Details

sample1.0s

Algorithm

intervals

Results

283.0ms	137×	body	1280	valid
273.0ms	76×	body	2560	valid
212.0ms	29×	body	5120	valid
89.0ms	70×	body	640	valid
61.0ms	37×	body	320	valid
59.0ms	62×	body	80	valid
14.0ms	20×	body	160	valid

simplify2.4s

Counts: 1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.0b

localize33.0ms

Local error

Found 4 expressions with local error:

29.6b	(/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t))
2.5b	(* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))
0.6b	(/ (* (/ l t) (/ l t)) t)
0.5b	(/ (/ 2 (* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))) (tan k))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

672×	`add-cbrt-cube` `add-exp-log`
371×	`cbrt-undiv` `div-exp`
198×	`prod-exp` `cbrt-unprod`
65×	`times-frac`
37×	`add-sqr-sqrt`
31×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/r*`
12×	`associate-l`
11×	`div-inv`
10×	`associate-/l*`
7×	`associate-*l/` `associate-/r/` `associate-/l/`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `unswap-sqr`
2×	`frac-times` `associate-*r/`
1×	`pow-prod-down` `tan-quot` `*-commutative`

Counts

4 → 334

Calls

4 calls:

Slowest

88.0ms	(* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))
88.0ms	(/ (/ 2 (* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))) (tan k))
34.0ms	(/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t))
26.0ms	(/ (* (/ l t) (/ l t)) t)

series584.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

338.0ms	(/ (/ 2 (* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))) (tan k))
114.0ms	(* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))
75.0ms	(/ (* (/ l t) (/ l t)) t)
57.0ms	(/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t))

simplify1.6s

Counts: 346 → 346

prune5.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.9b

localize42.0ms

Local error

Found 4 expressions with local error:

15.3b	(/ (/ k t) (/ l t))
15.3b	(/ (/ k t) (/ l t))
4.7b	(* (/ (/ k t) (/ l t)) t)
2.5b	(* (* (/ (/ k t) (/ l t)) (* (/ (/ k t) (/ l t)) t)) (sin k))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

1253×	`times-frac`
599×	`add-sqr-sqrt`
581×	`*-un-lft-identity` `add-cube-cbrt`
251×	`add-cbrt-cube` `add-exp-log`
175×	`associate-l`
112×	`cbrt-undiv` `div-exp`
91×	`prod-exp` `cbrt-unprod`
85×	`div-inv`
26×	`associate-/r` `associate-/l`
15×	`pow1`
7×	`pow-prod-down` `associate-*l/`
6×	`associate-r`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r/`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`frac-times` `associate-*r/`

Counts

4 → 724

Calls

4 calls:

Slowest

211.0ms	(* (* (/ (/ k t) (/ l t)) (* (/ (/ k t) (/ l t)) t)) (sin k))
40.0ms	(* (/ (/ k t) (/ l t)) t)
26.0ms	(/ (/ k t) (/ l t))
19.0ms	(/ (/ k t) (/ l t))

series170.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

109.0ms	(* (* (/ (/ k t) (/ l t)) (* (/ (/ k t) (/ l t)) t)) (sin k))
34.0ms	(* (/ (/ k t) (/ l t)) t)
15.0ms	(/ (/ k t) (/ l t))
13.0ms	(/ (/ k t) (/ l t))

simplify1.7s

Counts: 736 → 736

prune11.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.7b

localize44.0ms

Local error

Found 4 expressions with local error:

15.3b	(/ (/ k t) (/ l t))
4.7b	(* (/ k l) t)
2.5b	(* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))
0.5b	(/ (/ 2 (* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))) (tan k))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

473×	`times-frac`
233×	`add-sqr-sqrt`
230×	`add-cbrt-cube` `add-exp-log`
228×	`*-un-lft-identity` `add-cube-cbrt`
102×	`cbrt-undiv` `div-exp`
84×	`prod-exp` `cbrt-unprod`
35×	`div-inv`
31×	`associate-*l/`
23×	`associate-/l*`
16×	`associate-/r*`
15×	`pow1`
14×	`associate-l` `associate-/r/`
7×	`pow-prod-down`
6×	`associate-r`
5×	`frac-times` `associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`tan-quot`

Counts

4 → 400

Calls

4 calls:

Slowest

163.0ms	(/ (/ 2 (* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))) (tan k))
154.0ms	(* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))
19.0ms	(* (/ k l) t)
18.0ms	(/ (/ k t) (/ l t))

series575.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

403.0ms	(/ (/ 2 (* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))) (tan k))
126.0ms	(* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))
36.0ms	(* (/ k l) t)
9.0ms	(/ (/ k t) (/ l t))

simplify1.5s

Counts: 412 → 412

prune5.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.8b

localize30.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (/ k l) t)
2.5b	(* (* (/ k l) (* (/ k l) t)) (sin k))
0.5b	(/ (/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k))) (tan k))
0.5b	(/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k)))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

124×	`add-cbrt-cube` `add-exp-log`
55×	`times-frac`
53×	`prod-exp` `cbrt-unprod`
41×	`cbrt-undiv` `div-exp`
39×	`add-sqr-sqrt`
37×	`associate-*l/`
34×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r/`
15×	`pow1`
14×	`associate-l`
13×	`associate-/l*`
7×	`pow-prod-down` `div-inv`
6×	`frac-times` `associate-r` `associate-*r/`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr`
1×	`tan-quot` `associate-/l/`

Counts

4 → 185

Calls

4 calls:

Slowest

156.0ms	(/ (/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k))) (tan k))
86.0ms	(* (* (/ k l) (* (/ k l) t)) (sin k))
81.0ms	(/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k)))
9.0ms	(* (/ k l) t)

series534.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

272.0ms	(/ (/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k))) (tan k))
124.0ms	(* (* (/ k l) (* (/ k l) t)) (sin k))
116.0ms	(/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k)))
22.0ms	(* (/ k l) t)

simplify1.9s

Counts: 197 → 197

prune2.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch4.0ms

end0.0ms

sample39.9s

Algorithm

intervals

Results

12.5s	4152×	body	1280	valid
10.4s	2263×	body	2560	valid
8.6s	968×	body	5120	valid
5.2s	2477×	body	640	valid
1.4s	1030×	body	320	valid
802.0ms	2027×	body	80	valid
408.0ms	456×	body	160	valid