Details

Time bar (total: 2.5s)

analyze244.0ms

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

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms15×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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: 7.4b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

3.8b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.8b
(* 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:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series27.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04985885
14985885

prune127.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New69776
Fresh011
Picked101
Done000
Total70878

Merged error: 6.9b

Counts
78 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
3.8b
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
17.0b
(sqrt (+ 1.0 (* z z)))
17.0b
(sqrt (+ 1.0 (* z z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
30×add-exp-log add-cbrt-cube
28×sqrt-div
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×associate-*r/
14×flip3-+ flip-+
13×associate-/l*
11×pow1
9×cbrt-undiv div-exp prod-exp sqrt-prod cbrt-unprod
8×frac-times associate-/r/
6×associate-*r*
4×associate-*l/ add-log-exp
3×pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*l* clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 117
Calls
4 calls:
13.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
13.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
17.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
3.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049911716
149911716

prune193.0ms

Filtered
94 candidates to 129 candidates (-37.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh077
Picked011
Done000
Total1298137

Merged error: 6.9b

Counts
137 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (* y (+ 1.0 (* z z))))
3.7b
(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
4.8b
(* y (+ 1.0 (* z z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×add-cbrt-cube
24×prod-exp
23×add-sqr-sqrt
19×div-exp
16×add-cube-cbrt *-un-lft-identity times-frac associate-*l*
12×associate-*r*
10×pow1 cbrt-unprod
9×cbrt-undiv
7×associate-*r/
6×rec-exp 1-exp
4×associate-/r/
3×flip3-+ pow-prod-down flip-+ div-inv associate-/l* add-log-exp unswap-sqr
2×pow-flip *-commutative
1×distribute-rgt-in frac-times frac-2neg distribute-lft-in associate-*l/ clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 109
Calls
3 calls:
5.0ms
(/ 1 (* y (+ 1.0 (* z z))))
12.0ms
(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
5.0ms
(* y (+ 1.0 (* z z)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ 1 (* y (+ 1.0 (* z z))))
17.0ms
(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
10.0ms
(* y (+ 1.0 (* z z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
052631232

prune133.0ms

Filtered
70 candidates to 118 candidates (-68.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1153118
Fresh156
Picked101
Done011
Total1179126

Merged error: 3.3b

Counts
126 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1.0 (* y (+ 1.0 (* z z))))
3.6b
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
4.8b
(* y (+ 1.0 (* z z)))

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 (* y (+ 1.0 (* z z))))
7.0ms
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
5.0ms
(* y (+ 1.0 (* z z)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1.0 (* y (+ 1.0 (* z z))))
18.0ms
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
10.0ms
(* y (+ 1.0 (* z z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049491467
149491467

prune121.0ms

Filtered
84 candidates to 110 candidates (-31.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh167
Picked101
Done011
Total1109119

Merged error: 3.3b

Counts
119 → 9

regimes689.0ms

Accuracy

93.6% (0.3b remaining)

Error of 2.5b against oracle of 2.2b and baseline of 6.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02841
12841

end0.0ms

sample485.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
18.0ms439×body80invalid

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