Details

sample33.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify25.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

25.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize16.0ms

Local error

Found 1 expressions with local error:

16.7b

(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)))

series138.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

137.0ms

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

simplify940.0ms

Counts

11 → 22

Calls

11 calls:

Slowest

317.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
307.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
218.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
26.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2))
25.0ms	(cbrt (sqrt (/ g (* 2 a))))

prune215.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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

17.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
5.0ms	(cbrt (/ 1 (* 2 a)))
1.0ms	(cbrt g)

series713.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

305.0ms	(cbrt g)
269.0ms	(cbrt (/ 1 (* 2 a)))
138.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.2s

Counts

48 → 78

Calls

48 calls:

Slowest

293.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
221.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
184.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
167.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))
140.0ms	(* (pow (/ -1 a) 1/3) (cbrt -1/2))

prune814.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt (* 2 a))
0.6b	(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×	`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)

series859.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

385.0ms	(cbrt (* 2 a))
282.0ms	(cbrt g)
192.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.7s

Counts

72 → 84

Calls

72 calls:

Slowest

264.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
180.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
172.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
146.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
135.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune1.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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

21.0ms	(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))
10.0ms	(* (cbrt g) (cbrt (/ 1 2)))
2.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt g)

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

325.0ms	(cbrt (/ 1 a))
277.0ms	(* (cbrt g) (cbrt (/ 1 2)))
263.0ms	(cbrt g)
173.0ms	(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))

simplify3.5s

Counts

99 → 135

Calls

99 calls:

Slowest

415.0ms	(* (* (* (* (cbrt g) (cbrt (/ 1 2))) (* (cbrt g) (cbrt (/ 1 2)))) (* (cbrt g) (cbrt (/ 1 2)))) (/ 1 a))
298.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
266.0ms	(* (* (cbrt 1/2) (cbrt -1)) (pow (* g -1) 1/3))
244.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
228.0ms	(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))

prune1.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0b

regimes280.0ms

Accuracy

0% (0.8b remaining)

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

bsearch1.0ms

end0.0ms

sample736.0ms

Algorithm

intervals

Results

594.0ms

8000×

body

valid