Details

Time bar (total: 2.0s)

analyze360.0ms (17.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56%4%10
47.3%48.7%4%11
48.4%45.8%5.8%12
58.6%32.4%9%13
63.4%27.5%9%14

sample17.0ms (0.8%)

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms17×body80invalid

simplify117.0ms (5.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
051987

prune10.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+ x (* x (/ y z)))
7.0b
(* x (/ y z))

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 43
Calls

2 calls:

6.0ms
(* x (/ y z))
3.0ms
(+ x (* x (/ y z)))

series11.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(+ x (* x (/ y z)))
5.0ms
(* x (/ y z))

simplify64.0ms (3.2%)

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04979371
14979371

prune77.0ms (3.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh101
Picked011
Done000
Total45651

Merged error: 0.0b

Counts
51 → 6

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.9b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
12.4b
(cbrt (/ y z))
12.4b
(cbrt (/ y z))
12.4b
(cbrt (/ y z))

rewrite19.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
cbrt-div add-cbrt-cube
associate-*r/ add-log-exp
pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 88
Calls

4 calls:

10.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series66.0ms (3.3%)

Counts
4 → 12
Calls

4 calls:

27.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
13.0ms
(cbrt (/ y z))
13.0ms
(cbrt (/ y z))
13.0ms
(cbrt (/ y z))

simplify41.0ms (2%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05027774

prune133.0ms (6.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh044
Picked011
Done011
Total997106

Merged error: 0b

Counts
106 → 7

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* x y) z))
6.2b
(/ (* x y) z)

rewrite9.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv div-exp
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls

2 calls:

4.0ms
(+ x (/ (* x y) z))
4.0ms
(/ (* x y) z)

series12.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(+ x (/ (* x y) z))
5.0ms
(/ (* x y) z)

simplify47.0ms (2.4%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05188299

prune58.0ms (2.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New38139
Fresh134
Picked011
Done022
Total39746

Merged error: 0b

Counts
46 → 7

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.4b
(/ (* x (/ y (* (cbrt z) (cbrt z)))) (cbrt z))
4.0b
(* x (/ y (* (cbrt z) (cbrt z))))

rewrite22.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-cbrt-cube
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×cbrt-prod
10×times-frac
cbrt-undiv div-exp prod-exp cbrt-unprod
associate-*r*
pow1 associate-/r*
add-log-exp
associate-*l*
pow1/3 associate-*r/ div-inv unswap-sqr
frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
4 → 82
Calls

4 calls:

9.0ms
(/ (* x (/ y (* (cbrt z) (cbrt z)))) (cbrt z))
8.0ms
(* x (/ y (* (cbrt z) (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series84.0ms (4.2%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(* x (/ y (* (cbrt z) (cbrt z))))
24.0ms
(cbrt z)
22.0ms
(cbrt z)
9.0ms
(/ (* x (/ y (* (cbrt z) (cbrt z)))) (cbrt z))

simplify88.0ms (4.3%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04927669
14927669

prune111.0ms (5.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New93194
Fresh213
Picked101
Done033
Total965101

Merged error: 0b

Counts
101 → 5

regimes169.0ms (8.4%)

Accuracy

Total 2.2b remaining (99%)

Threshold costs 0b (0%)

bsearch26.0ms (1.3%)

Steps
ItersRangePoint
7
1.2684971630010544e+101
1.668908742022923e+103
1.652141365346291e+102
8
-2.0087521933162686e-163
-6.008596786915816e-166
-1.099407840975313e-163

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02223
12223

end0.0ms (0%)

sample431.0ms (21.4%)

Algorithm
intervals
Results
218.0ms8000×body80valid
20.0ms784×body80invalid

Profiling

Loading profile data...