Details

sample52.0ms

Algorithm

intervals

Results

22.0ms	262×	body	80	nan
14.0ms	256×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	32	20
2	90	20
3	256	20
4	581	20
5	1041	20
6	1220	20
done	1220	20

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
18×	`associate-*r/` `prod-exp` `cbrt-unprod`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `sqrt-div` `pow-prod-down`
11×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-/r/`
5×	`associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
3×	`times-frac` `sqrt-prod` `-commutative` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

57.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
116.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
31.0ms	(* 6.0 (* v v))
120.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
413.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
50.0ms	(* 6.0 (* v v))
666.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.4s

Counts

121 → 121

Iterations

Useful iterations: 2 (924.0ms)

Iter	Nodes	Cost
0	307	2810
1	864	2584
2	3618	2224
done	5000	2224

prune446.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b	(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b	(* (* 3.0 PI) (- 1.0 (* v v)))
0.1b	(* 6.0 (* v v))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
44×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
33×	`sqrt-prod`
28×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*r/` `associate-/r/`
15×	`pow1`
10×	`flip3--` `flip--`
9×	`prod-exp` `cbrt-unprod` `associate-/l*`
8×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down` `associate-/r*`
5×	`associate-r`
4×	`sqrt-div` `associate-l` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `*-commutative`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/` `difference-of-squares` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

57.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
53.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
35.0ms	(* 6.0 (* v v))

series988.0ms

Counts

4 → 12

Calls

4 calls:

645.0ms	(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
126.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
164.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
52.0ms	(* 6.0 (* v v))

simplify2.0s

Counts

161 → 161

Iterations

Useful iterations: 2 (890.0ms)

Iter	Nodes	Cost
0	356	4194
1	918	3872
2	3362	3593
done	5000	3593

prune580.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 6.0 (* v v))
0.1b	(* 6.0 (* v v))
0.1b	(* 6.0 (* v v))
0.1b	(* 6.0 (* v v))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

19.0ms	(* 6.0 (* v v))
23.0ms	(* 6.0 (* v v))
28.0ms	(* 6.0 (* v v))
32.0ms	(* 6.0 (* v v))

series152.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 6.0 (* v v))
29.0ms	(* 6.0 (* v v))
47.0ms	(* 6.0 (* v v))
42.0ms	(* 6.0 (* v v))

simplify3.8s

Counts

88 → 88

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	34	648
1	78	636
2	209	516
3	468	516
4	677	516
5	1860	516
done	5001	516

prune408.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	49
1	33	49
done	33	49

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
852.0ms	7995×	body	80	nan