Details

Time bar (total: 2.4s)

analyze239.0ms

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
1.0ms17×body80invalid

simplify4.0ms

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: 7.6b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

4.6b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.7b
(* y (+ 1.0 (* z z)))

rewrite16.0ms

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)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
11.0ms
(* y (+ 1.0 (* z z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04985885
14985885

prune124.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New68876
Fresh011
Picked101
Done000
Total69978

Merged error: 5.6b

Counts
78 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (* y x))
6.9b
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/r*
2×pow1 frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 71
Calls
2 calls:
4.0ms
(/ 1.0 (* y x))
7.0ms
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1.0 (* y x))
16.0ms
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
053141021

prune125.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New74377
Fresh448
Picked011
Done000
Total78886

Merged error: 5.6b

Counts
86 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (* y (sqrt (+ 1.0 (* z z)))))
1.4b
(* (/ 1 (* y (sqrt (+ 1.0 (* z z))))) (/ 1.0 (* x (sqrt (+ 1.0 (* z z))))))
14.9b
(sqrt (+ 1.0 (* z z)))
14.9b
(sqrt (+ 1.0 (* z z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
93×add-exp-log
45×add-cbrt-cube
40×prod-exp
30×div-exp
16×add-sqr-sqrt cbrt-unprod
14×cbrt-undiv
12×add-cube-cbrt *-un-lft-identity
11×pow1
10×sqrt-div
9×times-frac associate-*r* associate-*l*
8×rec-exp 1-exp
7×associate-*r/
6×sqrt-prod associate-/r/
5×flip3-+ flip-+
4×add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square pow-flip sqrt-pow1 pow1/2 pow-prod-down
1×frac-times frac-2neg associate-*l/ clear-num associate-/r* *-commutative inv-pow unswap-sqr
Counts
4 → 121
Calls
4 calls:
7.0ms
(/ 1 (* y (sqrt (+ 1.0 (* z z)))))
16.0ms
(* (/ 1 (* y (sqrt (+ 1.0 (* z z))))) (/ 1.0 (* x (sqrt (+ 1.0 (* z z))))))
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ 1 (* y (sqrt (+ 1.0 (* z z)))))
16.0ms
(* (/ 1 (* y (sqrt (+ 1.0 (* z z))))) (/ 1.0 (* x (sqrt (+ 1.0 (* z z))))))
3.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049971568
149971568

prune179.0ms

Filtered
82 candidates to 133 candidates (-62.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1321133
Fresh156
Picked011
Done011
Total1338141

Merged error: 5.6b

Counts
141 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

14.9b
(sqrt (+ 1.0 (* z z)))
14.9b
(sqrt (+ 1.0 (* z z)))
14.9b
(sqrt (+ 1.0 (* z z)))
14.9b
(sqrt (+ 1.0 (* z z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series14.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05082676

prune209.0ms

Filtered
60 candidates to 72 candidates (-20.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done022
Total72880

Merged error: 5.6b

Counts
80 → 8

regimes405.0ms

Accuracy

0% (1.3b remaining)

Error of 6.5b against oracle of 5.2b and baseline of 6.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
11821

end0.0ms

sample646.0ms

Algorithm
intervals
Results
464.0ms8000×body80valid
16.0ms474×body80invalid

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