Details

Time bar (total: 27.5s)

sample74.0ms

Algorithm
intervals
Results
33.0ms263×body80nan
22.0ms290×body80valid

simplify32.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
32.0ms
(* c0 (sqrt (/ A (* V l))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize25.0ms

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))))

rewrite69.0ms

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
43.0ms
(* c0 (sqrt (/ A (* V l))))
14.0ms
(/ A (* V l))
12.0ms
(sqrt (/ A (* V l)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
64.0ms
(* c0 (sqrt (/ A (* V l))))
42.0ms
(sqrt (/ A (* V l)))
26.0ms
(/ A (* V l))

simplify1.3s

Counts
51 → 84
Calls
51 calls:
Slowest
294.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
156.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
142.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
56.0ms
(- (log A) (log (* V l)))
40.0ms
(- (log A) (+ (log V) (log l)))

prune942.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.1b

localize15.0ms

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))))

rewrite65.0ms

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×expm1-log1p-u frac-times pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp *-commutative sqrt-prod div-inv
1×pow1/2
Counts
3 → 101
Calls
3 calls:
Slowest
35.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
20.0ms
(* (/ 1 V) (/ A l))
8.0ms
(sqrt (* (/ 1 V) (/ A l)))

series172.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
74.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
60.0ms
(sqrt (* (/ 1 V) (/ A l)))
37.0ms
(* (/ 1 V) (/ A l))

simplify4.1s

Counts
81 → 110
Calls
81 calls:
Slowest
469.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))))
456.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
243.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
155.0ms
(* (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

localize15.0ms

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)

rewrite79.0ms

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×expm1-log1p-u frac-times pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp *-commutative sqrt-prod div-inv
1×pow1/2
Counts
3 → 101
Calls
3 calls:
Slowest
48.0ms
(* (sqrt (* (/ 1 V) (/ A l))) c0)
17.0ms
(* (/ 1 V) (/ A l))
13.0ms
(sqrt (* (/ 1 V) (/ A l)))

series237.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
129.0ms
(* (sqrt (* (/ 1 V) (/ A l))) c0)
83.0ms
(sqrt (* (/ 1 V) (/ A l)))
25.0ms
(* (/ 1 V) (/ A l))

simplify4.4s

Counts
80 → 110
Calls
80 calls:
Slowest
506.0ms
(* (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))) (* (* c0 c0) c0))
465.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
256.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
158.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (/ (* (* A A) A) (* (* l l) l)))
156.0ms
(* (sqrt (sqrt (* (/ 1 V) (/ A l)))) (sqrt c0))

prune1.3s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.6b

localize23.0ms

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×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
70.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
44.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
24.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
1.0ms
(cbrt A)

series516.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
263.0ms
(cbrt A)
126.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
70.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
57.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))

simplify6.9s

Counts
91 → 130
Calls
91 calls:
Slowest
513.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (- (log (cbrt A)) (log l)))
502.0ms
(* (/ (* A A) (* (* V V) V)) (/ A (* (* l l) l)))
433.0ms
(+ (- (log (* (cbrt A) (cbrt A))) (log V)) (log (/ (cbrt A) l)))
424.0ms
(+ (- (+ (log (cbrt A)) (log (cbrt A))) (log V)) (log (/ (cbrt A) l)))
357.0ms
(+ (log (/ (* (cbrt A) (cbrt A)) V)) (log (/ (cbrt A) l)))

prune1.6s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 4.6b

regimes2.0s

Accuracy

33.6% (9.1b remaining)

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

bsearch7.0ms

end0.0ms

sample2.2s

Algorithm
intervals
Results
902.0ms8834×body80nan
777.0ms8855×body80valid