Details

Time bar (total: 4.0s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
072
1102
2122
3132
4132

prune2.0ms

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)

rewrite7.0ms

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:
6.0ms
(+ (+ x y) x)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ (+ x y) x)

simplify100.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune23.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:
16.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
6.0ms
(cbrt (+ (+ x y) x))
5.0ms
(cbrt (+ (+ x y) x))
8.0ms
(cbrt (+ (+ x y) x))

series851.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
206.0ms
(cbrt (+ (+ x y) x))
201.0ms
(cbrt (+ (+ x y) x))
203.0ms
(cbrt (+ (+ x y) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0280982
11048931
25001832

prune229.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×cbrt-prod
12×distribute-lft-out
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
6.0ms
(cbrt (+ (+ x y) x))
6.0ms
(cbrt (+ (+ x y) x))
6.0ms
(cbrt (+ (+ x y) x))
5.0ms
(cbrt (+ (+ x y) x))

series833.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (+ (+ x y) x))
210.0ms
(cbrt (+ (+ x y) x))
209.0ms
(cbrt (+ (+ x y) x))
204.0ms
(cbrt (+ (+ x y) x))

simplify51.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0148492
1405464
21567452
35001436

prune237.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×cbrt-prod
12×distribute-lft-out
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
6.0ms
(cbrt (+ (+ x y) x))
6.0ms
(cbrt (+ (+ x y) x))
6.0ms
(cbrt (+ (+ x y) x))
5.0ms
(cbrt (+ (+ x y) x))

series851.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(cbrt (+ (+ x y) x))
210.0ms
(cbrt (+ (+ x y) x))
207.0ms
(cbrt (+ (+ x y) x))
215.0ms
(cbrt (+ (+ x y) x))

simplify50.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0148492
1405464
21567452
35001436

prune238.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

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
062
162

end0.0ms

sample223.0ms

Algorithm
intervals
Results
107.0ms8004×body80valid