Details

Time bar (total: 8.5s)

sample27.0ms

Algorithm
intervals
Results
7.0ms68×body640valid
6.0ms125×body80valid
3.0ms39×body320valid
2.0ms13×body1280valid
1.0ms11×body160valid

simplify70.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01015
11815
23115
34115
45215
55915
66815
78615
810715
911715
done11715

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.6b
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
35×times-frac
33×add-sqr-sqrt
14×distribute-lft-out--
13×add-cube-cbrt
10×add-log-exp
9×distribute-lft-out
8×difference-of-squares
5×add-exp-log associate-/r* add-cbrt-cube
3×pow1 flip3-- frac-add flip-- associate-/l*
2×sub-neg associate-+l+ diff-log sum-log associate-/r/ frac-sub
1×cbrt-undiv +-commutative associate-+l- frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
3 → 81
Calls
3 calls:
5.0ms
(/ 1.0 (- x 1.0))
39.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
191.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series303.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1.0 (- x 1.0))
43.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
224.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify1.5s

Counts
90 → 90
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01791458
14241375
211261305
333971285
done50011284

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.0b
(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.1b
(* (* (+ x 1.0) x) (- x 1.0))
17.3b
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*l/
32×frac-add
31×flip3-- flip--
24×frac-times flip3-+ flip-+
18×add-exp-log add-cbrt-cube associate-/l/
12×associate-*r/
9×pow1 add-sqr-sqrt *-un-lft-identity
8×associate-/r/ add-log-exp
7×add-cube-cbrt
6×prod-exp cbrt-unprod
5×sub-neg associate-*r*
4×distribute-rgt-in associate-+l+ distribute-lft-in
3×cbrt-undiv times-frac div-exp pow-prod-down associate-/l*
1×+-commutative frac-2neg diff-log associate-*l* clear-num associate-/r* sum-log *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 124
Calls
4 calls:
39.0ms
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
2.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
20.0ms
(* (* (+ x 1.0) x) (- x 1.0))
14.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series237.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
38.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
106.0ms
(* (* (+ x 1.0) x) (- x 1.0))
1.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify1.6s

Counts
136 → 136
Iterations

Useful iterations: 2 (717.0ms)

IterNodesCost
02794788
19934541
248734169
done50004169

prune431.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.1b
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))
0.1b
(* (* (+ x 1.0) x) (- x 1.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
18×associate-*l/
12×add-sqr-sqrt *-un-lft-identity
10×pow1
8×frac-times add-cube-cbrt associate-*r* associate-/r/
7×flip3-+ prod-exp cbrt-unprod flip-+
6×flip3-- flip--
5×associate-*l*
4×associate-*r/ pow-prod-down
3×cbrt-undiv times-frac div-exp associate-/l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
10.0ms
(* (+ x 1.0) x)
17.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))
24.0ms
(* (* (+ x 1.0) x) (- x 1.0))

series239.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* (+ x 1.0) x)
92.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))
99.0ms
(* (* (+ x 1.0) x) (- x 1.0))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: 2 (497.0ms)

IterNodesCost
01541283
14261247
217801075
done50001075

prune171.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (pow x 3) (* 1.0 x))
0.1b
(/ 2.0 (- (pow x 3) (* 1.0 x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×distribute-rgt-out-- unpow3
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 46
Calls
2 calls:
10.0ms
(- (pow x 3) (* 1.0 x))
13.0ms
(/ 2.0 (- (pow x 3) (* 1.0 x)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(- (pow x 3) (* 1.0 x))
69.0ms
(/ 2.0 (- (pow x 3) (* 1.0 x)))

simplify1.2s

Counts
52 → 52
Iterations

Useful iterations: done (1.2s)

IterNodesCost
098744
1224712
2628652
31770652
done5001651

prune108.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample616.0ms

Algorithm
intervals
Results
209.0ms1919×body640valid
126.0ms4135×body80valid
83.0ms971×body320valid
71.0ms522×body1280valid
25.0ms455×body160valid