	105	8	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `div-inv` `difference-of-squares`
1×	`tan-quot` `sub-neg` `flip3--` `diff-log` `prod-exp` `associate-/r/` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 65

Calls

3 calls:

10.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
3.0ms	(/ 1.0 (sin B))
5.0ms	(/ (* x 1.0) (tan B))

series55.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
4.0ms	(/ 1.0 (sin B))
24.0ms	(/ (* x 1.0) (tan B))

simplify33.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	316	461
1	1175	428
2	5002	428

prune97.0ms

Filtered

54 candidates to 74 candidates (-37.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	74	8	82

Merged error: 0.0b

Counts

82 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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

series53.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
6.0ms	(/ 1.0 (sin B))
6.0ms	(* x (cos B))
17.0ms	(/ (* x (cos B)) (sin B))

simplify40.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (8.0ms)

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

prune108.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.2b	(* x (cos B))
0.2b	(/ (sin B) (* x (cos B)))
0.2b	(/ 1 (/ (sin B) (* x (cos B))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
34×	`add-exp-log` `add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-cbrt-cube`
15×	`div-exp`
11×	`associate-/r*`
9×	`associate-/l*`
8×	`cbrt-undiv`
7×	`pow1` `div-inv`
5×	`prod-exp`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `associate-l` `clear-num` `cbrt-unprod`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

3.0ms	(/ 1.0 (sin B))
4.0ms	(* x (cos B))
5.0ms	(/ (sin B) (* x (cos B)))
6.0ms	(/ 1 (/ (sin B) (* x (cos B))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1.0 (sin B))
6.0ms	(* x (cos B))
15.0ms	(/ (sin B) (* x (cos B)))
15.0ms	(/ 1 (/ (sin B) (* x (cos B))))

simplify47.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	419	844
1	1818	731
2	5001	688

prune100.0ms

Filtered

79 candidates to 134 candidates (-69.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	134	8	142

Merged error: 0.0b

Counts

142 → 8

regimes116.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.535645%

Guaranteed chance to sample good point: 41.50683%

Results

723.0ms	1624×	body	1280	valid
419.0ms	1470×	body	640	valid
281.0ms	3775×	body	80	valid
164.0ms	779×	body	320	valid
50.0ms	352×	body	160	valid
5.0ms	71×	body	80	invalid
1.0ms	2×	body	640	invalid
0.0ms	1×	body	1280	invalid

Details

sample2.8s

simplify359.0ms

prune12.0ms

localize12.0ms

rewrite36.0ms

series78.0ms

simplify43.0ms

prune171.0ms

localize10.0ms

rewrite19.0ms

series55.0ms

simplify33.0ms

prune97.0ms

localize11.0ms

rewrite20.0ms

series53.0ms

simplify40.0ms

prune108.0ms

localize12.0ms

rewrite22.0ms

series41.0ms

simplify47.0ms

prune100.0ms

regimes116.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.4s

Profiling