Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	41×	body	640	valid
0.0hr	46×	body	1280	valid
0.0hr	167×	body	80	valid
0.0hr	23×	body	320	valid
0.0hr	18×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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)))

rewrite0.0hr

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:

0.0hr	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.0hr	(/ 1.0 (sin B))
0.0hr	(/ 1.0 (tan B))
0.0hr	(* x (/ 1.0 (tan B)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.0hr	(/ 1.0 (sin B))
0.0hr	(/ 1.0 (tan B))
0.0hr	(* x (/ 1.0 (tan B)))

simplify0.0hr

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))

rewrite0.0hr

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:

0.0hr	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.0hr	(/ (* x 1.0) (tan B))
0.0hr	(/ 1.0 (sin B))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.0hr	(/ (* x 1.0) (tan B))
0.0hr	(/ 1.0 (sin B))

simplify0.0hr

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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)))

rewrite0.0hr

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:

0.0hr	(/ 1.0 (sin B))
0.0hr	(/ 1.0 (sin B))
0.0hr	(* (/ 1.0 (sin B)) (cos B))
0.0hr	(* x (* (/ 1.0 (sin B)) (cos B)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(/ 1.0 (sin B))
0.0hr	(/ 1.0 (sin B))
0.0hr	(* (/ 1.0 (sin B)) (cos B))
0.0hr	(* x (* (/ 1.0 (sin B)) (cos B)))

simplify0.0hr

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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)

rewrite0.0hr

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:

0.0hr	(* (cbrt x) (cbrt x))
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* (cbrt x) (cbrt x))
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

simplify0.0hr

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (0.0hr)

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

prune0.0hr

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

regimes0.0hr

Accuracy

0% (0.1b remaining)

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

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	1749×	body	1280	valid
0.0hr	1456×	body	640	valid
0.0hr	4913×	body	80	valid
0.0hr	709×	body	320	valid
0.0hr	311×	body	160	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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