Details

Time bar (total: 2.2s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
23.0ms
(/ (+ x 1.0) (- 1.0 x))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify83.0ms

Counts
50 → 50
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0214315
1711297
22979293
35001292
done5001292

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)))

rewrite58.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
22.0ms
(/ (- 1.0 x) (+ x 1.0))
26.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- 1.0 x) (+ x 1.0))
35.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify62.0ms

Counts
184 → 184
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05571519
126091361
250021223
done50021223

prune188.0ms

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)))

rewrite108.0ms

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×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 533
Calls
3 calls:
13.0ms
(/ 1 (- 1.0 x))
11.0ms
(/ 1 (+ x 1.0))
40.0ms
(/ (/ 1 (- 1.0 x)) (/ 1 (+ x 1.0)))

series82.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ 1 (- 1.0 x))
23.0ms
(/ 1 (+ x 1.0))
37.0ms
(/ (/ 1 (- 1.0 x)) (/ 1 (+ x 1.0)))

simplify94.0ms

Counts
542 → 542
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
018976329
150015557
done50015557

prune547.0ms

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)

rewrite75.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 191
Calls
3 calls:
23.0ms
(/ (+ x 1.0) (- 1.0 x))
22.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
20.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series122.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (+ x 1.0) (- 1.0 x))
32.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
56.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify71.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05711492
125001382
250011362
done50011362

prune236.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes24.0ms

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

sample248.0ms

Algorithm
intervals
Results
139.0ms8000×body80valid