Details

Time bar (total: 2.3s)

analyze326.0ms

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
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

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms28×body80invalid

simplify240.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (236.0ms)

IterNodesCost
055207

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
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

Local error

Found 2 expressions with local error:

0.0b
(- x (* x (/ z y)))
5.9b
(* x (/ z y))

rewrite10.0ms

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

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- x (* x (/ z y)))
5.0ms
(* x (/ z y))

simplify24.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05025377

prune67.0ms

Filtered
34 candidates to 49 candidates (-44.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New42749
Fresh011
Picked011
Done000
Total42951

Merged error: 0.0b

Counts
51 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))
2.7b
(* (* (cbrt x) (cbrt x)) (* (/ z y) (cbrt x)))
3.4b
(* (/ z y) (cbrt x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
32×add-exp-log
25×pow1
24×cbrt-prod
22×add-cube-cbrt *-un-lft-identity
20×associate-*l*
18×add-cbrt-cube
16×prod-exp cbrt-unprod
13×associate-*r*
11×times-frac pow-prod-down
8×unswap-sqr
7×pow1/3
6×swap-sqr
4×add-log-exp
3×cbrt-undiv div-exp *-commutative
2×associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus associate-*r/ div-inv
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt x)
6.0ms
(* (cbrt x) (cbrt x))
10.0ms
(* (* (cbrt x) (cbrt x)) (* (/ z y) (cbrt x)))
9.0ms
(* (/ z y) (cbrt x))

series72.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
24.0ms
(* (cbrt x) (cbrt x))
8.0ms
(* (* (cbrt x) (cbrt x)) (* (/ z y) (cbrt x)))
17.0ms
(* (/ z y) (cbrt x))

simplify74.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04983753
14983753

prune119.0ms

Filtered
81 candidates to 127 candidates (-56.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1243127
Fresh347
Picked101
Done101
Total1297136

Merged error: 0b

Counts
136 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))
2.1b
(* z (/ (cbrt x) y))
2.7b
(* (* (cbrt x) (cbrt x)) (* z (/ (cbrt x) y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
32×add-exp-log
29×cbrt-prod associate-*r*
27×add-cube-cbrt *-un-lft-identity
25×pow1
21×add-cbrt-cube
20×times-frac
16×prod-exp cbrt-unprod
11×pow-prod-down
10×associate-*l*
7×pow1/3 unswap-sqr
6×swap-sqr
4×add-log-exp
3×cbrt-undiv associate-*r/ div-exp *-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 120
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(* (cbrt x) (cbrt x))
8.0ms
(* z (/ (cbrt x) y))
10.0ms
(* (* (cbrt x) (cbrt x)) (* z (/ (cbrt x) y)))

series73.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
23.0ms
(* (cbrt x) (cbrt x))
19.0ms
(* z (/ (cbrt x) y))
10.0ms
(* (* (cbrt x) (cbrt x)) (* z (/ (cbrt x) y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04906782
14906782

prune110.0ms

Filtered
83 candidates to 132 candidates (-59.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1320132
Fresh066
Picked011
Done000
Total1327139

Merged error: 0b

Counts
139 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(pow (cbrt x) 2)
2.7b
(* (pow (cbrt x) 2) (* (/ z y) (cbrt x)))
3.4b
(* (/ z y) (cbrt x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
30×add-sqr-sqrt
24×associate-*l*
20×add-cube-cbrt *-un-lft-identity
17×prod-exp
14×cbrt-prod add-cbrt-cube
12×unpow-prod-down
11×times-frac
7×pow1 associate-*r* cbrt-unprod
4×pow-to-exp div-exp pow-exp add-log-exp unswap-sqr
3×pow-unpow
2×cbrt-undiv pow-pow pow1/3 associate-*l/ *-commutative unpow2 sqr-pow
1×associate-*r/ pow-prod-down div-inv
Counts
4 → 103
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(pow (cbrt x) 2)
9.0ms
(* (pow (cbrt x) 2) (* (/ z y) (cbrt x)))
7.0ms
(* (/ z y) (cbrt x))

series72.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
24.0ms
(pow (cbrt x) 2)
8.0ms
(* (pow (cbrt x) 2) (* (/ z y) (cbrt x)))
17.0ms
(* (/ z y) (cbrt x))

simplify75.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04933719
14933719

prune115.0ms

Filtered
79 candidates to 115 candidates (-45.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh055
Picked011
Done011
Total1157122

Merged error: 0b

Counts
122 → 7

regimes271.0ms

Accuracy

86.3% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010881
110881

end0.0ms

sample402.0ms

Algorithm
intervals
Results
208.0ms8000×body80valid
18.0ms739×body80invalid

Profiling

Loading profile data...