Details

Time bar (total: 9.4s)

sample32.0ms

Algorithm
intervals
Results
17.0ms333×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01013
12613
25511
312211
430311
582411
6282011
done500111

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
4×associate-*r/
3×distribute-rgt-in sub-neg distribute-lft-in
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×flip3-+ diff-log flip-+
Counts
3 → 58
Calls
3 calls:
11.0ms
(- (* x 3.0) 4.0)
16.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
30.0ms
(* x (- (* x 3.0) 4.0))

series143.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* x 3.0) 4.0)
34.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
70.0ms
(* x (- (* x 3.0) 4.0))

simplify703.0ms

Counts
67 → 67
Iterations

Useful iterations: done (700.0ms)

IterNodesCost
0108772
1300749
21255681
done5001667

prune170.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
10.0ms
(- (* x 9.0) 12.0)
47.0ms
(* x (- (* x 9.0) 12.0))

series116.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (* x 9.0) 12.0)
68.0ms
(* x (- (* x 9.0) 12.0))

simplify2.3s

Counts
42 → 42
Iterations

Useful iterations: 3 (966.0ms)

IterNodesCost
062401
1156395
2595359
33994351
done5000351

prune112.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
3×sub-neg
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×flip3-+ diff-log flip-+
Counts
3 → 56
Calls
3 calls:
9.0ms
(- (* x 3.0) 4.0)
18.0ms
(* (+ 1.0 (* x (- (* x 3.0) 4.0))) 3.0)
52.0ms
(* x (- (* x 3.0) 4.0))

series195.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (* x 3.0) 4.0)
49.0ms
(* (+ 1.0 (* x (- (* x 3.0) 4.0))) 3.0)
100.0ms
(* x (- (* x 3.0) 4.0))

simplify748.0ms

Counts
65 → 65
Iterations

Useful iterations: done (745.0ms)

IterNodesCost
0104748
1263725
21159659
done5000655

prune130.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 9.0 (pow x 2)) 3.0)
0.0b
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b
(* 9.0 (pow x 2))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×add-log-exp
8×add-exp-log associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down unswap-sqr
3×pow1 associate-*l* prod-exp
2×diff-log sum-log unpow2 sqr-pow
1×+-commutative pow-to-exp sub-neg flip3-- flip3-+ pow-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+
Counts
3 → 52
Calls
3 calls:
11.0ms
(+ (* 9.0 (pow x 2)) 3.0)
59.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
17.0ms
(* 9.0 (pow x 2))

series139.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(+ (* 9.0 (pow x 2)) 3.0)
31.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
38.0ms
(* 9.0 (pow x 2))

simplify641.0ms

Counts
61 → 61
Iterations

Useful iterations: done (639.0ms)

IterNodesCost
096675
1246614
2946565
done5001527

prune153.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes28.0ms

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
089
1119
done119

end0.0ms

sample804.0ms

Algorithm
intervals
Results
576.0ms10630×body80valid