Details

sample253.0ms

Algorithm

intervals

Results

204.0ms	46×	body	1280	valid
13.0ms	167×	body	80	valid
11.0ms	41×	body	640	valid
4.0ms	23×	body	320	valid
3.0ms	18×	body	160	valid

simplify15.0ms

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

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

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

rewrite27.0ms

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))
10.0ms	(* x (/ 1.0 (tan B)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
5.0ms	(/ 1.0 (sin B))
19.0ms	(/ 1.0 (tan B))
35.0ms	(* 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

prune190.0ms

Filtered

113 candidates to 88 candidates (22.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	101	12	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	12	114

Merged error: 0.0b

Counts

114 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.1b	(/ (* x 1.0) (tan B))
0.1b	(/ 1.0 (sin 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)))
5.0ms	(/ (* x 1.0) (tan B))
3.0ms	(/ 1.0 (sin B))

series57.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
24.0ms	(/ (* x 1.0) (tan B))
5.0ms	(/ 1.0 (sin B))

simplify34.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (7.0ms)

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

prune116.0ms

Filtered

74 candidates to 54 candidates (27.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	74	12	86

Merged error: 0.0b

Counts

86 → 12

localize12.0ms

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

3.0ms	(/ 1.0 (sin B))
3.0ms	(/ 1.0 (sin B))
6.0ms	(* (/ 1.0 (sin B)) (cos B))
7.0ms	(* x (* (/ 1.0 (sin B)) (cos B)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1.0 (sin B))
8.0ms	(* (/ 1.0 (sin B)) (cos B))
20.0ms	(* 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

prune158.0ms

Filtered

119 candidates to 86 candidates (27.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	119	12	131

Merged error: 0.0b

Counts

131 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
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` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series98.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt x) (cbrt x))
22.0ms	(cbrt x)
23.0ms	(cbrt x)
27.0ms	(cbrt x)

simplify75.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune75.0ms

Filtered

85 candidates to 56 candidates (34.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

regimes152.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

757.0ms	1749×	body	1280	valid
407.0ms	1456×	body	640	valid
330.0ms	4913×	body	80	valid
136.0ms	709×	body	320	valid
43.0ms	311×	body	160	valid

Details

sample253.0ms

simplify15.0ms

prune12.0ms

localize14.0ms

rewrite27.0ms

series89.0ms

simplify45.0ms

prune190.0ms

localize11.0ms

rewrite20.0ms

series57.0ms

simplify34.0ms

prune116.0ms

localize12.0ms

rewrite24.0ms

series37.0ms

simplify41.0ms

prune158.0ms

localize14.0ms

rewrite11.0ms

series98.0ms

simplify75.0ms

prune75.0ms

regimes152.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

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