Details

Time bar (total: 2.3s)

analyze310.0ms (13.3%)

Algorithm
1×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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%48%8.7%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%23.7%15%13
65%19.8%15.3%14

sample17.0ms (0.7%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
1.0ms18×body80invalid

simplify27.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05659
15659

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.4b
(* (* (- y x) 6.0) z)

rewrite19.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls

3 calls:

7.0ms
(* (* (- y x) 6.0) z)
7.0ms
(* (- y x) 6.0)
4.0ms
(+ x (* (* (- y x) 6.0) z))

series22.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

9.0ms
(+ x (* (* (- y x) 6.0) z))
8.0ms
(* (* (- y x) 6.0) z)
4.0ms
(* (- y x) 6.0)

simplify31.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05384521

prune96.0ms (4.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57562
Fresh000
Picked011
Done000
Total57663

Merged error: 0.0b

Counts
63 → 6

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.2b
(* (- y x) (* 6.0 z))

rewrite12.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls

2 calls:

7.0ms
(* (- y x) (* 6.0 z))
3.0ms
(+ x (* (- y x) (* 6.0 z)))

series19.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

10.0ms
(* (- y x) (* 6.0 z))
9.0ms
(+ x (* (- y x) (* 6.0 z)))

simplify28.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05378376

prune65.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh044
Picked011
Done011
Total38745

Merged error: 0.0b

Counts
45 → 7

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
3.9b
(cbrt (* (* (- y x) 6.0) z))
3.9b
(cbrt (* (* (- y x) 6.0) z))
3.9b
(cbrt (* (* (- y x) 6.0) z))

rewrite29.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
38×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls

4 calls:

8.0ms
(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
6.0ms
(cbrt (* (* (- y x) 6.0) z))
6.0ms
(cbrt (* (* (- y x) 6.0) z))
6.0ms
(cbrt (* (* (- y x) 6.0) z))

series174.0ms (7.5%)

Counts
4 → 12
Calls

4 calls:

60.0ms
(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
39.0ms
(cbrt (* (* (- y x) 6.0) z))
39.0ms
(cbrt (* (* (- y x) 6.0) z))
37.0ms
(cbrt (* (* (- y x) 6.0) z))

simplify50.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049561142
149561142

prune199.0ms (8.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New82284
Fresh044
Picked011
Done022
Total82991

Merged error: 0b

Counts
91 → 9

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.1b
(pow (cbrt (cbrt (* (* (- y x) 6.0) z))) 5)
3.9b
(cbrt (* (* (- y x) 6.0) z))
3.9b
(cbrt (* (* (- y x) 6.0) z))
3.9b
(cbrt (* (* (- y x) 6.0) z))

rewrite27.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
12×associate-*l/
8×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
6×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 → 55
Calls

4 calls:

8.0ms
(cbrt (* (* (- y x) 6.0) z))
6.0ms
(cbrt (* (* (- y x) 6.0) z))
6.0ms
(cbrt (* (* (- y x) 6.0) z))
5.0ms
(pow (cbrt (cbrt (* (* (- y x) 6.0) z))) 5)

series235.0ms (10.1%)

Counts
4 → 12
Calls

4 calls:

117.0ms
(pow (cbrt (cbrt (* (* (- y x) 6.0) z))) 5)
42.0ms
(cbrt (* (* (- y x) 6.0) z))
39.0ms
(cbrt (* (* (- y x) 6.0) z))
38.0ms
(cbrt (* (* (- y x) 6.0) z))

simplify36.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05048909

prune201.0ms (8.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New67067
Fresh055
Picked011
Done033
Total67976

Merged error: 0b

Counts
76 → 9

regimes269.0ms (11.5%)

Accuracy

Total 0.2b remaining (89.1%)

Threshold costs 0.2b (89.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1219

end0.0ms (0%)

sample420.0ms (18%)

Algorithm
1×intervals
Results
225.0ms8000×body80valid
15.0ms582×body80invalid

Profiling

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