Details

sample387.0ms

Algorithm

intervals

Results

155.0ms	44×	body	1280	valid
54.0ms	56×	body	640	valid
36.0ms	163×	body	80	valid
19.0ms	26×	body	320	valid
5.0ms	12×	body	160	valid

simplify101.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	10	12
1	18	12
2	33	11
3	43	11
4	54	11
5	60	11
6	62	11
done	62	11

prune37.0ms

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)) (* x (/ 1.0 (tan B))))
0.2b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (tan B))
0.3b	(* x (/ 1.0 (tan B)))

rewrite152.0ms

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:

78.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
11.0ms	(/ 1.0 (sin B))
11.0ms	(/ 1.0 (tan B))
39.0ms	(* x (/ 1.0 (tan B)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
39.0ms	(/ 1.0 (sin B))
81.0ms	(/ 1.0 (tan B))
243.0ms	(* x (/ 1.0 (tan B)))

simplify1.7s

Counts

147 → 147

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	199	1713
1	478	1639
2	1726	1528
done	5001	1459

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
0.1b	(* x (cos B))
0.2b	(/ 1 (sin B))
0.2b	(/ (* x (cos B)) (sin B))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
107×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
98×	`add-cube-cbrt`
91×	`prod-diff`
28×	`div-inv`
15×	`add-exp-log`
13×	`fma-neg` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `associate-r` `associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `distribute-lft-out--`
1×	`sub-neg` `rec-exp` `flip3--` `pow-flip` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `inv-pow` `sub-div` `unswap-sqr`

Counts

4 → 204

Calls

4 calls:

79.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
17.0ms	(* x (cos B))
13.0ms	(/ 1 (sin B))
24.0ms	(/ (* x (cos B)) (sin B))

series470.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
68.0ms	(* x (cos B))
27.0ms	(/ 1 (sin B))
186.0ms	(/ (* x (cos B)) (sin B))

simplify3.2s

Counts

216 → 216

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	264	6388
1	612	4957
2	3111	4056
done	5000	3834

prune987.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

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` `expm1-log1p-u` `div-exp` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `associate-r/` `clear-num` `-commutative` `unswap-sqr`
1×	`associate-*l/`

Counts

4 → 115

Calls

4 calls:

11.0ms	(/ 1.0 (sin B))
11.0ms	(/ 1.0 (sin B))
74.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
35.0ms	(* x (/ 1.0 (sin B)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 1.0 (sin B))
42.0ms	(/ 1.0 (sin B))
206.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
109.0ms	(* x (/ 1.0 (sin B)))

simplify1.7s

Counts

127 → 127

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	140	1194
1	347	1150
2	1633	1022
done	5001	1014

prune825.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

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))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

27.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
2.0ms	(cbrt (sin B))
2.0ms	(cbrt (sin B))
3.0ms	(cbrt (sin B))

series715.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
165.0ms	(cbrt (sin B))
172.0ms	(cbrt (sin B))
181.0ms	(cbrt (sin B))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	79	750
1	183	664
2	715	564
done	5000	549

prune739.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	15	14
done	15	14

end0.0ms

sample7.9s

Algorithm

intervals

Results

2.7s	1765×	body	1280	valid
2.7s	1416×	body	640	valid
1.2s	4931×	body	80	valid
643.0ms	715×	body	320	valid
222.0ms	350×	body	160	valid