Details

sample24.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify14.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

14.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize17.0ms

Local error

Found 1 expressions with local error:

14.3b

(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×	`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

4.0ms

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

series115.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

115.0ms

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

simplify1.3s

Counts

27 → 20

Calls

27 calls:

Slowest

317.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
298.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
271.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
62.0ms	(* (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))) (cbrt (/ g (* 2 a))))
32.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))

prune212.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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

7.0ms	(cbrt (* 2 a))
6.0ms	(/ (cbrt g) (cbrt (* 2 a)))
2.0ms	(cbrt g)

series735.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

310.0ms	(cbrt (* 2 a))
263.0ms	(cbrt g)
163.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify2.5s

Counts

105 → 78

Calls

105 calls:

Slowest

265.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
251.0ms	(* (* (/ (cbrt g) (cbrt (* 2 a))) (/ (cbrt g) (cbrt (* 2 a)))) (/ (cbrt g) (cbrt (* 2 a))))
221.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
166.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
163.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))

prune805.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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×	`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 → 77

Calls

3 calls:

Slowest

14.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))
1.0ms	(cbrt (/ 1/2 a))
1.0ms	(cbrt g)

series760.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

330.0ms	(cbrt (/ 1/2 a))
252.0ms	(cbrt g)
178.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))

simplify3.2s

Counts

106 → 86

Calls

106 calls:

Slowest

693.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
279.0ms	(* (* (* (cbrt g) (cbrt (/ 1/2 a))) (* (cbrt g) (cbrt (/ 1/2 a)))) (* (cbrt g) (cbrt (/ 1/2 a))))
235.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
154.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
151.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune824.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt g)
0.6b	(cbrt (/ 1/2 a))
0.4b	(* (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×	`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 → 77

Calls

3 calls:

Slowest

24.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))
2.0ms	(cbrt (/ 1/2 a))
1.0ms	(cbrt g)

series804.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

321.0ms	(cbrt (/ 1/2 a))
316.0ms	(cbrt g)
166.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))

simplify2.7s

Counts

106 → 86

Calls

106 calls:

Slowest

324.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
239.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
193.0ms	(* (* (* (cbrt g) (cbrt (/ 1/2 a))) (* (cbrt g) (cbrt (/ 1/2 a)))) (* (cbrt g) (cbrt (/ 1/2 a))))
166.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
152.0ms	(* (pow (/ -1 a) 1/3) (cbrt -1/2))

prune805.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.0b

regimes569.0ms

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

581.0ms

8000×

body

valid