Details

sample389.0ms

Algorithm

intervals

Results

169.0ms	59×	body	1280	valid
64.0ms	51×	body	640	valid
51.0ms	139×	body	80	valid
11.0ms	26×	body	320	valid
4.0ms	15×	body	160	valid

simplify78.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	10	12
1	18	12
2	33	11
3	43	11
4	54	11
5	59	11
6	61	11
done	61	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
46×	`times-frac`
42×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
13×	`add-exp-log` `fma-neg` `prod-diff` `add-cbrt-cube`
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×	`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 → 135

Calls

4 calls:

49.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
6.0ms	(/ 1.0 (sin B))
7.0ms	(/ 1.0 (tan B))
22.0ms	(* x (/ 1.0 (tan B)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
24.0ms	(/ 1.0 (sin B))
43.0ms	(/ 1.0 (tan B))
158.0ms	(* x (/ 1.0 (tan B)))

simplify2.3s

Counts

147 → 147

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	199	1713
1	446	1635
2	1139	1489
3	3298	1451
done	5000	1440

prune680.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

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-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 188

Calls

3 calls:

87.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
23.0ms	(/ (* x 1.0) (tan B))
12.0ms	(/ 1.0 (sin B))

series391.0ms

Counts

3 → 9

Calls

3 calls:

197.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
155.0ms	(/ (* x 1.0) (tan B))
39.0ms	(/ 1.0 (sin B))

simplify2.1s

Counts

197 → 197

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	284	6281
1	640	5115
2	1652	4181
done	5000	3472

prune618.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
15×	`times-frac`
9×	`associate-/r*`
6×	`pow1`
5×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

27.0ms	(* x (cos B))
11.0ms	(/ 1.0 (sin B))
24.0ms	(/ (* x (cos B)) (sin B))
26.0ms	(/ (* x (cos B)) (sin B))

series392.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* x (cos B))
21.0ms	(/ 1.0 (sin B))
163.0ms	(/ (* x (cos B)) (sin B))
160.0ms	(/ (* x (cos B)) (sin B))

simplify3.5s

Counts

107 → 107

Iterations

Useful iterations: 3 (761.0ms)

Iter	Nodes	Cost
0	124	933
1	249	905
2	658	787
3	2214	785
done	5000	785

prune445.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`add-cbrt-cube`
12×	`cbrt-prod`
9×	`associate-/r*`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp` `associate-r`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

13.0ms	(/ (cbrt 1.0) (sin B))
21.0ms	(/ (* x 1.0) (sin B))
18.0ms	(/ (* x (cos B)) (sin B))
22.0ms	(* (cos B) (/ (* x 1.0) (sin B)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (cbrt 1.0) (sin B))
82.0ms	(/ (* x 1.0) (sin B))
179.0ms	(/ (* x (cos B)) (sin B))
140.0ms	(* (cos B) (/ (* x 1.0) (sin B)))

simplify2.2s

Counts

128 → 128

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	194	1361
1	430	1316
2	1508	1151
done	5000	1148

prune693.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	17	27
done	17	27

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.9s	1758×	body	1280	valid
1.8s	1463×	body	640	valid
1.0s	4847×	body	80	valid
454.0ms	728×	body	320	valid
133.0ms	391×	body	160	valid