Details

Time bar (total: 3.5s)

sample18.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms294×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))

rewrite3.0ms

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:
3.0ms
(sqrt (+ x y))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(sqrt (+ x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
011389
127581
283678
3236173
4500273

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

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))

rewrite19.0ms

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)))
8.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series583.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(sqrt (cbrt (+ x y)))
189.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
122.0ms
(cbrt (+ x y))
127.0ms
(cbrt (+ x y))

simplify112.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0314621
11040589
24231582
35001568

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt (+ x y)))
0.5b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
18×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
8×cbrt-div sqrt-prod
4×pow1 add-exp-log flip3-+ pow1/3 sqrt-div add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 62
Calls
4 calls:
4.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series508.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (sqrt (+ x y)))
132.0ms
(cbrt (sqrt (+ x y)))
125.0ms
(cbrt (+ x y))
127.0ms
(cbrt (+ x y))

simplify73.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0225458
1621432
22376418
35002414

prune301.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series514.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ x y))
133.0ms
(cbrt (+ x y))
126.0ms
(cbrt (+ x y))
127.0ms
(cbrt (+ x y))

simplify142.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 4 (137.0ms)

IterNodesCost
0124348
1307328
2987320
34141320
45001312

prune237.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes71.0ms

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

sample451.0ms

Algorithm
intervals
Results
110.0ms8000×body80valid
105.0ms8096×body80nan