Details

Time bar (total: 2.6s)

sample18.0ms

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)))

rewrite99.0ms

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:
10.0ms
(/ 1.0 (- x 1.0))
10.0ms
(/ 1.0 (+ x 1.0))
74.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ 1.0 (- x 1.0))
24.0ms
(/ 1.0 (+ x 1.0))
165.0ms
(- (/ 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

prune187.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.2b
(- (- x 1.0) (+ x 1.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
14×add-log-exp
13×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt
6×diff-log distribute-lft-out--
5×difference-of-squares
4×add-exp-log flip3-- associate-/r* frac-sub add-cbrt-cube flip--
3×associate-/l*
2×pow1 sub-neg flip3-+ associate--l+ sum-log associate-/r/ flip-+ distribute-lft-out
1×cbrt-undiv associate--l- frac-2neg div-exp clear-num div-inv associate--r+
Counts
2 → 61
Calls
2 calls:
12.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
44.0ms
(- (- x 1.0) (+ x 1.0))

series54.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms
(- (- x 1.0) (+ x 1.0))

simplify48.0ms

Counts
67 → 67
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0388479
11916448
25001446
done5001446

prune126.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.4b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt *-un-lft-identity
18×associate-*l*
10×associate-*r*
9×add-exp-log add-cbrt-cube
7×difference-of-squares
4×pow1 associate-/r* associate-/r/
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv add-log-exp unswap-sqr
1×neg-mul-1 frac-2neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out
Counts
2 → 78
Calls
2 calls:
40.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
12.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
50.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify49.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0438659
12023600
25001598
done5001598

prune169.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
510×times-frac
449×*-un-lft-identity
307×add-sqr-sqrt
213×add-cube-cbrt
87×distribute-lft-neg-in distribute-rgt-neg-in
71×distribute-lft-out
56×associate-/l*
47×distribute-lft-out-- difference-of-squares
29×neg-mul-1
16×associate-/r/
9×add-exp-log associate-/r* add-cbrt-cube
8×div-inv
7×flip3-+ flip-+
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg
2×pow1 neg-sub0 frac-2neg clear-num add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 370
Calls
2 calls:
13.0ms
(/ (- 2.0) (+ x 1.0))
38.0ms
(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series95.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- 2.0) (+ x 1.0))
70.0ms
(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify117.0ms

Counts
376 → 376
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
011053941
147333857
250013857
done50013857

prune594.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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
0136
1156
2196
3226
4226
done226

end0.0ms

sample459.0ms

Algorithm
intervals
Results
156.0ms1920×body640valid
90.0ms4171×body80valid
72.0ms1289×body320valid
24.0ms620×body160valid