Details

sample92.0ms

Algorithm

intervals

Results

39.0ms	273×	body	80	nan
33.0ms	256×	body	80	valid

simplify194.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

193.0ms

(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 4/3 (- PI (* v (* PI v))))
0.3b	(* PI v)
0.1b	(* v (* PI v))
0.0b	(/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (fma (* v -6) v 2)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
98×	`add-sqr-sqrt`
96×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
18×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
16×	`associate-/r/`
11×	`pow1`
9×	`associate-/r*` `div-inv`
8×	`flip3--` `flip--`
6×	`associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`unswap-sqr` `associate-/l/`

Counts

4 → 203

Calls

4 calls:

Slowest

13.0ms	(* v (* PI v))
13.0ms	(/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (fma (* v -6) v 2)))
7.0ms	(/ 4/3 (- PI (* v (* PI v))))
5.0ms	(* PI v)

series683.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

526.0ms	(/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (fma (* v -6) v 2)))
98.0ms	(/ 4/3 (- PI (* v (* PI v))))
36.0ms	(* v (* PI v))
23.0ms	(* PI v)

simplify35.4s

Counts

259 → 215

Calls

259 calls:

Slowest

638.0ms	(* (* (* PI PI) PI) (* (* v v) v))
571.0ms	(/ 4/3 (- (pow PI 3) (pow (* v (* PI v)) 3)))
542.0ms	(/ (/ 4/3 (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2)))))
534.0ms	(/ (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v))))) (sqrt (fma (* v -6) v 2)))
504.0ms	(/ (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v))))) (sqrt (fma (* v -6) v 2)))

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ (sqrt (fma (* v -6) v 2)) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v)))))))
1.0b	(/ (sqrt (fma (* v -6) v 2)) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))))
1.0b	(sqrt (- PI (* v (* PI v))))
1.0b	(sqrt (- PI (* v (* PI v))))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

40710×	`times-frac`
24381×	`sqrt-prod`
16824×	`add-sqr-sqrt`
16822×	`*-un-lft-identity` `add-cube-cbrt`
1091×	`associate-/r/`
1050×	`sqrt-div`
568×	`div-inv`
525×	`flip3--` `flip--`
299×	`associate-/r*`
48×	`associate-/l*`
30×	`add-cbrt-cube` `add-exp-log`
18×	`cbrt-undiv` `div-exp`
6×	`pow1` `sqrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 11476

Calls

4 calls:

Slowest

38.0ms	(/ (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ (sqrt (fma (* v -6) v 2)) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v)))))))
31.0ms	(sqrt (- PI (* v (* PI v))))
11.0ms	(/ (sqrt (fma (* v -6) v 2)) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))))
10.0ms	(sqrt (- PI (* v (* PI v))))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

535.0ms	(/ (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))) (/ (sqrt (fma (* v -6) v 2)) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v)))))))
441.0ms	(/ (sqrt (fma (* v -6) v 2)) (/ (sqrt 4/3) (sqrt (- PI (* v (* PI v))))))
102.0ms	(sqrt (- PI (* v (* PI v))))
92.0ms	(sqrt (- PI (* v (* PI v))))