Details

Time bar (total: 12.4s)

sample26.0ms

Algorithm
intervals
Results
13.0ms382×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

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)))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify1.7s

Counts
36 → 36
Iterations

Useful iterations: done (1.7s)

IterNodesCost
077533
1236520
21730456
done5001439

prune492.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- fma-neg diff-log prod-diff pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 45
Calls
2 calls:
15.0ms
(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
14.0ms
(* 3.0 (pow x 2))

series321.0ms

Counts
2 → 6
Calls
2 calls:
244.0ms
(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
77.0ms
(* 3.0 (pow x 2))

simplify822.0ms

Counts
51 → 51
Iterations

Useful iterations: done (819.0ms)

IterNodesCost
084558
1207512
2897455
done5001423

prune170.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
9×prod-exp
7×associate-*r* add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×unpow-prod-down cbrt-unprod
2×pow1 expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log associate-*l* prod-diff *-commutative flip-- sqr-pow
Counts
2 → 42
Calls
2 calls:
34.0ms
(- (* (* 3.0 x) (pow x (/ 2 2))) (* 2.0 (pow x 3)))
32.0ms
(* (* 3.0 x) (pow x (/ 2 2)))

series264.0ms

Counts
2 → 6
Calls
2 calls:
205.0ms
(- (* (* 3.0 x) (pow x (/ 2 2))) (* 2.0 (pow x 3)))
59.0ms
(* (* 3.0 x) (pow x (/ 2 2)))

simplify1.8s

Counts
48 → 48
Iterations

Useful iterations: 2 (418.0ms)

IterNodesCost
091742
1261582
21725447
done5000447

prune138.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
0.2b
(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))
5.2b
(/ (* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

rewrite505.0ms

Algorithm
rewrite-expression-head
Rules
192×prod-diff
98×distribute-rgt-in distribute-lft-in
89×add-sqr-sqrt
80×*-un-lft-identity
78×add-cube-cbrt
74×unpow-prod-down cube-prod
46×sqr-pow
40×cube-mult unpow3
17×add-exp-log add-cbrt-cube
13×associate-*r*
8×pow1 difference-of-squares
6×prod-exp cbrt-unprod
5×add-log-exp
4×associate-*r/
3×cbrt-undiv expm1-log1p-u times-frac div-exp pow-prod-down associate-/r* log1p-expm1-u
2×sub-neg flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×difference-cubes +-commutative distribute-rgt-out fma-def frac-2neg associate-*l* clear-num sum-log *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
3 → 273
Calls
3 calls:
59.0ms
(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
137.0ms
(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))
275.0ms
(/ (* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

series671.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
190.0ms
(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))
353.0ms
(/ (* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

simplify999.0ms

Counts
282 → 282
Iterations

Useful iterations: done (967.0ms)

IterNodesCost
041012464
114038534
done50006941

prune483.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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
01011
11211
done1211

end0.0ms

sample938.0ms

Algorithm
intervals
Results
645.0ms11988×body80valid