Details

Time bar (total: 10.7s)

sample28.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite15.0ms

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:
14.0ms
(/ x (+ x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ x (+ x y))

simplify1.5s

Counts
38 → 38
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
061336
1131317
2433299
32441299
done5001299

prune149.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

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:
23.0ms
(/ x (+ x y))
84.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
23.0ms
(sqrt (/ x (+ x y)))
12.0ms
(sqrt (/ x (+ x y)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ x (+ x y))
70.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
99.0ms
(sqrt (/ x (+ x y)))
88.0ms
(sqrt (/ x (+ x y)))

simplify1.4s

Counts
221 → 221
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01833207
13492259
216782131
done50012102

prune878.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (/ x (+ x y)))
0.0b
(expm1 (log1p (/ x (+ x y))))
0.0b
(/ x (+ x y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-/r* distribute-lft-out
3×pow1 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-+ div-inv expm1-udef
Counts
3 → 57
Calls
3 calls:
1.0ms
(log1p (/ x (+ x y)))
1.0ms
(expm1 (log1p (/ x (+ x y))))
14.0ms
(/ x (+ x y))

series295.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(log1p (/ x (+ x y)))
138.0ms
(expm1 (log1p (/ x (+ x y))))
69.0ms
(/ x (+ x y))

simplify2.2s

Counts
66 → 66
Iterations

Useful iterations: 2 (466.0ms)

IterNodesCost
082538
1160493
2474453
32533453
done5000453

prune343.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (cbrt (pow (log1p (/ x (+ x y))) 3)))
0.0b
(/ x (+ x y))
0.6b
(pow (log1p (/ x (+ x y))) 3)
14.4b
(cbrt (pow (log1p (/ x (+ x y))) 3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
19×add-sqr-sqrt add-cube-cbrt
12×cbrt-prod times-frac
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
5×pow1 log1p-expm1-u
4×expm1-log1p-u associate-/r* distribute-lft-out add-log-exp
3×pow-unpow associate-/l*
2×cube-mult unpow3 associate-/r/ sqr-pow
1×cbrt-undiv pow-to-exp expm1-log1p pow-pow frac-2neg flip3-+ pow1/3 div-exp pow-exp clear-num rem-cbrt-cube flip-+ div-inv expm1-udef rem-cube-cbrt
Counts
4 → 94
Calls
4 calls:
1.0ms
(expm1 (cbrt (pow (log1p (/ x (+ x y))) 3)))
22.0ms
(/ x (+ x y))
5.0ms
(pow (log1p (/ x (+ x y))) 3)
5.0ms
(cbrt (pow (log1p (/ x (+ x y))) 3))

series763.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(expm1 (cbrt (pow (log1p (/ x (+ x y))) 3)))
54.0ms
(/ x (+ x y))
510.0ms
(pow (log1p (/ x (+ x y))) 3)
104.0ms
(cbrt (pow (log1p (/ x (+ x y))) 3))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: 2 (244.0ms)

IterNodesCost
01181170
1266974
21208848
done5002848

prune443.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

end0.0ms

sample629.0ms

Algorithm
intervals
Results
239.0ms8000×body80valid