Details

Time bar (total: 6.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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:
48.0ms
(/ (+ x 1.0) (- 1.0 x))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify713.0ms

Counts
50 → 50
Iterations

Useful iterations: done (711.0ms)

IterNodesCost
093646
1221616
2874584
done5000575

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.1b
(* (+ x 1.0) (/ 1 (- 1.0 x)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 94
Calls
2 calls:
16.0ms
(/ 1 (- 1.0 x))
50.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1 (- 1.0 x))
51.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify2.2s

Counts
100 → 100
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01501142
1394976
22517839
done5000833

prune254.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
0.0b
(/ (+ x 1.0) (- 1.0 x))
3.2b
(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite56.0ms

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:
1.0ms
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
50.0ms
(/ (+ x 1.0) (- 1.0 x))
1.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

series418.0ms

Counts
3 → 9
Calls
3 calls:
201.0ms
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
52.0ms
(/ (+ x 1.0) (- 1.0 x))
165.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify1.3s

Counts
78 → 78
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01601068
1391998
21550909
done5001891

prune330.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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
057
167
done67

end0.0ms

sample535.0ms

Algorithm
intervals
Results
291.0ms8000×body80valid