Details

sample31.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify14.0ms

Calls

1 calls:

Slowest

14.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize9.0ms

Local error

Found 1 expressions with local error:

13.4b

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
36×	`times-frac`
35×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
18×	`cbrt-div`
12×	`associate-/r` `associate-r` `associate-l*`
4×	`*-commutative` `unswap-sqr`
3×	`associate-/l*`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

12.0ms

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

series132.0ms

Calls

1 calls:

Slowest

131.0ms

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

simplify2.1s

Calls

61 calls:

Slowest

368.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
364.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
170.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
109.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) (* 2 (* (cbrt a) (cbrt a)))))
92.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) (* (sqrt 2) (sqrt a))))

prune615.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

147×	`cbrt-prod`
90×	`times-frac`
83×	`add-sqr-sqrt`
67×	`*-un-lft-identity` `add-cube-cbrt`
24×	`associate-r` `associate-l`
15×	`associate-/r*`
8×	`*-commutative` `unswap-sqr`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`add-exp-log`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`clear-num` `frac-2neg` `div-exp` `div-inv`

Calls

3 calls:

Slowest

8.0ms	(/ (cbrt g) (cbrt (* 2 a)))
7.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series718.0ms

Calls

3 calls:

Slowest

274.0ms	(cbrt (* 2 a))
272.0ms	(cbrt g)
172.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify4.2s

Calls

229 calls:

Slowest

374.0ms	(/ (* (* (cbrt g) (cbrt g)) (cbrt g)) (* (* (cbrt (* 2 a)) (cbrt (* 2 a))) (cbrt (* 2 a))))
229.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
223.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
198.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
123.0ms	(/ (* (* (cbrt g) (cbrt g)) (cbrt g)) (* 2 a))

prune2.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt`
129×	`cbrt-prod`
102×	`times-frac`
82×	`*-un-lft-identity`
76×	`associate-r`
75×	`add-cube-cbrt`
33×	`associate-l`
30×	`associate-/r*`
27×	`unswap-sqr`
21×	`associate-*r/`
18×	`add-cbrt-cube`
17×	`add-exp-log`
10×	`*-commutative`
7×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `cbrt-unprod`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `pow1/3` `un-div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `div-inv` `pow-flip`
1×	`pow-prod-down` `inv-pow`

Calls

4 calls:

Slowest

33.0ms	(* (cbrt g) (/ 1 (cbrt (* 2 a))))
17.0ms	(/ 1 (cbrt (* 2 a)))
5.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series1.1s

Calls

4 calls:

Slowest

339.0ms	(cbrt (* 2 a))
336.0ms	(/ 1 (cbrt (* 2 a)))
230.0ms	(cbrt g)
185.0ms	(* (cbrt g) (/ 1 (cbrt (* 2 a))))

simplify8.4s

Calls

257 calls:

Slowest

447.0ms	(* (* (* (cbrt g) (cbrt g)) (cbrt g)) (* (* (/ 1 (cbrt (* 2 a))) (/ 1 (cbrt (* 2 a)))) (/ 1 (cbrt (* 2 a)))))
365.0ms	(* (* (* (cbrt g) (cbrt g)) (cbrt g)) (/ (* (* 1 1) 1) (* 2 a)))
307.0ms	(* g (/ (* (* 1 1) 1) (* (* (cbrt (* 2 a)) (cbrt (* 2 a))) (cbrt (* 2 a)))))
275.0ms	(* (pow (/ -1 a) 1/3) (/ 1 (cbrt -2)))
257.0ms	(* (* (* (cbrt g) (cbrt g)) (cbrt g)) (/ (* (* 1 1) 1) (* (* (cbrt (* 2 a)) (cbrt (* 2 a))) (cbrt (* 2 a)))))

prune2.4s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod` `add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
18×	`cbrt-div`
16×	`associate-r`
9×	`associate-*r/`
7×	`add-cbrt-cube`
6×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `cbrt-unprod`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `div-inv`
1×	`prod-exp` `*-commutative`

Calls

3 calls:

Slowest

15.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))
3.0ms	(cbrt (/ 1/2 a))
1.0ms	(cbrt g)

series779.0ms

Calls

3 calls:

Slowest

337.0ms	(cbrt g)
307.0ms	(cbrt (/ 1/2 a))
135.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))

simplify2.5s

Calls

83 calls:

Slowest

353.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
326.0ms	(* (* (* (cbrt g) (cbrt g)) (cbrt g)) (* (* (cbrt (/ 1/2 a)) (cbrt (/ 1/2 a))) (cbrt (/ 1/2 a))))
223.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
183.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))
180.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))

prune1.0s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0b

regimes267.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch1.0ms

end0.0ms

sample682.0ms

Algorithm

intervals

Results

519.0ms

8000×

body

valid