Details

sample7.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.535645%

Guaranteed chance to sample good point: 41.50683%

Results

23.0ms	52×	body	1280	valid
11.0ms	38×	body	640	valid
10.0ms	137×	body	80	valid
4.0ms	20×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	2×	body	80	invalid

simplify368.0ms

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))
0.2b	(/ 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))
3.0ms	(/ 1.0 (tan B))
9.0ms	(* x (/ 1.0 (tan B)))

series91.0ms

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))
48.0ms	(* x (/ 1.0 (tan B)))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (10.0ms)

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

prune164.0ms

Filtered

88 candidates to 113 candidates (-28.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	106	7	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

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))
0.2b	(/ (* 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))

series57.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
5.0ms	(/ 1.0 (sin B))
23.0ms	(/ (* 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

prune96.0ms

Filtered

56 candidates to 74 candidates (-32.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
0.1b	(/ 1.0 (sin B))
0.1b	(/ (tan B) (* x 1.0))
0.3b	(/ 1 (/ (tan B) (* x 1.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
47×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`add-cube-cbrt`
20×	`add-cbrt-cube`
15×	`div-exp`
11×	`associate-/r*`
9×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
6×	`add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`prod-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
2×	`cbrt-unprod`
1×	`tan-quot` `sub-neg` `flip3--` `pow-flip` `diff-log` `associate-/r/` `frac-sub` `flip--` `associate-/l/` `inv-pow`

Counts

4 → 127

Calls

4 calls:

18.0ms	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
3.0ms	(/ 1.0 (sin B))
5.0ms	(/ (tan B) (* x 1.0))
8.0ms	(/ 1 (/ (tan B) (* x 1.0)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
4.0ms	(/ 1.0 (sin B))
13.0ms	(/ (tan B) (* x 1.0))
19.0ms	(/ 1 (/ (tan B) (* x 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	527	992
1	2281	863
2	5001	854

prune137.0ms

Filtered

87 candidates to 139 candidates (-59.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	138	8	146

Merged error: 0.0b

Counts

146 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

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

series112.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cbrt (tan B)) (cbrt (tan B)))
27.0ms	(cbrt (tan B))
25.0ms	(cbrt (tan B))
26.0ms	(cbrt (tan B))

simplify88.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (82.0ms)

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

prune118.0ms

Filtered

65 candidates to 91 candidates (-40.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

regimes113.0ms

Accuracy

0% (0.1b 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	10	6
1	10	6

end0.0ms

sample9.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.535645%

Guaranteed chance to sample good point: 41.50683%

Results

743.0ms	1685×	body	1280	valid
400.0ms	1441×	body	640	valid
281.0ms	3810×	body	80	valid
137.0ms	693×	body	320	valid
52.0ms	371×	body	160	valid
6.0ms	89×	body	80	invalid
1.0ms	2×	body	640	invalid
0.0ms	1×	body	320	invalid

Details

sample7.7s

simplify368.0ms

prune12.0ms

localize12.0ms

rewrite26.0ms

series91.0ms

simplify45.0ms

prune164.0ms

localize10.0ms

rewrite19.0ms

series57.0ms

simplify33.0ms

prune96.0ms

localize11.0ms

rewrite38.0ms

series65.0ms

simplify55.0ms

prune137.0ms

localize19.0ms

rewrite14.0ms

series112.0ms

simplify88.0ms

prune118.0ms

regimes113.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample9.7s

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