Details

sample95.0ms

Algorithm

intervals

Results

39.0ms	256×	body	80	valid
38.0ms	257×	body	80	nan

simplify4.6s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 4/3 (- PI (* (* v v) PI)))
0.2b	(* 6 (* v v))
0.1b	(* (* v v) PI)
0.0b	(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (- 2 (* 6 (* v v)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
134×	`*-un-lft-identity`
111×	`add-sqr-sqrt`
109×	`add-cube-cbrt`
57×	`sqrt-prod`
25×	`distribute-rgt-out--`
21×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
18×	`associate-/r/`
14×	`pow1`
10×	`associate-/r*`
9×	`flip3--` `div-inv` `flip--`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `sqrt-div` `*-commutative` `unswap-sqr`
1×	`associate-/l/`

Counts

4 → 224

Calls

4 calls:

Slowest

22.0ms	(* 6 (* v v))
18.0ms	(* (* v v) PI)
14.0ms	(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (- 2 (* 6 (* v v)))))
13.0ms	(/ 4/3 (- PI (* (* v v) PI)))

series603.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

411.0ms	(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (- 2 (* 6 (* v v)))))
119.0ms	(/ 4/3 (- PI (* (* v v) PI)))
38.0ms	(* (* v v) PI)
35.0ms	(* 6 (* v v))

simplify1.6s

Counts: 236 → 236

prune2.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
1.0b	(/ (/ 4/3 (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
0.2b	(* 6 (* v v))
0.0b	(/ 4/3 (- 1 (* v v)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

499×	`times-frac`
323×	`add-sqr-sqrt`
274×	`*-un-lft-identity`
226×	`add-cube-cbrt`
135×	`sqrt-prod`
133×	`associate-r`
86×	`difference-of-squares`
55×	`add-exp-log`
37×	`add-cbrt-cube`
32×	`associate-/r/`
24×	`associate-/l*`
22×	`div-exp`
17×	`div-inv`
16×	`flip3--` `associate-l` `flip--` `unswap-sqr`
15×	`prod-exp`
13×	`cbrt-undiv`
11×	`pow1` `associate-/r*`
9×	`cbrt-unprod`
4×	`sqrt-div` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `associate-l/` `associate-r/` `associate-/l/`

Counts

4 → 420

Calls

4 calls:

Slowest

59.0ms	(* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
14.0ms	(/ (/ 4/3 (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
12.0ms	(* 6 (* v v))
6.0ms	(/ 4/3 (- 1 (* v v)))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

567.0ms	(* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
378.0ms	(/ (/ 4/3 (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
51.0ms	(* 6 (* v v))
49.0ms	(/ 4/3 (- 1 (* v v)))

simplify1.4s

Counts: 432 → 432

prune4.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	7927×	body	80	nan
1.3s	8000×	body	80	valid