Details

Time bar (total: 1.6s)

analyze71.0ms

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
25%74.9%0.1%5
37.5%62.4%0.1%6
43.7%43.7%12.6%7
53.1%34.3%12.6%8
57.8%23.4%18.8%9
63.2%18%18.8%10
66%12.1%22%11
68.9%9.2%22%12
70.3%6.1%23.5%13
71.9%4.6%23.5%14

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0msbody80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1187

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.9b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* y y))
5.5b
(* x (+ 1.0 (* y y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*r* associate-*l*
flip3-+ associate-*r/ flip-+
+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ 1.0 (* y y))
5.0ms
(* x (+ 1.0 (* y y)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ 1.0 (* y y))
10.0ms
(* x (+ 1.0 (* y y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04932307
14932307

prune51.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 5.6b

Counts
40 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.4b
(sqrt (+ 1.0 (* y y)))
5.4b
(sqrt (+ 1.0 (* y y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
flip3-+ flip-+
frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
7.0ms
(* x (sqrt (+ 1.0 (* y y))))
10.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(sqrt (+ 1.0 (* y y)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* x (sqrt (+ 1.0 (* y y))))
10.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(sqrt (+ 1.0 (* y y)))

simplify29.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
04957992
14957992

prune139.0ms

Filtered
70 candidates to 95 candidates (-35.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New93295
Fresh022
Picked011
Done011
Total93699

Merged error: 5.6b

Counts
99 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))
5.4b
(sqrt (+ 1.0 (* y y)))
5.7b
(cbrt (+ 1.0 (* y y)))
5.7b
(cbrt (+ 1.0 (* y y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity sqrt-prod
10×cbrt-prod
associate-*r*
pow1
add-exp-log cbrt-div add-cbrt-cube
flip3-+ sqrt-div flip-+ add-log-exp
associate-*l* unswap-sqr
pow1/3 associate-*r/
rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 69
Calls
4 calls:
7.0ms
(* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))
3.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))
3.0ms
(cbrt (+ 1.0 (* y y)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))
3.0ms
(sqrt (+ 1.0 (* y y)))
12.0ms
(cbrt (+ 1.0 (* y y)))
12.0ms
(cbrt (+ 1.0 (* y y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
052401193

prune208.0ms

Filtered
70 candidates to 81 candidates (-15.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh033
Picked011
Done022
Total81687

Merged error: 5.6b

Counts
87 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))
5.4b
(sqrt (+ 1.0 (* y y)))
5.4b
(sqrt (+ 1.0 (* y y)))
9.7b
(cbrt (pow (sqrt (+ 1.0 (* y y))) 3))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
21×associate-*r*
19×add-sqr-sqrt
18×sqrt-div sqrt-prod
17×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
11×pow1
add-exp-log flip3-+ flip-+
cube-div cbrt-div associate-*r/
add-cbrt-cube
frac-times add-log-exp
pow-prod-down prod-exp cbrt-unprod
cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-*l/ sqr-pow
pow1/3 associate-*l* *-commutative rem-cbrt-cube
Counts
4 → 103
Calls
4 calls:
14.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))
5.0ms
(cbrt (pow (sqrt (+ 1.0 (* y y))) 3))

series21.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(cbrt (pow (sqrt (+ 1.0 (* y y))) 3))

simplify51.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049751246
149751246

prune167.0ms

Filtered
75 candidates to 115 candidates (-53.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done033
Total1156121

Merged error: 5.6b

Counts
121 → 6

regimes216.0ms

Accuracy

0% (0.2b remaining)

Error of 5.5b against oracle of 5.2b and baseline of 5.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11115

end0.0ms

sample292.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid
4.0ms177×body80invalid

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