Details

Time bar (total: 25.8s)

sample90.0ms

Algorithm
intervals
Results
38.0ms263×body80nan
32.0ms290×body80valid

simplify15.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
15.0ms
(* c0 (sqrt (/ A (* V l))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize11.0ms

Local error

Found 3 expressions with local error:

15.1b
(sqrt (/ A (* V l)))
5.0b
(/ A (* V l))
1.3b
(* c0 (sqrt (/ A (* V l))))

rewrite56.0ms

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
40.0ms
(* c0 (sqrt (/ A (* V l))))
9.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
83.0ms
(* c0 (sqrt (/ A (* V l))))
52.0ms
(sqrt (/ A (* V l)))
33.0ms
(/ A (* V l))

simplify1.3s

Counts
51 → 78
Calls
51 calls:
Slowest
309.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
171.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
115.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
53.0ms
(- (log A) (+ (log V) (log l)))
38.0ms
(* (sqrt c0) (sqrt (sqrt (/ A (* V l)))))

prune918.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.1b

localize27.0ms

Local error

Found 3 expressions with local error:

15.1b
(sqrt (* (/ 1 V) (/ A l)))
4.0b
(* (/ 1 V) (/ A l))
1.3b
(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite60.0ms

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
26.0ms
(* (/ 1 V) (/ A l))
21.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(sqrt (* (/ 1 V) (/ A l)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
84.0ms
(sqrt (* (/ 1 V) (/ A l)))
62.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
24.0ms
(* (/ 1 V) (/ A l))

simplify3.8s

Counts
81 → 104
Calls
81 calls:
Slowest
418.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))))
392.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
188.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
136.0ms
(* (sqrt c0) (sqrt (sqrt (* (/ 1 V) (/ A l)))))
133.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (/ (* (* A A) A) (* (* l l) l)))

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.6b

localize19.0ms

Local error

Found 3 expressions with local error:

15.1b
(sqrt (* (/ 1 V) (/ A l)))
4.0b
(* (/ 1 V) (/ A l))
1.3b
(* (sqrt (* (/ 1 V) (/ A l))) c0)

rewrite84.0ms

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-*l*
16×associate-*r*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*l/
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*r/ 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
45.0ms
(* (sqrt (* (/ 1 V) (/ A l))) c0)
26.0ms
(* (/ 1 V) (/ A l))
12.0ms
(sqrt (* (/ 1 V) (/ A l)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
118.0ms
(* (sqrt (* (/ 1 V) (/ A l))) c0)
68.0ms
(sqrt (* (/ 1 V) (/ A l)))
20.0ms
(* (/ 1 V) (/ A l))

simplify4.0s

Counts
80 → 104
Calls
80 calls:
Slowest
422.0ms
(* (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))) (* (* c0 c0) c0))
378.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
293.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
175.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (/ (* (* A A) A) (* (* l l) l)))
129.0ms
(+ (- (log 1) (log V)) (- (log A) (log l)))

prune1.1s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.6b

localize42.0ms

Local error

Found 4 expressions with local error:

15.1b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
3.8b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
1.3b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
0.6b
(cbrt A)

rewrite142.0ms

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
71.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
40.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
29.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
1.0ms
(cbrt A)

series525.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
280.0ms
(cbrt A)
117.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
79.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
48.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))

simplify6.5s

Counts
91 → 122
Calls
91 calls:
Slowest
493.0ms
(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
484.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))
476.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (log (/ (cbrt A) l)))
447.0ms
(+ (log (/ (* (cbrt A) (cbrt A)) V)) (- (log (cbrt A)) (log l)))
401.0ms
(+ (- (log (* (cbrt A) (cbrt A))) (log V)) (log (/ (cbrt A) l)))

prune1.4s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 4.6b

regimes1.3s

Accuracy

33.6% (9.1b remaining)

Error of 13.6b against oracle of 4.5b and baseline of 18.2b

bsearch6.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.2s8834×body80nan
901.0ms8855×body80valid