Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms246×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))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(sqrt (+ x y))

simplify69.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
011389
127581
283678
3236173
4500273

prune35.0ms

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))))

rewrite78.0ms

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)))
49.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series414.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (+ x y))
172.0ms
(sqrt (sqrt (+ x y)))
175.0ms
(sqrt (sqrt (+ x y)))
35.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify53.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0329840
11353762
25002746

prune221.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
38.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series492.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
119.0ms
(cbrt (+ x y))
113.0ms
(cbrt (+ x y))
112.0ms
(cbrt (+ x y))

simplify139.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0246671
1881634
24190584
35001580

prune311.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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

sample532.0ms

Algorithm
intervals
Results
108.0ms8000×body80valid
94.0ms7946×body80nan