Details

Time bar (total: 56.1s)

sample85.0ms

Algorithm
intervals
Results
33.0ms284×body80nan
27.0ms294×body80valid

simplify23.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
23.0ms
(* c0 (sqrt (/ A (* V l))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.4b

localize25.0ms

Local error

Found 3 expressions with local error:

14.8b
(sqrt (/ A (* V l)))
5.8b
(/ A (* V l))
2.0b
(* c0 (sqrt (/ A (* V l))))

rewrite67.0ms

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
33.0ms
(* c0 (sqrt (/ A (* V l))))
23.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
60.0ms
(* c0 (sqrt (/ A (* V l))))
54.0ms
(sqrt (/ A (* V l)))
35.0ms
(/ A (* V l))

simplify2.8s

Counts
89 → 78
Calls
89 calls:
Slowest
392.0ms
(* (* (/ A (* V l)) (/ A (* V l))) (/ A (* V l)))
363.0ms
(* (* (* c0 (sqrt (/ A (* V l)))) (* c0 (sqrt (/ A (* V l))))) (* c0 (sqrt (/ A (* V l)))))
273.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
137.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
133.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))

prune886.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.4b

localize23.0ms

Local error

Found 4 expressions with local error:

14.8b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
3.8b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
2.0b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
0.6b
(cbrt A)

rewrite140.0ms

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
85.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
34.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
1.0ms
(cbrt A)

series534.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
285.0ms
(cbrt A)
124.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
69.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
55.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify16.4s

Counts
133 → 122
Calls
133 calls:
Slowest
663.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt 1) (* (cbrt l) (cbrt l))))
564.0ms
(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
527.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))
506.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (log (/ (cbrt A) l)))
424.0ms
(+ (- (log (* (cbrt A) (cbrt A))) (log V)) (log (/ (cbrt A) l)))

prune1.6s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 5.8b

localize30.0ms

Local error

Found 3 expressions with local error:

14.8b
(sqrt (* (/ 1 V) (/ A l)))
4.4b
(* (/ 1 V) (/ A l))
2.0b
(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite82.0ms

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
43.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
26.0ms
(* (/ 1 V) (/ A l))
12.0ms
(sqrt (* (/ 1 V) (/ A l)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
91.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
60.0ms
(sqrt (* (/ 1 V) (/ A l)))
29.0ms
(* (/ 1 V) (/ A l))

simplify10.4s

Counts
113 → 104
Calls
113 calls:
Slowest
957.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
547.0ms
(* (* (* (/ 1 V) (/ A l)) (* (/ 1 V) (/ A l))) (* (/ 1 V) (/ A l)))
487.0ms
(* (/ 1 V) (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))))
465.0ms
(* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l))))
447.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))))

prune1.2s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 5.8b

localize24.0ms

Local error

Found 4 expressions with local error:

14.8b
(sqrt (* (/ 1 V) (/ A l)))
14.8b
(sqrt (* (/ 1 V) (/ A l)))
4.4b
(* (/ 1 V) (/ A l))
4.4b
(* (/ 1 V) (/ A l))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
50×times-frac
48×add-exp-log
36×*-un-lft-identity
32×add-cube-cbrt
28×add-cbrt-cube
26×associate-*r* associate-*l*
16×div-exp prod-exp
14×pow1
12×unswap-sqr
8×cbrt-undiv cbrt-unprod
6×sqrt-div
4×frac-times rec-exp sqrt-pow1 1-exp pow-prod-down associate-*l/ associate-*r/ insert-posit16 div-inv add-log-exp
2×pow1/2 *-commutative sqrt-prod
Counts
4 → 144
Calls
4 calls:
Slowest
20.0ms
(* (/ 1 V) (/ A l))
18.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series213.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
81.0ms
(sqrt (* (/ 1 V) (/ A l)))
71.0ms
(sqrt (* (/ 1 V) (/ A l)))
31.0ms
(* (/ 1 V) (/ A l))
30.0ms
(* (/ 1 V) (/ A l))

simplify14.7s

Counts
174 → 156
Calls
174 calls:
Slowest
551.0ms
(* (* (* (/ 1 V) (/ A l)) (* (/ 1 V) (/ A l))) (* (/ 1 V) (/ A l)))
550.0ms
(* (* (* (/ 1 V) (/ A l)) (* (/ 1 V) (/ A l))) (* (/ 1 V) (/ A l)))
510.0ms
(* (/ 1 V) (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))))
504.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
487.0ms
(* (/ 1 V) (/ (* (cbrt A) (cbrt A)) (* (cbrt l) (cbrt l))))

prune2.3s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 5.8b

regimes1.3s

Accuracy

47.2% (7.9b remaining)

Error of 12.3b against oracle of 4.4b and baseline of 19.4b

bsearch15.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.4s9120×body80nan
858.0ms8897×body80valid