Details

Time bar (total: 24.7s)

sample99.0ms

Algorithm
intervals
Results
42.0ms285×body80nan
32.0ms287×body80valid

simplify23.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize12.0ms

Local error

Found 3 expressions with local error:

14.2b
(sqrt (/ A (* V l)))
6.0b
(/ A (* V l))
1.4b
(* c0 (sqrt (/ A (* V l))))

rewrite37.0ms

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
21.0ms
(* c0 (sqrt (/ A (* V l))))
10.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
72.0ms
(* c0 (sqrt (/ A (* V l))))
53.0ms
(sqrt (/ A (* V l)))
31.0ms
(/ A (* V l))

simplify1.2s

Counts
51 → 78
Calls
51 calls:
Slowest
283.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
168.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
113.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
45.0ms
(- (log A) (log (* V l)))
32.0ms
(- (log A) (+ (log V) (log l)))

prune905.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.8b

localize15.0ms

Local error

Found 3 expressions with local error:

14.2b
(sqrt (* (/ 1 V) (/ A l)))
3.8b
(* (/ 1 V) (/ A l))
1.4b
(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite66.0ms

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
31.0ms
(* (/ 1 V) (/ A l))
22.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
11.0ms
(sqrt (* (/ 1 V) (/ A l)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
75.0ms
(sqrt (* (/ 1 V) (/ A l)))
63.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
27.0ms
(* (/ 1 V) (/ A l))

simplify3.9s

Counts
81 → 104
Calls
81 calls:
Slowest
441.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
371.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))))
235.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
181.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (/ (* (* A A) A) (* (* l l) l)))
170.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (* (* (/ A l) (/ A l)) (/ A l)))

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.3b

localize31.0ms

Local error

Found 3 expressions with local error:

14.2b
(sqrt (* (/ 1 V) (/ A l)))
3.8b
(* (/ 1 V) (/ A l))
1.4b
(* (sqrt (* (/ 1 V) (/ A l))) c0)

rewrite69.0ms

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
30.0ms
(* (sqrt (* (/ 1 V) (/ A l))) c0)
25.0ms
(* (/ 1 V) (/ A l))
11.0ms
(sqrt (* (/ 1 V) (/ A l)))

series245.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
143.0ms
(* (sqrt (* (/ 1 V) (/ A l))) c0)
69.0ms
(sqrt (* (/ 1 V) (/ A l)))
33.0ms
(* (/ 1 V) (/ A l))

simplify3.9s

Counts
80 → 104
Calls
80 calls:
Slowest
420.0ms
(* (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))) (* (* c0 c0) c0))
404.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
212.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
178.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (/ (* (* A A) A) (* (* l l) l)))
161.0ms
(+ (- 0 (log V)) (- (log A) (log l)))

prune1.2s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.3b

localize42.0ms

Local error

Found 4 expressions with local error:

14.2b
(sqrt (* (/ 1 V) (/ A l)))
14.2b
(sqrt (* (/ 1 V) (/ A l)))
3.8b
(* (/ 1 V) (/ A l))
3.8b
(* (/ 1 V) (/ A l))

rewrite56.0ms

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
28.0ms
(* (/ 1 V) (/ A l))
12.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
80.0ms
(sqrt (* (/ 1 V) (/ A l)))
73.0ms
(sqrt (* (/ 1 V) (/ A l)))
33.0ms
(* (/ 1 V) (/ A l))
32.0ms
(* (/ 1 V) (/ A l))

simplify5.6s

Counts
128 → 156
Calls
128 calls:
Slowest
476.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
432.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
264.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
192.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
161.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (/ (* (* A A) A) (* (* l l) l)))

prune2.2s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 3.2b

regimes830.0ms

Accuracy

39.4% (8.5b remaining)

Error of 12.9b against oracle of 4.4b and baseline of 18.4b

bsearch9.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.3s8878×body80valid
913.0ms8786×body80nan