Details

Time bar (total: 27.5s)

sample73.0ms

Algorithm
intervals
Results
33.0ms262×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize39.0ms

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) c) y)
30.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite377.0ms

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)
69.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
98.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
179.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series695.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* x y) z) y)
63.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
91.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
503.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.1s

Counts
103 → 103
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01942565
15042499
218242283
done50002279

prune643.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 29.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
30.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

rewrite392.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
383.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

series1.4s

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt y)
240.0ms
(cbrt y)
245.0ms
(cbrt y)
628.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

simplify2.7s

Counts
76 → 76
Iterations

Useful iterations: 3 (956.0ms)

IterNodesCost
01132109
12592086
28361605
338601591
done50011591

prune1.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 29.7b

localize107.0ms

Local error

Found 4 expressions with local error:

19.4b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
19.4b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
19.4b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
23.4b
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

rewrite606.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-/r*
22×cbrt-div
16×add-exp-log
11×flip3-+ flip-+
10×add-cbrt-cube
8×associate-/l/
6×cbrt-undiv div-exp
5×associate-/r/
4×pow1 frac-times add-log-exp
3×pow1/3 div-inv
2×associate-*r/ associate-*l/ prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l*
Counts
4 → 115
Calls
4 calls:
53.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
56.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
59.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
433.0ms
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

series1.7s

Counts
4 → 12
Calls
4 calls:
375.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
389.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
347.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
543.0ms
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

simplify1.7s

Counts
127 → 127
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02288541
15438358
218067331
done50007024

prune1.2s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 29.7b

localize91.0ms

Local error

Found 4 expressions with local error:

18.2b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
18.2b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
18.2b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
23.7b
(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
55.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
57.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
1.1s
(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series1.5s

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
241.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
284.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
736.0ms
(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify1.9s

Counts
131 → 131
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02018152
15647777
220226202
done50015864

prune851.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 29.7b

regimes1.2s

Accuracy

0% (1.1b remaining)

Error of 29.6b against oracle of 28.6b and baseline of 29.6b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
done4133

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.9s8235×body80valid