Details

Time bar (total: 2.8s)

sample17.0ms

Algorithm
intervals
Results
5.0ms66×body640valid
3.0ms128×body80valid
2.0ms39×body320valid
1.0ms23×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124
done124

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.5b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
362×*-un-lft-identity
358×times-frac
265×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
35×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
8×distribute-lft-out--
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip--
Counts
2 → 314
Calls
2 calls:
11.0ms
(/ 1.0 (+ x 1.0))
82.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ 1.0 (+ x 1.0))
57.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify99.0ms

Counts
320 → 320
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
08736795
126454746
250024145
done50024145

prune259.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.9b
(- x (+ x 1.0))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
14×add-exp-log add-cbrt-cube
12×add-sqr-sqrt prod-diff
10×add-cube-cbrt
7×add-log-exp
4×cbrt-undiv div-exp prod-exp cbrt-unprod distribute-lft-out
3×fma-neg
2×pow1 expm1-log1p-u flip3-- diff-log associate-*r/ associate-*l/ associate-/r/ flip-- log1p-expm1-u associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg flip3-+ times-frac clear-num associate-/r* sum-log flip-+ div-inv associate-/l* associate--r+ difference-of-squares
Counts
2 → 61
Calls
2 calls:
54.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
20.0ms
(- x (+ x 1.0))

series42.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms
(- x (+ x 1.0))

simplify67.0ms

Counts
67 → 67
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0382525
12185359
25001347
done5001347

prune103.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
959×times-frac
669×*-un-lft-identity
509×add-sqr-sqrt
381×add-cube-cbrt
86×associate-/l*
80×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
37×associate-/r/
29×associate-/r*
22×div-inv
16×add-exp-log flip3-- add-cbrt-cube flip--
9×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 478
Calls
2 calls:
24.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
56.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series59.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
36.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify86.0ms

Counts
484 → 484
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015965690
150025510
done50025510

prune917.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (* 1.0 (+ (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)))) (* (+ x 1.0) x))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×flip3-+ associate-*r/ associate-*l/ associate-/r/ flip-+ associate-/l/
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
50.0ms
(/ (* 1.0 (+ (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)))) (* (+ x 1.0) x))

series120.0ms

Counts
1 → 3
Calls
1 calls:
120.0ms
(/ (* 1.0 (+ (- 0 1.0) (fma (- (+ x 1.0)) 1 (+ x 1.0)))) (* (+ x 1.0) x))

simplify53.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0319427
11830323
25001316
done5001316

prune62.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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
0105
1105
done105

end0.0ms

sample421.0ms

Algorithm
intervals
Results
140.0ms1964×body640valid
82.0ms4216×body80valid
62.0ms1209×body320valid
21.0ms611×body160valid