Details

sample854.0ms

Algorithm

intervals

Results

250.0ms	108×	body	1280	valid
198.0ms	61×	body	2560	valid
172.0ms	106×	body	640	valid
158.0ms	24×	body	5120	valid
28.0ms	30×	body	320	valid
18.0ms	67×	body	80	valid
6.0ms	10×	body	160	valid

simplify1.8s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.7b

localize33.0ms

Local error

Found 4 expressions with local error:

25.9b	(/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t))
2.1b	(/ (* (/ l t) (/ l t)) t)
1.8b	(* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))
1.2b	(/ (/ 2 (* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))) (tan k))

rewrite235.0ms

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

102.0ms	(/ (/ 2 (* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))) (tan k))
74.0ms	(* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))
25.0ms	(/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t))
20.0ms	(/ (* (/ l t) (/ l t)) t)

series520.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

314.0ms	(/ (/ 2 (* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))) (tan k))
98.0ms	(* (/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t)) (sin k))
59.0ms	(/ (* (/ l t) (/ l t)) t)
48.0ms	(/ (* (/ k t) (/ k t)) (/ (* (/ l t) (/ l t)) t))

simplify1.7s

Counts: 346 → 346

prune5.2s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.7b

localize59.0ms

Local error

Found 4 expressions with local error:

16.6b	(/ (/ k t) (/ (/ l t) (* (cbrt t) (cbrt t))))
14.6b	(/ (/ k t) (/ (/ l t) (cbrt t)))
1.2b	(/ (/ 2 (* (/ (/ k t) (/ (/ l t) (* (cbrt t) (cbrt t)))) (* (/ (/ k t) (/ (/ l t) (cbrt t))) (sin k)))) (tan k))
0.7b	(/ 2 (* (/ (/ k t) (/ (/ l t) (* (cbrt t) (cbrt t)))) (* (/ (/ k t) (/ (/ l t) (cbrt t))) (sin k))))

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

4397×	`times-frac`
1810×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1669×	`add-exp-log`
1441×	`add-cbrt-cube`
1072×	`cbrt-undiv` `div-exp`
546×	`cbrt-prod`
398×	`prod-exp` `cbrt-unprod`
235×	`div-inv`
103×	`associate-/r*`
39×	`associate-/l*`
18×	`associate-/r/`
15×	`associate-*l/`
5×	`frac-times` `associate-*r/`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l/`
1×	`tan-quot`

Counts

4 → 1913

Calls

4 calls:

Slowest

143.0ms	(/ (/ 2 (* (/ (/ k t) (/ (/ l t) (* (cbrt t) (cbrt t)))) (* (/ (/ k t) (/ (/ l t) (cbrt t))) (sin k)))) (tan k))
123.0ms	(/ 2 (* (/ (/ k t) (/ (/ l t) (* (cbrt t) (cbrt t)))) (* (/ (/ k t) (/ (/ l t) (cbrt t))) (sin k))))
27.0ms	(/ (/ k t) (/ (/ l t) (* (cbrt t) (cbrt t))))
26.0ms	(/ (/ k t) (/ (/ l t) (cbrt t)))

series925.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

352.0ms	(/ (/ 2 (* (/ (/ k t) (/ (/ l t) (* (cbrt t) (cbrt t)))) (* (/ (/ k t) (/ (/ l t) (cbrt t))) (sin k)))) (tan k))
238.0ms	(/ 2 (* (/ (/ k t) (/ (/ l t) (* (cbrt t) (cbrt t)))) (* (/ (/ k t) (/ (/ l t) (cbrt t))) (sin k))))
195.0ms	(/ (/ k t) (/ (/ l t) (* (cbrt t) (cbrt t))))
139.0ms	(/ (/ k t) (/ (/ l t) (cbrt t)))

simplify12.4s

Counts: 1925 → 1925

prune33.9s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 6.8b

localize94.0ms

Local error

Found 4 expressions with local error:

14.6b	(/ (/ k t) (/ (/ l t) (cbrt t)))
9.6b	(/ (/ k (cbrt t)) (/ (/ l t) (cbrt t)))
3.7b	(* (* (/ 1 (* 1 (* (cbrt t) (cbrt t)))) (cbrt t)) (/ (/ k (cbrt t)) (/ (/ l t) (cbrt t))))
1.2b	(/ (/ 2 (* (* (* (/ 1 (* 1 (* (cbrt t) (cbrt t)))) (cbrt t)) (/ (/ k (cbrt t)) (/ (/ l t) (cbrt t)))) (* (/ (/ k t) (/ (/ l t) (cbrt t))) (sin k)))) (tan k))

rewrite2.8s

Algorithm

rewrite-expression-head

Rules

16233×	`times-frac`
12095×	`add-exp-log`
6825×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6678×	`div-exp`
5013×	`prod-exp`
3786×	`cbrt-prod`
2802×	`add-cbrt-cube`
2013×	`cbrt-undiv`
1809×	`associate-r`
1296×	`cbrt-unprod`
693×	`1-exp`
669×	`div-inv`
315×	`rec-exp`
167×	`associate-/r*`
55×	`associate-*l/`
49×	`associate-/l*`
32×	`associate-/r/`
21×	`frac-times`
13×	`associate-*r/`
9×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/l/`
1×	`associate-l` `tan-quot` `*-commutative`

Counts

4 → 6429

Calls

4 calls:

Slowest

1.4s	(/ (/ 2 (* (* (* (/ 1 (* 1 (* (cbrt t) (cbrt t)))) (cbrt t)) (/ (/ k (cbrt t)) (/ (/ l t) (cbrt t)))) (* (/ (/ k t) (/ (/ l t) (cbrt t))) (sin k)))) (tan k))
470.0ms	(* (* (/ 1 (* 1 (* (cbrt t) (cbrt t)))) (cbrt t)) (/ (/ k (cbrt t)) (/ (/ l t) (cbrt t))))
29.0ms	(/ (/ k t) (/ (/ l t) (cbrt t)))
23.0ms	(/ (/ k (cbrt t)) (/ (/ l t) (cbrt t)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

346.0ms	(/ (/ 2 (* (* (* (/ 1 (* 1 (* (cbrt t) (cbrt t)))) (cbrt t)) (/ (/ k (cbrt t)) (/ (/ l t) (cbrt t)))) (* (/ (/ k t) (/ (/ l t) (cbrt t))) (sin k)))) (tan k))
177.0ms	(* (* (/ 1 (* 1 (* (cbrt t) (cbrt t)))) (cbrt t)) (/ (/ k (cbrt t)) (/ (/ l t) (cbrt t))))
105.0ms	(/ (/ k t) (/ (/ l t) (cbrt t)))
27.0ms	(/ (/ k (cbrt t)) (/ (/ l t) (cbrt t)))