Details

Time bar (total: 12.1s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
155
done55

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite6.0ms

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:
5.0ms
(/ x (+ x y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ x (+ x y))

simplify2.7s

Counts
38 → 38
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
061336
1122317
2259299
3542299
41300299
54958299
done5000299

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
8.6b
(cbrt (/ x (+ x y)))
8.6b
(cbrt (/ x (+ x y)))
8.6b
(cbrt (/ x (+ x y)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 188
Calls
4 calls:
39.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
3.0ms
(cbrt (/ x (+ x y)))
3.0ms
(cbrt (/ x (+ x y)))
4.0ms
(cbrt (/ x (+ x y)))

series536.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
128.0ms
(cbrt (/ x (+ x y)))
131.0ms
(cbrt (/ x (+ x y)))
125.0ms
(cbrt (/ x (+ x y)))

simplify2.2s

Counts
200 → 200
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
01673130
12692901
26972813
317772673
431892653
done50002653

prune483.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
29×*-un-lft-identity
23×add-sqr-sqrt
15×add-cube-cbrt
12×cbrt-div
11×pow1
9×pow1/3 swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log flip3-+ flip-+ distribute-lft-out
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
20.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

series719.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
178.0ms
(cbrt x)
187.0ms
(cbrt x)
172.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify2.1s

Counts
106 → 106
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
01161016
1230907
2565855
31463787
44372781
done5000781

prune288.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
8.4b
(sqrt (/ x (+ x y)))
8.4b
(sqrt (/ x (+ x y)))

rewrite70.0ms

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×expm1-log1p-u rem-sqrt-square associate-/r* log1p-expm1-u 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 → 209
Calls
4 calls:
5.0ms
(/ x (+ x y))
41.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
6.0ms
(sqrt (/ x (+ x y)))
6.0ms
(sqrt (/ x (+ x y)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ x (+ x y))
45.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
56.0ms
(sqrt (/ x (+ x y)))
63.0ms
(sqrt (/ x (+ x y)))

simplify1.9s

Counts
221 → 221
Iterations

Useful iterations: 3 (981.0ms)

IterNodesCost
01833207
13012251
28832129
328312090
done50002090

prune416.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes46.0ms

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

sample257.0ms

Algorithm
intervals
Results
131.0ms8000×body80valid