Details

sample1.2s

Algorithm

intervals

Results

405.0ms	145×	body	1280	valid
360.0ms	74×	body	2560	valid
233.0ms	35×	body	5120	valid
118.0ms	75×	body	640	valid
37.0ms	30×	body	320	valid
23.0ms	59×	body	80	valid
15.0ms	17×	body	160	valid

simplify2.4s

Counts: 1 → 1

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.6b

localize43.0ms

Local error

Found 4 expressions with local error:

30.9b	(/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t))
1.8b	(* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))
1.3b	(/ (* (/ l t) (/ l t)) t)
0.9b	(/ (/ 2 (* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))) (tan k))

rewrite254.0ms

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

99.0ms	(/ (/ 2 (* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))) (tan k))
69.0ms	(* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))
37.0ms	(/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t))
28.0ms	(/ (* (/ l t) (/ l t)) t)

series520.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

258.0ms	(/ (/ 2 (* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))) (tan k))
130.0ms	(* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))
66.0ms	(/ (* (/ l t) (/ l t)) t)
66.0ms	(/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t))

simplify1.5s

Counts: 346 → 346

prune4.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.2b

localize70.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (/ k t) (/ l t))
15.5b	(/ (/ k t) (/ l t))
4.0b	(* (/ (/ k t) (/ l t)) t)
1.8b	(* (* (/ (/ k t) (/ l t)) (* (/ (/ k t) (/ l t)) t)) (sin k))

rewrite255.0ms

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

180.0ms	(* (* (/ (/ k t) (/ l t)) (* (/ (/ k t) (/ l t)) t)) (sin k))
20.0ms	(* (/ (/ k t) (/ l t)) t)
19.0ms	(/ (/ k t) (/ l t))
14.0ms	(/ (/ k t) (/ l t))

series162.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(* (* (/ (/ k t) (/ l t)) (* (/ (/ k t) (/ l t)) t)) (sin k))
36.0ms	(* (/ (/ k t) (/ l t)) t)
17.0ms	(/ (/ k t) (/ l t))
16.0ms	(/ (/ k t) (/ l t))

simplify1.6s

Counts: 736 → 736

prune11.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.2b

localize40.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (/ k t) (/ l t))
4.0b	(* (/ k l) t)
1.8b	(* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))
0.9b	(/ (/ 2 (* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))) (tan k))

rewrite445.0ms

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

194.0ms	(/ (/ 2 (* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))) (tan k))
183.0ms	(* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))
28.0ms	(/ (/ k t) (/ l t))
21.0ms	(* (/ k l) t)

series497.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

326.0ms	(/ (/ 2 (* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))) (tan k))
111.0ms	(* (* (/ (/ k t) (/ l t)) (* (/ k l) t)) (sin k))
45.0ms	(* (/ k l) t)
15.0ms	(/ (/ k t) (/ l t))

simplify1.6s

Counts: 412 → 412

prune6.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.0b

localize50.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (/ k l) t)
1.8b	(* (* (/ k l) (* (/ k l) t)) (sin k))
0.9b	(/ (/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k))) (tan k))
0.7b	(/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k)))

rewrite457.0ms

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

157.0ms	(/ (/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k))) (tan k))
143.0ms	(* (* (/ k l) (* (/ k l) t)) (sin k))
131.0ms	(/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k)))
19.0ms	(* (/ k l) t)

series925.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

658.0ms	(/ (/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k))) (tan k))
126.0ms	(* (* (/ k l) (* (/ k l) t)) (sin k))
104.0ms	(/ 2 (* (* (/ k l) (* (/ k l) t)) (sin k)))
36.0ms	(* (/ k l) t)

simplify1.5s

Counts: 197 → 197

prune2.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 1.7b

bsearch4.0ms

end0.0ms

sample44.3s

Algorithm

intervals

Results

13.8s	4112×	body	1280	valid
11.5s	2234×	body	2560	valid
8.5s	942×	body	5120	valid
6.2s	2437×	body	640	valid
2.4s	1026×	body	320	valid
887.0ms	2018×	body	80	valid
491.0ms	428×	body	160	valid