Details

Time bar (total: 31.1s)

sample59.0ms

Algorithm
intervals
Results
24.0ms263×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
28833
325433
462333
5135533
6167233
7176633
8205633
9298233
done500133

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
29.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite384.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
27.0ms
(* (+ (* x y) z) y)
62.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
51.0ms
(* (+ (* (+ y a) y) b) y)
241.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series736.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ (* x y) z) y)
79.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
57.0ms
(* (+ (* (+ y a) y) b) y)
545.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01932457
15082417
218552183
done50002179

prune746.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 28.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.3b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.3b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite672.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×flip3-+ associate-*l/ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-/r/ cbrt-unprod add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 115
Calls
4 calls:
75.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
48.0ms
(* (+ (* (+ y a) y) b) y)
123.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
418.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series735.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
64.0ms
(* (+ (* (+ y a) y) b) y)
75.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
525.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.4s

Counts
127 → 127
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02073411
15553251
220072885
done50002881

prune686.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 28.9b

localize30.0ms

Local error

Found 4 expressions with local error:

2.9b
(cbrt (/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
29.4b
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.4b
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.4b
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite396.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
8×associate-/r/
7×flip3-+ flip-+
6×associate-/l/
4×pow1 div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 117
Calls
4 calls:
36.0ms
(cbrt (/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
134.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
114.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
110.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series5.1s

Counts
4 → 12
Calls
4 calls:
2.8s
(cbrt (/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
779.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
755.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
768.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.4s

Counts
129 → 129
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01676289
13536202
29775737
336375707
done50005688

prune1.4s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 28.9b

localize48.0ms

Local error

Found 4 expressions with local error:

21.7b
(cbrt (/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
22.0b
(cbrt (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))))
29.4b
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.4b
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite421.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod
39×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×cbrt-div
14×associate-/r/
11×flip3-+ flip-+
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
4×pow1 frac-times div-inv associate-/l/ add-log-exp
2×cbrt-undiv frac-2neg pow1/3 associate-*r/ div-exp associate-*l/ clear-num
Counts
4 → 119
Calls
4 calls:
56.0ms
(cbrt (/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
165.0ms
(cbrt (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))))
101.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
89.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series3.2s

Counts
4 → 12
Calls
4 calls:
1.5s
(cbrt (/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
276.0ms
(cbrt (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))))
713.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
733.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.9s

Counts
131 → 131
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02707021
15016933
212196522
341286417
done50016406

prune1.3s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 28.9b

regimes1.0s

Accuracy

74.4% (0.3b remaining)

Error of 28.3b against oracle of 28.0b and baseline of 29.2b

bsearch5.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03372
15072
done5072

end0.0ms

sample1.4s

Algorithm
intervals
Results
694.0ms8241×body80valid