Details

sample410.0ms

Algorithm

intervals

Results

147.0ms	55×	body	1280	valid
120.0ms	75×	body	640	valid
60.0ms	28×	body	320	valid
53.0ms	170×	body	80	valid
6.0ms	9×	body	160	valid

simplify3.2s

Counts: 1 → 1

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.0b

localize68.0ms

Local error

Found 4 expressions with local error:

12.0b	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t))))
3.6b	(/ (* (/ l t) (/ l t)) (* (sin k) t))
3.2b	(/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t)))
0.2b	(* (/ k t) (/ k t))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

837×	`times-frac`
345×	`add-sqr-sqrt`
333×	`*-un-lft-identity` `add-cube-cbrt`
254×	`add-cbrt-cube` `add-exp-log`
145×	`cbrt-undiv` `div-exp`
96×	`div-inv`
60×	`associate-/r/`
56×	`prod-exp` `cbrt-unprod`
26×	`associate-/r*`
21×	`flip3-+` `flip-+`
19×	`associate-/l*`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
5×	`associate-/l/`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow2` `pow-plus` `pow-prod-down` `tan-quot` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 559

Calls

4 calls:

Slowest

92.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t))))
40.0ms	(/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t)))
33.0ms	(/ (* (/ l t) (/ l t)) (* (sin k) t))
25.0ms	(* (/ k t) (/ k t))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

851.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t))))
314.0ms	(/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t)))
124.0ms	(/ (* (/ l t) (/ l t)) (* (sin k) t))
37.0ms	(* (/ k t) (/ k t))

simplify2.0s

Counts: 571 → 571

prune8.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.0b

localize65.0ms

Local error

Found 4 expressions with local error:

8.5b	(/ (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ 1 (/ (/ l t) (sin k)))) (/ (tan k) (/ (/ l t) t)))
5.3b	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ 1 (/ (/ l t) (sin k))))
4.6b	(/ (tan k) (/ (/ l t) t))
2.5b	(/ (/ l t) (sin k))

rewrite52.2s

Algorithm

rewrite-expression-head

Rules

2034502×	`times-frac`
732433×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
71125×	`div-inv`
40645×	`associate-/r/`
18225×	`flip3-+` `flip-+`
2046×	`associate-/l*`
602×	`add-exp-log`
519×	`div-exp`
314×	`associate-/r*`
272×	`add-cbrt-cube`
219×	`cbrt-undiv`
30×	`rec-exp` `1-exp`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`tan-quot`

Counts

4 → 274757

Calls

4 calls:

Slowest

2.6s	(/ (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ 1 (/ (/ l t) (sin k)))) (/ (tan k) (/ (/ l t) t)))
68.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ 1 (/ (/ l t) (sin k))))
10.0ms	(/ (tan k) (/ (/ l t) t))
8.0ms	(/ (/ l t) (sin k))

series1.7s

Counts

4 → 12

Calls

4 calls:

Slowest

1.0s	(/ (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ 1 (/ (/ l t) (sin k)))) (/ (tan k) (/ (/ l t) t)))
352.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ 1 (/ (/ l t) (sin k))))
261.0ms	(/ (tan k) (/ (/ l t) t))
118.0ms	(/ (/ l t) (sin k))