Details

Time bar (total: 2.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293
done93

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
27.0ms
(/ (+ x 1.0) (- 1.0 x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify79.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0205309
1681292
22801286
35002286
done5002286

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
22.0ms
(/ (- 1.0 x) (+ x 1.0))
25.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- 1.0 x) (+ x 1.0))
33.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify66.0ms

Counts
180 → 180
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05421504
125511350
250011213
done50011213

prune182.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.0b
(/ 1 (+ x 1.0))
0.0b
(/ (/ 1 (- 1.0 x)) (/ 1 (+ x 1.0)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
631×*-un-lft-identity
491×add-sqr-sqrt
369×add-cube-cbrt
87×associate-/r/
70×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
51×add-exp-log
44×div-inv
36×div-exp
27×associate-/r* associate-/l*
23×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×frac-2neg clear-num add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 527
Calls
3 calls:
14.0ms
(/ 1 (- 1.0 x))
12.0ms
(/ 1 (+ x 1.0))
43.0ms
(/ (/ 1 (- 1.0 x)) (/ 1 (+ x 1.0)))

series87.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ 1 (- 1.0 x))
23.0ms
(/ 1 (+ x 1.0))
40.0ms
(/ (/ 1 (- 1.0 x)) (/ 1 (+ x 1.0)))

simplify98.0ms

Counts
536 → 536
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
018776356
150025583
done50025583

prune578.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
0.0b
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
0.1b
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls
3 calls:
27.0ms
(/ (+ x 1.0) (- 1.0 x))
21.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
22.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series127.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (+ x 1.0) (- 1.0 x))
33.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
60.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify73.0ms

Counts
194 → 194
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05521474
124471371
250021351
done50021351

prune239.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163
done63

end0.0ms

sample261.0ms

Algorithm
intervals
Results
139.0ms8000×body80valid