Details

Time bar (total: 10.3s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune1.0ms

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 (+ x y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
13.0ms
(/ x (+ x y))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ x (+ x y))

simplify1.5s

Counts
38 → 38
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
061336
1131317
2433299
32441299
done5001299

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(pow (/ x (+ x y)) 3)
11.9b
(cbrt (pow (/ x (+ x y)) 3))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×expm1-log1p-u pow-unpow log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 147
Calls
3 calls:
11.0ms
(/ x (+ x y))
19.0ms
(pow (/ x (+ x y)) 3)
23.0ms
(cbrt (pow (/ x (+ x y)) 3))

series230.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ x (+ x y))
134.0ms
(pow (/ x (+ x y)) 3)
51.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify2.5s

Counts
156 → 156
Iterations

Useful iterations: 2 (469.0ms)

IterNodesCost
01532081
15231653
230421503
done50021503

prune311.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (pow (/ x (+ x y)) 3) 3)
0.1b
(pow (/ x (+ x y)) 3)
5.2b
(cbrt (pow (pow (/ x (+ x y)) 3) 3))
11.9b
(cbrt (cbrt (pow (pow (/ x (+ x y)) 3) 3)))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
273×cbrt-prod
252×unpow-prod-down cube-prod
211×*-un-lft-identity
168×times-frac
127×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
28×associate-/r/
14×flip3-+ flip-+ div-inv
11×add-exp-log
10×cube-mult unpow3 sqr-pow
8×pow-exp add-cbrt-cube
7×cube-div
6×pow-unpow
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp cbrt-div rem-cube-cbrt
2×pow-pow pow1/3 div-exp
1×cbrt-undiv rem-cbrt-cube
Counts
4 → 371
Calls
4 calls:
38.0ms
(pow (pow (/ x (+ x y)) 3) 3)
26.0ms
(pow (/ x (+ x y)) 3)
69.0ms
(cbrt (pow (pow (/ x (+ x y)) 3) 3))
71.0ms
(cbrt (cbrt (pow (pow (/ x (+ x y)) 3) 3)))

series644.0ms

Counts
4 → 12
Calls
4 calls:
374.0ms
(pow (pow (/ x (+ x y)) 3) 3)
102.0ms
(pow (/ x (+ x y)) 3)
115.0ms
(cbrt (pow (pow (/ x (+ x y)) 3) 3))
52.0ms
(cbrt (cbrt (pow (pow (/ x (+ x y)) 3) 3)))

simplify3.5s

Counts
383 → 383
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
02437595
18805568
246304714
done50004714

prune387.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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
045
155
done55

end0.0ms

sample513.0ms

Algorithm
intervals
Results
254.0ms8000×body80valid