Details

sample34.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify30.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

30.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize9.0ms

Local error

Found 1 expressions with local error:

16.2b

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

rewrite4.0ms

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

4.0ms

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

series144.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

144.0ms

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

simplify1.1s

Counts

11 → 22

Calls

11 calls:

Slowest

432.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
358.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
255.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
27.0ms	(cbrt (sqrt (/ g (* 2 a))))
23.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))

prune224.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.7b	(cbrt g)
0.6b	(cbrt (* 2 a))
0.3b	(/ (cbrt g) (cbrt (* 2 a)))

rewrite19.0ms

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

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

series795.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

317.0ms	(cbrt g)
300.0ms	(cbrt (* 2 a))
177.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.8s

Counts

72 → 84

Calls

72 calls:

Slowest

297.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
222.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
163.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
127.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
113.0ms	(* (pow (* a -1) 1/3) (cbrt -2))

prune831.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt g)
0.6b	(cbrt (* 2 a))
0.3b	(/ (cbrt (* 2 a)) (cbrt g))
0.3b	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))

rewrite42.0ms

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

14.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
12.0ms	(/ (cbrt (* 2 a)) (cbrt g))
3.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series983.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

337.0ms	(cbrt (* 2 a))
277.0ms	(cbrt g)
199.0ms	(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
170.0ms	(/ (cbrt (* 2 a)) (cbrt g))

simplify13.7s

Counts

281 → 226

Calls

281 calls:

Slowest

437.0ms	(/ (* (* 1 1) 1) (* (* (/ (cbrt (* 2 a)) (cbrt g)) (/ (cbrt (* 2 a)) (cbrt g))) (/ (cbrt (* 2 a)) (cbrt g))))
364.0ms	(/ (sqrt 1) (/ (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))) (* (cbrt (cbrt g)) (cbrt (cbrt g)))))
354.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))) (* (cbrt (cbrt g)) (cbrt (cbrt g)))))
309.0ms	(* (exp (* 1/3 (- (log a) (log g)))) (cbrt 2))
272.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))

prune2.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.7b	(cbrt g)
0.6b	(cbrt (/ 1 (* 2 a)))
0.3b	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

rewrite29.0ms

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

series797.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

327.0ms	(cbrt (/ 1 (* 2 a)))
300.0ms	(cbrt g)
169.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.2s

Counts

48 → 78

Calls

48 calls:

Slowest

313.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
215.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
165.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))
161.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
149.0ms	(* (cbrt -1) (pow (* g -1) 1/3))

prune680.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes357.0ms

Accuracy

0% (0.8b remaining)

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

bsearch3.0ms

end0.0ms

sample807.0ms

Algorithm

intervals

Results

637.0ms

8000×

body

valid