Details

sample157.0ms

Algorithm

intervals

Results

56.0ms	69×	body	1280	valid
27.0ms	9×	body	160	valid
27.0ms	51×	body	640	valid
17.0ms	135×	body	80	valid
9.0ms	23×	body	320	valid

simplify41.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	62
6	62
5	60
4	54
3	43
2	33
1	18
0	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

133×	`times-frac`
107×	`add-sqr-sqrt`
104×	`*-un-lft-identity` `prod-diff`
102×	`add-cube-cbrt`
24×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--`

Counts

3 → 188

Calls

3 calls:

48.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
6.0ms	(/ 1.0 (sin B))
12.0ms	(/ (* x 1.0) (tan B))

series366.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
29.0ms	(/ 1.0 (sin B))
157.0ms	(/ (* x 1.0) (tan B))

simplify1.5s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
2	2707
1	680
0	285

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`add-cbrt-cube` `fma-neg` `prod-diff` `add-exp-log`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
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 → 115

Calls

4 calls:

27.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
4.0ms	(/ 1.0 (sin B))
7.0ms	(* x (cos B))
10.0ms	(/ (* x (cos B)) (sin B))

series294.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
25.0ms	(/ 1.0 (sin B))
39.0ms	(* x (cos B))
104.0ms	(/ (* x (cos B)) (sin B))

simplify1.3s

Counts

127 → 127

Iterations

Iter	Nodes
done	5002
2	1735
1	421
0	175

prune802.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt` `times-frac`
31×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
13×	`fma-neg` `prod-diff`
7×	`associate-l`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`associate-r` `associate-*l/`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

30.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
5.0ms	(/ 1.0 (sin B))
11.0ms	(/ (* x 1.0) (sin B))
22.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

series409.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
29.0ms	(/ 1.0 (sin B))
75.0ms	(/ (* x 1.0) (sin B))
135.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

simplify1.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	2474
1	486
0	186

prune926.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))
0.3b	(* x (/ 1.0 (tan B)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
46×	`times-frac`
42×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-r`
13×	`add-cbrt-cube` `fma-neg` `prod-diff` `add-exp-log`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-l`
2×	`clear-num` `frac-2neg` `prod-exp` `tan-quot` `associate-*r/` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--`

Counts

4 → 135

Calls

4 calls:

42.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
8.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1.0 (tan B))
20.0ms	(* x (/ 1.0 (tan B)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
39.0ms	(/ 1.0 (sin B))
49.0ms	(/ 1.0 (tan B))
145.0ms	(* x (/ 1.0 (tan B)))

simplify1.3s

Counts

147 → 147

Iterations

Iter	Nodes
done	5001
2	1727
1	480
0	200

prune863.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

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

sample5.9s

Algorithm

intervals

Results

2.0s	1661×	body	1280	valid
1.6s	1489×	body	640	valid
1.6s	4896×	body	80	valid
336.0ms	720×	body	320	valid
163.0ms	350×	body	160	valid