Details

sample35.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify27.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

27.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize8.0ms

Local error

Found 1 expressions with local error:

13.8b

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

rewrite4.0ms

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

3.0ms

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

series126.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

126.0ms

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

simplify1.1s

Counts

11 → 22

Calls

11 calls:

Slowest

413.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
335.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
243.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
37.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
37.0ms	(cbrt (sqrt (/ g (* 2 a))))

prune249.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt (* 2 a))
0.5b	(cbrt g)
0.4b	(/ (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×	`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)))
5.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series840.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

326.0ms	(cbrt (* 2 a))
319.0ms	(cbrt g)
195.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify2.0s

Counts

72 → 84

Calls

72 calls:

Slowest

287.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
241.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
161.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
144.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
128.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune774.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* 2 a))
0.5b	(cbrt g)
0.3b	(* (cbrt g) (/ 1 (cbrt (* 2 a))))
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-r`
7×	`pow1` `add-cbrt-cube`
6×	`associate-l` `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-r/` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 113

Calls

4 calls:

Slowest

37.0ms	(* (cbrt g) (/ 1 (cbrt (* 2 a))))
12.0ms	(/ 1 (cbrt (* 2 a)))
5.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

350.0ms	(/ 1 (cbrt (* 2 a)))
327.0ms	(cbrt (* 2 a))
308.0ms	(cbrt g)
168.0ms	(* (cbrt g) (/ 1 (cbrt (* 2 a))))

simplify3.9s

Counts

93 → 125

Calls

93 calls:

Slowest

259.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
258.0ms	(* g (* (* (/ 1 (cbrt (* 2 a))) (/ 1 (cbrt (* 2 a)))) (/ 1 (cbrt (* 2 a)))))
229.0ms	(* (pow (/ -1 a) 1/3) (/ 1 (cbrt -2)))
206.0ms	(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))
195.0ms	(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))

prune1.1s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
35×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
16×	`associate-r`
6×	`associate-l` `unswap-sqr`
5×	`pow1` `add-exp-log`
4×	`pow1/3`
3×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod`

Counts

3 → 83

Calls

3 calls:

Slowest

18.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))
3.0ms	(cbrt (/ 1/2 a))
1.0ms	(cbrt g)

series679.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

275.0ms	(cbrt g)
245.0ms	(cbrt (/ 1/2 a))
159.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))

simplify2.1s

Counts

64 → 92

Calls

64 calls:

Slowest

367.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
271.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
169.0ms	(* (pow (/ -1 a) 1/3) (cbrt -1/2))
167.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
161.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))

prune885.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0b

regimes496.0ms

Accuracy

0% (0.8b remaining)

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

bsearch3.0ms

end0.0ms

sample771.0ms

Algorithm

intervals

Results

597.0ms

8000×

body

valid