Details

Time bar (total: 10.3s)

sample34.0ms

Algorithm
intervals
Results
18.0ms335×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
01013
12613
25511
312211
430311
582411
6282011
done500111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
associate-*r/
distribute-rgt-in sub-neg distribute-lft-in
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
flip3-+ diff-log flip-+
Counts
3 → 58
Calls
3 calls:
11.0ms
(- (* x 3.0) 4.0)
29.0ms
(* x (- (* x 3.0) 4.0))
16.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series191.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- (* x 3.0) 4.0)
80.0ms
(* x (- (* x 3.0) 4.0))
54.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify676.0ms

Counts
67 → 67
Iterations

Useful iterations: done (673.0ms)

IterNodesCost
0108772
1300749
21251683
done5000667

prune205.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 9.0 x) 12.0)
0.1b
(* x (- (* 9.0 x) 12.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
sub-neg associate-*r* associate-*l*
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
8.0ms
(- (* 9.0 x) 12.0)
50.0ms
(* x (- (* 9.0 x) 12.0))

series138.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (* 9.0 x) 12.0)
90.0ms
(* x (- (* 9.0 x) 12.0))

simplify2.6s

Counts
42 → 42
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
060401
1153395
2592359
34018351
done5001351

prune391.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 9.0 (pow x 2)) (* (- 12.0) x))
0.2b
(* 9.0 (pow x 2))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*l* prod-exp
pow1 distribute-lft-neg-out unpow2 sqr-pow
+-commutative pow-to-exp flip3-+ unsub-neg pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 40
Calls
2 calls:
10.0ms
(+ (* 9.0 (pow x 2)) (* (- 12.0) x))
12.0ms
(* 9.0 (pow x 2))

series124.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(+ (* 9.0 (pow x 2)) (* (- 12.0) x))
27.0ms
(* 9.0 (pow x 2))

simplify661.0ms

Counts
46 → 46
Iterations

Useful iterations: done (659.0ms)

IterNodesCost
076458
1200404
2896356
done5000326

prune141.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* 3.0 (* x (- (* x 3.0) 4.0)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
add-sqr-sqrt
sub-neg
add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l*
add-log-exp
associate-*r* pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative
diff-log unswap-sqr
Counts
3 → 64
Calls
3 calls:
12.0ms
(- (* x 3.0) 4.0)
45.0ms
(* x (- (* x 3.0) 4.0))
64.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))

series292.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (* x 3.0) 4.0)
107.0ms
(* x (- (* x 3.0) 4.0))
127.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))

simplify560.0ms

Counts
73 → 73
Iterations

Useful iterations: done (557.0ms)

IterNodesCost
096791
1247782
21030694
done5000680

prune146.0ms

Pruning

5 alts after pruning (2 fresh and 3 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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample749.0ms

Algorithm
intervals
Results
535.0ms10737×body80valid