Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify22.0ms

Calls

1 calls:

Slowest

22.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize8.0ms

Local error

Found 1 expressions with local error:

15.5b

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

rewrite1.0ms

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)))

series105.0ms

Calls

1 calls:

Slowest

105.0ms

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

simplify554.0ms

Calls

8 calls:

Slowest

222.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
210.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
73.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
23.0ms	(cbrt (sqrt (/ g (* 2 a))))
18.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))

prune162.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

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

7.0ms	(/ (cbrt g) (cbrt (* 2 a)))
1.0ms	(cbrt (* 2 a))
0.0ms	(cbrt g)

series1.2s

Calls

3 calls:

Slowest

734.0ms	(cbrt (* 2 a))
249.0ms	(cbrt g)
177.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.1s

Calls

42 calls:

Slowest

275.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
215.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
115.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
45.0ms	(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))))
34.0ms	(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (sqrt (cbrt (* 2 a))))

prune633.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`pow1/3`
3×	`add-cbrt-cube` `associate-l` `insert-posit16` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod`

Calls

3 calls:

Slowest

10.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
2.0ms	(cbrt (/ 1 (* 2 a)))
0.0ms	(cbrt g)

series701.0ms

Calls

3 calls:

Slowest

307.0ms	(cbrt (/ 1 (* 2 a)))
269.0ms	(cbrt g)
125.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify1.2s

Calls

28 calls:

Slowest

319.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
232.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
94.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
85.0ms	(* g (/ 1 (* 2 a)))
71.0ms	(* g (/ 1 (* 2 a)))

prune537.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

15.0ms	(cbrt (* (* (cbrt (* 2 a)) (cbrt (* 2 a))) (cbrt (* 2 a))))
1.0ms	(cbrt (* 2 a))
0.0ms	(cbrt (* 2 a))
0.0ms	(cbrt (* 2 a))

series1.2s

Calls

4 calls:

Slowest

300.0ms	(cbrt (* 2 a))
292.0ms	(cbrt (* 2 a))
288.0ms	(cbrt (* 2 a))
283.0ms	(cbrt (* (* (cbrt (* 2 a)) (cbrt (* 2 a))) (cbrt (* 2 a))))

simplify184.0ms

Calls

17 calls:

Slowest

24.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
23.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
15.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
14.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
12.0ms	(* (pow a 1/3) (cbrt 2))

prune587.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0.0b

regimes579.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample714.0ms

Algorithm

intervals

Results

594.0ms

8000×

body

valid