Details

Time bar (total: 2.4s)

sample11.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2122
3132
4132

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
27.0ms
(+ (+ x y) x)

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(+ (+ x y) x)

simplify98.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×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 → 105
Calls
4 calls:
138.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
18.0ms
(cbrt (+ (+ x y) x))
16.0ms
(cbrt (+ (+ x y) x))
17.0ms
(cbrt (+ (+ x y) x))

series824.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
193.0ms
(cbrt (+ (+ x y) x))
194.0ms
(cbrt (+ (+ x y) x))
194.0ms
(cbrt (+ (+ x y) x))

simplify47.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0280982
11048931
25001832

prune247.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ x y) x))
0.0b
(+ (+ x y) x)
0.0b
(+ (+ x y) x)
0.2b
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
43×sqrt-prod
33×distribute-lft-out
26×add-sqr-sqrt
20×pow1
16×swap-sqr
14×sqrt-div add-log-exp
13×add-cube-cbrt
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×associate-*r* associate-*l*
6×add-exp-log sum-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+l+ associate-*r/ associate-*l/
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
32.0ms
(sqrt (+ (+ x y) x))
29.0ms
(+ (+ x y) x)
28.0ms
(+ (+ x y) x)
146.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series119.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (+ (+ x y) x))
21.0ms
(+ (+ x y) x)
21.0ms
(+ (+ x y) x)
39.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0249629
11025562
25002546

prune171.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample267.0ms

Algorithm
intervals
Results
102.0ms8004×body80valid