Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify27.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

27.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize17.0ms

Local error

Found 1 expressions with local error:

14.8b

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

rewrite7.0ms

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)))

series155.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

155.0ms

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

simplify1.4s

Counts

29 → 22

Calls

29 calls:

Slowest

383.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
372.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
187.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
65.0ms	(* (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))) (cbrt (/ g (* 2 a))))
34.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))

prune219.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

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

5.0ms	(/ (cbrt g) (cbrt (* 2 a)))
3.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series755.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

312.0ms	(cbrt (* 2 a))
248.0ms	(cbrt g)
195.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify2.4s

Counts

111 → 84

Calls

111 calls:

Slowest

279.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
227.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
197.0ms	(* (* (/ (cbrt g) (cbrt (* 2 a))) (/ (cbrt g) (cbrt (* 2 a)))) (/ (cbrt g) (cbrt (* 2 a))))
183.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
147.0ms	(* (pow (* a -1) 1/3) (cbrt -2))

prune795.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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

13.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))
1.0ms	(cbrt (/ 1/2 a))
1.0ms	(cbrt g)

series724.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

317.0ms	(cbrt (/ 1/2 a))
272.0ms	(cbrt g)
134.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))

simplify2.9s

Counts

112 → 92

Calls

112 calls:

Slowest

329.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
254.0ms	(* (* (* (cbrt g) (cbrt (/ 1/2 a))) (* (cbrt g) (cbrt (/ 1/2 a)))) (* (cbrt g) (cbrt (/ 1/2 a))))
246.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
144.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
144.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune735.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
89×	`add-sqr-sqrt`
80×	`times-frac`
61×	`*-un-lft-identity` `add-cube-cbrt`
40×	`associate-r`
11×	`add-exp-log`
10×	`unswap-sqr`
6×	`pow1` `associate-/r` `associate-l` `associate-/l`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 164

Calls

4 calls:

Slowest

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

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

364.0ms	(/ (cbrt 1/2) (cbrt a))
340.0ms	(cbrt g)
290.0ms	(cbrt a)
159.0ms	(* (cbrt g) (/ (cbrt 1/2) (cbrt a)))

simplify8.9s

Counts

226 → 176

Calls

226 calls:

Slowest

792.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
366.0ms	(* g (* (* (/ (cbrt 1/2) (cbrt a)) (/ (cbrt 1/2) (cbrt a))) (/ (cbrt 1/2) (cbrt a))))
347.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
316.0ms	(* (* (* (cbrt g) (/ (cbrt 1/2) (cbrt a))) (* (cbrt g) (/ (cbrt 1/2) (cbrt a)))) (* (cbrt g) (/ (cbrt 1/2) (cbrt a))))
272.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))

prune1.7s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes423.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch1.0ms

end0.0ms

sample813.0ms

Algorithm

intervals

Results

615.0ms

8000×

body

valid