Details

sample26.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify14.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

13.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize15.0ms

Local error

Found 2 expressions with local error:

13.5b	(cbrt (/ g (* 2 a)))
0.2b	(/ g (* 2 a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-div` `clear-num` `associate-/r*` `frac-2neg` `pow1/3` `prod-exp` `cbrt-unprod`

Counts

2 → 43

Calls

2 calls:

Slowest

12.0ms	(/ g (* 2 a))
8.0ms	(cbrt (/ g (* 2 a)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

142.0ms	(cbrt (/ g (* 2 a)))
19.0ms	(/ g (* 2 a))

simplify1.5s

Counts

26 → 49

Calls

26 calls:

Slowest

374.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
341.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
239.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
129.0ms	(/ (* (* g g) g) (* (* (* 2 a) (* 2 a)) (* 2 a)))
108.0ms	(/ (* (* g g) g) (* (* (* 2 2) 2) (* (* a a) a)))

prune414.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.8b	(cbrt (* 2 a))
0.7b	(cbrt g)
0.3b	(/ (cbrt g) (cbrt (* 2 a)))

rewrite16.0ms

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

series774.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

307.0ms	(cbrt g)
306.0ms	(cbrt (* 2 a))
161.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.8s

Counts

72 → 84

Calls

72 calls:

Slowest

240.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
214.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
207.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
157.0ms	(* (pow (* a -1) 1/3) (cbrt -2))
150.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune785.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (* 2 a))
0.7b	(cbrt g)
0.4b	(/ (cbrt (* 2 a)) (cbrt g))
0.3b	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))

rewrite37.0ms

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

13.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
11.0ms	(/ (cbrt (* 2 a)) (cbrt g))
5.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series984.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

371.0ms	(cbrt (* 2 a))
279.0ms	(cbrt g)
170.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
163.0ms	(/ (cbrt (* 2 a)) (cbrt g))

simplify13.4s

Counts

281 → 226

Calls

281 calls:

Slowest

509.0ms	(/ (* (* 1 1) 1) (* (* (/ (cbrt (* 2 a)) (cbrt g)) (/ (cbrt (* 2 a)) (cbrt g))) (/ (cbrt (* 2 a)) (cbrt g))))
337.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))) (* (cbrt (cbrt g)) (cbrt (cbrt g)))))
331.0ms	(* (exp (* 1/3 (- (log a) (log g)))) (cbrt 2))
316.0ms	(/ (sqrt 1) (/ (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))) (* (cbrt (cbrt g)) (cbrt (cbrt g)))))
286.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))

prune2.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (* 2 a))
0.7b	(cbrt g)
0.3b	(* (/ 1 (cbrt (* 2 a))) (cbrt g))
0.2b	(/ 1 (cbrt (* 2 a)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
17×	`cbrt-prod` `add-exp-log`
16×	`associate-l`
7×	`pow1` `add-cbrt-cube`
6×	`associate-r` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r*` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv` `pow-flip`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

4 → 112

Calls

4 calls:

Slowest

30.0ms	(* (/ 1 (cbrt (* 2 a))) (cbrt g))
12.0ms	(/ 1 (cbrt (* 2 a)))
11.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

338.0ms	(/ 1 (cbrt (* 2 a)))
296.0ms	(cbrt (* 2 a))
279.0ms	(cbrt g)
152.0ms	(* (/ 1 (cbrt (* 2 a))) (cbrt g))

simplify3.9s

Counts

91 → 124

Calls

91 calls:

Slowest

474.0ms	(+ (- 0 (log (cbrt (* 2 a)))) (log (cbrt g)))
248.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
240.0ms	(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))
239.0ms	(* (* (* (/ 1 (cbrt (* 2 a))) (/ 1 (cbrt (* 2 a)))) (/ 1 (cbrt (* 2 a)))) g)
206.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))

prune1.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes442.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample799.0ms

Algorithm

intervals

Results

609.0ms

8000×

body

valid