Details

Time bar (total: 13.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

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:
61.0ms
(/ (+ x 1.0) (- 1.0 x))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify3.8s

Counts
50 → 50
Iterations

Useful iterations: 3 (512.0ms)

IterNodesCost
093646
1215616
2569584
31349573
43656573
done5000573

prune133.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))
2.5b
(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite30.0ms

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:
0.0ms
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
26.0ms
(/ (+ x 1.0) (- 1.0 x))
1.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

series365.0ms

Counts
3 → 9
Calls
3 calls:
188.0ms
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
56.0ms
(/ (+ x 1.0) (- 1.0 x))
121.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify3.7s

Counts
78 → 78
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01601068
1378998
21025907
32933871
done5000857

prune275.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
0.0b
(expm1 (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))))
0.0b
(log (+ 1 (/ (+ x 1.0) (- 1.0 x))))
2.8b
(+ 1 (/ (+ x 1.0) (- 1.0 x)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
27×add-sqr-sqrt
20×times-frac
17×add-cube-cbrt
8×distribute-lft-out
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×pow1 associate-/r* log1p-expm1-u distribute-lft-out-- difference-of-squares
4×expm1-log1p-u log-prod associate-/l*
3×fma-def flip3-+ flip-+
2×log-div expm1-log1p log1p-def associate-/r/ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp rem-log-exp clear-num sum-log log-pow flip-- div-inv expm1-udef
Counts
4 → 94
Calls
4 calls:
28.0ms
(/ (+ x 1.0) (- 1.0 x))
0.0ms
(expm1 (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))))
56.0ms
(log (+ 1 (/ (+ x 1.0) (- 1.0 x))))
70.0ms
(+ 1 (/ (+ x 1.0) (- 1.0 x)))

series624.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ (+ x 1.0) (- 1.0 x))
300.0ms
(expm1 (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))))
167.0ms
(log (+ 1 (/ (+ x 1.0) (- 1.0 x))))
106.0ms
(+ 1 (/ (+ x 1.0) (- 1.0 x)))

simplify2.9s

Counts
106 → 106
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01951537
14721380
212841239
338171201
done50001195

prune266.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

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

sample453.0ms

Algorithm
intervals
Results
269.0ms8000×body80valid