Details

sample119.0ms

Algorithm

intervals

Results

53.0ms	257×	body	80	nan
42.0ms	256×	body	80	valid

simplify1.8s

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 158

Calls

4 calls:

Slowest

23.0ms	(* (sqrt (fma -6 (* v v) 2)) (* v v))
14.0ms	(/ (/ 4/3 PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v))))
8.0ms	(- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))
4.0ms	(/ 4/3 PI)

series974.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

567.0ms	(/ (/ 4/3 PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v))))
249.0ms	(- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))
157.0ms	(* (sqrt (fma -6 (* v v) 2)) (* v v))
0.0ms	(/ 4/3 PI)

simplify1.5s

Counts: 168 → 168

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
102×	`add-sqr-sqrt`
100×	`*-un-lft-identity` `add-cube-cbrt`
48×	`cbrt-prod`
28×	`associate-/l*`
16×	`add-exp-log`
14×	`add-cbrt-cube`
10×	`sqrt-prod`
9×	`pow1`
6×	`associate-/r` `fma-neg` `associate-l*` `prod-diff` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `flip3--` `associate-/r/` `flip--` `unswap-sqr`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative` `associate-/l/`

Counts

4 → 206

Calls

4 calls:

Slowest

19.0ms	(/ (/ (cbrt 4/3) PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v))))
18.0ms	(* (sqrt (fma -6 (* v v) 2)) (* v v))
16.0ms	(- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))
5.0ms	(/ (cbrt 4/3) PI)

series1.1s

Counts

4 → 10

Calls

4 calls:

Slowest

669.0ms	(/ (/ (cbrt 4/3) PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v))))
256.0ms	(- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))
159.0ms	(* (sqrt (fma -6 (* v v) 2)) (* v v))
0.0ms	(/ (cbrt 4/3) PI)

simplify2.0s

Counts: 216 → 216

prune2.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

268×	`times-frac`
177×	`add-sqr-sqrt`
149×	`*-un-lft-identity` `add-cube-cbrt`
82×	`sqrt-prod`
73×	`associate-r`
23×	`add-cbrt-cube` `add-exp-log`
22×	`associate-/l*`
12×	`associate-l`
11×	`pow1`
10×	`unswap-sqr`
9×	`div-inv`
6×	`cbrt-undiv` `fma-neg` `div-exp` `prod-diff` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `flip3--` `flip--`
2×	`*-commutative`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `associate-*r/` `associate-/l/`

Counts

4 → 269

Calls

4 calls:

Slowest

37.0ms	(* (sqrt 4/3) (/ (/ (sqrt 4/3) PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))))
28.0ms	(/ (/ (sqrt 4/3) PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v))))
16.0ms	(- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))
16.0ms	(* (sqrt (fma -6 (* v v) 2)) (* v v))

series1.7s

Counts

4 → 12

Calls

4 calls:

Slowest

658.0ms	(* (sqrt 4/3) (/ (/ (sqrt 4/3) PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))))
628.0ms	(/ (/ (sqrt 4/3) PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v))))
272.0ms	(- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))
153.0ms	(* (sqrt (fma -6 (* v v) 2)) (* v v))

simplify1.1s

Counts: 281 → 281

prune3.5s

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

bsearch6.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	7927×	body	80	nan
1.2s	8000×	body	80	valid