Details

Time bar (total: 51.1s)

sample205.0ms

Algorithm
intervals
Results
148.0ms505×body80valid

simplify214.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
214.0ms
(- (- (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize58.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (* (* (* x 18.0) y) z) t)
3.8b
(* (* (* x 18.0) y) z)
0.2b
(* (* x 18.0) y)
0.2b
(* (* j 27.0) k)

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-cbrt-cube add-exp-log
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*l* *-commutative insert-posit16 add-log-exp
Counts
4 → 85
Calls
4 calls:
Slowest
222.0ms
(* (* (* (* x 18.0) y) z) t)
57.0ms
(* (* (* x 18.0) y) z)
27.0ms
(* (* j 27.0) k)
14.0ms
(* (* x 18.0) y)

series167.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
60.0ms
(* (* (* (* x 18.0) y) z) t)
48.0ms
(* (* (* x 18.0) y) z)
37.0ms
(* (* x 18.0) y)
22.0ms
(* (* j 27.0) k)

simplify7.8s

Counts
55 → 97
Calls
55 calls:
Slowest
585.0ms
(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
460.0ms
(* (* (* (* x 18.0) (* x 18.0)) (* x 18.0)) (* (* y y) y))
451.0ms
(* (* (* (* x x) x) (* (* 18.0 18.0) 18.0)) (* (* y y) y))
412.0ms
(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))
374.0ms
(* (* (* (* (* (* x x) x) (* (* 18.0 18.0) 18.0)) (* (* y y) y)) (* (* z z) z)) (* (* t t) t))

prune2.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize73.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (* (* x (* 18.0 y)) z) t)
3.8b
(* (* x (* 18.0 y)) z)
0.5b
(* x (* 18.0 y))
0.2b
(* (* j 27.0) k)

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-cbrt-cube add-exp-log
22×pow-prod-down prod-exp cbrt-unprod
10×associate-*r*
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*l*
*-commutative insert-posit16 add-log-exp
Counts
4 → 85
Calls
4 calls:
Slowest
166.0ms
(* (* (* x (* 18.0 y)) z) t)
49.0ms
(* (* x (* 18.0 y)) z)
17.0ms
(* x (* 18.0 y))
14.0ms
(* (* j 27.0) k)

series176.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
68.0ms
(* (* (* x (* 18.0 y)) z) t)
42.0ms
(* x (* 18.0 y))
36.0ms
(* (* j 27.0) k)
30.0ms
(* (* x (* 18.0 y)) z)

simplify8.0s

Counts
54 → 97
Calls
54 calls:
Slowest
537.0ms
(* (* (* x x) x) (* (* (* 18.0 y) (* 18.0 y)) (* 18.0 y)))
500.0ms
(* (* (* (* j 27.0) (* j 27.0)) (* j 27.0)) (* (* k k) k))
459.0ms
(* (* (* (* j j) j) (* (* 27.0 27.0) 27.0)) (* (* k k) k))
450.0ms
(* (* (* x x) x) (* (* (* 18.0 18.0) 18.0) (* (* y y) y)))
395.0ms
(* (* (* (* (* x x) x) (* (* (* 18.0 y) (* 18.0 y)) (* 18.0 y))) (* (* z z) z)) (* (* t t) t))

prune2.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize87.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (* (* x (* 18.0 y)) z) t)
3.8b
(* (* x (* 18.0 y)) z)
0.5b
(* x (* 18.0 y))
0.2b
(* 27.0 (* j k))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-cbrt-cube add-exp-log
22×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt *-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
*-commutative insert-posit16 add-log-exp
Counts
4 → 85
Calls
4 calls:
Slowest
129.0ms
(* (* (* x (* 18.0 y)) z) t)
46.0ms
(* (* x (* 18.0 y)) z)
25.0ms
(* 27.0 (* j k))
25.0ms
(* x (* 18.0 y))

series182.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
76.0ms
(* (* (* x (* 18.0 y)) z) t)
40.0ms
(* 27.0 (* j k))
35.0ms
(* x (* 18.0 y))
30.0ms
(* (* x (* 18.0 y)) z)

simplify8.5s

Counts
54 → 97
Calls
54 calls:
Slowest
727.0ms
(* (* (* (* (* x x) x) (* (* (* 18.0 18.0) 18.0) (* (* y y) y))) (* (* z z) z)) (* (* t t) t))
548.0ms
(* (* (* 27.0 27.0) 27.0) (* (* (* j k) (* j k)) (* j k)))
473.0ms
(* (* (* x x) x) (* (* (* 18.0 y) (* 18.0 y)) (* 18.0 y)))
447.0ms
(* (* (* x x) x) (* (* (* 18.0 18.0) 18.0) (* (* y y) y)))
394.0ms
(* (* (* 27.0 27.0) 27.0) (* (* (* j j) j) (* (* k k) k)))

prune2.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize76.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (* (* x (* 18.0 y)) z) t)
3.8b
(* (* x (* 18.0 y)) z)
0.6b
(cbrt k)
0.6b
(cbrt k)

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-cbrt-cube add-exp-log
16×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
cbrt-prod associate-*r*
insert-posit16 add-log-exp
pow1/3 associate-*l* *-commutative
Counts
4 → 71
Calls
4 calls:
Slowest
131.0ms
(* (* (* x (* 18.0 y)) z) t)
66.0ms
(* (* x (* 18.0 y)) z)
1.0ms
(cbrt k)
1.0ms
(cbrt k)

series652.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
309.0ms
(cbrt k)
255.0ms
(cbrt k)
57.0ms
(* (* (* x (* 18.0 y)) z) t)
31.0ms
(* (* x (* 18.0 y)) z)

simplify5.7s

Counts
44 → 83
Calls
44 calls:
Slowest
352.0ms
(* (* (* (* (* x (* 18.0 y)) (* x (* 18.0 y))) (* x (* 18.0 y))) (* (* z z) z)) (* (* t t) t))
343.0ms
(+ (+ (+ (log x) (+ (log 18.0) (log y))) (log z)) (log t))
331.0ms
(+ (+ (log (* x (* 18.0 y))) (log z)) (log t))
330.0ms
(+ (+ (+ (log x) (log (* 18.0 y))) (log z)) (log t))
329.0ms
(* (* (* (* (* x x) x) (* (* (* 18.0 18.0) 18.0) (* (* y y) y))) (* (* z z) z)) (* (* t t) t))

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

regimes2.4s

Accuracy

43.5% (2.2b remaining)

Error of 3.3b against oracle of 1.1b and baseline of 5.0b

bsearch404.0ms

end0.0ms

sample6.4s

Algorithm
intervals
Results
4.9s16393×body80valid