Details

Time bar (total: 1.3m)

sample109.0ms

Algorithm
intervals
Results
44.0ms295×body80nan
33.0ms288×body80valid

simplify30.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
30.0ms
(* c0 (sqrt (/ A (* V l))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

localize23.0ms

Local error

Found 3 expressions with local error:

17.2b
(sqrt (/ A (* V l)))
4.8b
(/ A (* V l))
1.5b
(* c0 (sqrt (/ A (* V l))))

rewrite52.0ms

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
37.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
84.0ms
(* c0 (sqrt (/ A (* V l))))
46.0ms
(sqrt (/ A (* V l)))
24.0ms
(/ A (* V l))

simplify1.3s

Counts
51 → 78
Calls
51 calls:
Slowest
287.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
216.0ms
(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
128.0ms
(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
57.0ms
(- (log A) (log (* V l)))
55.0ms
(- (log A) (+ (log V) (log l)))

prune943.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.2b

localize16.0ms

Local error

Found 3 expressions with local error:

17.2b
(sqrt (* (/ 1 V) (/ A l)))
3.9b
(* (/ 1 V) (/ A l))
1.5b
(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite76.0ms

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
46.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
21.0ms
(* (/ 1 V) (/ A l))
7.0ms
(sqrt (* (/ 1 V) (/ A l)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
91.0ms
(sqrt (* (/ 1 V) (/ A l)))
72.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
21.0ms
(* (/ 1 V) (/ A l))

simplify3.8s

Counts
81 → 104
Calls
81 calls:
Slowest
397.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (* (* (/ A l) (/ A l)) (/ A l)))
342.0ms
(* (* (* c0 c0) c0) (* (* (sqrt (* (/ 1 V) (/ A l))) (sqrt (* (/ 1 V) (/ A l)))) (sqrt (* (/ 1 V) (/ A l)))))
237.0ms
(* (/ (* (* 1 1) 1) (* (* V V) V)) (/ (* (* A A) A) (* (* l l) l)))
163.0ms
(* (* (* (/ 1 V) (/ 1 V)) (/ 1 V)) (/ (* (* A A) A) (* (* l l) l)))
139.0ms
(sqrt (sqrt (* (/ 1 V) (/ A l))))

prune1.3s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.6b

localize41.0ms

Local error

Found 4 expressions with local error:

17.2b
(sqrt (* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l))))
3.5b
(* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l)))
1.5b
(* c0 (sqrt (* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l)))))
0.5b
(cbrt l)

rewrite694.0ms

Algorithm
rewrite-expression-head
Rules
261×add-exp-log
139×prod-exp
89×div-exp
56×add-cbrt-cube
31×cbrt-unprod
30×rec-exp 1-exp
26×associate-*r*
22×add-sqr-sqrt
21×cbrt-undiv
20×*-un-lft-identity add-cube-cbrt
18×frac-times times-frac sqrt-div associate-*l/ associate-*r/
17×pow1
12×cbrt-prod
7×pow-prod-down
6×un-div-inv
4×associate-*l* insert-posit16 add-log-exp
3×sqrt-pow1
2×*-commutative sqrt-prod
1×pow1/2 pow1/3 div-inv unswap-sqr
Counts
4 → 178
Calls
4 calls:
Slowest
407.0ms
(* c0 (sqrt (* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l)))))
142.0ms
(sqrt (* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l))))
139.0ms
(* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l)))
1.0ms
(cbrt l)

series548.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
286.0ms
(cbrt l)
131.0ms
(* c0 (sqrt (* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l)))))
76.0ms
(sqrt (* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l))))
54.0ms
(* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l)))

simplify29.1s

Counts
158 → 190
Calls
158 calls:
Slowest
643.0ms
(+ (+ (- 0 (log V)) (- (+ (log (cbrt l)) (log (cbrt l))))) (- (log A) (log (cbrt l))))
591.0ms
(+ (+ (- (log 1) (log V)) (log (/ 1 (* (cbrt l) (cbrt l))))) (log (/ A (cbrt l))))
576.0ms
(* c0 (sqrt (* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l)))))
520.0ms
(* (sqrt c0) (sqrt (sqrt (* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l))))))
515.0ms
(* (* (/ 1 V) (/ 1 (* (cbrt l) (cbrt l)))) (/ A (cbrt l)))

prune2.5s

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 3.8b

localize26.0ms

Local error

Found 4 expressions with local error:

14.4b
(sqrt (/ (/ A V) (cbrt l)))
2.0b
(/ (/ A V) (cbrt l))
1.5b
(* c0 (/ (sqrt (/ (/ A V) (cbrt l))) (sqrt (* (cbrt l) (cbrt l)))))
0.5b
(cbrt l)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
1171×times-frac
573×add-sqr-sqrt
518×*-un-lft-identity add-cube-cbrt
511×sqrt-prod
344×associate-*r*
246×cbrt-prod
44×div-inv
14×add-exp-log
13×associate-/l* unswap-sqr
12×add-cbrt-cube
7×pow1
6×associate-/r*
5×rem-sqrt-square
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod
1×clear-num frac-2neg sqrt-pow1 pow1/2 pow1/3 sqrt-div pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
4 → 598
Calls
4 calls:
Slowest
50.0ms
(* c0 (/ (sqrt (/ (/ A V) (cbrt l))) (sqrt (* (cbrt l) (cbrt l)))))
8.0ms
(/ (/ A V) (cbrt l))
5.0ms
(sqrt (/ (/ A V) (cbrt l)))
1.0ms
(cbrt l)

series712.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
336.0ms
(cbrt l)
165.0ms
(sqrt (/ (/ A V) (cbrt l)))
111.0ms
(/ (/ A V) (cbrt l))
100.0ms
(* c0 (/ (sqrt (/ (/ A V) (cbrt l))) (sqrt (* (cbrt l) (cbrt l)))))

simplify23.2s

Counts
659 → 610
Calls
659 calls:
Slowest
442.0ms
(* (sqrt c0) (/ (sqrt (/ (sqrt (/ A V)) (sqrt (cbrt l)))) (sqrt (cbrt l))))
343.0ms
(sqrt (/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt (cbrt l)) (cbrt (cbrt l)))))
339.0ms
(* (* (* c0 c0) c0) (* (* (/ (sqrt (/ (/ A V) (cbrt l))) (sqrt (* (cbrt l) (cbrt l)))) (/ (sqrt (/ (/ A V) (cbrt l))) (sqrt (* (cbrt l) (cbrt l))))) (/ (sqrt (/ (/ A V) (cbrt l))) (sqrt (* (cbrt l) (cbrt l))))))
329.0ms
(/ (/ (* (cbrt A) (cbrt A)) (* (cbrt V) (cbrt V))) (* (cbrt (cbrt l)) (cbrt (cbrt l))))
321.0ms
(/ (* (* (/ A V) (/ A V)) (/ A V)) l)

prune9.4s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (1.8b remaining)

Error of 2.3b against oracle of 0.4b and baseline of 2.3b

bsearch5.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.2s8914×body80valid
870.0ms9081×body80nan