Details

Time bar (total: 4.8s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite13.0ms

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)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ (+ x y) x)

simplify103.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune22.0ms

Pruning

2 alts after pruning (1 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))

rewrite101.0ms

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:
70.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
8.0ms
(cbrt (+ (+ x y) x))
11.0ms
(cbrt (+ (+ x y) x))
8.0ms
(cbrt (+ (+ x y) x))

series853.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
207.0ms
(cbrt (+ (+ x y) x))
204.0ms
(cbrt (+ (+ x y) x))
202.0ms
(cbrt (+ (+ x y) x))

simplify52.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0280982
11048931
25001832

prune235.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
31×*-un-lft-identity
14×cbrt-div
12×distribute-lft-out
11×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 69
Calls
4 calls:
8.0ms
(cbrt (+ (+ x y) x))
9.0ms
(cbrt (cbrt (+ (+ x y) x)))
9.0ms
(cbrt (cbrt (+ (+ x y) x)))
9.0ms
(cbrt (cbrt (+ (+ x y) x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt (+ (+ x y) x))
285.0ms
(cbrt (cbrt (+ (+ x y) x)))
281.0ms
(cbrt (cbrt (+ (+ x y) x)))
284.0ms
(cbrt (cbrt (+ (+ x y) x)))

simplify73.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0223657
1597623
22341611
35001601

prune258.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ x y) x))
0.5b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (cbrt (+ (+ x y) x)))
0.9b
(pow (cbrt (cbrt (+ (+ x y) x))) 4)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
32×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt distribute-lft-out
11×unpow-prod-down
8×cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 74
Calls
4 calls:
9.0ms
(cbrt (+ (+ x y) x))
8.0ms
(cbrt (+ (+ x y) x))
12.0ms
(cbrt (cbrt (+ (+ x y) x)))
18.0ms
(pow (cbrt (cbrt (+ (+ x y) x))) 4)

series1.1s

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (+ (+ x y) x))
210.0ms
(cbrt (+ (+ x y) x))
280.0ms
(cbrt (cbrt (+ (+ x y) x)))
445.0ms
(pow (cbrt (cbrt (+ (+ x y) x))) 4)

simplify150.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0345661
11134625
24942589
35002589

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

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

sample239.0ms

Algorithm
intervals
Results
115.0ms8005×body80valid