Details

sample1.1s

Algorithm

intervals

Results

318.0ms	129×	body	1280	valid
288.0ms	73×	body	2560	valid
202.0ms	29×	body	5120	valid
185.0ms	85×	body	640	valid
49.0ms	45×	body	320	valid
18.0ms	53×	body	80	valid
8.0ms	12×	body	160	valid

simplify2.0s

Counts: 1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.5b

localize58.0ms

Local error

Found 4 expressions with local error:

31.4b	(/ (/ 2 (* (/ k t) (/ k t))) (* (/ (sin k) (/ l t)) (/ t (/ l t))))
2.9b	(/ (sin k) (/ l t))
0.4b	(/ (/ (/ 2 (* (/ k t) (/ k t))) (* (/ (sin k) (/ l t)) (/ t (/ l t)))) (tan k))
0.4b	(/ 2 (* (/ k t) (/ k t)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

913×	`add-cbrt-cube` `add-exp-log`
589×	`cbrt-undiv` `div-exp`
197×	`times-frac`
192×	`prod-exp` `cbrt-unprod`
82×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
38×	`associate-/r/`
33×	`associate-/l*`
18×	`associate-/r*` `div-inv`
12×	`frac-times` `associate-l/` `associate-r/`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`tan-quot`

Counts

4 → 472

Calls

4 calls:

Slowest

46.0ms	(/ (/ 2 (* (/ k t) (/ k t))) (* (/ (sin k) (/ l t)) (/ t (/ l t))))
41.0ms	(/ (/ (/ 2 (* (/ k t) (/ k t))) (* (/ (sin k) (/ l t)) (/ t (/ l t)))) (tan k))
18.0ms	(/ (sin k) (/ l t))
14.0ms	(/ 2 (* (/ k t) (/ k t)))

series686.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

378.0ms	(/ (/ (/ 2 (* (/ k t) (/ k t))) (* (/ (sin k) (/ l t)) (/ t (/ l t)))) (tan k))
177.0ms	(/ (/ 2 (* (/ k t) (/ k t))) (* (/ (sin k) (/ l t)) (/ t (/ l t))))
81.0ms	(/ (sin k) (/ l t))
50.0ms	(/ 2 (* (/ k t) (/ k t)))

simplify1.3s

Counts: 484 → 484

prune7.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.1b

localize45.0ms

Local error

Found 4 expressions with local error:

23.1b	(/ (/ 2 (/ k t)) (/ t (/ l t)))
15.8b	(/ (/ 1 (/ k t)) (/ (sin k) (/ l t)))
2.9b	(/ (sin k) (/ l t))
0.6b	(/ 2 (/ k t))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

15902×	`times-frac`
6388×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
732×	`div-inv`
184×	`associate-/r/`
128×	`add-exp-log`
114×	`associate-/r*`
96×	`div-exp`
94×	`associate-/l*`
86×	`add-cbrt-cube`
60×	`cbrt-undiv`
6×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`

Counts

4 → 4272

Calls

4 calls:

Slowest

23.0ms	(/ (/ 1 (/ k t)) (/ (sin k) (/ l t)))
14.0ms	(/ (/ 2 (/ k t)) (/ t (/ l t)))
12.0ms	(/ 2 (/ k t))
9.0ms	(/ (sin k) (/ l t))

series288.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(/ (sin k) (/ l t))
96.0ms	(/ (/ 1 (/ k t)) (/ (sin k) (/ l t)))
60.0ms	(/ (/ 2 (/ k t)) (/ t (/ l t)))
32.0ms	(/ 2 (/ k t))

simplify31.0s

Counts: 4284 → 4284

prune1.2m

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.5b

localize42.0ms

Local error

Found 4 expressions with local error:

15.8b	(/ (/ 1 (/ k t)) (/ (sin k) (/ l t)))
5.2b	(* (/ (/ 2 k) (/ 1 l)) (* 1 (/ 1 t)))
2.9b	(/ (sin k) (/ l t))
0.6b	(/ 1 (/ k t))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

