Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify15.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize7.0ms

Local error

Found 1 expressions with local error:

12.5b

(cbrt (/ g (* 2.0 a)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

9.0ms

(cbrt (/ g (* 2.0 a)))

series135.0ms

Counts

1 → 3

Calls

1 calls:

135.0ms

(cbrt (/ g (* 2.0 a)))

simplify676.0ms

Counts: 19 → 19

prune66.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b	(cbrt g)
0.6b	(cbrt (/ 1 (* 2.0 a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
19×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
6×	`times-frac` `associate-l`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `unswap-sqr`
3×	`add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod`

Counts

3 → 60

Calls

3 calls:

20.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms	(cbrt g)
7.0ms	(cbrt (/ 1 (* 2.0 a)))

series654.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
238.0ms	(cbrt g)
278.0ms	(cbrt (/ 1 (* 2.0 a)))

simplify1.3s

Counts: 69 → 69

prune300.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (cbrt (/ 1 (* 2.0 a))) (cbrt g))
0.6b	(cbrt g)
0.6b	(cbrt (/ 1 (* 2.0 a)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
19×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
6×	`times-frac` `associate-r`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `unswap-sqr`
3×	`add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod`

Counts

3 → 60

Calls

3 calls:

26.0ms	(* (cbrt (/ 1 (* 2.0 a))) (cbrt g))
3.0ms	(cbrt g)
13.0ms	(cbrt (/ 1 (* 2.0 a)))

series698.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(* (cbrt (/ 1 (* 2.0 a))) (cbrt g))
262.0ms	(cbrt g)
294.0ms	(cbrt (/ 1 (* 2.0 a)))

simplify1.3s

Counts: 69 → 69

prune242.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b	(cbrt g)
0.6b	(cbrt (* 2.0 a))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

13.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms	(cbrt g)
6.0ms	(cbrt (* 2.0 a))

series722.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
298.0ms	(cbrt g)
253.0ms	(cbrt (* 2.0 a))

simplify1.6s

Counts: 75 → 75

prune222.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 0.0b

regimes454.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify29.0ms

end0.0ms

sample684.0ms

Algorithm

intervals

Results

333.0ms

8000×

body

valid