Details

sample24.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify30.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize17.0ms

Local error

Found 1 expressions with local error:

15.4b

(cbrt (/ g (* 2 a)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
3×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
1×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

Slowest

7.0ms

(cbrt (/ g (* 2 a)))

series166.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

166.0ms

(cbrt (/ g (* 2 a)))

simplify2.8s

Counts: 20 → 20

prune189.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt g)
0.6b	(cbrt (* 2 a))
0.3b	(/ (cbrt g) (cbrt (* 2 a)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
24×	`times-frac`
21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-/l*`
5×	`add-exp-log`
4×	`associate-/r*`
3×	`pow1` `add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow1/3`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 69

Calls

3 calls:

Slowest

10.0ms	(/ (cbrt g) (cbrt (* 2 a)))
5.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series761.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

312.0ms	(cbrt g)
298.0ms	(cbrt (* 2 a))
151.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.4s

Counts: 78 → 78

prune691.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt g)
0.6b	(cbrt (* 2 a))
0.3b	(/ (cbrt (* 2 a)) (cbrt g))
0.3b	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
111×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
98×	`cbrt-prod`
34×	`associate-/r*`
17×	`add-exp-log`
8×	`div-exp`
7×	`add-cbrt-cube` `associate-/l*`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `insert-posit16` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `pow1/3` `1-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 206

Calls

4 calls:

Slowest

6.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
5.0ms	(/ (cbrt (* 2 a)) (cbrt g))
2.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

342.0ms	(cbrt (* 2 a))
309.0ms	(cbrt g)
182.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
178.0ms	(/ (cbrt (* 2 a)) (cbrt g))

simplify1.4s

Counts: 218 → 218

prune2.1s

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt g)
0.6b	(cbrt (/ 1/2 a))
0.3b	(* (cbrt g) (cbrt (/ 1/2 a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
35×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
16×	`associate-r`
6×	`associate-l` `unswap-sqr`
5×	`pow1` `add-exp-log`
4×	`pow1/3`
3×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod`

Counts

3 → 77

Calls

3 calls:

Slowest

22.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))
2.0ms	(cbrt (/ 1/2 a))
1.0ms	(cbrt g)

series752.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

324.0ms	(cbrt (/ 1/2 a))
265.0ms	(cbrt g)
162.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))

simplify2.2s

Counts: 86 → 86

prune714.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes495.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch2.0ms

end0.0ms

sample822.0ms

Algorithm

intervals

Results

651.0ms

8000×

body

valid