Details

sample113.0ms

Algorithm

intervals

Results

48.0ms	287×	body	80	nan
34.0ms	284×	body	80	valid

simplify31.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

31.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize13.0ms

Local error

Found 3 expressions with local error:

14.1b	(sqrt (/ A (* V l)))
5.4b	(/ A (* V l))
1.4b	(* c0 (sqrt (/ A (* V l))))

rewrite45.0ms

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

32.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

62.0ms	(* c0 (sqrt (/ A (* V l))))
35.0ms	(sqrt (/ A (* V l)))
32.0ms	(/ A (* V l))

simplify1.3s

Counts

51 → 78

Calls

51 calls:

Slowest

268.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
169.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
165.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
61.0ms	(- (log A) (log (* V l)))
55.0ms	(- (log A) (+ (log V) (log l)))

prune916.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.9b

localize23.0ms

Local error

Found 4 expressions with local error:

14.1b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
4.6b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
1.4b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
0.6b	(cbrt A)

rewrite128.0ms

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×	`insert-posit16` `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 → 110

Calls

4 calls:

Slowest

55.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
47.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
21.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
2.0ms	(cbrt A)

series493.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

285.0ms	(cbrt A)
86.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
69.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
53.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))

simplify7.0s

Counts

91 → 122

Calls

91 calls:

Slowest

782.0ms	(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (log (/ (cbrt A) l)))
558.0ms	(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
438.0ms	(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))
410.0ms	(+ (- (log (* (cbrt A) (cbrt A))) (log V)) (log (/ (cbrt A) l)))
409.0ms	(+ (log (/ (* (cbrt A) (cbrt A)) V)) (- (log (cbrt A)) (log l)))

prune1.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.0b

localize45.0ms

Local error

Found 4 expressions with local error:

14.1b	(sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l))))
3.0b	(* (/ (cbrt A) V) (/ (cbrt A) l))
1.8b	(* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))
1.4b	(* c0 (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
48×	`times-frac`
36×	`add-exp-log`
34×	`*-un-lft-identity` `add-cube-cbrt`
31×	`associate-l`
27×	`cbrt-prod` `associate-r`
23×	`add-cbrt-cube`
19×	`pow1`
16×	`associate-*r/`
14×	`prod-exp` `cbrt-unprod`
10×	`unswap-sqr`
8×	`cbrt-undiv` `div-exp` `pow-prod-down`
6×	`sqrt-div`
4×	`frac-times` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `*-commutative`
2×	`sqrt-prod` `div-inv`
1×	`pow1/2`

Counts

4 → 144

Calls

4 calls:

Slowest

100.0ms	(* c0 (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))))
47.0ms	(* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))
36.0ms	(sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l))))
32.0ms	(* (/ (cbrt A) V) (/ (cbrt A) l))

series335.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

117.0ms	(* (/ (cbrt A) V) (/ (cbrt A) l))
93.0ms	(* c0 (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))))
74.0ms	(sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l))))
51.0ms	(* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))

simplify10.0s

Counts

125 → 156

Calls

125 calls:

Slowest

680.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l)))) (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l))))) (sqrt (* (cbrt A) (* (/ (cbrt A) V) (/ (cbrt A) l))))))
597.0ms	(* (pow (pow A 2) 1/3) (/ 1 (* l V)))
563.0ms	(* (* (* (/ (cbrt A) V) (/ (cbrt A) V)) (/ (cbrt A) V)) (* (* (/ (cbrt A) l) (/ (cbrt A) l)) (/ (cbrt A) l)))
504.0ms	(+ (log (cbrt A)) (+ (log (/ (cbrt A) V)) (- (log (cbrt A)) (log l))))
480.0ms	(* (/ A (* (* V V) V)) (* (* (/ (cbrt A) l) (/ (cbrt A) l)) (/ (cbrt A) l)))

prune2.1s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.0b

localize39.0ms

Local error

Found 4 expressions with local error:

14.1b	(sqrt (/ A (* V l)))
14.1b	(sqrt (/ A (* V l)))
5.4b	(/ A (* V l))
5.4b	(/ A (* V l))

rewrite30.0ms

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

11.0ms	(/ A (* V l))
7.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))
5.0ms	(sqrt (/ A (* V l)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

57.0ms	(sqrt (/ A (* V l)))
38.0ms	(sqrt (/ A (* V l)))
35.0ms	(/ A (* V l))
34.0ms	(/ A (* V l))

simplify1.3s

Counts

56 → 94

Calls

56 calls:

Slowest

224.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
178.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
149.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
122.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
48.0ms	(- (log A) (log (* V l)))

prune1.3s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 2.0b

regimes1.3s

Accuracy

30.9% (8.7b remaining)

Error of 13.0b against oracle of 4.3b and baseline of 16.9b

bsearch13.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	8917×	body	80	valid
906.0ms	8868×	body	80	nan