Details

Time bar (total: 9.3s)

sample19.0ms

Algorithm
intervals
Results
10.0ms284×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
2117
3137
done137

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
28×distribute-lft-out
15×distribute-rgt-out
12×associate-/r*
5×distribute-lft1-in count-2 distribute-rgt1-in
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 80
Calls
1 calls:
27.0ms
(/ (+ x y) (+ y y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (+ x y) (+ y y))

simplify2.8s

Counts
83 → 83
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01121073
1234974
2742945
34527943
done5000942

prune162.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1/2 (/ x y)) 1/2)
0.0b
(* 1/2 (/ x y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
18.0ms
(+ (* 1/2 (/ x y)) 1/2)
14.0ms
(* 1/2 (/ x y))

series50.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* 1/2 (/ x y)) 1/2)
25.0ms
(* 1/2 (/ x y))

simplify2.8s

Counts
49 → 49
Iterations

Useful iterations: done (2.8s)

IterNodesCost
087443
1241397
2830369
34004364
done5001362

prune115.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
7.0b
(cbrt (/ x y))
7.0b
(cbrt (/ x y))
7.0b
(cbrt (/ x y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
32.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series473.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
114.0ms
(cbrt (/ x y))
100.0ms
(cbrt (/ x y))
102.0ms
(cbrt (/ x y))

simplify1.4s

Counts
156 → 156
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01611876
12831747
212181675
done50001646

prune578.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

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
067
187
done87

end0.0ms

sample667.0ms

Algorithm
intervals
Results
298.0ms9223×body80valid