8429×	`times-frac`
3421×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
440×	`add-exp-log`
398×	`div-inv`
253×	`div-exp`
174×	`associate-l`
153×	`prod-exp`
119×	`add-cbrt-cube`
94×	`associate-/r/`
80×	`1-exp`
70×	`associate-/r*`
62×	`cbrt-undiv`
50×	`associate-/l*`
44×	`rec-exp`
25×	`cbrt-unprod`
10×	`pow1`
4×	`expm1-log1p-u` `associate-*r/` `un-div-inv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down`
2×	`frac-times`
1×	`associate-r` `associate-l/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 2511

Calls

4 calls:

Slowest

44.0ms	(* (/ (/ 2 k) (/ 1 l)) (* 1 (/ 1 t)))
15.0ms	(/ (/ 1 (/ k t)) (/ (sin k) (/ l t)))
9.0ms	(/ (sin k) (/ l t))
6.0ms	(/ 1 (/ k t))

series196.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

73.0ms	(/ (sin k) (/ l t))
71.0ms	(/ (/ 1 (/ k t)) (/ (sin k) (/ l t)))
42.0ms	(* (/ (/ 2 k) (/ 1 l)) (* 1 (/ 1 t)))
10.0ms	(/ 1 (/ k t))

simplify15.8s

Counts: 2523 → 2523

prune45.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (/ (/ 2 k) (/ 1 l)) (* 1 (/ 1 t)))
0.4b	(/ (* (* (/ (/ 1 k) (/ (sin k) l)) 1) (* (/ (/ 2 k) (/ 1 l)) (* 1 (/ 1 t)))) (tan k))
0.3b	(/ (/ 2 k) (/ 1 l))
0.3b	(/ (/ 1 k) (/ (sin k) l))

rewrite513.0ms

Algorithm

rewrite-expression-head

Rules

13059×	`add-exp-log`
7815×	`div-exp`
6094×	`prod-exp`
2510×	`1-exp`
1248×	`times-frac`
1052×	`rec-exp`
919×	`add-cbrt-cube`
581×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
444×	`cbrt-undiv`
351×	`cbrt-unprod`
174×	`associate-l`
86×	`div-inv`
29×	`associate-/r*`
27×	`associate-/l*`
18×	`associate-*r/`
15×	`associate-/l/`
12×	`frac-times` `un-div-inv`
11×	`associate-*l/`
9×	`pow1`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down`
1×	`associate-r` `tan-quot` `*-commutative`

Counts

4 → 2424

Calls

4 calls:

Slowest

193.0ms	(/ (* (* (/ (/ 1 k) (/ (sin k) l)) 1) (* (/ (/ 2 k) (/ 1 l)) (* 1 (/ 1 t)))) (tan k))
67.0ms	(* (/ (/ 2 k) (/ 1 l)) (* 1 (/ 1 t)))
20.0ms	(/ (/ 2 k) (/ 1 l))
9.0ms	(/ (/ 1 k) (/ (sin k) l))

series446.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

257.0ms	(/ (* (* (/ (/ 1 k) (/ (sin k) l)) 1) (* (/ (/ 2 k) (/ 1 l)) (* 1 (/ 1 t)))) (tan k))
100.0ms	(/ (/ 1 k) (/ (sin k) l))
59.0ms	(* (/ (/ 2 k) (/ 1 l)) (* 1 (/ 1 t)))
29.0ms	(/ (/ 2 k) (/ 1 l))

Details

sample1.1s

simplify2.0s

prune23.0ms

localize58.0ms

rewrite142.0ms

series686.0ms

simplify1.3s

prune7.1s

localize45.0ms

rewrite317.0ms

series288.0ms

simplify31.0s

prune1.2m

localize42.0ms

rewrite248.0ms

series196.0ms

simplify15.8s

prune45.3s

localize64.0ms

rewrite513.0ms

series446.0ms

simplify7.0m