Details

Time bar (total: 36.2s)

sample68.0ms

Algorithm
intervals
Results
33.0ms267×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5001
52858
4824
3264
288
141
026

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.7b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite245.0ms

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×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 → 91
Calls
4 calls:
29.0ms
(* (+ (* x y) z) y)
45.0ms
(* (+ (* (+ y a) y) b) y)
47.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
120.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series599.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (+ (* x y) z) y)
45.0ms
(* (+ (* (+ y a) y) b) y)
63.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
446.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.2s

Counts
103 → 103
Iterations
IterNodes
done5000
22861
1526
0194

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.9b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
3.0b
(* (* y y) (+ a y))
3.4b
(+ (* y b) (* (* y y) (+ a y)))
27.7b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* y y) (+ a y))) c) y) i))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube add-exp-log
11×pow1
9×times-frac
7×associate-*r*
6×add-log-exp
5×flip3-+ flip-+
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×associate-/r* associate-/l*
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*l/ associate-*r/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv distribute-lft-out
Counts
4 → 88
Calls
4 calls:
40.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms
(* (* y y) (+ a y))
7.0ms
(+ (* y b) (* (* y y) (+ a y)))
97.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* y y) (+ a y))) c) y) i))

series574.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
52.0ms
(* (* y y) (+ a y))
59.0ms
(+ (* y b) (* (* y y) (+ a y)))
400.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* y y) (+ a y))) c) y) i))

simplify2.1s

Counts
100 → 100
Iterations
IterNodes
done5001
23830
1565
0191

prune946.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.9b

localize127.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))
1.6b
(* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y)))
3.4b
(+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y))))
27.7b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))) c) y) i))

rewrite747.0ms

Algorithm
rewrite-expression-head
Rules
66×cbrt-div
64×associate-*l/
36×flip3-+ flip-+
32×frac-times
29×add-exp-log
27×pow1
20×*-un-lft-identity
17×add-cbrt-cube
16×add-sqr-sqrt pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
14×associate-*r*
10×associate-*r/
9×times-frac
8×cbrt-prod
6×add-log-exp
3×associate-/r* associate-/l*
2×associate-*l* associate-/r/ *-commutative distribute-lft-out associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 129
Calls
4 calls:
511.0ms
(* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))
125.0ms
(* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y)))
7.0ms
(+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y))))
93.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))) c) y) i))

series1.2s

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))
353.0ms
(* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y)))
111.0ms
(+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y))))
602.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))) c) y) i))

simplify2.6s

Counts
141 → 141
Iterations
IterNodes
done5000
24763
1752
0255

prune1.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.9b

localize119.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (+ b (* y (+ a y))))
0.1b
(* y (+ (* y (+ z (* x y))) 27464.7644705))
0.7b
(/ 1 (/ (+ i (* (+ c (* y (+ b (* y (+ a y))))) y)) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y))))
27.8b
(/ (+ i (* (+ c (* y (+ b (* y (+ a y))))) y)) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y)))

rewrite114.0ms

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-*r/ add-log-exp
2×distribute-rgt-in rec-exp clear-num frac-2neg distribute-lft-in 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:
12.0ms
(* y (+ b (* y (+ a y))))
45.0ms
(* y (+ (* y (+ z (* x y))) 27464.7644705))
14.0ms
(/ 1 (/ (+ i (* (+ c (* y (+ b (* y (+ a y))))) y)) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y))))
38.0ms
(/ (+ i (* (+ c (* y (+ b (* y (+ a y))))) y)) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y)))

series15.3s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* y (+ b (* y (+ a y))))
58.0ms
(* y (+ (* y (+ z (* x y))) 27464.7644705))
14.0s
(/ 1 (/ (+ i (* (+ c (* y (+ b (* y (+ a y))))) y)) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y))))
1.2s
(/ (+ i (* (+ c (* y (+ b (* y (+ a y))))) y)) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y)))

simplify428.0ms

Counts
171 → 171
Iterations
IterNodes
done5000
1833
0282

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 26.9b

regimes1.3s

Accuracy

0% (1.1b remaining)

Error of 29.3b against oracle of 28.2b and baseline of 29.3b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done48
148
030

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.7s8259×body80valid