Details

Time bar (total: 2.1s)

analyze220.0ms

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

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms12×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08211
18211

prune10.0ms

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: 5.2b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

3.1b
(* y (+ 1.0 (* z z)))
3.4b
(/ (/ 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))))

series30.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* y (+ 1.0 (* z z)))
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04985885
14985885

prune117.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New69776
Fresh011
Picked011
Done000
Total69978

Merged error: 3.7b

Counts
78 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1.0 (* x (+ 1.0 (* z z))))
2.4b
(* x (+ 1.0 (* z z)))
2.8b
(* (/ 1 y) (/ 1.0 (* x (+ 1.0 (* z z)))))

rewrite26.0ms

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)))
12.0ms
(* (/ 1 y) (/ 1.0 (* x (+ 1.0 (* z z)))))

series43.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1.0 (* x (+ 1.0 (* z z))))
10.0ms
(* x (+ 1.0 (* z z)))
20.0ms
(* (/ 1 y) (/ 1.0 (* x (+ 1.0 (* z z)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049441205
149441205

prune122.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh347
Picked101
Done011
Total1126118

Merged error: 3.7b

Counts
118 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

2.4b
(* x (+ 1.0 (* z z)))
2.9b
(/ (/ 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))))

series29.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* x (+ 1.0 (* z z)))
20.0ms
(/ (/ 1.0 y) (* x (+ 1.0 (* z z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04985885
14985885

prune90.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh224
Picked011
Done011
Total77582

Merged error: 3.7b

Counts
82 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

1.0b
(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
2.8b
(* x (* y (+ 1.0 (* z z))))
3.1b
(* y (+ 1.0 (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 add-sqr-sqrt associate-*r/
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*l*
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down
3×cbrt-undiv flip3-+ times-frac div-exp flip-+ associate-/l* add-log-exp
2×associate-/r/ *-commutative
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 71
Calls
3 calls:
7.0ms
(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
6.0ms
(* x (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
15.0ms
(* x (* y (+ 1.0 (* z z))))
10.0ms
(* y (+ 1.0 (* z z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04978818
14978818

prune74.0ms

Filtered
54 candidates to 80 candidates (-48.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New79180
Fresh022
Picked101
Done022
Total80585

Merged error: 2.1b

Counts
85 → 5

regimes485.0ms

Accuracy

88.3% (0.2b remaining)

Error of 2.7b against oracle of 2.5b and baseline of 4.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03347
13347

end0.0ms

sample547.0ms

Algorithm
intervals
Results
330.0ms8000×body80valid
20.0ms433×body80invalid

Profiling

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