Details

sample76.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
24.0ms	266×	body	80	nan

simplify1.0s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize29.0ms

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))))))

rewrite327.0ms

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:

52.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
119.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
21.0ms	(* 6.0 (* v v))
126.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
385.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
52.0ms	(* 6.0 (* v v))
618.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.8s

Counts: 121 → 121

prune451.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

85×	`sqrt-prod`
82×	`times-frac`
78×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
48×	`add-exp-log` `add-cbrt-cube`
47×	`associate-r`
20×	`prod-exp` `cbrt-unprod`
16×	`pow1` `associate-l`
11×	`cbrt-undiv` `div-exp`
7×	`pow-prod-down`
6×	`associate-/r` `associate-/r/` `associate-/l` `unswap-sqr`
5×	`associate-*r/`
4×	`flip3--` `sqrt-div` `flip--` `add-log-exp`
3×	`*-commutative` `div-inv`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`frac-times` `sqrt-undiv` `frac-2neg` `associate-*l/` `clear-num` `difference-of-squares`

Counts

4 → 194

Calls

4 calls:

32.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
17.0ms	(* 6.0 (* v v))
25.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
180.0ms	(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
46.0ms	(* 6.0 (* v v))
317.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
866.0ms	(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify798.0ms

Counts: 206 → 206

prune844.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.6s

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	8115×	body	80	nan
791.0ms	8000×	body	80	valid