Details

sample369.0ms

Algorithm

intervals

Results

160.0ms	66×	body	1280	valid
71.0ms	195×	body	80	valid
70.0ms	51×	body	640	valid
34.0ms	30×	body	320	valid
11.0ms	17×	body	160	valid

simplify3.2s

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.4b

localize64.0ms

Local error

Found 4 expressions with local error:

14.3b	(* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2))
2.9b	(/ (/ 2 (tan k)) (* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2)))
2.7b	(/ (* (/ l t) (/ l t)) (sin k))
0.6b	(/ t (/ (* (/ l t) (/ l t)) (sin k)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-cbrt-cube` `add-exp-log`
101×	`times-frac`
93×	`cbrt-undiv` `div-exp`
59×	`add-sqr-sqrt`
51×	`*-un-lft-identity` `add-cube-cbrt`
41×	`prod-exp` `cbrt-unprod`
26×	`associate-l`
18×	`associate-/l*`
13×	`div-inv`
11×	`associate-/r*`
6×	`pow1`
5×	`associate-/r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg` `associate-r` `associate-*l/` `unswap-sqr`
2×	`tan-quot` `fma-udef`
1×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 227

Calls

4 calls:

Slowest

61.0ms	(* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2))
54.0ms	(/ (/ 2 (tan k)) (* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2)))
27.0ms	(/ (* (/ l t) (/ l t)) (sin k))
26.0ms	(/ t (/ (* (/ l t) (/ l t)) (sin k)))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

916.0ms	(/ (/ 2 (tan k)) (* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2)))
270.0ms	(* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2))
107.0ms	(/ t (/ (* (/ l t) (/ l t)) (sin k)))
94.0ms	(/ (* (/ l t) (/ l t)) (sin k))

simplify2.2s

Counts: 239 → 239

prune3.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.9b

localize75.0ms

Local error

Found 4 expressions with local error:

17.6b	(/ (* (* (* (sin k) t) k) k) (* l l))
2.9b	(/ (/ 2 (tan k)) (fma 2 (/ (* (sin k) t) (* (/ l t) (/ l t))) (/ (* (* (* (sin k) t) k) k) (* l l))))
1.8b	(/ (* (sin k) t) (* (/ l t) (/ l t)))
0.2b	(* (/ l t) (/ l t))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
94×	`add-cbrt-cube` `add-exp-log`
87×	`add-sqr-sqrt`
75×	`*-un-lft-identity` `add-cube-cbrt`
33×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
16×	`associate-/l*`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1` `div-inv`
7×	`associate-/r/`
5×	`associate-/r*`
4×	`expm1-log1p-u` `tan-quot` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`

Counts

4 → 218

Calls

4 calls:

Slowest

113.0ms	(/ (* (* (* (sin k) t) k) k) (* l l))
25.0ms	(* (/ l t) (/ l t))
18.0ms	(/ (* (sin k) t) (* (/ l t) (/ l t)))
11.0ms	(/ (/ 2 (tan k)) (fma 2 (/ (* (sin k) t) (* (/ l t) (/ l t))) (/ (* (* (* (sin k) t) k) k) (* l l))))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

891.0ms	(/ (/ 2 (tan k)) (fma 2 (/ (* (sin k) t) (* (/ l t) (/ l t))) (/ (* (* (* (sin k) t) k) k) (* l l))))
167.0ms	(/ (* (sin k) t) (* (/ l t) (/ l t)))
131.0ms	(/ (* (* (* (sin k) t) k) k) (* l l))
27.0ms	(* (/ l t) (/ l t))

simplify2.3s

Counts: 230 → 230

prune3.5s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.9b

localize67.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ (* (* (sin k) t) k) l)
2.9b	(/ (/ 2 (tan k)) (fma 2 (/ (* (sin k) t) (* (/ l t) (/ l t))) (* (/ (* (* (sin k) t) k) l) (/ k l))))
1.8b	(/ (* (sin k) t) (* (/ l t) (/ l t)))
0.2b	(* (/ l t) (/ l t))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

