Details

sample24.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify25.0ms

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: 14.8b

localize17.0ms

Local error

Found 1 expressions with local error:

14.8b

(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×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

Slowest

6.0ms

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

series147.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

147.0ms

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

simplify1.3s

Counts

27 → 20

Calls

27 calls:

Slowest

381.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
297.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
187.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
57.0ms	(* (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))) (cbrt (/ g (* 2 a))))
32.0ms	(cbrt (/ 1 (* 2 a)))

prune180.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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×	`pow1` `add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow1/3`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 69

Calls

3 calls:

Slowest

8.0ms	(/ (cbrt g) (cbrt (* 2 a)))
3.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series706.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

323.0ms	(cbrt (* 2 a))
224.0ms	(cbrt g)
159.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify2.3s

Counts

105 → 78

Calls

105 calls:

Slowest

257.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
219.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
202.0ms	(* (* (/ (cbrt g) (cbrt (* 2 a))) (/ (cbrt g) (cbrt (* 2 a)))) (/ (cbrt g) (cbrt (* 2 a))))
170.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
156.0ms	(* (pow (* a -1) 1/3) (cbrt -2))

prune708.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
35×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
16×	`associate-r`
6×	`associate-l` `unswap-sqr`
5×	`pow1` `add-exp-log`
4×	`pow1/3`
3×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod`

Counts

3 → 77

Calls

3 calls:

Slowest

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

series754.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

347.0ms	(cbrt (/ 1/2 a))
291.0ms	(cbrt g)
116.0ms	(* (cbrt g) (cbrt (/ 1/2 a)))

simplify2.6s

Counts

106 → 86

Calls

106 calls:

Slowest

297.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
231.0ms	(* (* (* (cbrt g) (cbrt (/ 1/2 a))) (* (cbrt g) (cbrt (/ 1/2 a)))) (* (cbrt g) (cbrt (/ 1/2 a))))
205.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
192.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
171.0ms	(* (pow (/ -1 a) 1/3) (cbrt -1/2))

prune809.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
89×	`add-sqr-sqrt`
80×	`times-frac`
61×	`*-un-lft-identity` `add-cube-cbrt`
40×	`associate-r`
11×	`add-exp-log`
10×	`unswap-sqr`
6×	`pow1` `associate-/r` `associate-l` `associate-/l`
5×	`add-cbrt-cube`
4×	`insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 156

Calls

4 calls:

Slowest

22.0ms	(* (cbrt g) (/ (cbrt 1/2) (cbrt a)))
9.0ms	(/ (cbrt 1/2) (cbrt a))
8.0ms	(cbrt g)
1.0ms	(cbrt a)

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

322.0ms	(/ (cbrt 1/2) (cbrt a))
304.0ms	(cbrt a)
273.0ms	(cbrt g)
127.0ms	(* (cbrt g) (/ (cbrt 1/2) (cbrt a)))

simplify8.1s

Counts

218 → 168

Calls

218 calls:

Slowest

324.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
321.0ms	(* g (* (* (/ (cbrt 1/2) (cbrt a)) (/ (cbrt 1/2) (cbrt a))) (/ (cbrt 1/2) (cbrt a))))
300.0ms	(* (* (* (cbrt g) (/ (cbrt 1/2) (cbrt a))) (* (cbrt g) (/ (cbrt 1/2) (cbrt a)))) (* (cbrt g) (/ (cbrt 1/2) (cbrt a))))
297.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
244.0ms	(* (/ (cbrt 1/2) (cbrt -1)) (pow (/ -1 a) 1/3))

prune1.6s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes365.0ms

Accuracy

0% (0.8b remaining)

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

bsearch1.0ms

end0.0ms

sample804.0ms

Algorithm

intervals

Results

639.0ms

8000×

body

valid