Details

Time bar (total: 12.1s)

sample35.0ms

Algorithm
intervals
Results
18.0ms385×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5001
91285
8444
7215
6145
5126
4121
382
235
113
07

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity associate-*l/ add-cube-cbrt
1×flip3-- associate-*r* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
44.0ms
(* (- 3.0 (* 2.0 x)) (* x x))

series136.0ms

Counts
1 → 3
Calls
1 calls:
135.0ms
(* (- 3.0 (* 2.0 x)) (* x x))

simplify655.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2950
1149
049

prune99.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×associate-*r*
5×*-un-lft-identity add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in flip3-- associate-*l/ *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 44
Calls
2 calls:
26.0ms
(* x (- 3.0 (* x 2.0)))
27.0ms
(* (* x (- 3.0 (* x 2.0))) x)

series232.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(* x (- 3.0 (* x 2.0)))
121.0ms
(* (* x (- 3.0 (* x 2.0))) x)

simplify1.1s

Counts
50 → 50
Iterations
IterNodes
done5002
21347
1209
074

prune225.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 *-un-lft-identity add-cube-cbrt
6×prod-exp
5×add-log-exp unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×pow-prod-down
2×*-commutative sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp flip--
Counts
3 → 62
Calls
3 calls:
10.0ms
(* 2.0 (pow x 3))
20.0ms
(- (* (* x x) 3.0) (* 2.0 (pow x 3)))
19.0ms
(* (* x x) 3.0)

series237.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* 2.0 (pow x 3))
138.0ms
(- (* (* x x) 3.0) (* 2.0 (pow x 3)))
46.0ms
(* (* x x) 3.0)

simplify1.7s

Counts
71 → 71
Iterations
IterNodes
done5000
21905
1293
0104

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- (pow 3.0 3) (pow (* x 2.0) 3)))
0.1b
(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
0.2b
(* (/ (* 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))))) x)
4.5b
(/ (* 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)))))

rewrite690.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cbrt-cube add-exp-log
16×associate-*r*
13×*-un-lft-identity
12×associate-*l*
11×add-cube-cbrt
8×pow1 difference-of-squares
6×times-frac prod-exp cbrt-unprod add-log-exp sqr-pow
4×cbrt-undiv div-exp associate-*r/ associate-/r/
3×associate-/r* flip3-+ flip-+
2×distribute-rgt-in sub-neg unpow-prod-down distribute-lft-in flip3-- cube-prod pow-prod-down *-commutative div-inv flip-- unswap-sqr associate-/l/
1×difference-cubes +-commutative clear-num sum-log frac-2neg distribute-rgt-out associate-*l/ associate-/l* distribute-lft-out--
Counts
4 → 100
Calls
4 calls:
99.0ms
(* x (- (pow 3.0 3) (pow (* x 2.0) 3)))
40.0ms
(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
421.0ms
(* (/ (* 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))))) x)
126.0ms
(/ (* 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)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
225.0ms
(* x (- (pow 3.0 3) (pow (* x 2.0) 3)))
131.0ms
(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
396.0ms
(* (/ (* 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))))) x)
374.0ms
(/ (* 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)))))

simplify1.9s

Counts
112 → 112
Iterations
IterNodes
done5000
23785
1618
0193

prune633.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample855.0ms

Algorithm
intervals
Results
565.0ms11970×body80valid