Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify26.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

25.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize23.0ms

Local error

Found 2 expressions with local error:

16.0b	(cbrt (/ g (* 2 a)))
0.2b	(/ g (* 2 a))

rewrite10.0ms

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

6.0ms	(/ g (* 2 a))
3.0ms	(cbrt (/ g (* 2 a)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

139.0ms	(cbrt (/ g (* 2 a)))
19.0ms	(/ g (* 2 a))

simplify1.4s

Counts

26 → 49

Calls

26 calls:

Slowest

338.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
330.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
203.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
137.0ms	(/ (* (* g g) g) (* (* (* 2 a) (* 2 a)) (* 2 a)))
97.0ms	(/ (* (* g g) g) (* (* (* 2 2) 2) (* (* a a) a)))

prune424.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (* 2 a)))
0.6b	(cbrt g)
0.3b	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
0.2b	(/ 1 (* 2 a))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

Slowest

12.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
9.0ms	(/ 1 (* 2 a))
5.0ms	(cbrt (/ 1 (* 2 a)))
1.0ms	(cbrt g)

series693.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

279.0ms	(cbrt (/ 1 (* 2 a)))
239.0ms	(cbrt g)
146.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))
29.0ms	(/ 1 (* 2 a))

simplify3.4s

Counts

67 → 112

Calls

67 calls:

Slowest

629.0ms	(/ (* (* 1 1) 1) (* (* (* 2 a) (* 2 a)) (* 2 a)))
379.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
343.0ms	(/ (* (* 1 1) 1) (* (* (* 2 2) 2) (* (* a a) a)))
198.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
177.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))

prune1.1s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

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

42.0ms	(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))
18.0ms	(* (cbrt g) (cbrt (/ 1 2)))
3.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt g)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

347.0ms	(* (cbrt g) (cbrt (/ 1 2)))
313.0ms	(cbrt g)
294.0ms	(cbrt (/ 1 a))
174.0ms	(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))

simplify3.8s

Counts

99 → 135

Calls

99 calls:

Slowest

427.0ms	(* (* (* (* (cbrt g) (cbrt (/ 1 2))) (* (cbrt g) (cbrt (/ 1 2)))) (* (cbrt g) (cbrt (/ 1 2)))) (/ 1 a))
340.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
248.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
234.0ms	(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))
226.0ms	(* (* (cbrt 1/2) (cbrt -1)) (pow (* g -1) 1/3))

prune1.5s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
69×	`cbrt-prod`
43×	`times-frac`
38×	`*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-l`
17×	`associate-r`
16×	`unswap-sqr`
11×	`pow1` `add-exp-log`
9×	`cbrt-div`
7×	`pow1/3` `pow-prod-down`
5×	`add-cbrt-cube` `associate-*r/`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`frac-times` `associate-l/` `-commutative`

Counts

4 → 133

Calls

4 calls:

Slowest

20.0ms	(* (cbrt g) (* (cbrt (/ 1 2)) (cbrt (/ 1 a))))
13.0ms	(* (cbrt (/ 1 2)) (cbrt (/ 1 a)))
2.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt g)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

341.0ms	(* (cbrt (/ 1 2)) (cbrt (/ 1 a)))
293.0ms	(cbrt g)
238.0ms	(cbrt (/ 1 a))
202.0ms	(* (cbrt g) (* (cbrt (/ 1 2)) (cbrt (/ 1 a))))

simplify3.9s

Counts

116 → 145

Calls

116 calls:

Slowest

270.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
236.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
224.0ms	(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))
220.0ms	(* (* (cbrt 1/2) (cbrt -1)) (pow (/ -1 a) 1/3))
177.0ms	(* g (* (* (* (cbrt (/ 1 2)) (cbrt (/ 1 a))) (* (cbrt (/ 1 2)) (cbrt (/ 1 a)))) (* (cbrt (/ 1 2)) (cbrt (/ 1 a)))))

prune1.5s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0b

regimes689.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

569.0ms

8000×

body

valid