Details

sample329.0ms

Algorithm

intervals

Results

31.0ms	56×	body	1280	valid
16.0ms	48×	body	640	valid
14.0ms	171×	body	80	valid
4.0ms	18×	body	320	valid
2.0ms	9×	body	160	valid

simplify13.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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)))

rewrite41.0ms

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:

21.0ms	(- (/ 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)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
21.0ms	(/ 1.0 (sin B))
35.0ms	(/ 1.0 (tan B))
125.0ms	(* x (/ 1.0 (tan B)))

simplify50.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (11.0ms)

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

prune292.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
12×	`times-frac`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `div-inv`
2×	`frac-2neg` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

11.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
2.0ms	(/ 1.0 (sin B))
3.0ms	(* x (cos B))
4.0ms	(/ (* x (cos B)) (sin B))

series266.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
21.0ms	(/ 1.0 (sin B))
35.0ms	(* x (cos B))
96.0ms	(/ (* x (cos B)) (sin B))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	333	572
1	1375	511
2	5001	511

prune225.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

12.0ms	(- (/ 1.0 (sin B)) (* x (* 1.0 (/ (cos B) (sin B)))))
4.0ms	(/ 1.0 (sin B))
3.0ms	(/ (cos B) (sin B))
10.0ms	(* x (* 1.0 (/ (cos B) (sin B))))

series261.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (/ 1.0 (sin B)) (* x (* 1.0 (/ (cos B) (sin B)))))
19.0ms	(/ 1.0 (sin B))
19.0ms	(/ (cos B) (sin B))
104.0ms	(* x (* 1.0 (/ (cos B) (sin B))))

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	380	694
1	1418	623
2	5001	623

prune249.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ 1.0 (sin B)))
0.4b	(cbrt (/ 1.0 (sin B)))
0.4b	(cbrt (/ 1.0 (sin B)))
0.6b	(* (cbrt (/ 1.0 (sin B))) (cbrt (/ 1.0 (sin B))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

2.0ms	(cbrt (/ 1.0 (sin B)))
2.0ms	(cbrt (/ 1.0 (sin B)))
2.0ms	(cbrt (/ 1.0 (sin B)))
19.0ms	(* (cbrt (/ 1.0 (sin B))) (cbrt (/ 1.0 (sin B))))

series600.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (/ 1.0 (sin B)))
136.0ms	(cbrt (/ 1.0 (sin B)))
140.0ms	(cbrt (/ 1.0 (sin B)))
185.0ms	(* (cbrt (/ 1.0 (sin B))) (cbrt (/ 1.0 (sin B))))

simplify50.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	301	1430
1	1130	1366
2	5002	1300

prune520.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes65.0ms

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	12	8
1	12	8

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	1750×	body	1280	valid
485.0ms	1415×	body	640	valid
399.0ms	4932×	body	80	valid
169.0ms	701×	body	320	valid
59.0ms	363×	body	160	valid