Details

sample20.0ms

Algorithm

intervals

Results

12.0ms

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: 14.2b

localize17.0ms

Local error

Found 1 expressions with local error:

14.2b

(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

7.0ms

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

series138.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

138.0ms

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

simplify792.0ms

Counts

11 → 20

Calls

11 calls:

Slowest

284.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
271.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
163.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
24.0ms	(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
20.0ms	(cbrt (sqrt (/ g (* 2 a))))

prune185.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

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

6.0ms	(/ (cbrt g) (cbrt (* 2 a)))
3.0ms	(cbrt (* 2 a))
1.0ms	(cbrt g)

series722.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

285.0ms	(cbrt (* 2 a))
256.0ms	(cbrt g)
181.0ms	(/ (cbrt g) (cbrt (* 2 a)))

simplify1.8s

Counts

72 → 78

Calls

72 calls:

Slowest

308.0ms	(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
210.0ms	(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
181.0ms	(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
167.0ms	(* (cbrt -1) (pow (* g -1) 1/3))
113.0ms	(* (pow (* a -1) 1/3) (cbrt -2))

prune762.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt g)
0.5b	(cbrt (/ 1 (* 2 a)))
0.4b	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

rewrite20.0ms

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×	`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 → 63

Calls

3 calls:

Slowest

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

series778.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

323.0ms	(cbrt (/ 1 (* 2 a)))
303.0ms	(cbrt g)
152.0ms	(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.1s

Counts

48 → 72

Calls

48 calls:

Slowest

333.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
229.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
189.0ms	(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
139.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))
133.0ms	(* (cbrt 1/2) (pow (/ 1 a) 1/3))

prune736.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 a))
0.6b	(cbrt g)
0.5b	(* (cbrt 1/2) (cbrt (/ 1 a)))
0.4b	(* (cbrt g) (* (cbrt 1/2) (cbrt (/ 1 a))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
42×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`times-frac`
17×	`associate-r`
12×	`associate-l`
11×	`pow1` `add-exp-log`
8×	`unswap-sqr`
7×	`pow1/3` `pow-prod-down`
5×	`add-cbrt-cube`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`cbrt-div` `associate-*r/`
2×	`*-commutative` `div-inv`

Counts

4 → 103

Calls

4 calls:

Slowest

22.0ms	(* (cbrt g) (* (cbrt 1/2) (cbrt (/ 1 a))))
10.0ms	(* (cbrt 1/2) (cbrt (/ 1 a)))
2.0ms	(cbrt (/ 1 a))
1.0ms	(cbrt g)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

372.0ms	(* (cbrt 1/2) (cbrt (/ 1 a)))
267.0ms	(cbrt (/ 1 a))
265.0ms	(cbrt g)
159.0ms	(* (cbrt g) (* (cbrt 1/2) (cbrt (/ 1 a))))

simplify2.9s

Counts

85 → 115

Calls

85 calls:

Slowest

341.0ms	(* g (* (* (* (cbrt 1/2) (cbrt (/ 1 a))) (* (cbrt 1/2) (cbrt (/ 1 a)))) (* (cbrt 1/2) (cbrt (/ 1 a)))))
311.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
211.0ms	(* (* (cbrt 1/2) (cbrt -1)) (pow (/ -1 a) 1/3))
199.0ms	(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))
180.0ms	(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes514.0ms

Accuracy

0% (0.8b remaining)

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

bsearch3.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

961.0ms

8000×

body

valid