Details

Time bar (total: 5.3s)

sample19.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms241×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044
154
done54

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-prod
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 19
Calls
1 calls:
4.0ms
(sqrt (+ x y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(sqrt (+ x y))

simplify2.5s

Counts
22 → 22
Iterations

Useful iterations: 5 (1.6s)

IterNodesCost
055184
1124160
2288155
3704146
41739142
54403141
done5000141

prune49.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
0.5b
(cbrt (sqrt (+ x y)))
0.5b
(cbrt (sqrt (+ x y)))
0.5b
(cbrt (sqrt (+ x y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod
44×add-sqr-sqrt
42×*-un-lft-identity
40×sqrt-prod
22×add-cube-cbrt
18×cbrt-div sqrt-div
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
26.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))

series536.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
125.0ms
(cbrt (sqrt (+ x y)))
127.0ms
(cbrt (sqrt (+ x y)))
127.0ms
(cbrt (sqrt (+ x y)))

simplify1.2s

Counts
140 → 140
Iterations

Useful iterations: 3 (470.0ms)

IterNodesCost
01412042
12881838
27931730
324961611
done50001611

prune317.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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
044
154
done54

end0.0ms

sample477.0ms

Algorithm
intervals
Results
124.0ms8000×body80valid
113.0ms7924×body80nan