Details

Time bar (total: 13.2s)

sample27.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
38.0ms
(/ (- x y) (+ x y))

series107.0ms

Counts
1 → 3
Calls
1 calls:
107.0ms
(/ (- x y) (+ x y))

simplify2.6s

Counts
49 → 49
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
078600
1188573
2463545
31100545
42967538
done5000538

prune88.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
21.0ms
(/ x (+ x y))
20.0ms
(/ y (+ x y))
99.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ x (+ x y))
42.0ms
(/ y (+ x y))
116.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.3s

Counts
103 → 103
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
01301135
12611070
25601028
311971028
434561024
done50011024

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (/ y (+ x y)))
0.1b
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
8.8b
(sqrt (/ x (+ x y)))
8.8b
(sqrt (/ x (+ x y)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
134×sqrt-prod
114×*-un-lft-identity
97×add-sqr-sqrt
93×times-frac
60×add-cube-cbrt
29×swap-sqr
24×distribute-lft-out
21×pow1 associate-*r* associate-*l*
12×associate-/r/
10×sqrt-pow1 pow1/2 sqrt-div
9×unswap-sqr
6×add-exp-log flip3-+ add-cbrt-cube flip-+ div-inv add-log-exp
5×pow-prod-up
4×rem-sqrt-square
3×pow-prod-down pow-sqr frac-sub
2×frac-times associate-*r/ associate-*l/ difference-of-squares
1×pow2 sub-neg flip3-- pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative flip-- cbrt-unprod
Counts
4 → 185
Calls
4 calls:
46.0ms
(- (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (/ y (+ x y)))
72.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
12.0ms
(sqrt (/ x (+ x y)))
14.0ms
(sqrt (/ x (+ x y)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (/ y (+ x y)))
43.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
65.0ms
(sqrt (/ x (+ x y)))
70.0ms
(sqrt (/ x (+ x y)))

simplify2.0s

Counts
197 → 197
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01993335
13632231
210842117
330882070
done50002051

prune442.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (sqrt (/ x (+ x y))) 3)
8.0b
(cbrt (pow (sqrt (/ x (+ x y))) 3))
8.8b
(sqrt (/ x (+ x y)))
8.8b
(sqrt (/ x (+ x y)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
108×sqrt-prod
94×*-un-lft-identity
74×times-frac
64×add-sqr-sqrt
58×add-cube-cbrt
48×cbrt-prod
42×unpow-prod-down cube-prod
18×distribute-lft-out
12×associate-/r/
8×pow1
6×flip3-+ flip-+ div-inv
5×add-exp-log add-cbrt-cube
4×rem-sqrt-square sqrt-div add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 181
Calls
4 calls:
27.0ms
(pow (sqrt (/ x (+ x y))) 3)
17.0ms
(cbrt (pow (sqrt (/ x (+ x y))) 3))
12.0ms
(sqrt (/ x (+ x y)))
12.0ms
(sqrt (/ x (+ x y)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(pow (sqrt (/ x (+ x y))) 3)
96.0ms
(cbrt (pow (sqrt (/ x (+ x y))) 3))
90.0ms
(sqrt (/ x (+ x y)))
85.0ms
(sqrt (/ x (+ x y)))

simplify2.8s

Counts
193 → 193
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01702850
13772188
26932097
331002085
done50002061

prune567.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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
0611
1711
done711

end0.0ms

sample644.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid