Details

Time bar (total: 13.6s)

sample36.0ms

Algorithm
intervals
Results
16.0ms259×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
28833
317833
439733
580033
6119133
7129333
8162633
9273433
done500133

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize22.0ms

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))

rewrite114.0ms

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:
33.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
10.0ms
(* (+ (* x y) z) y)
18.0ms
(* (+ (* (+ y a) y) b) y)
50.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series492.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
34.0ms
(* (+ (* x y) z) y)
39.0ms
(* (+ (* (+ y a) y) b) y)
335.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify701.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
01972567
15192541
218212285
done50002285

prune488.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 28.8b

localize30.0ms

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))

rewrite231.0ms

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))))
10.0ms
(+ (pow y 3) (* a (pow y 2)))
6.0ms
(* a (pow y 2))
190.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

series436.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
38.0ms
(+ (pow y 3) (* a (pow y 2)))
32.0ms
(* a (pow y 2))
326.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

simplify679.0ms

Counts
94 → 94
Iterations

Useful iterations: done (676.0ms)

IterNodesCost
01762531
14612441
214912240
done50012070

prune490.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 28.8b

localize29.0ms

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 2) (+ a y))) (cbrt (* (pow y 2) (+ a y)))) (cbrt (* (pow y 2) (+ a y))))) c) y) i))
35.2b
(cbrt (* (pow y 2) (+ a y)))
35.2b
(cbrt (* (pow y 2) (+ a y)))
35.2b
(cbrt (* (pow y 2) (+ a y)))

rewrite61.0ms

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-*r/ 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:
48.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (cbrt (* (pow y 2) (+ a y))) (cbrt (* (pow y 2) (+ a y)))) (cbrt (* (pow y 2) (+ a y))))) c) y) i))
4.0ms
(cbrt (* (pow y 2) (+ a y)))
4.0ms
(cbrt (* (pow y 2) (+ a y)))
4.0ms
(cbrt (* (pow y 2) (+ a y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
417.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (cbrt (* (pow y 2) (+ a y))) (cbrt (* (pow y 2) (+ a y)))) (cbrt (* (pow y 2) (+ a y))))) c) y) i))
151.0ms
(cbrt (* (pow y 2) (+ a y)))
339.0ms
(cbrt (* (pow y 2) (+ a y)))
147.0ms
(cbrt (* (pow y 2) (+ a y)))

simplify1.3s

Counts
76 → 76
Iterations

Useful iterations: 3 (436.0ms)

IterNodesCost
01293023
13113003
29302067
335071909
done50001909

prune483.0ms

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))

rewrite137.0ms

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)
0.0ms
(cbrt y)
133.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series1.0s

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt y)
186.0ms
(cbrt y)
184.0ms
(cbrt y)
455.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify1.1s

Counts
76 → 76
Iterations

Useful iterations: 3 (433.0ms)

IterNodesCost
01132109
12592086
27441740
326541591
done50001591

prune364.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 28.8b

regimes561.0ms

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

sample910.0ms

Algorithm
intervals
Results
545.0ms8249×body80valid