Details

sample78.0ms

Algorithm

intervals

Results

35.0ms	55×	body	1280	valid
13.0ms	38×	body	640	valid
12.0ms	152×	body	80	valid
6.0ms	27×	body	320	valid
2.0ms	12×	body	160	valid

simplify10.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

12.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
2.0ms	(/ 1.0 (tan B))
2.0ms	(/ 1.0 (sin B))
9.0ms	(* x (/ 1.0 (tan B)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
34.0ms	(/ 1.0 (tan B))
18.0ms	(/ 1.0 (sin B))
112.0ms	(* x (/ 1.0 (tan B)))

simplify43.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (9.0ms)

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

prune297.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite33.0ms

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:

2.0ms	(/ 1.0 (sin B))
2.0ms	(/ 1.0 (sin B))
16.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
9.0ms	(* x (/ 1.0 (sin B)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ 1.0 (sin B))
18.0ms	(/ 1.0 (sin B))
107.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
54.0ms	(* 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

prune292.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite32.0ms

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:

13.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
3.0ms	(/ (* x 1.0) (sin B))
2.0ms	(/ 1.0 (sin B))
11.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

series296.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
58.0ms	(/ (* x 1.0) (sin B))
18.0ms	(/ 1.0 (sin B))
104.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (10.0ms)

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

prune257.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

2.0ms	(- 1.0 (* (* x 1.0) (cos B)))
7.0ms	(* (* x 1.0) (cos B))
6.0ms	(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))

series171.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- 1.0 (* (* x 1.0) (cos B)))
45.0ms	(* (* x 1.0) (cos B))
80.0ms	(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))

simplify41.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	290	533
1	1233	481
2	5001	479

prune161.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes71.0ms

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	11	6
1	11	6

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	1686×	body	1280	valid
554.0ms	1496×	body	640	valid
393.0ms	4890×	body	80	valid
177.0ms	727×	body	320	valid
69.0ms	379×	body	160	valid