Details

Time bar (total: 23.8s)

sample82.0ms

Algorithm
intervals
Results
57.0ms259×body80valid

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2001
62001
51788
4733
3264
288
141
026

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ y a) y) b) y)
29.9b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
12×add-cbrt-cube add-exp-log
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×insert-posit16 add-log-exp
3×associate-/r* pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 95
Calls
4 calls:
55.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.0ms
(* (+ (* x y) z) y)
33.0ms
(* (+ (* (+ y a) y) b) y)
141.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series572.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
45.0ms
(* (+ (* x y) z) y)
48.0ms
(* (+ (* (+ y a) y) b) y)
408.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.9s

Counts
107 → 107
Iterations
IterNodes
done2000
32000
21955
1529
0198

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 29.2b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.5b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.9b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×*-un-lft-identity add-cube-cbrt
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
9×pow1
8×flip3-+ div-exp flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv associate-*l/ insert-posit16 add-log-exp
2×rec-exp clear-num frac-2neg 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr associate-/l/
1×pow-flip inv-pow
Counts
4 → 159
Calls
4 calls:
40.0ms
(* (+ (* x y) z) y)
32.0ms
(* (+ (* (+ y a) y) b) y)
122.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
133.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.3s

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (+ (* x y) z) y)
41.0ms
(* (+ (* (+ y a) y) b) y)
660.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
569.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify1.2s

Counts
171 → 171
Iterations
IterNodes
done2000
22000
1747
0279

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 29.2b

localize124.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
16.6b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
16.6b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.3b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
8×associate-/r/
7×add-cbrt-cube
4×frac-times pow1 insert-posit16 add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv div-exp associate-*l/ associate-*r/ associate-/l/
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 74
Calls
4 calls:
31.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
47.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
39.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
232.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series1.2s

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
156.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
198.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
689.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify1.5s

Counts
86 → 86
Iterations
IterNodes
done2003
32003
2932
1340
0140

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 28.2b

localize125.0ms

Local error

Found 4 expressions with local error:

18.3b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
18.3b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
18.3b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
24.0b
(* (/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) 1) (/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite479.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
37×add-exp-log
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
18×add-cbrt-cube
14×prod-exp
13×div-exp
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv associate-*l*
6×pow1 cbrt-div
4×flip3-+ 1-exp flip-+ insert-posit16 add-log-exp
3×pow1/3
2×associate-/r/ div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 111
Calls
4 calls:
40.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
53.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
41.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
343.0ms
(* (/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) 1) (/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series1.4s

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
270.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
334.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
474.0ms
(* (/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) 1) (/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.8s

Counts
123 → 123
Iterations
IterNodes
done2023
32023
21819
1676
0217

prune1.3s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 28.2b

regimes1.7s

Accuracy

0% (1.4b remaining)

Error of 28.7b against oracle of 27.3b and baseline of 28.7b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done45
145
028

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.8s8239×body80valid