Details

sample113.0ms

Algorithm

intervals

Results

48.0ms	256×	body	80	valid
42.0ms	276×	body	80	nan

simplify2.0s

Counts: 1 → 1

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 6 (* v v))
0.1b	(* (* v v) 3)
0.0b	(sqrt (- 2 (* 6 (* v v))))
0.0b	(/ (/ 4 PI) (- 3 (* (* v v) 3)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
70×	`*-un-lft-identity`
59×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
15×	`pow1`
14×	`distribute-rgt-out--`
13×	`associate-/l*`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod`
2×	`flip3--` `sqrt-div` `associate-/r/` `*-commutative` `flip--` `unswap-sqr`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-/l/`

Counts

4 → 151

Calls

4 calls:

Slowest

29.0ms	(* (* v v) 3)
22.0ms	(* 6 (* v v))
10.0ms	(/ (/ 4 PI) (- 3 (* (* v v) 3)))
5.0ms	(sqrt (- 2 (* 6 (* v v))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

150.0ms	(/ (/ 4 PI) (- 3 (* (* v v) 3)))
75.0ms	(sqrt (- 2 (* 6 (* v v))))
33.0ms	(* (* v v) 3)
31.0ms	(* 6 (* v v))

simplify1.0s

Counts: 163 → 163

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 6 (* v v))
0.1b	(* (* v v) 3)
0.0b	(sqrt (- 2 (* 6 (* v v))))
0.0b	(* (sqrt (/ 4 PI)) (/ (sqrt (/ 4 PI)) (- 3 (* (* v v) 3))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

125×	`times-frac`
107×	`add-sqr-sqrt`
82×	`sqrt-prod`
80×	`*-un-lft-identity`
74×	`associate-r`
64×	`add-cube-cbrt`
20×	`associate-l`
19×	`add-cbrt-cube` `add-exp-log`
17×	`pow1`
16×	`distribute-rgt-out--`
14×	`unswap-sqr`
8×	`prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
6×	`div-inv`
4×	`expm1-log1p-u` `sqrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3--` `associate-/r/` `flip--`
1×	`frac-times` `cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-l/` `associate-r/`

Counts

4 → 179

Calls

4 calls:

Slowest

32.0ms	(* (sqrt (/ 4 PI)) (/ (sqrt (/ 4 PI)) (- 3 (* (* v v) 3))))
23.0ms	(* (* v v) 3)
22.0ms	(* 6 (* v v))
5.0ms	(sqrt (- 2 (* 6 (* v v))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

157.0ms	(* (sqrt (/ 4 PI)) (/ (sqrt (/ 4 PI)) (- 3 (* (* v v) 3))))
101.0ms	(sqrt (- 2 (* 6 (* v v))))
52.0ms	(* (* v v) 3)
38.0ms	(* 6 (* v v))

simplify1.6s

Counts: 191 → 191

prune2.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

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)))))

rewrite190.0ms

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

77.0ms	(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
75.0ms	(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
26.0ms	(* 6 (* v v))
10.0ms	(sqrt (- 2 (* 6 (* v v))))

series990.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

518.0ms	(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
309.0ms	(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
116.0ms	(sqrt (- 2 (* 6 (* v v))))
46.0ms	(* 6 (* v v))

simplify1.6s

Counts: 123 → 123

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.6s	7906×	body	80	nan
1.3s	8000×	body	80	valid