Details

sample34.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify34.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

34.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize17.0ms

Local error

Found 2 expressions with local error:

16.0b	(cbrt (/ g (* 2 a)))
0.2b	(/ g (* 2 a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

Slowest

12.0ms	(/ g (* 2 a))
6.0ms	(cbrt (/ g (* 2 a)))

series175.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

146.0ms	(cbrt (/ g (* 2 a)))
28.0ms	(/ g (* 2 a))

simplify1.5s

Counts

26 → 45

Calls

26 calls:

Slowest

411.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
307.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
249.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
133.0ms	(/ (* (* g g) g) (* (* (* 2 a) (* 2 a)) (* 2 a)))
105.0ms	(/ (* (* g g) g) (* (* (* 2 2) 2) (* (* a a) a)))

prune359.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (* 2 a)))
0.6b	(cbrt g)
0.3b	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
0.2b	(/ 1 (* 2 a))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
22×	`add-sqr-sqrt`
17×	`add-exp-log`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
9×	`pow1` `times-frac` `add-cbrt-cube`
6×	`associate-l`
4×	`pow1/3` `div-exp` `prod-exp` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `cbrt-div` `1-exp` `cbrt-unprod` `pow-flip`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-r/` `*-commutative` `inv-pow`

Counts

4 → 92

Calls

4 calls:

Slowest

23.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
17.0ms	(/ 1 (* 2 a))
9.0ms	(cbrt (/ 1 (* 2 a)))
1.0ms	(cbrt g)

series824.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

359.0ms	(cbrt (/ 1 (* 2 a)))
276.0ms	(cbrt g)
167.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
21.0ms	(/ 1 (* 2 a))

simplify3.7s

Counts

67 → 104

Calls

67 calls:

Slowest

789.0ms	(/ (* (* 1 1) 1) (* (* (* 2 a) (* 2 a)) (* 2 a)))
378.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
318.0ms	(/ (* (* 1 1) 1) (* (* (* 2 2) 2) (* (* a a) a)))
204.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
168.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))

prune985.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 a))
0.6b	(cbrt g)
0.5b	(* (cbrt g) (cbrt (/ 1 2)))
0.3b	(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
48×	`add-sqr-sqrt`
32×	`-un-lft-identity` `associate-r*`
31×	`times-frac`
30×	`add-cube-cbrt`
11×	`pow1` `add-exp-log`
8×	`unswap-sqr`
7×	`pow1/3` `associate-l` `pow-prod-down`
6×	`cbrt-div`
5×	`add-cbrt-cube`
4×	`prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`div-inv`
2×	`*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 115

Calls

4 calls:

Slowest

21.0ms	(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))
9.0ms	(* (cbrt g) (cbrt (/ 1 2)))
2.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt g)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

379.0ms	(* (cbrt g) (cbrt (/ 1 2)))
296.0ms	(cbrt g)
278.0ms	(cbrt (/ 1 a))
173.0ms	(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))

simplify3.4s

Counts

99 → 127

Calls

99 calls:

Slowest

343.0ms	(* (* (* (* (cbrt g) (cbrt (/ 1 2))) (* (cbrt g) (cbrt (/ 1 2)))) (* (cbrt g) (cbrt (/ 1 2)))) (/ 1 a))
328.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
270.0ms	(* (* (cbrt 1/2) (cbrt -1)) (pow (* g -1) 1/3))
220.0ms	(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))
204.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))

prune1.3s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 a))
0.6b	(cbrt g)
0.4b	(* (cbrt (/ 1 2)) (cbrt (/ 1 a)))
0.3b	(* (cbrt g) (* (cbrt (/ 1 2)) (cbrt (/ 1 a))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
69×	`cbrt-prod`
43×	`times-frac`
38×	`*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-l`
17×	`associate-r`
16×	`unswap-sqr`
11×	`pow1` `add-exp-log`
9×	`cbrt-div`
7×	`pow1/3` `pow-prod-down`
5×	`add-cbrt-cube` `associate-*r/`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`div-inv`
2×	`frac-times` `associate-l/` `-commutative`

Counts

4 → 125

Calls

4 calls:

Slowest

23.0ms	(* (cbrt (/ 1 2)) (cbrt (/ 1 a)))
19.0ms	(* (cbrt g) (* (cbrt (/ 1 2)) (cbrt (/ 1 a))))
3.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt g)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

400.0ms	(* (cbrt (/ 1 2)) (cbrt (/ 1 a)))
336.0ms	(cbrt g)
291.0ms	(cbrt (/ 1 a))
176.0ms	(* (cbrt g) (* (cbrt (/ 1 2)) (cbrt (/ 1 a))))

simplify4.2s

Counts

116 → 137

Calls

116 calls:

Slowest

525.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
301.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
238.0ms	(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))
209.0ms	(* g (* (* (* (cbrt (/ 1 2)) (cbrt (/ 1 a))) (* (cbrt (/ 1 2)) (cbrt (/ 1 a)))) (* (cbrt (/ 1 2)) (cbrt (/ 1 a)))))
185.0ms	(* g (* (/ 1 2) (/ 1 a)))

prune1.2s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0b

regimes630.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch2.0ms

end0.0ms

sample794.0ms

Algorithm

intervals

Results

583.0ms

8000×

body

valid