Details

sample64.0ms

Algorithm

intervals

Results

27.0ms	279×	body	80	valid
21.0ms	264×	body	80	nan

simplify26.0ms

Calls

1 calls:

Slowest

26.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize24.0ms

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))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`sqrt-prod`
7×	`add-sqr-sqrt` `associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`
2×	`sqrt-div`
1×	`rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `pow1/2` `associate-r/` `*-commutative`

Calls

3 calls:

Slowest

4.0ms	(* c0 (sqrt (/ A (* V l))))
2.0ms	(sqrt (/ A (* V l)))
1.0ms	(/ A (* V l))

series162.0ms

Calls

3 calls:

Slowest

67.0ms	(* c0 (sqrt (/ A (* V l))))
64.0ms	(sqrt (/ A (* V l)))
31.0ms	(/ A (* V l))

simplify264.0ms

Calls

23 calls:

Slowest

35.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
26.0ms	(sqrt (sqrt (/ A (* V l))))
26.0ms	(sqrt (cbrt (/ A (* V l))))
24.0ms	(cbrt (sqrt (/ A (* V l))))
21.0ms	(sqrt (sqrt (/ A (* V l))))

prune500.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.2b

localize13.0ms

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))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

5.0ms	(sqrt (/ A (* V l)))
2.0ms	(sqrt (/ A (* V l)))
1.0ms	(/ A (* V l))
1.0ms	(/ A (* V l))

series131.0ms

Calls

4 calls:

Slowest

53.0ms	(sqrt (/ A (* V l)))
33.0ms	(sqrt (/ A (* V l)))
22.0ms	(/ A (* V l))
21.0ms	(/ A (* V l))

simplify216.0ms

Calls

24 calls:

Slowest

22.0ms	(sqrt (/ A (* V l)))
20.0ms	(/ A (* l V))
20.0ms	(/ A (* l V))
20.0ms	(/ A (* l V))
20.0ms	(/ A (* l V))

prune914.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.2b

localize29.0ms

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)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
1×	`rem-sqrt-square` `pow1/2` `sqrt-div`

Calls

4 calls:

Slowest

1.0ms	(sqrt (/ A (* V l)))
1.0ms	(cbrt (/ A (* V l)))
1.0ms	(cbrt (/ A (* V l)))
1.0ms	(cbrt (/ A (* V l)))

series396.0ms

Calls

4 calls:

Slowest

113.0ms	(cbrt (/ A (* V l)))
113.0ms	(cbrt (/ A (* V l)))
111.0ms	(cbrt (/ A (* V l)))
59.0ms	(sqrt (/ A (* V l)))

simplify2.5s

Calls

33 calls:

Slowest

346.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
340.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
314.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
282.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))
262.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.2b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`
2×	`rem-sqrt-square` `cbrt-div` `pow1/2` `pow1/3` `sqrt-div`

Calls

4 calls:

Slowest

1.0ms	(cbrt (/ A (* V l)))
1.0ms	(sqrt (/ A (* V l)))
1.0ms	(sqrt (/ A (* V l)))
1.0ms	(cbrt (/ A (* V l)))

series292.0ms

Calls

4 calls:

Slowest

106.0ms	(cbrt (/ A (* V l)))
106.0ms	(cbrt (/ A (* V l)))
40.0ms	(sqrt (/ A (* V l)))
40.0ms	(sqrt (/ A (* V l)))

simplify1.6s

Calls

34 calls:

Slowest

340.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
325.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
230.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))
223.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))
154.0ms	(exp (* 1/3 (- (+ (log (/ 1 l)) (log (/ 1 V))) (log (/ 1 A)))))

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.2b

regimes1.3s

Accuracy

67.1% (2.8b remaining)

Error of 13.1b against oracle of 10.3b and baseline of 18.8b

bsearch5.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	8920×	body	80	valid
901.0ms	8684×	body	80	nan