Details

Time bar (total: 1.9s)

sample32.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms234×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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite8.0ms

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:
7.0ms
(sqrt (+ x y))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(sqrt (+ x y))

simplify70.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
011389
127581
283678
3236173
4500273

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.1b
(sqrt (sqrt (+ x y)))
0.1b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
56×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×add-cube-cbrt pow1/2
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×frac-times add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
7.0ms
(sqrt (+ x y))
8.0ms
(sqrt (sqrt (+ x y)))
8.0ms
(sqrt (sqrt (+ x y)))
50.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ x y))
183.0ms
(sqrt (sqrt (+ x y)))
180.0ms
(sqrt (sqrt (+ x y)))
36.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0329840
11353762
25002746

prune240.0ms

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)
18.8b
(cbrt (pow (sqrt (+ x y)) 3))

rewrite29.0ms

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:
7.0ms
(sqrt (+ x y))
10.0ms
(pow (sqrt (+ x y)) 3)
10.0ms
(cbrt (pow (sqrt (+ x y)) 3))

series114.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(sqrt (+ x y))
48.0ms
(pow (sqrt (+ x y)) 3)
35.0ms
(cbrt (pow (sqrt (+ x y)) 3))

simplify39.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0288436
1967390
25001374

prune124.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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

sample530.0ms

Algorithm
intervals
Results
109.0ms8000×body80valid
98.0ms7930×body80nan