Details

Time bar (total: 21.3s)

sample52.0ms

Algorithm
intervals
Results
24.0ms266×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
28833
326433
482433
5291633
done500133

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite446.0ms

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:
102.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
53.0ms
(* (+ (* (+ y a) y) b) y)
100.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
187.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series701.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
45.0ms
(* (+ (* (+ y a) y) b) y)
82.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
445.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.4s

Counts
103 → 103
Iterations

Useful iterations: 2 (427.0ms)

IterNodesCost
01962727
15232657
228162425
done50002425

prune783.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 29.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.3b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.4b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite442.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
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/ add-log-exp
2×rec-exp frac-2neg 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×pow-flip inv-pow
Counts
4 → 155
Calls
4 calls:
42.0ms
(* (+ (* (+ y a) y) b) y)
73.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
166.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
155.0ms
(/ (+ (* (+ (* (+ (* (+ 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:
40.0ms
(* (+ (* (+ y a) y) b) y)
72.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
497.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
696.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify1.8s

Counts
167 → 167
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02757254
17396990
240766537
done50006529

prune739.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 29.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
0.3b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.1b
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite559.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
248×add-sqr-sqrt
246×add-cube-cbrt *-un-lft-identity
69×associate-/r/
54×add-exp-log
36×div-exp
35×flip3-+ flip-+ div-inv
22×add-cbrt-cube
21×associate-/r* associate-/l*
10×cbrt-undiv rec-exp 1-exp
8×pow1
4×add-log-exp
3×frac-2neg associate-*r* associate-*l* clear-num
2×pow-flip associate-*l/ inv-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 373
Calls
4 calls:
91.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
116.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
80.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
250.0ms
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
163.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
75.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
656.0ms
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify1.3s

Counts
385 → 385
Iterations

Useful iterations: done (1.3s)

IterNodesCost
058224139
1199022479
done500021661

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 29.0b

localize42.0ms

Local error

Found 4 expressions with local error:

27.0b
(cbrt (* (+ (* (+ y a) y) b) y))
27.0b
(cbrt (* (+ (* (+ y a) y) b) y))
27.0b
(cbrt (* (+ (* (+ y a) y) b) y))
29.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

rewrite507.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*l/ add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
29.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
30.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
29.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
416.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

series1.2s

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
151.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
167.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
731.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

simplify880.0ms

Counts
76 → 76
Iterations

Useful iterations: done (876.0ms)

IterNodesCost
01263247
13083227
210562105
done50001939

prune616.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 29.0b

regimes860.0ms

Accuracy

0% (1.1b remaining)

Error of 28.8b against oracle of 27.6b and baseline of 28.8b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02937
14637
done4637

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.9s8258×body80valid