Details

sample348.0ms

Algorithm

intervals

Results

17.0ms	41×	body	1280	valid
14.0ms	46×	body	640	valid
9.0ms	151×	body	80	valid
6.0ms	33×	body	320	valid
1.0ms	9×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune31.0ms

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

localize14.0ms

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)))

rewrite28.0ms

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:

8.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
3.0ms	(/ 1.0 (sin B))
4.0ms	(/ 1.0 (tan B))
10.0ms	(* x (/ 1.0 (tan B)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
21.0ms	(/ 1.0 (sin B))
39.0ms	(/ 1.0 (tan B))
144.0ms	(* x (/ 1.0 (tan B)))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (9.0ms)

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

prune511.0ms

Filtered

113 candidates to 88 candidates (22.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	104	9	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	9	114

Merged error: 0.0b

Counts

114 → 9

localize14.0ms

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))

rewrite20.0ms

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))

series302.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
25.0ms	(/ 1.0 (sin B))
129.0ms	(/ (* x 1.0) (tan B))

simplify34.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (8.0ms)

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

prune234.0ms

Filtered

74 candidates to 56 candidates (24.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	74	9	83

Merged error: 0.0b

Counts

83 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(/ 1.0 (sin B))
0.2b	(* (/ 1.0 (sin B)) (cos B))
0.3b	(* x (* (/ 1.0 (sin B)) (cos 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-l`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/r` `associate-/l`
4×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`associate-*r/`

Counts

4 → 107

Calls

4 calls:

4.0ms	(/ 1.0 (sin B))
4.0ms	(/ 1.0 (sin B))
6.0ms	(* (/ 1.0 (sin B)) (cos B))
7.0ms	(* x (* (/ 1.0 (sin B)) (cos B)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1.0 (sin B))
21.0ms	(/ 1.0 (sin B))
48.0ms	(* (/ 1.0 (sin B)) (cos B))
130.0ms	(* x (* (/ 1.0 (sin B)) (cos B)))

simplify41.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	317	683
1	1315	591
2	5001	591

prune485.0ms

Filtered

119 candidates to 86 candidates (27.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	118	10	128

Merged error: 0.0b

Counts

128 → 10

localize10.0ms

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))
6.0ms	(* x (/ 1.0 (sin B)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1.0 (sin B))
21.0ms	(/ 1.0 (sin B))
128.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
69.0ms	(* 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

prune417.0ms

Filtered

119 candidates to 83 candidates (30.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	119	10	129

Merged error: 0.0b

Counts

129 → 10

regimes143.0ms

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	6
1	10	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

730.0ms	1700×	body	1280	valid
379.0ms	1431×	body	640	valid
311.0ms	4918×	body	80	valid
135.0ms	712×	body	320	valid
47.0ms	354×	body	160	valid

Details

sample348.0ms

simplify14.0ms

prune31.0ms

localize14.0ms

rewrite28.0ms

series350.0ms

simplify45.0ms

prune511.0ms

localize14.0ms

rewrite20.0ms

series302.0ms

simplify34.0ms

prune234.0ms

localize10.0ms

rewrite23.0ms

series220.0ms

simplify41.0ms

prune485.0ms

localize10.0ms

rewrite23.0ms

series241.0ms

simplify47.0ms

prune417.0ms

regimes143.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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