Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify31.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

31.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize18.0ms

Local error

Found 1 expressions with local error:

12.8b

(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)))

series136.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

135.0ms

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

simplify1.4s

Counts

11 → 22

Calls

11 calls:

Slowest

713.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
330.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
283.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
27.0ms	(cbrt (sqrt (/ g (* 2 a))))
26.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2))

prune221.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt g)
0.5b	(cbrt (* 2 a))
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×	`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)

series891.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

397.0ms	(cbrt (* 2 a))
325.0ms	(cbrt g)
169.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.9s

Counts

72 → 84

Calls

72 calls:

Slowest

286.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
268.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
186.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
145.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
129.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune699.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt g)
0.5b	(cbrt (* 2 a))
0.4b	(/ (cbrt (* 2 a)) (cbrt g))
0.3b	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
111×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
98×	`cbrt-prod`
34×	`associate-/r*`
17×	`add-exp-log`
8×	`div-exp`
7×	`add-cbrt-cube` `associate-/l*`
6×	`div-inv`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `pow1/3` `1-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 214

Calls

4 calls:

Slowest

7.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
5.0ms	(/ (cbrt (* 2 a)) (cbrt g))
3.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

318.0ms	(cbrt g)
296.0ms	(cbrt (* 2 a))
202.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
190.0ms	(/ (cbrt (* 2 a)) (cbrt g))

simplify13.4s

Counts

281 → 226

Calls

281 calls:

Slowest

569.0ms	(/ (* (* 1 1) 1) (* (* (/ (cbrt (* 2 a)) (cbrt g)) (/ (cbrt (* 2 a)) (cbrt g))) (/ (cbrt (* 2 a)) (cbrt g))))
363.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))) (* (cbrt (cbrt g)) (cbrt (cbrt g)))))
294.0ms	(* (exp (* 1/3 (- (log a) (log g)))) (cbrt 2))
281.0ms	(/ (sqrt 1) (/ (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))) (* (cbrt (cbrt g)) (cbrt (cbrt g)))))
253.0ms	(* (exp (* 1/3 (- (log (/ 1 g)) (log (/ 1 a))))) (cbrt 2))

prune2.2s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

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

series729.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

283.0ms	(cbrt (* a 2))
257.0ms	(cbrt g)
189.0ms	(/ (cbrt g) (cbrt (* a 2)))

simplify1.8s

Counts

72 → 84

Calls

72 calls:

Slowest

266.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
244.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
160.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
153.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
144.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))

prune918.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

regimes353.0ms

Accuracy

0% (0.8b remaining)

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

bsearch1.0ms

end0.0ms

sample900.0ms

Algorithm

intervals

Results

717.0ms

8000×

body

valid