Details

sample67.0ms

Algorithm

intervals

Results

29.0ms	293×	body	80	nan
22.0ms	282×	body	80	valid

simplify15.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

15.0ms

(* c0 (sqrt (/ A (* V l))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize13.0ms

Local error

Found 3 expressions with local error:

15.4b	(sqrt (/ A (* V l)))
4.9b	(/ A (* V l))
1.1b	(* c0 (sqrt (/ A (* V l))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
9×	`times-frac`
6×	`pow1`
3×	`associate-l` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `*-commutative`

Counts

3 → 69

Calls

3 calls:

Slowest

16.0ms	(* c0 (sqrt (/ A (* V l))))
16.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

56.0ms	(* c0 (sqrt (/ A (* V l))))
48.0ms	(sqrt (/ A (* V l)))
28.0ms	(/ A (* V l))

simplify1.2s

Counts

51 → 78

Calls

51 calls:

Slowest

228.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
162.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
115.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
50.0ms	(- (log A) (+ (log V) (log l)))
36.0ms	(+ (log c0) (log (sqrt (/ A (* V l)))))

prune886.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.3b

localize43.0ms

Local error

Found 4 expressions with local error:

15.4b	(sqrt (/ A (* V l)))
15.4b	(sqrt (/ A (* V l)))
4.9b	(/ A (* V l))
4.9b	(/ A (* V l))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
6×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `div-inv` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod`

Counts

4 → 82

Calls

4 calls:

Slowest

13.0ms	(/ A (* V l))
13.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))
9.0ms	(sqrt (/ A (* V l)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

52.0ms	(sqrt (/ A (* V l)))
36.0ms	(sqrt (/ A (* V l)))
31.0ms	(/ A (* V l))
23.0ms	(/ A (* V l))

simplify1.1s

Counts

56 → 94

Calls

56 calls:

Slowest

153.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
131.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
112.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
111.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
58.0ms	(- (log A) (log (* V l)))

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.3b

localize42.0ms

Local error

Found 4 expressions with local error:

17.8b	(cbrt (/ A (* V l)))
17.8b	(cbrt (/ A (* V l)))
17.8b	(cbrt (/ A (* V l)))
15.4b	(sqrt (/ A (* V l)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`sqrt-prod`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `sqrt-div`

Counts

4 → 70

Calls

4 calls:

Slowest

10.0ms	(cbrt (/ A (* V l)))
9.0ms	(sqrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))
3.0ms	(cbrt (/ A (* V l)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(cbrt (/ A (* V l)))
107.0ms	(cbrt (/ A (* V l)))
104.0ms	(cbrt (/ A (* V l)))
47.0ms	(sqrt (/ A (* V l)))

simplify2.5s

Counts

46 → 82

Calls

46 calls:

Slowest

344.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
328.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
290.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
246.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))
233.0ms	(exp (* 1/3 (- (+ (log (/ 1 l)) (log (/ 1 V))) (log (/ 1 A)))))

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.3b

localize42.0ms

Local error

Found 4 expressions with local error:

17.8b	(cbrt (/ A (* V l)))
17.8b	(cbrt (/ A (* V l)))
15.4b	(sqrt (/ A (* V l)))
14.7b	(cbrt (* V l))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
11×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`sqrt-prod`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`cbrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `sqrt-div`

Counts

4 → 63

Calls

4 calls:

Slowest

10.0ms	(sqrt (/ A (* V l)))
6.0ms	(cbrt (* V l))
3.0ms	(cbrt (/ A (* V l)))
3.0ms	(cbrt (/ A (* V l)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(cbrt (/ A (* V l)))
118.0ms	(cbrt (/ A (* V l)))
117.0ms	(cbrt (* V l))
59.0ms	(sqrt (/ A (* V l)))

simplify2.6s

Counts

39 → 75

Calls

39 calls:

Slowest

409.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
390.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
270.0ms	(exp (* -1/3 (+ (log (/ 1 l)) (log (/ 1 V)))))
245.0ms	(exp (* -1/3 (+ (log (/ -1 V)) (log (/ -1 l)))))
239.0ms	(exp (* 1/3 (+ (log l) (log V))))

prune1.5s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.3b

regimes1.4s

Accuracy

49.5% (6.4b remaining)

Error of 12.5b against oracle of 6.1b and baseline of 18.8b

bsearch10.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	8696×	body	80	nan
867.0ms	8906×	body	80	valid