Details

sample1.1s

Algorithm

intervals

Results

320.0ms	137×	body	1280	valid
296.0ms	76×	body	2560	valid
231.0ms	29×	body	5120	valid
131.0ms	70×	body	640	valid
36.0ms	37×	body	320	valid
19.0ms	62×	body	80	valid
15.0ms	20×	body	160	valid

simplify2.1s

Counts: 1 → 1

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.4b

localize56.0ms

Local error

Found 4 expressions with local error:

26.6b	(* (/ t (/ l t)) (* (/ k t) (/ k t)))
9.2b	(/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))
1.8b	(/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k))
0.9b	(/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

899×	`times-frac`
740×	`add-cbrt-cube` `add-exp-log`
433×	`cbrt-undiv` `div-exp`
342×	`add-sqr-sqrt`
336×	`*-un-lft-identity` `add-cube-cbrt`
189×	`prod-exp` `cbrt-unprod`
63×	`associate-/l*`
45×	`div-inv`
44×	`associate-l`
34×	`associate-/r*`
23×	`associate-/r/`
10×	`frac-times` `associate-*r/`
9×	`pow1`
8×	`associate-/l/`
6×	`associate-*l/`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `unswap-sqr`
1×	`associate-r` `*-commutative`

Counts

4 → 678

Calls

4 calls:

Slowest

46.0ms	(/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))
35.0ms	(/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t)))
33.0ms	(/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k))
29.0ms	(* (/ t (/ l t)) (* (/ k t) (/ k t)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k))
70.0ms	(/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))
64.0ms	(/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t)))
61.0ms	(* (/ t (/ l t)) (* (/ k t) (/ k t)))

simplify1.6s

Counts: 690 → 690

prune10.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.1b

localize33.0ms

Local error

Found 4 expressions with local error:

9.2b	(/ (/ (* k k) l) (/ l t))
6.1b	(/ (* k k) l)
1.8b	(/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k))
0.9b	(/ 2 (/ (/ (* k k) l) (/ l t)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

5615×	`times-frac`
2085×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
366×	`div-inv`
304×	`associate-/l*`
115×	`associate-/r*`
97×	`add-cbrt-cube` `add-exp-log`
63×	`cbrt-undiv` `div-exp`
22×	`associate-/r/`
7×	`prod-exp` `cbrt-unprod`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
2×	`associate-/l/`

Counts

4 → 1774

Calls

4 calls:

Slowest

40.0ms	(/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k))
26.0ms	(/ (* k k) l)
23.0ms	(/ (/ (* k k) l) (/ l t))
19.0ms	(/ 2 (/ (/ (* k k) l) (/ l t)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

112.0ms	(/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k))
62.0ms	(/ (/ (* k k) l) (/ l t))
60.0ms	(/ 2 (/ (/ (* k k) l) (/ l t)))
32.0ms	(/ (* k k) l)

simplify8.9s

Counts: 1786 → 1786

prune26.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.4b

localize78.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ (/ k l) (/ 1 t))
1.6b	(/ (sin k) (/ 2 (/ (/ k l) (/ 1 t))))
0.8b	(/ 1 (/ (/ k 1) l))
0.5b	(/ (/ (/ 1 (/ (/ k 1) l)) (/ (sin k) (/ 2 (/ (/ k l) (/ 1 t))))) (tan k))

rewrite3.3m

Algorithm

rewrite-expression-head

Rules

7202354×	`times-frac`
2608798×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
215244×	`div-inv`
212548×	`associate-/l*`
13336×	`associate-/r/`
1133×	`add-exp-log`
1069×	`div-exp`
586×	`associate-/r*`
254×	`add-cbrt-cube`
208×	`cbrt-undiv`
114×	`1-exp`
78×	`rec-exp`
5×	`pow1`
4×	`clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
2×	`associate-/l/`
1×	`tan-quot` `pow-flip` `inv-pow`

Counts

4 → 852868

Calls

4 calls:

Slowest

16.4s	(/ (/ (/ 1 (/ (/ k 1) l)) (/ (sin k) (/ 2 (/ (/ k l) (/ 1 t))))) (tan k))
39.0ms	(/ (sin k) (/ 2 (/ (/ k l) (/ 1 t))))
19.0ms	(/ (/ k l) (/ 1 t))
8.0ms	(/ 1 (/ (/ k 1) l))

series317.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(/ (/ (/ 1 (/ (/ k 1) l)) (/ (sin k) (/ 2 (/ (/ k l) (/ 1 t))))) (tan k))
113.0ms	(/ (sin k) (/ 2 (/ (/ k l) (/ 1 t))))
22.0ms	(/ (/ k l) (/ 1 t))
9.0ms	(/ 1 (/ (/ k 1) l))