Details

sample20.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify33.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

33.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize18.0ms

Local error

Found 1 expressions with local error:

14.2b

(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×	`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

7.0ms

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

series131.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

131.0ms

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

simplify999.0ms

Counts

11 → 22

Calls

11 calls:

Slowest

313.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
307.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
252.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
33.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
30.0ms	(cbrt (sqrt (/ g (* 2 a))))

prune193.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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

11.0ms	(/ (cbrt g) (cbrt (* 2 a)))
6.0ms	(cbrt (* 2 a))
2.0ms	(cbrt g)

series1.1s

Counts

3 → 9

Calls

3 calls:

Slowest

634.0ms	(cbrt (* 2 a))
293.0ms	(cbrt g)
169.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.7s

Counts

72 → 84

Calls

72 calls:

Slowest

256.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
212.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
187.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
162.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
160.0ms	(* (pow (* a -1) 1/3) (cbrt -2))

prune865.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite44.0ms

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

18.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
11.0ms	(/ (cbrt (* 2 a)) (cbrt g))
6.0ms	(cbrt (* 2 a))
2.0ms	(cbrt g)

series954.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

318.0ms	(cbrt (* 2 a))
307.0ms	(cbrt g)
188.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
141.0ms	(/ (cbrt (* 2 a)) (cbrt g))

simplify13.0s

Counts

281 → 226

Calls

281 calls:

Slowest

447.0ms	(/ (* (* 1 1) 1) (* (* (/ (cbrt (* 2 a)) (cbrt g)) (/ (cbrt (* 2 a)) (cbrt g))) (/ (cbrt (* 2 a)) (cbrt g))))
358.0ms	(/ (sqrt 1) (/ (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))) (* (cbrt (cbrt g)) (cbrt (cbrt g)))))
320.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))) (* (cbrt (cbrt g)) (cbrt (cbrt g)))))
303.0ms	(* (exp (* 1/3 (- (log a) (log g)))) (cbrt 2))
228.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))

prune2.3s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt g)
0.6b	(cbrt (* 2 a))
0.4b	(* (/ 1 (cbrt (* 2 a))) (cbrt g))
0.2b	(/ 1 (cbrt (* 2 a)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
17×	`cbrt-prod` `add-exp-log`
16×	`associate-l`
7×	`pow1` `add-cbrt-cube`
6×	`associate-r` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r*` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv` `pow-flip`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

4 → 112

Calls

4 calls:

Slowest

37.0ms	(* (/ 1 (cbrt (* 2 a))) (cbrt g))
13.0ms	(/ 1 (cbrt (* 2 a)))
5.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

368.0ms	(/ 1 (cbrt (* 2 a)))
324.0ms	(cbrt g)
321.0ms	(cbrt (* 2 a))
142.0ms	(* (/ 1 (cbrt (* 2 a))) (cbrt g))

simplify3.7s

Counts

91 → 124

Calls

91 calls:

Slowest

260.0ms	(* (pow (/ -1 a) 1/3) (/ 1 (cbrt -2)))
247.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
234.0ms	(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))
231.0ms	(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))
223.0ms	(* (* (* (/ 1 (cbrt (* 2 a))) (/ 1 (cbrt (* 2 a)))) (/ 1 (cbrt (* 2 a)))) g)

prune1.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes623.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample751.0ms

Algorithm

intervals

Results

591.0ms

8000×

body

valid