Details

sample26.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify26.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

26.0ms

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

prune9.0ms

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)))

rewrite8.0ms

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

7.0ms

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

series132.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

132.0ms

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

simplify1.4s

Counts

29 → 22

Calls

29 calls:

Slowest

384.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
300.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
268.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
69.0ms	(* (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))) (cbrt (/ g (* 2 a))))
32.0ms	(cbrt (sqrt (/ g (* 2 a))))

prune193.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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

6.0ms	(/ (cbrt g) (cbrt (* 2 a)))
5.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series791.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

346.0ms	(cbrt (* 2 a))
251.0ms	(cbrt g)
194.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify2.4s

Counts

111 → 84

Calls

111 calls:

Slowest

299.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
264.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
207.0ms	(* (* (/ (cbrt g) (cbrt (* 2 a))) (/ (cbrt g) (cbrt (* 2 a)))) (/ (cbrt g) (cbrt (* 2 a))))
159.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
137.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune780.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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))
2.0ms	(cbrt g)

series778.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

312.0ms	(cbrt (* 2 a))
309.0ms	(cbrt g)
156.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify2.4s

Counts

111 → 84

Calls

111 calls:

Slowest

247.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
226.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
209.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
188.0ms	(* (* (/ (cbrt g) (cbrt (* 2 a))) (/ (cbrt g) (cbrt (* 2 a)))) (/ (cbrt g) (cbrt (* 2 a))))
135.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune660.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite12.0ms

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

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

series781.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

346.0ms	(cbrt (/ 1/2 a))
246.0ms	(cbrt g)
188.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))

simplify2.8s

Counts

112 → 92

Calls

112 calls:

Slowest

343.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
222.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
200.0ms	(* (* (* (cbrt g) (cbrt (/ 1/2 a))) (* (cbrt g) (cbrt (/ 1/2 a)))) (* (cbrt g) (cbrt (/ 1/2 a))))
174.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
141.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune888.0ms

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

sample820.0ms

Algorithm

intervals

Results

651.0ms

8000×

body

valid