Details

Time bar (total: 9.5s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
11.0ms
(+ x (/ 1.0 3.0))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ x (/ 1.0 3.0))

simplify3.7s

Counts
20 → 20
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
030135
183129
2220119
3509119
41421119
53944119
done5000119

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b
(- x (/ 1.0 3.0))
13.1b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
62×*-un-lft-identity
57×times-frac
50×add-cube-cbrt
40×prod-diff
20×difference-of-squares
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
4×flip3-- fma-neg flip-- div-inv associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num
Counts
3 → 129
Calls
3 calls:
13.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
14.0ms
(- x (/ 1.0 3.0))
71.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series287.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
24.0ms
(- x (/ 1.0 3.0))
192.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify1.9s

Counts
138 → 138
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02513504
16083181
219022404
done50002063

prune345.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.5b
(pow (- x (/ 1.0 3.0)) 3)
13.1b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (pow (- x (/ 1.0 3.0)) 3)))
17.3b
(cbrt (pow (- x (/ 1.0 3.0)) 3))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
162×add-sqr-sqrt
126×times-frac
117×*-un-lft-identity
108×cbrt-prod
87×add-cube-cbrt
52×difference-of-squares
42×unpow-prod-down cube-prod
39×prod-diff
21×associate-/r*
15×distribute-lft-out--
7×add-exp-log cube-mult unpow3 sqr-pow
6×cube-div add-cbrt-cube add-log-exp
5×pow1 flip3-- flip--
4×expm1-log1p-u cbrt-div log1p-expm1-u div-inv associate-/l*
3×pow-unpow fma-neg
2×associate-/r/ associate-/l/
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log div-sub div-exp pow-exp clear-num rem-cbrt-cube rem-cube-cbrt
Counts
4 → 251
Calls
4 calls:
25.0ms
(- x (/ 1.0 3.0))
35.0ms
(pow (- x (/ 1.0 3.0)) 3)
89.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (pow (- x (/ 1.0 3.0)) 3)))
25.0ms
(cbrt (pow (- x (/ 1.0 3.0)) 3))

series314.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- x (/ 1.0 3.0))
64.0ms
(pow (- x (/ 1.0 3.0)) 3)
169.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (pow (- x (/ 1.0 3.0)) 3)))
57.0ms
(cbrt (pow (- x (/ 1.0 3.0)) 3))

simplify1.8s

Counts
263 → 263
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03707180
18136072
227675367
done50005188

prune543.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes0.0ms