Details

sample37.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify27.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

27.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize17.0ms

Local error

Found 1 expressions with local error:

14.2b

(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)))

series126.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

125.0ms

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

simplify1.0s

Counts

11 → 22

Calls

11 calls:

Slowest

346.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
339.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
239.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
30.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
17.0ms	(cbrt (sqrt (/ g (* 2 a))))

prune597.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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×	`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 → 69

Calls

3 calls:

Slowest

12.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
4.0ms	(cbrt (/ 1 (* 2 a)))
1.0ms	(cbrt g)

series698.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

264.0ms	(cbrt (/ 1 (* 2 a)))
262.0ms	(cbrt g)
172.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.3s

Counts

48 → 78

Calls

48 calls:

Slowest

287.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
214.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
193.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
162.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
135.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))

prune784.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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

10.0ms	(cbrt (* 2 a))
10.0ms	(/ (cbrt g) (cbrt (* 2 a)))
1.0ms	(cbrt g)

series809.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

341.0ms	(cbrt (* 2 a))
293.0ms	(cbrt g)
176.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.6s

Counts

72 → 84

Calls

72 calls:

Slowest

249.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
196.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
167.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
140.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
131.0ms	(* (pow (* a -1) 1/3) (cbrt -2))

prune875.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
48×	`add-sqr-sqrt`
32×	`-un-lft-identity` `associate-r*`
31×	`times-frac`
30×	`add-cube-cbrt`
11×	`pow1` `add-exp-log`
8×	`unswap-sqr`
7×	`pow1/3` `associate-l` `pow-prod-down`
6×	`cbrt-div`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 123

Calls

4 calls:

Slowest

33.0ms	(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))
9.0ms	(* (cbrt g) (cbrt (/ 1 2)))
3.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt g)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

363.0ms	(* (cbrt g) (cbrt (/ 1 2)))
319.0ms	(cbrt g)
264.0ms	(cbrt (/ 1 a))
141.0ms	(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))

simplify3.5s

Counts

99 → 135

Calls

99 calls:

Slowest

338.0ms	(* (* (* (* (cbrt g) (cbrt (/ 1 2))) (* (cbrt g) (cbrt (/ 1 2)))) (* (cbrt g) (cbrt (/ 1 2)))) (/ 1 a))
302.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
279.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
258.0ms	(* (* (cbrt 1/2) (cbrt -1)) (pow (* g -1) 1/3))
199.0ms	(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes549.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample792.0ms

Algorithm

intervals

Results

630.0ms

8000×

body

valid