Details

sample89.0ms

Algorithm

intervals

Results

40.0ms	256×	body	80	valid
32.0ms	274×	body	80	nan

simplify1.8s

Counts: 1 → 1

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
60×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
10×	`pow1`
7×	`sqrt-prod`
6×	`associate-/r` `associate-l*` `div-inv`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/r/` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-r` `*-commutative` `flip--` `associate-/l/`

Counts

4 → 147

Calls

4 calls:

Slowest

32.0ms	(* (sqrt (fma -6 (* v v) 2)) (* v v))
23.0ms	(/ (/ 4/3 PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v))))
9.0ms	(/ 4/3 PI)
1.0ms	(sqrt (fma -6 (* v v) 2))

series841.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

574.0ms	(/ (/ 4/3 PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v))))
158.0ms	(* (sqrt (fma -6 (* v v) 2)) (* v v))
109.0ms	(sqrt (fma -6 (* v v) 2))
0.0ms	(/ 4/3 PI)

simplify1.3s

Counts: 157 → 157

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
16×	`associate-*r/`
15×	`prod-exp` `cbrt-unprod`
14×	`sqrt-div`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow-prod-down`
8×	`frac-times` `associate-/r/`
7×	`associate-r`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-l` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`*-commutative`
1×	`rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `div-inv` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

Slowest

101.0ms	(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
88.0ms	(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
17.0ms	(* 6 (* v v))
5.0ms	(sqrt (- 2 (* 6 (* v v))))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

867.0ms	(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
316.0ms	(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
102.0ms	(sqrt (- 2 (* 6 (* v v))))
36.0ms	(* 6 (* v v))

simplify1.7s

Counts: 123 → 123

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	8082×	body	80	nan
1.1s	8000×	body	80	valid