Details

Time bar (total: 11.5s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

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))

rewrite61.0ms

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:
46.0ms
(/ (+ x 1.0) (- 1.0 x))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify3.6s

Counts
50 → 50
Iterations

Useful iterations: 3 (561.0ms)

IterNodesCost
093646
1215616
2569584
31349573
43656573
done5000573

prune107.0ms

Pruning

3 alts after pruning (2 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)))

rewrite94.0ms

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:
39.0ms
(/ (- 1.0 x) (+ x 1.0))
27.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- 1.0 x) (+ x 1.0))
45.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify2.5s

Counts
184 → 184
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02323076
15402624
212622355
334562310
done50002307

prune230.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
0.0b
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
3.3b
(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-/l*
3×pow1 log1p-expm1-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 69
Calls
3 calls:
44.0ms
(/ (+ x 1.0) (- 1.0 x))
0.0ms
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
1.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

series429.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (+ x 1.0) (- 1.0 x))
239.0ms
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
151.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify3.2s

Counts
78 → 78
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01601068
1378998
21027907
32931871
done5000857

prune172.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

end0.0ms

sample738.0ms

Algorithm
intervals
Results
582.0ms8000×body80valid