Details

Time bar (total: 21.9s)

sample66.0ms

Algorithm
intervals
Results
22.0ms284×body80valid
21.0ms243×body80nan

simplify20.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
20.0ms
(* c0 (sqrt (/ A (* V l))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize12.0ms

Local error

Found 3 expressions with local error:

16.5b
(sqrt (/ A (* V l)))
4.5b
(/ A (* V l))
0.5b
(* c0 (sqrt (/ A (* V l))))

rewrite51.0ms

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
24.0ms
(/ A (* V l))
16.0ms
(* c0 (sqrt (/ A (* V l))))
10.0ms
(sqrt (/ A (* V l)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
56.0ms
(* c0 (sqrt (/ A (* V l))))
41.0ms
(sqrt (/ A (* V l)))
21.0ms
(/ A (* V l))

simplify1.3s

Counts
51 → 78
Calls
51 calls:
Slowest
282.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
190.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
143.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
50.0ms
(- (log A) (log (* V l)))
48.0ms
(- (log A) (+ (log V) (log l)))

prune741.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize27.0ms

Local error

Found 4 expressions with local error:

16.5b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
2.7b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×associate-*r*
21×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube
17×cbrt-prod
9×pow1
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×unswap-sqr
4×insert-posit16 add-log-exp
3×sqrt-div
2×frac-times sqrt-pow1 pow1/3 pow-prod-down associate-*l/ associate-*r/ div-inv
1×pow1/2 *-commutative sqrt-prod
Counts
4 → 99
Calls
4 calls:
Slowest
39.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
19.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series706.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
295.0ms
(cbrt A)
285.0ms
(cbrt A)
63.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
62.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify5.7s

Counts
80 → 111
Calls
80 calls:
Slowest
497.0ms
(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
427.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))
395.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (log (/ (cbrt A) l)))
390.0ms
(+ (log (/ (* (cbrt A) (cbrt A)) V)) (- (log (cbrt A)) (log l)))
369.0ms
(+ (log (/ (* (cbrt A) (cbrt A)) V)) (log (/ (cbrt A) l)))

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

localize18.0ms

Local error

Found 4 expressions with local error:

16.5b
(sqrt (/ A (* V l)))
16.5b
(sqrt (/ A (* V l)))
4.5b
(/ A (* V l))
4.5b
(/ A (* V l))

rewrite40.0ms

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
13.0ms
(/ A (* V l))
12.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))
5.0ms
(sqrt (/ A (* V l)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
44.0ms
(sqrt (/ A (* V l)))
41.0ms
(sqrt (/ A (* V l)))
28.0ms
(/ A (* V l))
22.0ms
(/ A (* V l))

simplify1.2s

Counts
56 → 94
Calls
56 calls:
Slowest
197.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
142.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
127.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
113.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
69.0ms
(- (log A) (+ (log V) (log l)))

prune1.2s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.6b

localize30.0ms

Local error

Found 3 expressions with local error:

16.5b
(sqrt (* (/ 1 V) (/ A l)))
4.9b
(* (/ 1 V) (/ A l))
0.5b
(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×add-cbrt-cube associate-*r*
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ insert-posit16 add-log-exp
2×rec-exp sqrt-pow1 1-exp *-commutative sqrt-prod div-inv
1×pow1/2
Counts
3 → 95
Calls
3 calls:
Slowest
44.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
31.0ms
(* (/ 1 V) (/ A l))
12.0ms
(sqrt (* (/ 1 V) (/ A l)))

series223.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
96.0ms
(sqrt (* (/ 1 V) (/ A l)))
93.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
34.0ms
(* (/ 1 V) (/ A l))

simplify4.0s

Counts
81 → 104
Calls
81 calls:
Slowest
419.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
412.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))))
261.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
155.0ms
(* (sqrt c0) (sqrt (sqrt (* (/ 1 V) (/ A l)))))
149.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (/ (* (* A A) A) (* (* l l) l)))

prune1.0s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 3.6b

regimes1.1s

Accuracy

46% (7.7b remaining)

Error of 12.3b against oracle of 4.6b and baseline of 18.9b

bsearch13.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
926.0ms8776×body80nan
836.0ms8902×body80valid