Details

Time bar (total: 3.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms338×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1203
2223
3223

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.6b
(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (+ 1.0 (* y y)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* x (+ 1.0 (* y y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0144115
1712101
23303100
35003100

prune42.0ms

Filtered
25 candidates to 17 candidates (68.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21425
Fresh000
Picked011
Done000
Total21526

Merged error: 6.9b

Counts
26 → 5

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))))
6.6b
(sqrt (+ 1.0 (* y y)))
6.6b
(sqrt (+ 1.0 (* y y)))

rewrite22.0ms

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/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(* x (sqrt (+ 1.0 (* y y))))
9.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))

series199.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* x (sqrt (+ 1.0 (* y y))))
55.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
40.0ms
(sqrt (+ 1.0 (* y y)))
45.0ms
(sqrt (+ 1.0 (* y y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0306681
11316604
25002594

prune158.0ms

Filtered
95 candidates to 67 candidates (70.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh033
Picked011
Done011
Total946100

Merged error: 6.9b

Counts
100 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

4.6b
(* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))
6.6b
(sqrt (+ 1.0 (* y y)))
6.8b
(cbrt (+ 1.0 (* y y)))
6.8b
(cbrt (+ 1.0 (* y y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-exp-log add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×cbrt-div flip3-+ sqrt-div flip-+ add-log-exp
3×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×pow1/3 associate-*r/ associate-*l/
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 61
Calls
4 calls:
7.0ms
(* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))

series464.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))
42.0ms
(sqrt (+ 1.0 (* y y)))
171.0ms
(cbrt (+ 1.0 (* y y)))
169.0ms
(cbrt (+ 1.0 (* y y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0363635
11292575
25001567

prune218.0ms

Filtered
73 candidates to 62 candidates (84.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh033
Picked011
Done022
Total73679

Merged error: 6.9b

Counts
79 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

2.0b
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
6.8b
(cbrt (+ 1.0 (* y y)))
6.8b
(cbrt (+ 1.0 (* y y)))
6.8b
(cbrt (+ 1.0 (* y y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))
3.0ms
(cbrt (+ 1.0 (* y y)))

series811.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
160.0ms
(cbrt (+ 1.0 (* y y)))
345.0ms
(cbrt (+ 1.0 (* y y)))
166.0ms
(cbrt (+ 1.0 (* y y)))

simplify102.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0299693
1951634
23244616
35001616

prune178.0ms

Filtered
78 candidates to 65 candidates (83.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done033
Total78684

Merged error: 6.9b

Counts
84 → 6

regimes94.0ms

Accuracy

0% (0.2b remaining)

Error of 5.5b against oracle of 5.3b and baseline of 5.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample411.0ms

Algorithm
intervals
Results
243.0ms10659×body80valid

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