Details

sample44.0ms

Algorithm

intervals

Results

15.0ms	284×	body	80	nan
13.0ms	256×	body	80	valid

simplify48.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

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)))))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite207.0ms

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:

26.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
76.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
20.0ms	(* 6.0 (* v v))
81.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series905.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
295.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
34.0ms	(* 6.0 (* v v))
460.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify102.0ms

Counts: 121 → 121

prune300.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-exp-log`
52×	`add-cbrt-cube`
50×	`prod-exp`
46×	`add-sqr-sqrt`
44×	`times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
29×	`div-exp`
25×	`associate-r`
22×	`sqrt-prod`
20×	`cbrt-unprod`
17×	`pow1`
14×	`cbrt-undiv`
12×	`associate-l`
9×	`rec-exp` `1-exp`
8×	`associate-/r/`
7×	`pow-prod-down` `associate-/r*`
6×	`associate-/l*`
5×	`associate-*r/`
4×	`flip3--` `sqrt-div` `flip--` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-flip`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `associate-*l/` `inv-pow`

Counts

4 → 171

Calls

4 calls:

36.0ms	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
16.0ms	(* 6.0 (* v v))
12.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
150.0ms	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

series789.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
28.0ms	(* 6.0 (* v v))
179.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
472.0ms	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify43.0ms

Counts: 183 → 183

prune411.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (cbrt 1) (- 1.0 (* v v))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b	(* (/ (* (cbrt 1) (cbrt 1)) (* 3.0 PI)) (* (/ (cbrt 1) (- 1.0 (* v v))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

153×	`add-exp-log`
121×	`add-cbrt-cube`
94×	`add-sqr-sqrt`
78×	`times-frac`
72×	`prod-exp` `cbrt-unprod`
52×	`*-un-lft-identity`
49×	`add-cube-cbrt`
45×	`cbrt-undiv` `div-exp`
38×	`associate-l`
26×	`associate-r`
25×	`sqrt-prod`
18×	`cbrt-prod`
16×	`pow1`
13×	`unswap-sqr`
7×	`pow-prod-down`
6×	`frac-times` `associate-r/` `associate-/r` `associate-/r/` `difference-of-squares`
4×	`sqrt-div` `associate-*l/` `div-inv` `add-log-exp`
3×	`flip3--` `-commutative` `flip--` `associate-/l`
1×	`frac-2neg` `clear-num`

Counts

4 → 219

Calls

4 calls:

57.0ms	(* (/ (cbrt 1) (- 1.0 (* v v))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
17.0ms	(* 6.0 (* v v))
11.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
98.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (* 3.0 PI)) (* (/ (cbrt 1) (- 1.0 (* v v))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

335.0ms	(* (/ (cbrt 1) (- 1.0 (* v v))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
37.0ms	(* 6.0 (* v v))
189.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))
491.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (* 3.0 PI)) (* (/ (cbrt 1) (- 1.0 (* v v))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify67.0ms

Counts: 231 → 231

prune643.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

875.0ms	8253×	body	80	nan
551.0ms	8000×	body	80	valid