Details

Time bar (total: 4.6s)

sample19.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify12.0ms

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)

rewrite29.0ms

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:
29.0ms
(+ (+ x y) x)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(+ (+ x y) x)

simplify98.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune22.0ms

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

rewrite185.0ms

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:
131.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
15.0ms
(cbrt (+ (+ x y) x))
15.0ms
(cbrt (+ (+ x y) x))
17.0ms
(cbrt (+ (+ x y) x))

series852.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
202.0ms
(cbrt (+ (+ x y) x))
201.0ms
(cbrt (+ (+ x y) x))
202.0ms
(cbrt (+ (+ x y) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280982
11048931
25001832

prune221.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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:
17.0ms
(cbrt (+ (+ x y) x))
15.0ms
(cbrt (+ (+ x y) x))
16.0ms
(cbrt (+ (+ x y) x))
18.0ms
(cbrt (cbrt (+ (+ x y) x)))

series894.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt (+ (+ x y) x))
204.0ms
(cbrt (+ (+ x y) x))
204.0ms
(cbrt (+ (+ x y) x))
268.0ms
(cbrt (cbrt (+ (+ x y) x)))

simplify68.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0223547
1597517
22341505
35001491

prune238.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (pow (sqrt (cbrt (+ (+ x y) x))) 4) 1) (cbrt (+ (+ x y) x)))
0.4b
(pow (sqrt (cbrt (+ (+ x y) x))) 4)
0.6b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (+ (+ x y) x))

rewrite404.0ms

Algorithm
rewrite-expression-head
Rules
53×unpow-prod-down
42×*-un-lft-identity
41×add-sqr-sqrt
34×cbrt-prod
20×sqrt-prod
19×associate-*l*
17×add-cube-cbrt
15×distribute-lft-out
14×unswap-sqr
13×add-exp-log
8×associate-*r*
7×pow1 sqr-pow
6×cbrt-div
5×pow-exp prod-exp add-cbrt-cube
4×pow-pow add-log-exp
3×pow-to-exp pow-unpow flip3-+ pow1/3 flip-+
2×sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down *-commutative sqrt-pow2 cbrt-unprod
Counts
4 → 117
Calls
4 calls:
332.0ms
(* (pow (pow (sqrt (cbrt (+ (+ x y) x))) 4) 1) (cbrt (+ (+ x y) x)))
37.0ms
(pow (sqrt (cbrt (+ (+ x y) x))) 4)
15.0ms
(cbrt (+ (+ x y) x))
16.0ms
(cbrt (+ (+ x y) x))

series802.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (pow (pow (sqrt (cbrt (+ (+ x y) x))) 4) 1) (cbrt (+ (+ x y) x)))
340.0ms
(pow (sqrt (cbrt (+ (+ x y) x))) 4)
208.0ms
(cbrt (+ (+ x y) x))
208.0ms
(cbrt (+ (+ x y) x))

simplify67.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04381269
117991046
25002885

prune292.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072
172

end0.0ms

sample261.0ms

Algorithm
intervals
Results
101.0ms8003×body80valid