Details

sample39.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify26.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

26.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize16.0ms

Local error

Found 1 expressions with local error:

16.2b

(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×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

Slowest

6.0ms

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

series137.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

137.0ms

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

simplify978.0ms

Counts

11 → 20

Calls

11 calls:

Slowest

367.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
321.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
214.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
29.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
16.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2))

prune172.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.7b	(cbrt g)
0.6b	(cbrt (* 2 a))
0.3b	(/ (cbrt g) (cbrt (* 2 a)))

rewrite19.0ms

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

Counts

3 → 69

Calls

3 calls:

Slowest

10.0ms	(/ (cbrt g) (cbrt (* 2 a)))
5.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series720.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

298.0ms	(cbrt g)
250.0ms	(cbrt (* 2 a))
171.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.7s

Counts

72 → 78

Calls

72 calls:

Slowest

283.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
219.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
177.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
122.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
122.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune807.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt g)
0.6b	(cbrt (* 2 a))
0.3b	(/ (cbrt (* 2 a)) (cbrt g))
0.3b	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))

rewrite19.0ms

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

Counts

4 → 206

Calls

4 calls:

Slowest

7.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
5.0ms	(/ (cbrt (* 2 a)) (cbrt g))
3.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series871.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

288.0ms	(cbrt g)
277.0ms	(cbrt (* 2 a))
161.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
144.0ms	(/ (cbrt (* 2 a)) (cbrt g))

simplify13.0s

Counts

281 → 218

Calls

281 calls:

Slowest

385.0ms	(/ (* (* 1 1) 1) (* (* (/ (cbrt (* 2 a)) (cbrt g)) (/ (cbrt (* 2 a)) (cbrt g))) (/ (cbrt (* 2 a)) (cbrt g))))
377.0ms	(* (exp (* 1/3 (- (log a) (log g)))) (cbrt 2))
350.0ms	(/ (sqrt 1) (/ (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))) (* (cbrt (cbrt g)) (cbrt (cbrt g)))))
296.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))) (* (cbrt (cbrt g)) (cbrt (cbrt g)))))
293.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))

prune2.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.7b	(cbrt g)
0.6b	(cbrt (/ 1 (* 2 a)))
0.3b	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

rewrite34.0ms

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×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod`

Counts

3 → 63

Calls

3 calls:

Slowest

22.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
10.0ms	(cbrt (/ 1 (* 2 a)))
2.0ms	(cbrt g)

series819.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

338.0ms	(cbrt g)
328.0ms	(cbrt (/ 1 (* 2 a)))
152.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.1s

Counts

48 → 72

Calls

48 calls:

Slowest

307.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
200.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
170.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
142.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
131.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))

prune679.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes301.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample724.0ms

Algorithm

intervals

Results

574.0ms

8000×

body

valid