Details

sample35.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify25.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize11.0ms

Local error

Found 1 expressions with local error:

16.3b

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
3×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

Slowest

3.0ms

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

series137.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

137.0ms

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

simplify2.8s

Counts: 22 → 22

prune280.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt g)
0.6b	(cbrt (* 2 a))
0.4b	(/ (cbrt g) (cbrt (* 2 a)))

rewrite16.0ms

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×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 75

Calls

3 calls:

Slowest

8.0ms	(/ (cbrt g) (cbrt (* 2 a)))
5.0ms	(cbrt (* 2 a))
2.0ms	(cbrt g)

series705.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

283.0ms	(cbrt (* 2 a))
224.0ms	(cbrt g)
198.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.7s

Counts: 84 → 84

prune837.0ms

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))
0.4b	(/ (cbrt (* 2 a)) (cbrt g))
0.3b	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))

rewrite23.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `pow1/3` `1-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 214

Calls

4 calls:

Slowest

10.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
6.0ms	(/ (cbrt (* 2 a)) (cbrt g))
3.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series975.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

344.0ms	(cbrt (* 2 a))
311.0ms	(cbrt g)
168.0ms	(/ (cbrt (* 2 a)) (cbrt g))
153.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))

simplify1.1s

Counts: 226 → 226

prune2.8s

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt g)
0.5b	(cbrt (/ 1 (* 2 a)))
0.4b	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
19×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
6×	`times-frac` `associate-l`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `unswap-sqr`
3×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod`

Counts

3 → 69

Calls

3 calls:

Slowest

13.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
5.0ms	(cbrt (/ 1 (* 2 a)))
1.0ms	(cbrt g)

series812.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

326.0ms	(cbrt (/ 1 (* 2 a)))
313.0ms	(cbrt g)
173.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.5s

Counts: 78 → 78

prune795.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 0.0b

regimes786.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch2.0ms

end0.0ms

sample754.0ms

Algorithm

intervals

Results

554.0ms

8000×

body

valid