Details

sample80.0ms

Algorithm

intervals

Results

30.0ms	279×	body	80	valid
28.0ms	264×	body	80	nan

simplify30.0ms

Calls

1 calls:

Slowest

30.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize41.0ms

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))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`sqrt-prod`
7×	`add-sqr-sqrt` `associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `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))

series163.0ms

Calls

3 calls:

Slowest

74.0ms	(* c0 (sqrt (/ A (* V l))))
55.0ms	(sqrt (/ A (* V l)))
34.0ms	(/ A (* V l))

simplify216.0ms

Calls

23 calls:

Slowest

26.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
23.0ms	(sqrt (/ 1 (* V l)))
18.0ms	(/ A (* l V))
17.0ms	(sqrt (/ A (* V l)))
17.0ms	(cbrt (sqrt (/ A (* V l))))

prune585.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.2b

localize8.0ms

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))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `pow1/2` `sqrt-div`

Calls

4 calls:

Slowest

1.0ms	(sqrt (/ A (* V l)))
1.0ms	(sqrt (/ A (* V l)))
0.0ms	(/ A (* V l))
0.0ms	(/ A (* V l))

series134.0ms

Calls

4 calls:

Slowest

45.0ms	(sqrt (/ A (* V l)))
34.0ms	(sqrt (/ A (* V l)))
28.0ms	(/ A (* V l))
27.0ms	(/ A (* V l))

simplify191.0ms

Calls

24 calls:

Slowest

22.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
22.0ms	(sqrt (/ A (* V l)))
17.0ms	(sqrt (sqrt (/ A (* V l))))
17.0ms	(sqrt (/ A (* V l)))
15.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))

prune972.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.2b

localize26.0ms

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)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
1×	`rem-sqrt-square` `pow1/2` `sqrt-div`

Calls

4 calls:

Slowest

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

series386.0ms

Calls

4 calls:

Slowest

128.0ms	(cbrt (/ A (* V l)))
116.0ms	(cbrt (/ A (* V l)))
101.0ms	(cbrt (/ A (* V l)))
41.0ms	(sqrt (/ A (* V l)))

simplify2.9s

Calls

33 calls:

Slowest

746.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
365.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
339.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
272.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))
241.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))

prune1.5s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.2b

localize20.0ms

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)))
13.6b	(cbrt (* V l))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`cbrt-div`
1×	`rem-sqrt-square` `pow1/2` `sqrt-div`

Calls

4 calls:

Slowest

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

series405.0ms

Calls

4 calls:

Slowest

127.0ms	(cbrt (/ A (* V l)))
113.0ms	(cbrt (* V l))
110.0ms	(cbrt (/ A (* V l)))
56.0ms	(sqrt (/ A (* V l)))

simplify2.2s

Calls

29 calls:

Slowest

364.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
357.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
287.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))
267.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))
221.0ms	(exp (* -1/3 (+ (log (/ 1 l)) (log (/ 1 V)))))

prune1.3s

Pruning

14 alts after pruning (12 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

bsearch9.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

927.0ms	8920×	body	80	valid
823.0ms	8684×	body	80	nan