Details

Time bar (total: 13.7s)

sample32.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune4.0ms

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 (+ y x))

rewrite23.0ms

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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
21.0ms
(/ x (+ y x))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(/ x (+ y x))

simplify1.4s

Counts
36 → 36
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
059324
1128305
2418287
32146287
done5000287

prune115.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ y x))
0.1b
(* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))
5.4b
(sqrt (/ x (+ y x)))
5.4b
(sqrt (/ x (+ y x)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
134×sqrt-prod
131×*-un-lft-identity
104×times-frac
103×add-sqr-sqrt
69×add-cube-cbrt
29×swap-sqr
28×distribute-lft-out
21×pow1 associate-*r* associate-*l*
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv
6×sqrt-div
5×pow-prod-up
4×rem-sqrt-square associate-/r* add-log-exp
3×pow-prod-down pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 201
Calls
4 calls:
22.0ms
(/ x (+ y x))
124.0ms
(* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))
21.0ms
(sqrt (/ x (+ y x)))
28.0ms
(sqrt (/ x (+ y x)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ x (+ y x))
76.0ms
(* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))
107.0ms
(sqrt (/ x (+ y x)))
104.0ms
(sqrt (/ x (+ y x)))

simplify1.4s

Counts
213 → 213
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01773139
13422211
216332083
done50002054

prune901.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(pow (/ x (+ x y)) 3)
13.9b
(cbrt (pow (/ x (+ x y)) 3))

rewrite63.0ms

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×pow-unpow 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 → 141
Calls
3 calls:
14.0ms
(/ x (+ x y))
13.0ms
(pow (/ x (+ x y)) 3)
16.0ms
(cbrt (pow (/ x (+ x y)) 3))

series243.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ x (+ x y))
120.0ms
(pow (/ x (+ x y)) 3)
74.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify2.1s

Counts
150 → 150
Iterations

Useful iterations: 2 (578.0ms)

IterNodesCost
01472035
15141617
230271467
done50001467

prune427.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) 3)
0.1b
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
0.2b
(/ x (sqrt (+ x y)))
8.0b
(cbrt (pow (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) 3))

rewrite858.0ms

Algorithm
rewrite-expression-head
Rules
1722×times-frac
1298×*-un-lft-identity
992×sqrt-prod
802×add-sqr-sqrt add-cube-cbrt
396×cbrt-prod
390×unpow-prod-down cube-prod
248×distribute-lft-out
84×sqrt-div associate-/r/
42×flip3-+ flip-+ div-inv
30×associate-/l*
17×add-exp-log add-cbrt-cube
14×associate-/r*
7×cbrt-undiv div-exp
5×pow1
4×add-log-exp
3×pow-unpow pow-exp rem-cube-cbrt
2×cube-div cube-mult frac-2neg unpow3 clear-num sqr-pow
1×pow-to-exp cbrt-div pow-pow pow1/3 rem-cbrt-cube associate-/l/
Counts
4 → 1103
Calls
4 calls:
87.0ms
(pow (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) 3)
43.0ms
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
22.0ms
(/ x (sqrt (+ x y)))
101.0ms
(cbrt (pow (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) 3))

series489.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(pow (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) 3)
91.0ms
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
101.0ms
(/ x (sqrt (+ x y)))
130.0ms
(cbrt (pow (/ (/ x (sqrt (+ x y))) (sqrt (+ x y))) 3))

simplify1.9s

Counts
1115 → 1115
Iterations

Useful iterations: done (1.8s)

IterNodesCost
071632348
1292626474
done500223362

prune2.4s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes119.0ms

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

sample606.0ms

Algorithm
intervals
Results
239.0ms8000×body80valid