Details

Time bar (total: 14.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
associate-/r* distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
17.0ms
(/ x (+ x y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ x (+ x y))

simplify5.2s

Counts
36 → 36
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
059324
1119305
2270287
3550287
41428287
54626287
done5000287

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(* x (/ 1 (+ x y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
add-cbrt-cube
distribute-lft-out
pow1
div-exp prod-exp associate-/r* associate-/r/
associate-*l* associate-/l* unswap-sqr
cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
13.0ms
(/ 1 (+ x y))
39.0ms
(* x (/ 1 (+ x y)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ 1 (+ x y))
75.0ms
(* x (/ 1 (+ x y)))

simplify4.4s

Counts
84 → 84
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
095755
1220579
2449517
3905517
41928517
done5001517

prune148.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
5.9b
(cbrt (/ x (+ x y)))
5.9b
(cbrt (/ x (+ x y)))
5.9b
(cbrt (/ x (+ x y)))

rewrite119.0ms

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
pow1/3 unswap-sqr
cbrt-div flip3-+ flip-+ div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 180
Calls
4 calls:
72.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
7.0ms
(cbrt (/ x (+ x y)))
11.0ms
(cbrt (/ x (+ x y)))
16.0ms
(cbrt (/ x (+ x y)))

series703.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
166.0ms
(cbrt (/ x (+ x y)))
188.0ms
(cbrt (/ x (+ x y)))
163.0ms
(cbrt (/ x (+ x y)))

simplify2.6s

Counts
192 → 192
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01633060
12602837
26712749
311612617
424462597
done50012486

prune501.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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

sample599.0ms

Algorithm
intervals
Results
284.0ms8000×body80valid