Details

Time bar (total: 12.9s)

sample32.0ms

Algorithm
intervals
Results
16.0ms347×body80valid

simplify377.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1199
2419
3679
4879
51019
61389
71689
81859
done1859

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.0b
(+ 0.253 (* x 0.12))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ flip-+ associate--r+
1×+-commutative sub-neg flip3-- diff-log pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 47
Calls
3 calls:
10.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
11.0ms
(+ 0.253 (* x 0.12))
31.0ms
(* x (+ 0.253 (* x 0.12)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
73.0ms
(+ 0.253 (* x 0.12))
93.0ms
(* x (+ 0.253 (* x 0.12)))

simplify2.8s

Counts
56 → 56
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
084617
1226574
2721532
32970532
done5000532

prune134.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* x 0.253))
0.0b
(- (- 1.0 (* x 0.253)) (* (* x 0.12) x))
0.2b
(* (* x 0.12) x)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity diff-log
3×sub-neg associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate--l+ flip--
1×associate--l- associate-*l* *-commutative
Counts
3 → 46
Calls
3 calls:
5.0ms
(- 1.0 (* x 0.253))
49.0ms
(- (- 1.0 (* x 0.253)) (* (* x 0.12) x))
44.0ms
(* (* x 0.12) x)

series123.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- 1.0 (* x 0.253))
34.0ms
(- (- 1.0 (* x 0.253)) (* (* x 0.12) x))
36.0ms
(* (* x 0.12) x)

simplify2.7s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
088594
1221555
2709473
32514471
done5001471

prune148.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (* (* x 0.12) x))
0.2b
(* (* x 0.12) x)
0.2b
(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
0.3b
(* (* x 0.253) (* x 0.253))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
48×pow1
23×add-exp-log add-cbrt-cube
20×pow-prod-down
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
11×prod-exp cbrt-unprod
6×add-log-exp
4×associate-*r* pow-sqr pow-prod-up associate-/l* difference-of-squares
3×associate-/r*
2×flip3-- pow-plus div-sub associate-*l* associate-/r/ *-commutative flip-- associate-/l/
1×cbrt-undiv associate--l- pow2 sub-neg frac-2neg flip3-+ diff-log swap-sqr div-exp clear-num flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
133.0ms
(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (* (* x 0.12) x))
22.0ms
(* (* x 0.12) x)
28.0ms
(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
47.0ms
(* (* x 0.253) (* x 0.253))

series313.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (* (* x 0.12) x))
35.0ms
(* (* x 0.12) x)
165.0ms
(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
28.0ms
(* (* x 0.253) (* x 0.253))

simplify1.7s

Counts
113 → 113
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01691929
14421748
216531588
done50001334

prune355.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (pow (* 0.12 (pow x 2)) 1))
0.2b
(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
0.2b
(* 0.12 (pow x 2))
0.3b
(* (* x 0.253) (* x 0.253))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
30×add-sqr-sqrt
23×add-exp-log
20×add-cbrt-cube
18×*-un-lft-identity
17×pow-prod-down
16×add-cube-cbrt
14×times-frac
11×prod-exp
9×associate-*r* cbrt-unprod
8×difference-of-squares
6×add-log-exp
4×unpow-prod-down associate-*l* pow-sqr pow-prod-up associate-/l* unswap-sqr sqr-pow
3×associate-/r*
2×flip3-- pow-plus div-sub associate-/r/ *-commutative flip-- associate-/l/ unpow2
1×cbrt-undiv associate--l- pow2 pow-to-exp sub-neg frac-2neg flip3-+ diff-log swap-sqr div-exp pow-exp clear-num flip-+ div-inv distribute-lft-out--
Counts
4 → 115
Calls
4 calls:
108.0ms
(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (pow (* 0.12 (pow x 2)) 1))
47.0ms
(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
12.0ms
(* 0.12 (pow x 2))
52.0ms
(* (* x 0.253) (* x 0.253))

series329.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (pow (* 0.12 (pow x 2)) 1))
178.0ms
(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
30.0ms
(* 0.12 (pow x 2))
34.0ms
(* (* x 0.253) (* x 0.253))

simplify1.6s

Counts
127 → 127
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01992295
14812036
216071867
done50001575

prune437.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
11723
done1723

end0.0ms

sample852.0ms

Algorithm
intervals
Results
582.0ms10740×body80valid