Details

sample436.0ms

Algorithm

intervals

Results

193.0ms	40×	body	640	valid
74.0ms	58×	body	1280	valid
71.0ms	166×	body	80	valid
9.0ms	16×	body	320	valid
6.0ms	17×	body	160	valid

simplify97.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

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))
0.1b	(/ 1.0 (tan B))
0.3b	(* x (/ 1.0 (tan B)))

rewrite119.0ms

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:

50.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
12.0ms	(/ 1.0 (sin B))
12.0ms	(/ 1.0 (tan B))
39.0ms	(* x (/ 1.0 (tan B)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
41.0ms	(/ 1.0 (sin B))
57.0ms	(/ 1.0 (tan B))
189.0ms	(* x (/ 1.0 (tan B)))

simplify2.7s

Counts

147 → 147

Iterations

Useful iterations: done (2.7s)

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

prune614.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`add-exp-log` `fma-neg` `prod-diff` `add-cbrt-cube`
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×	`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 → 115

Calls

4 calls:

41.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
18.0ms	(* x (cos B))
12.0ms	(/ 1.0 (sin B))
26.0ms	(/ (* x (cos B)) (sin B))

series430.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
55.0ms	(* x (cos B))
37.0ms	(/ 1.0 (sin B))
159.0ms	(/ (* x (cos B)) (sin B))

simplify4.0s

Counts

127 → 127

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	174	1742
1	393	1688
2	1131	1482
3	4900	1443
done	5000	1443

prune480.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (tan B)) (cbrt (tan B)))
0.5b	(cbrt (tan B))
0.5b	(cbrt (tan B))
0.5b	(cbrt (tan B))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
7×	`tan-quot` `cbrt-div`
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` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

47.0ms	(* (cbrt (tan B)) (cbrt (tan B)))
4.0ms	(cbrt (tan B))
4.0ms	(cbrt (tan B))
4.0ms	(cbrt (tan B))

series813.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (tan B)) (cbrt (tan B)))
194.0ms	(cbrt (tan B))
175.0ms	(cbrt (tan B))
202.0ms	(cbrt (tan B))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	90	824
1	176	740
2	391	695
3	819	651
4	1909	646
done	5000	614

prune460.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ 1.0 (sin B)))
0.5b	(cbrt (/ 1.0 (sin B)))
0.5b	(cbrt (/ 1.0 (sin B)))
0.5b	(* (cbrt (/ 1.0 (sin B))) (cbrt (/ 1.0 (sin B))))

rewrite63.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 152

Calls

4 calls:

6.0ms	(cbrt (/ 1.0 (sin B)))
3.0ms	(cbrt (/ 1.0 (sin B)))
3.0ms	(cbrt (/ 1.0 (sin B)))
37.0ms	(* (cbrt (/ 1.0 (sin B))) (cbrt (/ 1.0 (sin B))))

series929.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (/ 1.0 (sin B)))
199.0ms	(cbrt (/ 1.0 (sin B)))
225.0ms	(cbrt (/ 1.0 (sin B)))
278.0ms	(* (cbrt (/ 1.0 (sin B))) (cbrt (/ 1.0 (sin B))))

simplify1.8s

Counts

164 → 164

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	174	2305
1	310	2134
2	849	2047
3	2160	1938
done	5000	1929

prune864.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.1b 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	10	14
1	12	14
done	12	14

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.5s	1449×	body	640	valid
2.3s	1730×	body	1280	valid
1.1s	4913×	body	80	valid
460.0ms	705×	body	320	valid
249.0ms	339×	body	160	valid