Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms265×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity sqrt-prod
3×add-sqr-sqrt
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
4.0ms
(sqrt (+ x y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(sqrt (+ x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
011389
127581
283678
3236173
4500273

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ x y)))
0.4b
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
18×cbrt-prod
16×sqrt-prod
12×add-cube-cbrt
10×associate-*r*
8×cbrt-div
7×pow1
6×add-exp-log add-cbrt-cube
4×flip3-+ sqrt-div flip-+ distribute-lft-out add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 78
Calls
4 calls:
4.0ms
(sqrt (cbrt (+ x y)))
16.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series557.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(sqrt (cbrt (+ x y)))
179.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
121.0ms
(cbrt (+ x y))
120.0ms
(cbrt (+ x y))

simplify110.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0314621
11040589
24231582
35001568

prune241.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x y))
0.5b
(pow (sqrt (+ x y)) 3)
21.3b
(cbrt (pow (sqrt (+ x y)) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×cbrt-prod sqrt-prod
15×add-sqr-sqrt
14×add-cube-cbrt unpow-prod-down cube-prod
6×pow1 sqrt-div
5×distribute-lft-out
4×add-exp-log cube-div add-cbrt-cube
3×pow-unpow pow-pow flip3-+ flip-+ add-log-exp
2×cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
1×pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 83
Calls
3 calls:
4.0ms
(sqrt (+ x y))
8.0ms
(pow (sqrt (+ x y)) 3)
6.0ms
(cbrt (pow (sqrt (+ x y)) 3))

series126.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(sqrt (+ x y))
58.0ms
(pow (sqrt (+ x y)) 3)
34.0ms
(cbrt (pow (sqrt (+ x y)) 3))

simplify36.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0288436
1967390
25001374

prune130.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052
152

end0.0ms

sample482.0ms

Algorithm
intervals
Results
118.0ms8000×body80valid
111.0ms8041×body80nan