Details

sample36.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify25.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

25.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize18.0ms

Local error

Found 1 expressions with local error:

14.0b

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

rewrite9.0ms

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

8.0ms

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

series172.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

172.0ms

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

simplify960.0ms

Counts

11 → 22

Calls

11 calls:

Slowest

340.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
315.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
212.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
31.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
16.0ms	(cbrt (/ 1 2))

prune186.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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

series717.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

280.0ms	(cbrt (* 2 a))
263.0ms	(cbrt g)
174.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.7s

Counts

72 → 84

Calls

72 calls:

Slowest

272.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
256.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
161.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
132.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
129.0ms	(* (pow (* a -1) 1/3) (cbrt -2))

prune843.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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

16.0ms	(* (cbrt g) (/ 1 (cbrt (* 2 a))))
6.0ms	(/ 1 (cbrt (* 2 a)))
6.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

341.0ms	(/ 1 (cbrt (* 2 a)))
290.0ms	(cbrt (* 2 a))
263.0ms	(cbrt g)
178.0ms	(* (cbrt g) (/ 1 (cbrt (* 2 a))))

simplify4.1s

Counts

93 → 125

Calls

93 calls:

Slowest

384.0ms	(cbrt 1)
260.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
252.0ms	(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))
230.0ms	(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))
221.0ms	(* g (* (* (/ 1 (cbrt (* 2 a))) (/ 1 (cbrt (* 2 a)))) (/ 1 (cbrt (* 2 a)))))

prune1.2s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite28.0ms

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

22.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))
2.0ms	(cbrt (/ 1/2 a))
1.0ms	(cbrt g)

series740.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

282.0ms	(cbrt (/ 1/2 a))
273.0ms	(cbrt g)
186.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))

simplify1.8s

Counts

64 → 92

Calls

64 calls:

Slowest

291.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
231.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
174.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
143.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))
126.0ms	(* (pow (/ -1 a) 1/3) (cbrt -1/2))

prune831.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes496.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample792.0ms

Algorithm

intervals

Results

626.0ms

8000×

body

valid