Details

sample86.0ms

Algorithm

intervals

Results

35.0ms	256×	body	80	valid
32.0ms	250×	body	80	nan

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	2811
5	1684
4	612
3	200
2	87
1	32
0	16

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
134×	`*-un-lft-identity`
111×	`add-sqr-sqrt`
109×	`add-cube-cbrt`
60×	`sqrt-prod`
25×	`distribute-rgt-out--`
21×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
10×	`pow1` `associate-/r*`
9×	`div-inv`
8×	`flip3--` `flip--`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

4 → 224

Calls

4 calls:

1.0ms	(sqrt (fma -6 (* v v) 2))
13.0ms	(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
25.0ms	(* (* v v) PI)
7.0ms	(/ 4/3 (- PI (* (* v v) PI)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (fma -6 (* v v) 2))
468.0ms	(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
51.0ms	(* (* v v) PI)
126.0ms	(/ 4/3 (- PI (* (* v v) PI)))

simplify1.9s

Counts

236 → 236

Iterations

Iter	Nodes
2	2885
1	1032
0	424

prune2.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-cbrt-cube` `add-exp-log`
23×	`pow1`
18×	`prod-exp` `associate-*r/` `cbrt-unprod`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `flip3--` `flip--`
12×	`sqrt-div` `associate-r` `pow-prod-down` `add-cube-cbrt`
8×	`frac-times` `associate-/r/`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `sqrt-prod` `associate-/l`
2×	`sub-neg` `difference-of-squares`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

41.0ms	(* (* 3 PI) (- 1 (* v v)))
104.0ms	(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
13.0ms	(* 6 (* v v))
53.0ms	(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (* 3 PI) (- 1 (* v v)))
343.0ms	(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
48.0ms	(* 6 (* v v))
525.0ms	(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

simplify2.9s

Counts

140 → 140

Iterations

Iter	Nodes
2	3335
1	999
0	329

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
1.2s	7995×	body	80	nan