Details

Time bar (total: 2.4s)

analyze235.0ms

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
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms12×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08211
18211

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: 6.4b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

2.0b
(* y (+ 1.0 (* z z)))
5.0b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
5.0ms
(* y (+ 1.0 (* z z)))
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series29.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* y (+ 1.0 (* z z)))
19.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify35.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05050885

prune132.0ms

Filtered
55 candidates to 76 candidates (-38.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New67976
Fresh011
Picked101
Done000
Total681078

Merged error: 4.0b

Counts
78 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1.0 (* x (+ 1.0 (* z z))))
2.4b
(* x (+ 1.0 (* z z)))
3.9b
(* (/ 1 y) (/ 1.0 (* x (+ 1.0 (* z z)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp associate-*l*
12×associate-*r*
10×cbrt-unprod
9×cbrt-undiv
7×pow1 associate-*r/
4×associate-/r/ unswap-sqr
3×rec-exp flip3-+ 1-exp flip-+ div-inv associate-/l* add-log-exp
2×pow-prod-down *-commutative
1×distribute-rgt-in frac-times frac-2neg distribute-lft-in associate-*l/ clear-num associate-/r*
Counts
3 → 100
Calls
3 calls:
5.0ms
(/ 1.0 (* x (+ 1.0 (* z z))))
5.0ms
(* x (+ 1.0 (* z z)))
14.0ms
(* (/ 1 y) (/ 1.0 (* x (+ 1.0 (* z z)))))

series40.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1.0 (* x (+ 1.0 (* z z))))
9.0ms
(* x (+ 1.0 (* z z)))
17.0ms
(* (/ 1 y) (/ 1.0 (* x (+ 1.0 (* z z)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
052981203

prune133.0ms

Filtered
73 candidates to 109 candidates (-49.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1072109
Fresh459
Picked101
Done000
Total1127119

Merged error: 3.9b

Counts
119 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1.0 (* x (+ 1.0 (* z z))))
2.4b
(* x (+ 1.0 (* z z)))
3.9b
(/ (/ 1.0 (* x (+ 1.0 (* z z)))) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
12×associate-*r/ associate-/l*
10×associate-/r/
7×cbrt-undiv div-exp
6×flip3-+ flip-+ div-inv
5×pow1
4×associate-/r*
3×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 101
Calls
3 calls:
5.0ms
(/ 1.0 (* x (+ 1.0 (* z z))))
5.0ms
(* x (+ 1.0 (* z z)))
7.0ms
(/ (/ 1.0 (* x (+ 1.0 (* z z)))) y)

series39.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1.0 (* x (+ 1.0 (* z z))))
9.0ms
(* x (+ 1.0 (* z z)))
16.0ms
(/ (/ 1.0 (* x (+ 1.0 (* z z)))) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049971465
149971465

prune142.0ms

Filtered
86 candidates to 110 candidates (-27.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh156
Picked011
Done000
Total1107117

Merged error: 2.5b

Counts
117 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

2.4b
(* x (+ 1.0 (* z z)))
4.1b
(/ (/ 1.0 y) (* x (+ 1.0 (* z z))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
5.0ms
(* x (+ 1.0 (* z z)))
8.0ms
(/ (/ 1.0 y) (* x (+ 1.0 (* z z))))

series27.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* x (+ 1.0 (* z z)))
17.0ms
(/ (/ 1.0 y) (* x (+ 1.0 (* z z))))

simplify37.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05040885

prune81.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh145
Picked011
Done011
Total76783

Merged error: 2.5b

Counts
83 → 7

regimes579.0ms

Accuracy

63.4% (1.5b remaining)

Error of 3.8b against oracle of 2.2b and baseline of 6.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02936
12936

end0.0ms

analyze231.0ms

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
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14

sample461.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid
15.0ms452×body80invalid

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