Details

sample892.0ms

Algorithm

intervals

Results

399.0ms	58×	body	640	valid
108.0ms	52×	body	1280	valid
40.0ms	141×	body	80	valid
28.0ms	27×	body	320	valid
8.0ms	14×	body	160	valid

simplify151.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	56
6	56
5	54
4	48
3	41
2	33
1	18
0	10

prune235.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize109.0ms

Local error

Found 3 expressions with local error:

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

rewrite364.0ms

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:

182.0ms	(- (/ 1.0 (sin B)) (/ (* 1.0 x) (tan B)))
23.0ms	(/ (* 1.0 x) (tan B))
93.0ms	(/ 1.0 (sin B))

series875.0ms

Counts

3 → 9

Calls

3 calls:

346.0ms	(- (/ 1.0 (sin B)) (/ (* 1.0 x) (tan B)))
413.0ms	(/ (* 1.0 x) (tan B))
107.0ms	(/ 1.0 (sin B))

simplify7.2s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
2	1691
1	670
0	283

prune2.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ 1.0 (/ (tan B) x)))
0.2b	(/ 1.0 (sin B))
0.2b	(/ (tan B) x)
0.3b	(/ 1.0 (/ (tan B) x))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

1371×	`times-frac`
855×	`add-sqr-sqrt`
842×	`*-un-lft-identity`
834×	`add-cube-cbrt`
572×	`prod-diff`
106×	`div-inv`
19×	`associate-/r*`
14×	`associate-/r/`
13×	`add-exp-log` `fma-neg` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp` `difference-of-squares`
5×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
1×	`tan-quot` `sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `associate-/l/`

Counts

4 → 742

Calls

4 calls:

150.0ms	(- (/ 1.0 (sin B)) (/ 1.0 (/ (tan B) x)))
12.0ms	(/ 1.0 (sin B))
15.0ms	(/ (tan B) x)
18.0ms	(/ 1.0 (/ (tan B) x))

series566.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(- (/ 1.0 (sin B)) (/ 1.0 (/ (tan B) x)))
39.0ms	(/ 1.0 (sin B))
95.0ms	(/ (tan B) x)
180.0ms	(/ 1.0 (/ (tan B) x))

simplify3.5s

Counts

754 → 754

Iterations

Iter	Nodes
done	5002
1	2421
0	1016

prune8.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ 1.0 (* (tan B) (/ 1 x))))
0.2b	(/ 1.0 (sin B))
0.3b	(/ 1.0 (* (tan B) (/ 1 x)))
0.3b	(* (tan B) (/ 1 x))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
144×	`add-sqr-sqrt`
143×	`prod-diff`
135×	`*-un-lft-identity`
132×	`add-cube-cbrt`
56×	`associate-/r/`
30×	`tan-quot` `add-exp-log` `div-inv`
20×	`add-cbrt-cube`
15×	`frac-times` `associate-r/` `associate-l/` `un-div-inv`
13×	`fma-neg` `associate-r`
10×	`div-exp`
8×	`prod-exp`
6×	`pow1` `cbrt-undiv` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `cbrt-unprod` `log1p-expm1-u`
3×	`associate-l` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--`

Counts

4 → 275

Calls

4 calls:

103.0ms	(- (/ 1.0 (sin B)) (/ 1.0 (* (tan B) (/ 1 x))))
11.0ms	(/ 1.0 (sin B))
28.0ms	(/ 1.0 (* (tan B) (/ 1 x)))
47.0ms	(* (tan B) (/ 1 x))

series557.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(- (/ 1.0 (sin B)) (/ 1.0 (* (tan B) (/ 1 x))))
35.0ms	(/ 1.0 (sin B))
171.0ms	(/ 1.0 (* (tan B) (/ 1 x)))
101.0ms	(* (tan B) (/ 1 x))

simplify3.7s

Counts

287 → 287

Iterations

Iter	Nodes
done	5059
2	3295
1	990
0	409

prune2.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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:

4.0ms	(cbrt (tan B))
4.0ms	(cbrt (tan B))
4.0ms	(cbrt (tan B))
41.0ms	(* (cbrt (tan B)) (cbrt (tan B)))

series998.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (tan B))
227.0ms	(cbrt (tan B))
236.0ms	(cbrt (tan B))
296.0ms	(* (cbrt (tan B)) (cbrt (tan B)))

simplify3.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
4	2604
3	1035
2	457
1	199
0	90

prune873.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.9s	1716×	body	1280	valid
1.7s	1434×	body	640	valid
1.2s	4859×	body	80	valid
636.0ms	691×	body	320	valid
154.0ms	352×	body	160	valid