122×	`times-frac`
89×	`add-sqr-sqrt`
77×	`*-un-lft-identity` `add-cube-cbrt`
71×	`add-cbrt-cube` `add-exp-log`
28×	`cbrt-undiv` `div-exp`
20×	`prod-exp` `cbrt-unprod`
16×	`associate-/l*`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1` `div-inv`
7×	`associate-/r*` `associate-/r/`
4×	`expm1-log1p-u` `tan-quot` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`

Counts

4 → 212

Calls

4 calls:

Slowest

40.0ms	(/ (* (* (sin k) t) k) l)
21.0ms	(/ (* (sin k) t) (* (/ l t) (/ l t)))
17.0ms	(* (/ l t) (/ l t))
10.0ms	(/ (/ 2 (tan k)) (fma 2 (/ (* (sin k) t) (* (/ l t) (/ l t))) (* (/ (* (* (sin k) t) k) l) (/ k l))))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

894.0ms	(/ (/ 2 (tan k)) (fma 2 (/ (* (sin k) t) (* (/ l t) (/ l t))) (* (/ (* (* (sin k) t) k) l) (/ k l))))
156.0ms	(/ (* (sin k) t) (* (/ l t) (/ l t)))
110.0ms	(/ (* (* (sin k) t) k) l)
33.0ms	(* (/ l t) (/ l t))

simplify1.7s

Counts: 224 → 224

prune3.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.1b

localize65.0ms

Local error

Found 4 expressions with local error:

4.1b	(/ (* (sin k) t) (/ l k))
2.9b	(/ (/ 2 (tan k)) (fma 2 (/ (* (sin k) t) (* (/ l t) (/ l t))) (* (/ (* (sin k) t) (/ l k)) (/ k l))))
1.8b	(/ (* (sin k) t) (* (/ l t) (/ l t)))
0.2b	(* (/ l t) (/ l t))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
101×	`add-sqr-sqrt`
89×	`*-un-lft-identity` `add-cube-cbrt`
74×	`add-cbrt-cube` `add-exp-log`
31×	`cbrt-undiv` `div-exp`
19×	`prod-exp` `cbrt-unprod`
17×	`associate-/r*`
16×	`associate-/l*`
13×	`swap-sqr` `associate-r` `associate-l` `div-inv`
11×	`pow1`
8×	`associate-/r/`
4×	`expm1-log1p-u` `tan-quot` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`

Counts

4 → 235

Calls

4 calls:

Slowest

25.0ms	(/ (* (sin k) t) (* (/ l t) (/ l t)))
22.0ms	(/ (* (sin k) t) (/ l k))
12.0ms	(* (/ l t) (/ l t))
10.0ms	(/ (/ 2 (tan k)) (fma 2 (/ (* (sin k) t) (* (/ l t) (/ l t))) (* (/ (* (sin k) t) (/ l k)) (/ k l))))

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

881.0ms	(/ (/ 2 (tan k)) (fma 2 (/ (* (sin k) t) (* (/ l t) (/ l t))) (* (/ (* (sin k) t) (/ l k)) (/ k l))))
514.0ms	(/ (* (sin k) t) (* (/ l t) (/ l t)))
93.0ms	(/ (* (sin k) t) (/ l k))
44.0ms	(* (/ l t) (/ l t))

simplify2.1s

Counts: 247 → 247

prune3.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.1b

regimes388.0ms

Accuracy

36.9% (1.2b remaining)

Error of 3.5b against oracle of 2.3b and baseline of 4.1b

bsearch436.0ms

end0.0ms

sample14.7s

Algorithm

intervals

Results

6.1s	2098×	body	1280	valid
3.4s	1665×	body	640	valid
3.3s	5984×	body	80	valid
1.1s	862×	body	320	valid
382.0ms	465×	body	160	valid