Details

Time bar (total: 40.9s)

sample46.0ms

Algorithm
intervals
Results
30.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite24.0ms

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:
22.0ms
(/ x (+ x y))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ x (+ x y))

simplify8.3s

Counts
36 → 36
Iterations
IterNodes
done5003
31823
2391
1128
059

prune336.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite109.0ms

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:
24.0ms
(/ 1 (+ x y))
78.0ms
(* x (/ 1 (+ x y)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ 1 (+ x y))
87.0ms
(* x (/ 1 (+ x y)))

simplify4.6s

Counts
84 → 84
Iterations
IterNodes
done5093
32402
2718
1237
095

prune450.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
7.4b
(cbrt (/ x (+ x y)))
7.4b
(cbrt (/ x (+ x y)))
7.4b
(cbrt (/ x (+ x y)))

rewrite190.0ms

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:
121.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
18.0ms
(cbrt (/ x (+ x y)))
12.0ms
(cbrt (/ x (+ x y)))
12.0ms
(cbrt (/ x (+ x y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
278.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
244.0ms
(cbrt (/ x (+ x y)))
254.0ms
(cbrt (/ x (+ x y)))
262.0ms
(cbrt (/ x (+ x y)))

simplify7.2s

Counts
192 → 192
Iterations
IterNodes
done5000
42620
31109
2560
1281
0163

prune2.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize341.0ms

Local error

Found 4 expressions with local error:

7.4b
(cbrt (/ x (+ x y)))
7.4b
(cbrt (/ x (+ x y)))
7.4b
(cbrt (/ x (+ x y)))
7.4b
(cbrt (* (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y)))))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
46×*-un-lft-identity
36×times-frac
28×add-sqr-sqrt add-cube-cbrt
22×cbrt-div
distribute-lft-out
associate-/r/
frac-times associate-*l/
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
flip3-+ associate-*r/ flip-+ div-inv
pow3 rem-cbrt-cube
Counts
4 → 98
Calls
4 calls:
12.0ms
(cbrt (/ x (+ x y)))
12.0ms
(cbrt (/ x (+ x y)))
12.0ms
(cbrt (/ x (+ x y)))
157.0ms
(cbrt (* (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y)))))

series980.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt (/ x (+ x y)))
234.0ms
(cbrt (/ x (+ x y)))
243.0ms
(cbrt (/ x (+ x y)))
237.0ms
(cbrt (* (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y)))))

simplify10.2s

Counts
110 → 110
Iterations
IterNodes
done5042
54102
41396
3509
2253
1166
0108

prune2.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes381.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample1.2s

Algorithm
intervals
Results
896.0ms8000×body80valid