Details

sample29.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify25.0ms

Calls

1 calls:

Slowest

25.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize16.0ms

Local error

Found 1 expressions with local error:

16.8b

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

1.0ms

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

series130.0ms

Calls

1 calls:

Slowest

130.0ms

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

simplify668.0ms

Calls

8 calls:

Slowest

264.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
237.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
120.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
27.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
15.0ms	(cbrt (sqrt (/ g (* 2 a))))

prune138.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

4.0ms	(/ (cbrt g) (cbrt (* 2 a)))
1.0ms	(cbrt (* 2 a))
0.0ms	(cbrt g)

series704.0ms

Calls

3 calls:

Slowest

307.0ms	(cbrt (* 2 a))
240.0ms	(cbrt g)
157.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify940.0ms

Calls

42 calls:

Slowest

218.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
208.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
89.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
37.0ms	(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))))
25.0ms	(/ 1 (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))))

prune574.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt g)
0.5b	(cbrt (* 2 a))
0.5b	(cbrt (* 2 a))
0.5b	(cbrt (* 2 a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`cbrt-prod`

Calls

4 calls:

Slowest

1.0ms	(cbrt (* 2 a))
0.0ms	(cbrt (* 2 a))
0.0ms	(cbrt (* 2 a))
0.0ms	(cbrt g)

series1.2s

Calls

4 calls:

Slowest

330.0ms	(cbrt (* 2 a))
321.0ms	(cbrt (* 2 a))
302.0ms	(cbrt (* 2 a))
286.0ms	(cbrt g)

simplify157.0ms

Calls

15 calls:

Slowest

20.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
19.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
18.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
15.0ms	(pow (/ 1 g) -1/3)
14.0ms	(* (pow a 1/3) (cbrt 2))

prune605.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt g)
0.6b	(cbrt g)
0.6b	(cbrt g)
0.6b	(cbrt (* (* (cbrt g) (cbrt g)) (cbrt g)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
1×	`cbrt-prod` `pow3` `rem-cbrt-cube`

Calls

4 calls:

Slowest

15.0ms	(cbrt (* (* (cbrt g) (cbrt g)) (cbrt g)))
0.0ms	(cbrt g)
0.0ms	(cbrt g)
0.0ms	(cbrt g)

series1.1s

Calls

4 calls:

Slowest

286.0ms	(cbrt g)
261.0ms	(cbrt g)
259.0ms	(cbrt (* (* (cbrt g) (cbrt g)) (cbrt g)))
245.0ms	(cbrt g)

simplify135.0ms

Calls

13 calls:

Slowest

20.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
20.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
20.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
15.0ms	(pow (/ 1 g) -1/3)
14.0ms	(pow (/ 1 g) -1/3)

prune525.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.1b

regimes546.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch2.0ms

end0.0ms

sample678.0ms

Algorithm

intervals

Results

565.0ms

8000×

body

valid