Details

Time bar (total: 9.5s)

sample24.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune2.0ms

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 (+ y x))

rewrite8.0ms

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-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
8.0ms
(/ x (+ y x))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ x (+ y x))

simplify1.4s

Counts
37 → 37
Iterations
IterNodes
done5000
32095
2421
1129
060

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp associate-/l/
1×flip3-+ associate-/r/ flip-+ pow-flip inv-pow
Counts
2 → 123
Calls
2 calls:
27.0ms
(/ (+ y x) x)
10.0ms
(/ 1 (/ (+ y x) x))

series70.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (+ y x) x)
48.0ms
(/ 1 (/ (+ y x) x))

simplify891.0ms

Counts
129 → 129
Iterations
IterNodes
done5001
21842
1402
0158

prune317.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (/ x (+ x y)) (* (/ x (+ x y)) (/ x (+ x y))))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
12.9b
(cbrt (* (/ x (+ x y)) (* (/ x (+ x y)) (/ x (+ x y)))))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
113×*-un-lft-identity
89×times-frac
72×add-sqr-sqrt
59×add-cbrt-cube add-exp-log
57×add-cube-cbrt
36×associate-*l*
25×pow1 distribute-lft-out
24×swap-sqr
22×prod-exp cbrt-unprod
19×associate-*r*
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*r/
7×cbrt-div associate-*l/
6×flip3-+ pow-prod-up flip-+ div-inv unswap-sqr
4×associate-/r* pow-prod-down insert-posit16 add-log-exp
3×associate-/l*
2×pow2 pow-plus cube-unmult pow-sqr *-commutative
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 205
Calls
4 calls:
17.0ms
(/ x (+ x y))
70.0ms
(* (/ x (+ x y)) (* (/ x (+ x y)) (/ x (+ x y))))
55.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
66.0ms
(cbrt (* (/ x (+ x y)) (* (/ x (+ x y)) (/ x (+ x y)))))

series393.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ x (+ x y))
133.0ms
(* (/ x (+ x y)) (* (/ x (+ x y)) (/ x (+ x y))))
118.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
77.0ms
(cbrt (* (/ x (+ x y)) (* (/ x (+ x y)) (/ x (+ x y)))))

simplify1.4s

Counts
217 → 217
Iterations
IterNodes
done5001
1727
0207

prune820.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
12.9b
(cbrt (* (/ x (+ x y)) (* (* (/ x (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt x) (cbrt (+ x y))))))

rewrite564.0ms

Algorithm
rewrite-expression-head
Rules
17×frac-times
15×cbrt-div
13×associate-*r/
11×associate-*l/
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
558.0ms
(cbrt (* (/ x (+ x y)) (* (* (/ x (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt x) (cbrt (+ x y))))))

series759.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt x)
232.0ms
(cbrt x)
231.0ms
(cbrt x)
56.0ms
(cbrt (* (/ x (+ x y)) (* (* (/ x (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt x) (cbrt (+ x y))))))

simplify1.1s

Counts
73 → 73
Iterations
IterNodes
done5000
2911
1243
0107

prune381.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample621.0ms

Algorithm
intervals
Results
449.0ms8000×body80valid