Details

Time bar (total: 5.5s)

sample30.0ms

Algorithm
intervals
Results
8.0ms62×body1280valid
8.0ms36×body640valid
3.0ms131×body80valid
1.0ms14×body320valid
1.0ms13×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06242
19242
210242
done10242

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.8b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 99
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
54.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series598.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(cbrt (+ x 1.0))
260.0ms
(cbrt x)
208.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify3.4s

Counts
108 → 108
Iterations

Useful iterations: done (3.3s)

IterNodesCost
019457157
144948045
2109642396
3335938599
done500038549

prune470.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 17.4b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(- (+ 1.0 x) x)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
10×cbrt-prod
9×add-log-exp
6×distribute-lft-out
4×expm1-log1p-u pow1 add-cbrt-cube fma-neg add-exp-log log1p-expm1-u
3×pow1/3
2×cbrt-div diff-log distribute-lft-out--
1×sum-log sub-neg flip3-+ flip3-- associate--l+ flip-+ flip-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
6.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
55.0ms
(- (+ 1.0 x) x)

series706.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (+ x 1.0))
270.0ms
(cbrt x)
289.0ms
(cbrt x)
2.0ms
(- (+ 1.0 x) x)

simplify116.0ms

Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
014922577