Details

sample20.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

13.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize17.0ms

Local error

Found 1 expressions with local error:

14.0b

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

rewrite6.0ms

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

6.0ms

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

series130.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

129.0ms

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

simplify942.0ms

Counts

11 → 20

Calls

11 calls:

Slowest

368.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
267.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
219.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
24.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
20.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2))

prune195.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

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×	`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

9.0ms	(/ (cbrt g) (cbrt (* 2 a)))
2.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series770.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

329.0ms	(cbrt (* 2 a))
275.0ms	(cbrt g)
166.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.8s

Counts

72 → 78

Calls

72 calls:

Slowest

261.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
247.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
184.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
170.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
116.0ms	(* (pow (* a -1) 1/3) (cbrt -2))

prune802.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite47.0ms

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×	`associate-/r*` `div-exp` `prod-exp` `insert-posit16` `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 → 105

Calls

4 calls:

Slowest

27.0ms	(* (cbrt g) (/ 1 (cbrt (* 2 a))))
11.0ms	(/ 1 (cbrt (* 2 a)))
5.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

306.0ms	(cbrt g)
302.0ms	(/ 1 (cbrt (* 2 a)))
301.0ms	(cbrt (* 2 a))
149.0ms	(* (cbrt g) (/ 1 (cbrt (* 2 a))))

simplify3.5s

Counts

93 → 117

Calls

93 calls:

Slowest

252.0ms	(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))
252.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
193.0ms	(* g (* (* (/ 1 (cbrt (* 2 a))) (/ 1 (cbrt (* 2 a)))) (/ 1 (cbrt (* 2 a)))))
185.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
183.0ms	(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))

prune1.1s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite23.0ms

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

17.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))
3.0ms	(cbrt (/ 1/2 a))
1.0ms	(cbrt g)

series821.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

364.0ms	(cbrt (/ 1/2 a))
300.0ms	(cbrt g)
157.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))

simplify1.7s

Counts

64 → 86

Calls

64 calls:

Slowest

307.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
186.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
175.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
160.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))
141.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))

prune761.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes548.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample747.0ms

Algorithm

intervals

Results

587.0ms

8000×

body

valid