Details

sample76.0ms

Algorithm

intervals

Results

26.0ms	298×	body	80	nan
25.0ms	290×	body	80	valid

simplify28.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

28.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize23.0ms

Local error

Found 3 expressions with local error:

14.4b	(sqrt (/ A (* V l)))
7.0b	(/ A (* V l))
1.2b	(* c0 (sqrt (/ A (* V l))))

rewrite33.0ms

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×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 75

Calls

3 calls:

Slowest

21.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

62.0ms	(* c0 (sqrt (/ A (* V l))))
45.0ms	(sqrt (/ A (* V l)))
20.0ms	(/ A (* V l))

simplify1.2s

Counts

51 → 84

Calls

51 calls:

Slowest

311.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
172.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
115.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
43.0ms	(- (log A) (log (* V l)))
36.0ms	(* (sqrt c0) (sqrt (sqrt (/ A (* V l)))))

prune972.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.4b

localize43.0ms

Local error

Found 4 expressions with local error:

14.4b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
4.1b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
1.2b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
0.6b	(cbrt A)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-exp-log`
26×	`associate-r`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`cbrt-prod`
11×	`pow1`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`sqrt-div` `associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-*l/`
2×	`sqrt-pow1` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2` `pow1/3`

Counts

4 → 118

Calls

4 calls:

Slowest

81.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
41.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
27.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
1.0ms	(cbrt A)

series542.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

300.0ms	(cbrt A)
88.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
81.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
73.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))

simplify6.5s

Counts

91 → 130

Calls

91 calls:

Slowest

526.0ms	(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
498.0ms	(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (log (/ (cbrt A) l)))
497.0ms	(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))
460.0ms	(+ (- (log (* (cbrt A) (cbrt A))) (log V)) (log (/ (cbrt A) l)))
350.0ms	(+ (log (/ (* (cbrt A) (cbrt A)) V)) (log (/ (cbrt A) l)))

prune1.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.6b

localize46.0ms

Local error

Found 4 expressions with local error:

14.4b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
14.4b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
4.1b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
4.1b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
56×	`times-frac`
46×	`add-exp-log`
44×	`associate-r`
34×	`*-un-lft-identity` `add-cube-cbrt`
32×	`add-cbrt-cube`
22×	`cbrt-prod`
16×	`prod-exp` `cbrt-unprod`
14×	`pow1` `cbrt-undiv` `div-exp` `associate-l`
12×	`unswap-sqr`
6×	`sqrt-div`
4×	`expm1-log1p-u` `frac-times` `sqrt-pow1` `pow-prod-down` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow1/2` `*-commutative` `sqrt-prod`

Counts

4 → 158

Calls

4 calls:

Slowest

41.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
36.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
13.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

74.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
73.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
70.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
55.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))

simplify11.2s

Counts

136 → 170

Calls

136 calls:

Slowest

608.0ms	(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
538.0ms	(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
532.0ms	(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))
511.0ms	(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (log (/ (cbrt A) l)))
505.0ms	(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))

prune2.9s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.6b

localize25.0ms

Local error

Found 3 expressions with local error:

14.4b	(sqrt (/ (/ A V) l))
4.5b	(/ (/ A V) l)
1.2b	(* c0 (sqrt (/ (/ A V) l)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
134×	`add-sqr-sqrt`
117×	`*-un-lft-identity` `add-cube-cbrt`
89×	`sqrt-prod`
46×	`associate-r`
13×	`div-inv` `associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `cbrt-undiv` `rem-sqrt-square` `associate-/r` `div-exp` `associate-l*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-div`
1×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `associate-/l/`

Counts

3 → 200

Calls

3 calls:

Slowest

32.0ms	(* c0 (sqrt (/ (/ A V) l)))
15.0ms	(/ (/ A V) l)
8.0ms	(sqrt (/ (/ A V) l))

series166.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

76.0ms	(* c0 (sqrt (/ (/ A V) l)))
56.0ms	(sqrt (/ (/ A V) l))
34.0ms	(/ (/ A V) l)

simplify7.1s

Counts

212 → 209

Calls

212 calls:

Slowest

645.0ms	(/ (/ (* (* A A) A) (* (* V V) V)) (* (* l l) l))
407.0ms	(/ (* (* (/ A V) (/ A V)) (/ A V)) (* (* l l) l))
362.0ms	(sqrt (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt l) (cbrt l))))
354.0ms	(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt l) (cbrt l)))
275.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ (/ A V) l)) (sqrt (/ (/ A V) l))) (sqrt (/ (/ A V) l))))

prune2.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.0b

regimes855.0ms

Accuracy

0% (1.0b remaining)

Error of 2.4b against oracle of 1.4b and baseline of 2.4b

bsearch2.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	9011×	body	80	nan
897.0ms	8873×	body	80	valid