Details

Time bar (total: 11.5s)

sample15.0ms

Algorithm
intervals
Results
8.0ms403×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1139
2349
3779
41149
51219
61389
71929
83529
99349
1030869
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite15.0ms

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:
14.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify3.0s

Counts
36 → 36
Iterations

Useful iterations: 3 (924.0ms)

IterNodesCost
077533
1209518
2853442
34508421
done5000421

prune65.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 72
Calls
3 calls:
9.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
7.0ms
(* 2.0 (pow x 3))
8.0ms
(* (* x x) 3.0)

series160.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
40.0ms
(* 2.0 (pow x 3))
24.0ms
(* (* x x) 3.0)

simplify719.0ms

Counts
81 → 81
Iterations

Useful iterations: done (717.0ms)

IterNodesCost
0116768
1297668
21277613
done5000611

prune163.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log associate-*r*
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×associate-*l* prod-exp
4×unpow-prod-down cube-prod cbrt-unprod unswap-sqr
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 71
Calls
3 calls:
7.0ms
(* 2.0 (pow x 3))
7.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
6.0ms
(* x (* x 3.0))

series161.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* 2.0 (pow x 3))
96.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
29.0ms
(* x (* x 3.0))

simplify640.0ms

Counts
80 → 80
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
0111757
1292668
21185608
done5001608

prune156.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 43
Calls
2 calls:
7.0ms
(* 2.0 (pow x 3))
0.0ms
(fma (* x x) 3.0 (- (* 2.0 (pow x 3))))

series138.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* 2.0 (pow x 3))
98.0ms
(fma (* x x) 3.0 (- (* 2.0 (pow x 3))))

simplify2.7s

Counts
49 → 49
Iterations

Useful iterations: 3 (563.0ms)

IterNodesCost
071457
1152424
2526382
33470356
done5001356

prune96.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11812
22012
done2012

end0.0ms

sample355.0ms

Algorithm
intervals
Results
232.0ms12071×body80valid