Details

sample55.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
21.0ms	249×	body	80	nan

simplify226.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

226.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
15×	`pow1`
12×	`times-frac`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-/r*` `distribute-rgt-out--` `insert-posit16` `add-log-exp`
3×	`sqrt-prod` `associate-/l*`
2×	`sqrt-div` `associate-l` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `div-exp` `flip-+` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

Slowest

25.0ms	(* (* v -6) v)
14.0ms	(* (* v v) PI)
9.0ms	(/ 4/3 (- PI (* (* v v) PI)))
7.0ms	(sqrt (+ 2 (* (* v -6) v)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(/ 4/3 (- PI (* (* v v) PI)))
80.0ms	(sqrt (+ 2 (* (* v -6) v)))
49.0ms	(* (* v v) PI)
48.0ms	(* (* v -6) v)

simplify6.3s

Counts

71 → 101

Calls

71 calls:

Slowest

615.0ms	(* (* (* (* v -6) (* v -6)) (* v -6)) (* (* v v) v))
421.0ms	(sqrt (- (* 2 2) (* (* (* v -6) v) (* (* v -6) v))))
346.0ms	(- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))))
343.0ms	(/ (* (* 4/3 4/3) 4/3) (* (* (- PI (* (* v v) PI)) (- PI (* (* v v) PI))) (- PI (* (* v v) PI))))
337.0ms	(+ (* PI PI) (+ (* (* (* v v) PI) (* (* v v) PI)) (* PI (* (* v v) PI))))

prune984.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

2.4b	(log (exp (* (* v -6) v)))
1.0b	(/ 4/3 (- PI (* (* v v) PI)))
0.2b	(* (* v v) PI)
0.2b	(* (* v -6) v)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
15×	`pow1`
12×	`times-frac`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`associate-/r*` `distribute-rgt-out--` `insert-posit16`
3×	`log-prod` `log-pow` `associate-/l*`
2×	`associate-l` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `exp-prod` `clear-num` `frac-2neg` `flip3--` `exp-to-pow` `div-exp` `rem-log-exp` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

Slowest

28.0ms	(* (* v v) PI)
27.0ms	(* (* v -6) v)
12.0ms	(/ 4/3 (- PI (* (* v v) PI)))
7.0ms	(log (exp (* (* v -6) v)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(/ 4/3 (- PI (* (* v v) PI)))
49.0ms	(* (* v -6) v)
38.0ms	(* (* v v) PI)
31.0ms	(log (exp (* (* v -6) v)))

simplify5.1s

Counts

68 → 100

Calls

68 calls:

Slowest

595.0ms	(* (* (* (* v -6) (* v -6)) (* v -6)) (* (* v v) v))
379.0ms	(/ (* (* 4/3 4/3) 4/3) (* (* (- PI (* (* v v) PI)) (- PI (* (* v v) PI))) (- PI (* (* v v) PI))))
314.0ms	(+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI))))
299.0ms	(- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI))))))
294.0ms	(+ (* PI PI) (+ (* (* (* v v) PI) (* (* v v) PI)) (* PI (* (* v v) PI))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch3.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.5s	7960×	body	80	nan
1.3s	8000×	body	80	valid