Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
4.0ms54×body640valid
3.0ms136×body80valid
3.0ms47×body320valid
1.0ms19×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1155
2155
done155

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
1.6b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
55×times-frac
50×add-sqr-sqrt
30×add-cube-cbrt
25×distribute-lft-out--
10×distribute-lft-out
9×associate-/r*
8×difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 102
Calls
3 calls:
11.0ms
(/ 1.0 (- x 1.0))
11.0ms
(/ 1.0 (+ x 1.0))
75.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series217.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ 1.0 (- x 1.0))
30.0ms
(/ 1.0 (+ x 1.0))
160.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify41.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0387679
11331648
25001644
done5001644

prune192.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.2b
(- (- x 1.0) (+ x 1.0))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-log-exp
8×frac-sub
7×add-exp-log flip3-- add-cbrt-cube flip--
6×add-sqr-sqrt diff-log associate-*r/ associate-/l/ distribute-lft-out--
4×add-cube-cbrt flip3-+ times-frac associate-/r* flip-+
3×difference-of-squares
2×pow1 cbrt-undiv sub-neg div-exp associate--l+ sum-log associate-/r/ distribute-lft-out
1×associate--l- frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* associate--r+
Counts
2 → 59
Calls
2 calls:
63.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
48.0ms
(- (- x 1.0) (+ x 1.0))

series61.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
8.0ms
(- (- x 1.0) (+ x 1.0))

simplify60.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0446580
12623513
25001510
done5001510

prune125.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×cbrt-undiv div-exp associate-/r/ difference-of-squares
1×pow1 flip3-- frac-2neg distribute-frac-neg prod-exp clear-num distribute-rgt-neg-out flip-- cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 26
Calls
1 calls:
22.0ms
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify35.0ms

Counts
29 → 29
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0242257
11216215
25001211
done5001211

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
65×*-un-lft-identity
49×add-sqr-sqrt
27×add-cube-cbrt
16×add-exp-log associate-/r/ add-cbrt-cube
11×associate-/l* distribute-lft-out-- difference-of-squares
9×associate-/r*
8×div-inv distribute-lft-out
7×cbrt-undiv flip3-+ div-exp flip-+
3×distribute-frac-neg
2×pow1 frac-2neg prod-exp clear-num distribute-rgt-neg-out cbrt-unprod add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 111
Calls
2 calls:
19.0ms
(/ (* 1.0 (- 2.0)) (+ x 1.0))
30.0ms
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series94.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* 1.0 (- 2.0)) (+ x 1.0))
63.0ms
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify75.0ms

Counts
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05711119
130061036
250011036
done50011036

prune197.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes13.0ms

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
0136
1196
2226
3226
done226

end0.0ms

sample456.0ms

Algorithm
intervals
Results
144.0ms1920×body640valid
93.0ms4171×body80valid
76.0ms1289×body320valid
24.0ms620×body160valid