Details

Time bar (total: 20.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms375×body80valid

simplify2.1s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg *-un-lft-identity distribute-lft-in associate-*r/ add-cube-cbrt
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
25.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify1.2s

Counts
28 → 28
Iterations
IterNodes
done5000
21243
1180
057

prune138.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×sub-neg associate-*l* associate-*r/
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 52
Calls
2 calls:
27.0ms
(* x (- 3.0 (* x 2.0)))
43.0ms
(* x (* x (- 3.0 (* x 2.0))))

series157.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* x (- 3.0 (* x 2.0)))
83.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify1.2s

Counts
58 → 58
Iterations
IterNodes
done5001
21261
1230
079

prune239.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x)
0.2b
(* x (/ (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0))))
0.3b
(/ (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0)))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
31×add-cbrt-cube add-exp-log
20×associate-*l/
13×prod-exp cbrt-unprod
12×associate-*r*
11×add-sqr-sqrt
10×pow1
9×*-un-lft-identity add-cube-cbrt
8×frac-times flip3-+ flip-+ associate-/l/
6×cbrt-undiv times-frac flip3-- div-exp flip--
5×associate-*r/
4×associate-*l* pow-prod-down associate-/r/
3×associate-/r* add-log-exp
2×*-commutative div-inv
1×clear-num frac-2neg associate-/l* unswap-sqr
Counts
3 → 90
Calls
3 calls:
47.0ms
(* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x)
149.0ms
(* x (/ (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0))))
65.0ms
(/ (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0)))

series393.0ms

Counts
3 → 9
Calls
3 calls:
202.0ms
(* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x)
106.0ms
(* x (/ (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0))))
85.0ms
(/ (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0)))

simplify2.8s

Counts
99 → 99
Iterations
IterNodes
done5002
24374
1529
0154

prune514.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.3s

Algorithm
rewrite-expression-head
Rules
319×pow1
141×pow-prod-down
103×add-cbrt-cube add-exp-log
68×pow-prod-up
67×prod-exp cbrt-unprod
40×times-frac
34×pow-plus
24×pow-sqr
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r* associate-*l/
8×frac-times pow3
6×pow2 cbrt-undiv cube-unmult div-exp sum-cubes
5×flip3-+ associate-*r* flip-+
4×add-log-exp
3×flip3-- associate-*l* *-commutative frac-sub div-inv flip-- sub-div
2×associate-*r/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in associate-/r/ associate-/l*
Counts
4 → 234
Calls
4 calls:
126.0ms
(* (* (* x 2.0) (* x 2.0)) (* x 2.0))
125.0ms
(* (* (* x 2.0) (* x 2.0)) (* x 2.0))
4.8s
(* (* (- (/ (* 3.0 3.0) (/ (+ (* 3.0 (* 3.0 3.0)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) x)) (/ (* (* x 2.0) (* x 2.0)) (/ (+ (* 3.0 (* 3.0 3.0)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) x))) x) (+ (* 3.0 3.0) (- (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))
228.0ms
(/ (* 3.0 3.0) (/ (+ (* 3.0 (* 3.0 3.0)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) x))

series1.1s

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* (* x 2.0) (* x 2.0)) (* x 2.0))
68.0ms
(* (* (* x 2.0) (* x 2.0)) (* x 2.0))
832.0ms
(* (* (- (/ (* 3.0 3.0) (/ (+ (* 3.0 (* 3.0 3.0)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) x)) (/ (* (* x 2.0) (* x 2.0)) (/ (+ (* 3.0 (* 3.0 3.0)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) x))) x) (+ (* 3.0 3.0) (- (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))
193.0ms
(/ (* 3.0 3.0) (/ (+ (* 3.0 (* 3.0 3.0)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) x))

simplify2.6s

Counts
246 → 246
Iterations
IterNodes
done5000
11051
0300

prune966.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done26
126
018

end0.0ms

sample921.0ms

Algorithm
intervals
Results
611.0ms12101×body80valid