Details

Time bar (total: 2.1s)

sample18.0ms

Algorithm
intervals
Results
3.0ms256×body80valid
3.0ms234×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune1.0ms

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))

rewrite8.0ms

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:
7.0ms
(sqrt (+ x y))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(sqrt (+ x y))

simplify71.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
012295
130386
296983
3287778
4500278

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

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))))

rewrite78.0ms

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:
7.0ms
(sqrt (+ x y))
8.0ms
(sqrt (sqrt (+ x y)))
8.0ms
(sqrt (sqrt (+ x y)))
47.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series592.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ x y))
179.0ms
(sqrt (sqrt (+ x y)))
349.0ms
(sqrt (sqrt (+ x y)))
32.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify55.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0345868
11430786
25002772

prune255.0ms

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))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×cbrt-prod sqrt-prod
17×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×expm1-log1p-u pow-unpow pow-pow flip3-+ flip-+ log1p-expm1-u 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 hypot-def rem-cube-cbrt
Counts
3 → 90
Calls
3 calls:
7.0ms
(sqrt (+ x y))
12.0ms
(pow (sqrt (+ x y)) 3)
9.0ms
(cbrt (pow (sqrt (+ x y)) 3))

series115.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(sqrt (+ x y))
52.0ms
(pow (sqrt (+ x y)) 3)
32.0ms
(cbrt (pow (sqrt (+ x y)) 3))

simplify35.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0305456
11013406
25001387

prune138.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

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

sample517.0ms

Algorithm
intervals
Results
106.0ms8000×body80valid
96.0ms7930×body80nan