Details

sample267.0ms

Algorithm

intervals

Results

60.0ms	52×	body	1280	valid
41.0ms	54×	body	640	valid
28.0ms	148×	body	80	valid
12.0ms	23×	body	320	valid
5.0ms	13×	body	160	valid

simplify85.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	53
5	53
4	50
3	39
2	31
1	18
0	10

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
14×	`associate-l`
13×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
2×	`clear-num` `frac-2neg` `associate-*l/` `prod-exp` `tan-quot` `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)) (* (/ 1.0 (tan B)) x))
5.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1.0 (tan B))
42.0ms	(* (/ 1.0 (tan B)) x)

series363.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(- (/ 1.0 (sin B)) (* (/ 1.0 (tan B)) x))
23.0ms	(/ 1.0 (sin B))
46.0ms	(/ 1.0 (tan B))
114.0ms	(* (/ 1.0 (tan B)) x)

simplify1.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1607
1	406
0	176

prune715.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
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×	`clear-num` `frac-2neg` `prod-exp` `associate-*r/` `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:

39.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
14.0ms	(* x (cos B))
6.0ms	(/ 1.0 (sin B))
10.0ms	(/ (* x (cos B)) (sin B))

series409.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
65.0ms	(* x (cos B))
28.0ms	(/ 1.0 (sin B))
155.0ms	(/ (* x (cos B)) (sin B))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1458
1	355
0	150

prune586.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cos B))
0.1b	(/ 1.0 (sin B))
0.2b	(/ (sin B) (* x (cos B)))
0.3b	(/ 1 (/ (sin B) (* x (cos B))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
34×	`add-sqr-sqrt` `add-exp-log`
32×	`*-un-lft-identity` `add-cube-cbrt`
22×	`add-cbrt-cube`
15×	`div-exp`
11×	`associate-/r*`
9×	`associate-/l*`
8×	`cbrt-undiv`
7×	`pow1` `div-inv`
5×	`prod-exp`
4×	`add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r` `associate-l` `cbrt-unprod`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

7.0ms	(* x (cos B))
5.0ms	(/ 1.0 (sin B))
11.0ms	(/ (sin B) (* x (cos B)))
14.0ms	(/ 1 (/ (sin B) (* x (cos B))))

series295.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* x (cos B))
22.0ms	(/ 1.0 (sin B))
122.0ms	(/ (sin B) (* x (cos B)))
105.0ms	(/ 1 (/ (sin B) (* x (cos B))))

simplify1.9s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	1674
1	451
0	197

prune701.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin B)) (cbrt (sin B)))
0.6b	(cbrt (sin B))
0.6b	(cbrt (sin B))
0.6b	(cbrt (sin B))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

20.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
1.0ms	(cbrt (sin B))
1.0ms	(cbrt (sin B))
1.0ms	(cbrt (sin B))

series724.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
144.0ms	(cbrt (sin B))
183.0ms	(cbrt (sin B))
193.0ms	(cbrt (sin B))

simplify1.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	753
1	177
0	75

prune424.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.8s	1710×	body	1280	valid
1.2s	1422×	body	640	valid
1.1s	4905×	body	80	valid
453.0ms	700×	body	320	valid
253.0ms	379×	body	160	valid