Details

Time bar (total: 2.1s)

sample18.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms250×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))

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))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(sqrt (+ x y))

simplify73.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
012295
130386
296983
3287778
4500278

prune39.0ms

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))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
58×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×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod hypot-def
Counts
4 → 157
Calls
4 calls:
4.0ms
(sqrt (+ x y))
5.0ms
(sqrt (sqrt (+ x y)))
5.0ms
(sqrt (sqrt (+ x y)))
32.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (+ x y))
393.0ms
(sqrt (sqrt (+ x y)))
194.0ms
(sqrt (sqrt (+ x y)))
40.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0345868
11409786
25001772

prune254.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x y) (+ x y))
32.6b
(pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
55×*-un-lft-identity
43×add-sqr-sqrt pow-unpow
41×add-cube-cbrt
17×pow1
7×add-exp-log
6×pow-pow flip3-+ swap-sqr flip-+ distribute-lft-out
4×frac-times associate-*r* associate-*l* add-cbrt-cube div-inv
2×pow2 expm1-log1p-u pow-plus associate-*r/ pow-prod-down associate-*l/ pow-exp prod-exp pow-sqr pow-prod-up log1p-expm1-u add-log-exp
1×distribute-rgt-in pow-to-exp unpow-prod-down distribute-lft-in *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
2 → 105
Calls
2 calls:
17.0ms
(* (+ x y) (+ x y))
12.0ms
(pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))

series100.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ x y) (+ x y))
87.0ms
(pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))

simplify64.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0577674
12425607
25001563

prune197.0ms

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

sample459.0ms

Algorithm
intervals
Results
115.0ms8000×body80valid
101.0ms7874×body80nan