Details

sample91.0ms

Algorithm

intervals

Results

40.0ms	279×	body	80	valid
28.0ms	264×	body	80	nan

simplify23.0ms

Calls

1 calls:

Slowest

23.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize12.0ms

Local error

Found 3 expressions with local error:

16.2b	(sqrt (/ A (* V l)))
4.6b	(/ A (* V l))
1.3b	(* c0 (sqrt (/ A (* V l))))

rewrite35.0ms

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`

Calls

3 calls:

Slowest

23.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series164.0ms

Calls

3 calls:

Slowest

86.0ms	(* c0 (sqrt (/ A (* V l))))
45.0ms	(sqrt (/ A (* V l)))
33.0ms	(/ A (* V l))

simplify1.3s

Calls

51 calls:

Slowest

287.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
168.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
110.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
63.0ms	(- (log A) (log (* V l)))
41.0ms	(- (log A) (+ (log V) (log l)))

prune812.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.0b

localize26.0ms

Local error

Found 4 expressions with local error:

16.2b	(sqrt (/ A (* V l)))
16.2b	(sqrt (/ A (* V l)))
4.6b	(/ A (* V l))
4.6b	(/ A (* V l))

rewrite36.0ms

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`

Calls

4 calls:

Slowest

12.0ms	(/ A (* V l))
9.0ms	(sqrt (/ A (* V l)))
8.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series139.0ms

Calls

4 calls:

Slowest

54.0ms	(sqrt (/ A (* V l)))
35.0ms	(sqrt (/ A (* V l)))
30.0ms	(/ A (* V l))
21.0ms	(/ A (* V l))

simplify1.2s

Calls

56 calls:

Slowest

169.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
159.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
139.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
128.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
65.0ms	(- (log A) (+ (log V) (log l)))

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.0b

localize46.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (/ A (* V l)))
18.4b	(cbrt (/ A (* V l)))
18.4b	(cbrt (/ A (* V l)))
16.2b	(sqrt (/ A (* V l)))

rewrite21.0ms

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`

Calls

4 calls:

Slowest

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

series403.0ms

Calls

4 calls:

Slowest

122.0ms	(cbrt (/ A (* V l)))
117.0ms	(cbrt (/ A (* V l)))
116.0ms	(cbrt (/ A (* V l)))
48.0ms	(sqrt (/ A (* V l)))

simplify2.9s

Calls

46 calls:

Slowest

388.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
383.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
366.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
255.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))
255.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.0b

localize28.0ms

Local error

Found 4 expressions with local error:

16.2b	(sqrt (/ 1 (/ (* V l) A)))
16.2b	(sqrt (/ A (* V l)))
4.6b	(/ (* V l) A)
4.6b	(/ A (* V l))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

41×	`times-frac`
33×	`sqrt-prod`
29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
7×	`pow1` `div-inv`
4×	`cbrt-undiv` `rem-sqrt-square` `associate-/r` `sqrt-pow1` `div-exp` `insert-posit16` `associate-/l` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod`
1×	`associate-/r/` `pow-flip` `inv-pow`

Calls

4 calls:

Slowest

18.0ms	(/ (* V l) A)
7.0ms	(/ A (* V l))
6.0ms	(sqrt (/ 1 (/ (* V l) A)))
5.0ms	(sqrt (/ A (* V l)))

series175.0ms

Calls

4 calls:

Slowest

63.0ms	(sqrt (/ 1 (/ (* V l) A)))
56.0ms	(sqrt (/ A (* V l)))
35.0ms	(/ (* V l) A)
21.0ms	(/ A (* V l))

simplify2.6s

Calls

79 calls:

Slowest

185.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
158.0ms	(/ (* (* (* V l) (* V l)) (* V l)) (* (* A A) A))
139.0ms	(/ (* (* (* V V) V) (* (* l l) l)) (* (* A A) A))
121.0ms	(sqrt (sqrt (/ 1 (/ (* V l) A))))
116.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))

prune1.9s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 7.0b

regimes1.4s

Accuracy

46.2% (6.6b remaining)

Error of 13.1b against oracle of 6.5b and baseline of 18.8b

bsearch13.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

936.0ms	8920×	body	80	valid
917.0ms	8684×	body	80	nan