Details

sample379.0ms

Algorithm

intervals

Results

150.0ms	66×	body	1280	valid
85.0ms	182×	body	80	valid
77.0ms	45×	body	640	valid
32.0ms	28×	body	320	valid
13.0ms	17×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
4	6286
3	1016
2	179
1	52
0	19

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.0b

localize34.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (+ 2 (* (/ k t) (/ k t))) (tan k))
1.5b	(/ t (* (/ l t) (/ l t)))
3.3b	(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
17.8b	(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (* (+ 2 (* (/ k t) (/ k t))) (tan k)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

927×	`times-frac`
309×	`add-sqr-sqrt`
307×	`*-un-lft-identity` `add-cube-cbrt`
233×	`add-cbrt-cube` `add-exp-log`
151×	`associate-/l*`
143×	`cbrt-undiv` `div-exp`
131×	`associate-/r/`
76×	`div-inv`
45×	`frac-times` `associate-*l/`
43×	`associate-*r/`
42×	`prod-exp` `cbrt-unprod`
12×	`associate-/r*`
6×	`pow1` `tan-quot`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l`
2×	`associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 581

Calls

4 calls:

15.0ms	(* (+ 2 (* (/ k t) (/ k t))) (tan k))
13.0ms	(/ t (* (/ l t) (/ l t)))
30.0ms	(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
63.0ms	(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (* (+ 2 (* (/ k t) (/ k t))) (tan k)))

series1.6s

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (+ 2 (* (/ k t) (/ k t))) (tan k))
62.0ms	(/ t (* (/ l t) (/ l t)))
167.0ms	(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
1.2s	(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (* (+ 2 (* (/ k t) (/ k t))) (tan k)))

simplify1.4s

Counts

593 → 593

Iterations

Iter	Nodes
1	2663
0	899

prune8.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.9b

localize107.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ (* (cbrt (/ 2 (sin k))) (cbrt (/ 2 (sin k)))) (/ (* (cbrt t) (cbrt t)) (/ l t)))
3.7b	(/ (/ (cbrt (/ 2 (sin k))) (/ (cbrt t) (/ l t))) (tan k))
6.9b	(* (/ (/ (* (cbrt (/ 2 (sin k))) (cbrt (/ 2 (sin k)))) (/ (* (cbrt t) (cbrt t)) (/ l t))) (+ 2 (* (/ k t) (/ k t)))) (/ (/ (cbrt (/ 2 (sin k))) (/ (cbrt t) (/ l t))) (tan k)))
11.2b	(/ (/ (* (cbrt (/ 2 (sin k))) (cbrt (/ 2 (sin k)))) (/ (* (cbrt t) (cbrt t)) (/ l t))) (+ 2 (* (/ k t) (/ k t))))

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

38227×	`times-frac`
15707×	`add-sqr-sqrt`
15182×	`*-un-lft-identity` `add-cube-cbrt`
12001×	`cbrt-prod`
4004×	`associate-r`
1402×	`div-inv`
1357×	`associate-/l*`
562×	`add-exp-log`
371×	`add-cbrt-cube`
350×	`cbrt-undiv` `div-exp`
142×	`associate-/r/`
123×	`prod-exp` `cbrt-unprod`
85×	`unswap-sqr`
75×	`associate-l`
24×	`associate-/r*`
6×	`pow1`
5×	`associate-/l/`
4×	`cbrt-div` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `flip3-+` `associate-l/` `tan-quot` `associate-r/` `flip-+`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 9852

Calls

4 calls:

32.0ms	(/ (* (cbrt (/ 2 (sin k))) (cbrt (/ 2 (sin k)))) (/ (* (cbrt t) (cbrt t)) (/ l t)))
65.0ms	(/ (/ (cbrt (/ 2 (sin k))) (/ (cbrt t) (/ l t))) (tan k))
617.0ms	(* (/ (/ (* (cbrt (/ 2 (sin k))) (cbrt (/ 2 (sin k)))) (/ (* (cbrt t) (cbrt t)) (/ l t))) (+ 2 (* (/ k t) (/ k t)))) (/ (/ (cbrt (/ 2 (sin k))) (/ (cbrt t) (/ l t))) (tan k)))
29.0ms	(/ (/ (* (cbrt (/ 2 (sin k))) (cbrt (/ 2 (sin k)))) (/ (* (cbrt t) (cbrt t)) (/ l t))) (+ 2 (* (/ k t) (/ k t))))

series2.8s

Counts

4 → 12

Calls

4 calls:

450.0ms	(/ (* (cbrt (/ 2 (sin k))) (cbrt (/ 2 (sin k)))) (/ (* (cbrt t) (cbrt t)) (/ l t)))
491.0ms	(/ (/ (cbrt (/ 2 (sin k))) (/ (cbrt t) (/ l t))) (tan k))
1.1s	(* (/ (/ (* (cbrt (/ 2 (sin k))) (cbrt (/ 2 (sin k)))) (/ (* (cbrt t) (cbrt t)) (/ l t))) (+ 2 (* (/ k t) (/ k t)))) (/ (/ (cbrt (/ 2 (sin k))) (/ (cbrt t) (/ l t))) (tan k)))
799.0ms	(/ (/ (* (cbrt (/ 2 (sin k))) (cbrt (/ 2 (sin k)))) (/ (* (cbrt t) (cbrt t)) (/ l t))) (+ 2 (* (/ k t) (/ k t))))

simplify6.9m

Counts

9864 → 9864

Iterations

Iter	Nodes
1	47718
0	13665

prune2.8m

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.6b

localize70.0ms

Local error

Found 4 expressions with local error:

6.9b	(* (* (/ (cbrt (/ 2 (sin k))) (/ (/ (cbrt t) (cbrt (/ l t))) (cbrt (/ l t)))) (/ (/ (cbrt (/ 2 (sin k))) (/ (cbrt t) (cbrt (/ l t)))) (+ 2 (* (/ k t) (/ k t))))) (/ (/ (cbrt (/ 2 (sin k))) (/ (cbrt t) (/ l t))) (tan k)))
14.7b	(cbrt (/ l t))
14.7b	(cbrt (/ l t))
14.7b	(cbrt (/ l t))

rewrite876.0ms

Algorithm

rewrite-expression-head

Calls

4 calls:

809.0ms	(* (* (/ (cbrt (/ 2 (sin k))) (/ (/ (cbrt t) (cbrt (/ l t))) (cbrt (/ l t)))) (/ (/ (cbrt (/ 2 (sin k))) (/ (cbrt t) (cbrt (/ l t)))) (+ 2 (* (/ k t) (/ k t))))) (/ (/ (cbrt (/ 2 (sin k))) (/ (cbrt t) (/ l t))) (tan k)))
1.0ms	(cbrt (/ l t))
1.0ms	(cbrt (/ l t))
1.0ms	(cbrt (/ l t))