Details

sample33.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify26.0ms

Calls

1 calls:

Slowest

26.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize18.0ms

Local error

Found 1 expressions with local error:

19.4b

(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×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

7.0ms

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

series120.0ms

Calls

1 calls:

Slowest

120.0ms

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

simplify1.1s

Calls

11 calls:

Slowest

390.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
368.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
195.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
33.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
31.0ms	(cbrt (sqrt (/ g (* 2 a))))

prune233.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
19×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
6×	`times-frac` `associate-l`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `unswap-sqr`
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`

Calls

3 calls:

Slowest

20.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
8.0ms	(cbrt (/ 1 (* 2 a)))
1.0ms	(cbrt g)

series721.0ms

Calls

3 calls:

Slowest

343.0ms	(cbrt (/ 1 (* 2 a)))
244.0ms	(cbrt g)
133.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.1s

Calls

48 calls:

Slowest

316.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
213.0ms	(* (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)))
146.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
145.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))

prune709.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
42×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`times-frac`
17×	`associate-r`
12×	`associate-l`
11×	`pow1` `add-exp-log`
8×	`unswap-sqr`
7×	`pow1/3` `pow-prod-down`
5×	`add-cbrt-cube`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`cbrt-div` `associate-*r/`
2×	`*-commutative` `div-inv`

Calls

4 calls:

Slowest

35.0ms	(* (cbrt g) (* (cbrt 1/2) (cbrt (/ 1 a))))
17.0ms	(* (cbrt 1/2) (cbrt (/ 1 a)))
3.0ms	(cbrt (/ 1 a))
2.0ms	(cbrt g)

series1.1s

Calls

4 calls:

Slowest

420.0ms	(* (cbrt 1/2) (cbrt (/ 1 a)))
273.0ms	(cbrt g)
269.0ms	(cbrt (/ 1 a))
141.0ms	(* (cbrt g) (* (cbrt 1/2) (cbrt (/ 1 a))))

simplify3.1s

Calls

85 calls:

Slowest

412.0ms	(* g (* (* (* (cbrt 1/2) (cbrt (/ 1 a))) (* (cbrt 1/2) (cbrt (/ 1 a)))) (* (cbrt 1/2) (cbrt (/ 1 a)))))
328.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
263.0ms	(* (* (cbrt 1/2) (cbrt -1)) (pow (/ -1 a) 1/3))
228.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
194.0ms	(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt (* 2 a))
0.5b	(cbrt g)
0.3b	(/ (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×	`pow1` `add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow1/3`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Calls

3 calls:

Slowest

6.0ms	(/ (cbrt g) (cbrt (* 2 a)))
3.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series746.0ms

Calls

3 calls:

Slowest

317.0ms	(cbrt g)
270.0ms	(cbrt (* 2 a))
159.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.7s

Calls

72 calls:

Slowest

328.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
220.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
159.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
154.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
116.0ms	(* (pow (* a -1) 1/3) (cbrt -2))

prune702.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes518.0ms

Accuracy

0% (0.8b remaining)

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

bsearch1.0ms

end0.0ms

sample744.0ms

Algorithm

intervals

Results

617.0ms

8000×

body

valid