Details

sample2.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 5.770874%

Guaranteed chance to sample good point: 45.694206%

Results

24.0ms	54×	body	1280	valid
9.0ms	128×	body	80	valid
9.0ms	34×	body	640	valid
5.0ms	26×	body	320	valid
2.0ms	14×	body	160	valid
1.0ms	15×	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

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

localize13.0ms

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))
0.3b	(* x (/ 1.0 (tan B)))

rewrite26.0ms

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)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
4.0ms	(/ 1.0 (sin B))
11.0ms	(/ 1.0 (tan B))
49.0ms	(* x (/ 1.0 (tan B)))

simplify44.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (9.0ms)

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

prune159.0ms

Filtered

88 candidates to 113 candidates (-28.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	6	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

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	(* x (cos B))
0.1b	(/ 1.0 (sin B))
0.1b	(/ (* 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))))
4.0ms	(* x (cos B))
3.0ms	(/ 1.0 (sin B))
5.0ms	(/ (* x (cos B)) (sin B))

series51.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
6.0ms	(* x (cos B))
4.0ms	(/ 1.0 (sin B))
17.0ms	(/ (* x (cos B)) (sin B))

simplify43.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (8.0ms)

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

prune106.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(/ 1.0 (sin B))
0.2b	(* (* x (/ 1.0 (sin B))) (cos B))
0.3b	(* x (/ 1.0 (sin B)))

rewrite23.0ms

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)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1.0 (sin B))
4.0ms	(/ 1.0 (sin B))
18.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
11.0ms	(* x (/ 1.0 (sin B)))

simplify48.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (9.0ms)

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

prune134.0ms

Filtered

84 candidates to 119 candidates (-41.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	118	8	126

Merged error: 0.0b

Counts

126 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))) (cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))))
0.5b	(cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B)))))
0.5b	(cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B)))))
0.5b	(cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-*r/`
11×	`pow1` `flip3--` `frac-sub` `flip--`
9×	`frac-times` `pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-*l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 97

Calls

4 calls:

15.0ms	(* (cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))) (cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))))
5.0ms	(cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B)))))
5.0ms	(cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B)))))
5.0ms	(cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B)))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))) (cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))))
38.0ms	(cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B)))))
36.0ms	(cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B)))))
38.0ms	(cbrt (- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	462	2301
1	1672	2177
2	5002	1972

prune280.0ms

Filtered

82 candidates to 109 candidates (-32.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	108	9	117

Merged error: 0.0b

Counts

117 → 9

regimes129.0ms

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

sample4.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 5.770874%

Guaranteed chance to sample good point: 45.694206%

Results

730.0ms	1621×	body	1280	valid
413.0ms	1474×	body	640	valid
284.0ms	3792×	body	80	valid
145.0ms	705×	body	320	valid
58.0ms	408×	body	160	valid
42.0ms	614×	body	80	invalid
0.0ms	1×	body	1280	invalid

Details

sample2.6s

simplify371.0ms

prune12.0ms

localize13.0ms

rewrite26.0ms

series90.0ms

simplify44.0ms

prune159.0ms

localize11.0ms

rewrite20.0ms

series51.0ms

simplify43.0ms

prune106.0ms

localize12.0ms

rewrite23.0ms

series38.0ms

simplify48.0ms

prune134.0ms

localize15.0ms

rewrite36.0ms

series161.0ms

simplify57.0ms

prune280.0ms

regimes129.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.3s

Profiling