Details

Time bar (total: 8.9s)

sample37.0ms

Algorithm
intervals
Results
10.0ms62×body640valid
6.0ms45×body320valid
5.0ms124×body80valid
2.0ms25×body160valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21511
done1511

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
4.1b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite168.0ms

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:
20.0ms
(/ 1.0 (- x 1.0))
18.0ms
(/ 1.0 (+ x 1.0))
124.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series285.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1.0 (- x 1.0))
25.0ms
(/ 1.0 (+ x 1.0))
221.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.8s

Counts
111 → 111
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01751402
13881325
29411259
321411255
done50011249

prune188.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
0.5b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×*-un-lft-identity times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
8×difference-of-squares
6×associate-*r*
4×pow1 distribute-rgt-in sub-neg flip3-- distribute-lft-in associate--l+ associate-/r* associate-/r/ flip--
3×associate-/l* distribute-lft-out--
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 85
Calls
2 calls:
147.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
14.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
70.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.3s

Counts
91 → 91
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01731684
14401536
214901354
done50001280

prune212.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
0.1b
(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

rewrite109.0ms

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:
43.0ms
(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
60.0ms
(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

series134.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
99.0ms
(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

simplify1.1s

Counts
117 → 117
Iterations

Useful iterations: 2 (372.0ms)

IterNodesCost
02092482
15852359
220912102
done50022102

prune652.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- (- 0 1.0) 1.0) (/ 1.0 (- (* x x) (* 1.0 1.0))))
0.5b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×*-un-lft-identity times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
8×difference-of-squares
6×associate-*l*
4×pow1 flip3-- associate-/r* associate-/r/ flip--
3×associate-/l* distribute-lft-out--
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 77
Calls
2 calls:
207.0ms
(* (- (- 0 1.0) 1.0) (/ 1.0 (- (* x x) (* 1.0 1.0))))
16.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (- (- 0 1.0) 1.0) (/ 1.0 (- (* x x) (* 1.0 1.0))))
70.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01591505
13881389
214791213
done50001147

prune230.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify31.0ms

Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
01932
12729
23628
34226
44526
54926
65026
done5026

end0.0ms

sample659.0ms

Algorithm
intervals
Results
212.0ms1944×body640valid
133.0ms4203×body80valid
103.0ms1213×body320valid
35.0ms640×body160valid