Details

Time bar (total: 4.8s)

sample9.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite14.0ms

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:
13.0ms
(+ (+ 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

prune27.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite104.0ms

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:
74.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
8.0ms
(cbrt (+ (+ x y) x))
9.0ms
(cbrt (+ (+ x y) x))
9.0ms
(cbrt (+ (+ x y) x))

series866.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
204.0ms
(cbrt (+ (+ x y) x))
202.0ms
(cbrt (+ (+ x y) x))
206.0ms
(cbrt (+ (+ x y) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0280982
11048931
25001832

prune240.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
28×cbrt-prod
12×distribute-lft-out
10×cbrt-div
9×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 63
Calls
4 calls:
8.0ms
(cbrt (+ (+ x y) x))
12.0ms
(cbrt (+ (+ x y) x))
8.0ms
(cbrt (+ (+ x y) x))
9.0ms
(cbrt (cbrt (+ (+ x y) x)))

series921.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (+ (+ x y) x))
218.0ms
(cbrt (+ (+ x y) x))
211.0ms
(cbrt (+ (+ x y) x))
281.0ms
(cbrt (cbrt (+ (+ x y) x)))

simplify72.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0223547
1597517
22341505
35001491

prune254.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
146×cbrt-div
40×cbrt-prod
30×flip3-+ flip-+
28×frac-times
25×*-un-lft-identity
14×associate-*l/
10×add-sqr-sqrt add-cube-cbrt
9×distribute-lft-out
8×associate-*r/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
1×pow3 rem-cbrt-cube
Counts
4 → 90
Calls
4 calls:
9.0ms
(cbrt (cbrt (+ (+ x y) x)))
9.0ms
(cbrt (cbrt (+ (+ x y) x)))
9.0ms
(cbrt (cbrt (+ (+ x y) x)))
101.0ms
(cbrt (* (* (cbrt (cbrt (+ (+ x y) x))) (cbrt (cbrt (+ (+ x y) x)))) (cbrt (cbrt (+ (+ x y) x)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt (cbrt (+ (+ x y) x)))
285.0ms
(cbrt (cbrt (+ (+ x y) x)))
283.0ms
(cbrt (cbrt (+ (+ x y) x)))
284.0ms
(cbrt (* (* (cbrt (cbrt (+ (+ x y) x))) (cbrt (cbrt (+ (+ x y) x)))) (cbrt (cbrt (+ (+ x y) x)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
02931695
15631637
218191471
350011463

prune360.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

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

sample228.0ms

Algorithm
intervals
Results
107.0ms8007×body80valid