Details

Time bar (total: 2.3s)

analyze336.0ms (14.6%)

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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14

sample17.0ms (0.7%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
1.0ms25×body80invalid

simplify241.0ms (10.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (239.0ms)

IterNodesCost
055207

prune9.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(- x (* x (/ z y)))
5.2b
(* x (/ z y))

rewrite10.0ms (0.4%)

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

2 calls:

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

series15.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(- x (* x (/ z y)))
5.0ms
(* x (/ z y))

simplify25.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05025377

prune82.0ms (3.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New42749
Fresh011
Picked011
Done000
Total42951

Merged error: 0b

Counts
51 → 9

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.9b
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
12.5b
(cbrt (/ z y))
12.5b
(cbrt (/ z y))
12.5b
(cbrt (/ z y))

rewrite18.0ms (0.8%)

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

4 calls:

9.0ms
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
2.0ms
(cbrt (/ z y))
2.0ms
(cbrt (/ z y))
2.0ms
(cbrt (/ z y))

series65.0ms (2.8%)

Counts
4 → 12
Calls

4 calls:

25.0ms
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
15.0ms
(cbrt (/ z y))
13.0ms
(cbrt (/ z y))
12.0ms
(cbrt (/ z y))

simplify37.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05020774

prune134.0ms (5.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh077
Picked011
Done011
Total1009109

Merged error: 0b

Counts
109 → 9

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(* (/ z y) (cbrt x))
3.5b
(* (* (cbrt x) (cbrt x)) (* (/ z y) (cbrt x)))

rewrite22.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
30×add-exp-log
25×add-sqr-sqrt
18×pow1 add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
14×associate-*l*
11×cbrt-prod times-frac
9×pow-prod-down
7×associate-*r*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp
2×pow1/3 associate-*l/ *-commutative
1×associate-*r/ div-inv
Counts
4 → 86
Calls

4 calls:

10.0ms
(* (* (cbrt x) (cbrt x)) (* (/ z y) (cbrt x)))
7.0ms
(* (/ z y) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series71.0ms (3.1%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(cbrt x)
21.0ms
(cbrt x)
18.0ms
(* (/ z y) (cbrt x))
8.0ms
(* (* (cbrt x) (cbrt x)) (* (/ z y) (cbrt x)))

simplify42.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05501600

prune120.0ms (5.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh066
Picked011
Done022
Total989107

Merged error: 0b

Counts
107 → 9

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.6b
(* (* x (* (cbrt z) (cbrt z))) (/ (cbrt z) y))

rewrite18.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 80
Calls

4 calls:

12.0ms
(* (* x (* (cbrt z) (cbrt z))) (/ (cbrt z) y))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series76.0ms (3.3%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(cbrt z)
22.0ms
(cbrt z)
21.0ms
(cbrt z)
8.0ms
(* (* x (* (cbrt z) (cbrt z))) (/ (cbrt z) y))

simplify70.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04955584
14955584

prune99.0ms (4.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh055
Picked011
Done033
Total929101

Merged error: 0b

Counts
101 → 9

regimes316.0ms (13.8%)

Accuracy

Total 0.7b remaining (96.9%)

Threshold costs 0.7b (96.9%)

bsearch1.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
014758
114758

end0.0ms (0%)

sample440.0ms (19.2%)

Algorithm
1×intervals
Results
226.0ms8000×body80valid
20.0ms755×body80invalid

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