Details

Time bar (total: 9.8s)

sample24.0ms

Algorithm
intervals
Results
10.0ms374×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1139
2359
3909
41499
51569
61759
72479
84799
912289
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
46.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series124.0ms

Counts
1 → 3
Calls
1 calls:
124.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify1.6s

Counts
36 → 36
Iterations

Useful iterations: done (1.6s)

IterNodesCost
077533
1236520
21730456
done5001439

prune68.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
0.2b
(* 3.0 (pow x 2))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
20×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down unswap-sqr
7×add-cbrt-cube
6×associate-*l* prod-exp
5×add-log-exp
4×cube-prod sqr-pow
3×pow1 expm1-log1p-u log1p-expm1-u
2×pow-to-exp pow-exp *-commutative cbrt-unprod unpow2
1×cube-mult sub-neg flip3-- fma-neg diff-log unpow3 prod-diff flip--
Counts
3 → 78
Calls
3 calls:
15.0ms
(* 2.0 (pow x 3))
20.0ms
(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
14.0ms
(* 3.0 (pow x 2))

series225.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* 2.0 (pow x 3))
141.0ms
(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
40.0ms
(* 3.0 (pow x 2))

simplify906.0ms

Counts
87 → 87
Iterations

Useful iterations: done (903.0ms)

IterNodesCost
0126833
1307744
21287679
done5000637

prune260.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- (pow x 3)) 2.0)
0.1b
(fma 3.0 (pow x 2) (* (- (pow x 3)) 2.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*l*
12×distribute-lft-neg-in add-sqr-sqrt distribute-rgt-neg-in
10×add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
4×pow1 add-exp-log add-cbrt-cube
3×associate-*r*
2×expm1-log1p-u cube-mult unpow3 log1p-expm1-u add-log-exp sqr-pow
1×distribute-lft-neg-out neg-mul-1 pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 56
Calls
2 calls:
55.0ms
(* (- (pow x 3)) 2.0)
1.0ms
(fma 3.0 (pow x 2) (* (- (pow x 3)) 2.0))

series177.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (- (pow x 3)) 2.0)
123.0ms
(fma 3.0 (pow x 2) (* (- (pow x 3)) 2.0))

simplify790.0ms

Counts
62 → 62
Iterations

Useful iterations: done (788.0ms)

IterNodesCost
084528
1190501
2841459
done5001431

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
18×prod-diff
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*l*
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×unswap-sqr
Counts
2 → 74
Calls
2 calls:
26.0ms
(* x (- 3.0 (* x 2.0)))
43.0ms
(* x (* x (- 3.0 (* x 2.0))))

series216.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(* x (- 3.0 (* x 2.0)))
126.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify1.4s

Counts
80 → 80
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01171119
13381105
21757981
done5000955

prune225.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
21711
31811
done1811

end0.0ms

sample994.0ms

Algorithm
intervals
Results
688.0ms12074×body80valid