Details

sample341.0ms

Algorithm

intervals

Results

33.0ms	55×	body	1280	valid
17.0ms	50×	body	640	valid
10.0ms	138×	body	80	valid
6.0ms	28×	body	320	valid
2.0ms	14×	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

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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

rewrite48.0ms

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:

28.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
2.0ms	(/ 1.0 (sin B))
2.0ms	(/ 1.0 (tan B))
11.0ms	(* x (/ 1.0 (tan B)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
22.0ms	(/ 1.0 (sin B))
35.0ms	(/ 1.0 (tan B))
122.0ms	(* 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

prune304.0ms

Filtered

113 candidates to 88 candidates (77.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite23.0ms

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:

15.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
2.0ms	(/ 1.0 (sin B))
4.0ms	(/ (* x 1.0) (tan B))

series253.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
18.0ms	(/ 1.0 (sin B))
108.0ms	(/ (* x 1.0) (tan B))

simplify36.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	316	461
1	1175	428
2	5001	428

prune201.0ms

Filtered

74 candidates to 56 candidates (75.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
0.1b	(/ (* x 1.0) (sin B))
0.1b	(/ 1.0 (sin B))
0.2b	(* (/ (* x 1.0) (sin B)) (cos B))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
7×	`associate-l`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`associate-/l*`
3×	`associate-r` `associate-*l/` `div-inv`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

12.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
4.0ms	(/ (* x 1.0) (sin B))
2.0ms	(/ 1.0 (sin B))
10.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

series294.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
59.0ms	(/ (* x 1.0) (sin B))
18.0ms	(/ 1.0 (sin B))
102.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

simplify56.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	393	673
1	1825	595
2	5002	595

prune247.0ms

Filtered

101 candidates to 72 candidates (71.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `times-frac` `add-cbrt-cube`
7×	`pow1`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

2 → 48

Calls

2 calls:

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

series126.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (* x 1.0) (cos B))
80.0ms	(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))

simplify37.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	439
1	1094	388
2	5001	388

prune123.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.2b 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	16	7
1	16	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

997.0ms	1702×	body	1280	valid
515.0ms	1452×	body	640	valid
386.0ms	4981×	body	80	valid
173.0ms	688×	body	320	valid
66.0ms	360×	body	160	valid