Details

Time bar (total: 10.4s)

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify7.0ms

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))

rewrite42.0ms

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:
38.0ms
(/ (+ x 1.0) (- 1.0 x))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify3.6s

Counts
50 → 50
Iterations

Useful iterations: 3 (501.0ms)

IterNodesCost
093646
1215616
2569584
31349573
43656573
done5000573

prune101.0ms

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)))

rewrite29.0ms

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))))
25.0ms
(/ (+ x 1.0) (- 1.0 x))
1.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

series358.0ms

Counts
3 → 9
Calls
3 calls:
193.0ms
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
36.0ms
(/ (+ x 1.0) (- 1.0 x))
129.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify3.4s

Counts
78 → 78
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01601068
1378998
21025907
32933871
done5000857

prune204.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
0.5b
(cbrt (pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3))
0.5b
(pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3)
2.5b
(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
31×add-sqr-sqrt
21×add-cube-cbrt
20×times-frac
12×cbrt-prod
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod distribute-lft-out
5×pow1 expm1-log1p-u associate-/r* distribute-lft-out-- difference-of-squares
4×log1p-expm1-u associate-/l* add-log-exp
3×pow-unpow
2×cube-mult unpow3 associate-/r/ associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp log1p-udef flip3-- pow-pow frac-2neg flip3-+ pow1/3 log1p-expm1 div-exp pow-exp clear-num flip-- rem-cbrt-cube flip-+ div-inv rem-cube-cbrt
Counts
4 → 106
Calls
4 calls:
37.0ms
(/ (+ x 1.0) (- 1.0 x))
4.0ms
(cbrt (pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3))
5.0ms
(pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3)
1.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

series596.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (+ x 1.0) (- 1.0 x))
146.0ms
(cbrt (pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3))
261.0ms
(pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3)
144.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify1.5s

Counts
118 → 118
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02642065
17021819
222501675
done50011659

prune396.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.0ms