Details

Time bar (total: 14.8s)

sample36.0ms

Algorithm
intervals
Results
17.0ms259×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
28833
317833
439733
580033
6119233
7131633
8173733
9323933
done500033

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ y a) y) b) y)
29.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite115.0ms

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:
32.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
14.0ms
(* (+ (* x y) z) y)
18.0ms
(* (+ (* (+ y a) y) b) y)
48.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series475.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
32.0ms
(* (+ (* x y) z) y)
34.0ms
(* (+ (* (+ y a) y) b) y)
330.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify621.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (150.0ms)

IterNodesCost
01972567
15192541
218642285
done50012285

prune479.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 28.8b

localize26.0ms

Local error

Found 4 expressions with local error:

3.5b
(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
6.1b
(+ (pow y 3) (* a (pow y 2)))
10.5b
(* a (pow y 2))
29.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-log-exp
9×times-frac
8×associate-*r* add-cbrt-cube
4×pow1 unpow-prod-down flip3-+ sum-log flip-+ unswap-sqr
3×associate-*l* prod-exp associate-/r* associate-/l*
2×+-commutative associate-/r/ associate-/l/ unpow2 sqr-pow
1×cbrt-undiv pow-to-exp associate-+r+ frac-2neg div-exp pow-exp clear-num *-commutative cbrt-unprod div-inv
Counts
4 → 82
Calls
4 calls:
23.0ms
(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
9.0ms
(+ (pow y 3) (* a (pow y 2)))
6.0ms
(* a (pow y 2))
195.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

series438.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
41.0ms
(+ (pow y 3) (* a (pow y 2)))
30.0ms
(* a (pow y 2))
330.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

simplify705.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (226.0ms)

IterNodesCost
01762531
14612441
216242240
done50002240

prune462.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 28.8b

localize31.0ms

Local error

Found 4 expressions with local error:

29.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (cbrt (+ (pow y 3) (* a (pow y 2)))) (cbrt (+ (pow y 3) (* a (pow y 2))))) (cbrt (+ (pow y 3) (* a (pow y 2)))))) c) y) i))
35.2b
(cbrt (+ (pow y 3) (* a (pow y 2))))
35.2b
(cbrt (+ (pow y 3) (* a (pow y 2))))
35.2b
(cbrt (+ (pow y 3) (* a (pow y 2))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log cbrt-div add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 70
Calls
4 calls:
50.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (cbrt (+ (pow y 3) (* a (pow y 2)))) (cbrt (+ (pow y 3) (* a (pow y 2))))) (cbrt (+ (pow y 3) (* a (pow y 2)))))) c) y) i))
6.0ms
(cbrt (+ (pow y 3) (* a (pow y 2))))
7.0ms
(cbrt (+ (pow y 3) (* a (pow y 2))))
7.0ms
(cbrt (+ (pow y 3) (* a (pow y 2))))

series865.0ms

Counts
4 → 12
Calls
4 calls:
424.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (cbrt (+ (pow y 3) (* a (pow y 2)))) (cbrt (+ (pow y 3) (* a (pow y 2))))) (cbrt (+ (pow y 3) (* a (pow y 2)))))) c) y) i))
146.0ms
(cbrt (+ (pow y 3) (* a (pow y 2))))
146.0ms
(cbrt (+ (pow y 3) (* a (pow y 2))))
148.0ms
(cbrt (+ (pow y 3) (* a (pow y 2))))

simplify1.8s

Counts
82 → 82
Iterations

Useful iterations: 3 (567.0ms)

IterNodesCost
01303638
13183579
210192427
348582251
done50002251

prune546.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 28.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
29.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite140.0ms

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:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
137.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series994.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt y)
177.0ms
(cbrt y)
186.0ms
(cbrt y)
453.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify1.3s

Counts
76 → 76
Iterations

Useful iterations: 3 (429.0ms)

IterNodesCost
01132109
12592086
27601740
328541591
done50011591

prune376.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 28.8b

regimes788.0ms

Accuracy

0% (1.1b remaining)

Error of 29.5b against oracle of 28.5b and baseline of 29.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03037
14537
done4537

end0.0ms

sample901.0ms

Algorithm
intervals
Results
543.0ms8249×body80valid