Details

Time bar (total: 2.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
074
174

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize6.0ms

Local error

Found 1 expressions with local error:

31.8b
(sqrt (+ (* x x) (* y y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(sqrt (+ (* x x) (* y y)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(sqrt (+ (* x x) (* y y)))

simplify138.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 5 (135.0ms)

IterNodesCost
089100
121597
250397
3126597
4422797
5500296

prune45.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 8.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (cbrt (+ (* x x) (* y y))))
0.2b
(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
32.8b
(cbrt (+ (* x x) (* y y)))
32.8b
(cbrt (+ (* x x) (* y y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×add-cube-cbrt *-un-lft-identity
9×associate-*r*
8×cbrt-div
7×pow1
6×add-exp-log add-cbrt-cube
4×flip3-+ sqrt-div flip-+ add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
4.0ms
(sqrt (cbrt (+ (* x x) (* y y))))
10.0ms
(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(sqrt (cbrt (+ (* x x) (* y y))))
102.0ms
(* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))
87.0ms
(cbrt (+ (* x x) (* y y)))
88.0ms
(cbrt (+ (* x x) (* y y)))

simplify123.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0278853
11080799
24410792
35002785

prune246.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 8.4b

localize16.0ms

Local error

Found 4 expressions with local error:

32.8b
(cbrt (+ (* x x) (* y y)))
32.8b
(cbrt (+ (* x x) (* y y)))
32.8b
(cbrt (+ (* x x) (* y y)))
32.8b
(cbrt (+ (* x x) (* y y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (+ (* x x) (* y y)))
96.0ms
(cbrt (+ (* x x) (* y y)))
92.0ms
(cbrt (+ (* x x) (* y y)))
91.0ms
(cbrt (+ (* x x) (* y y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0123488
1408452
21387444
35001444

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 8.4b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 8.4b

regimes231.0ms

Accuracy

58.5% (9.8b remaining)

Error of 17.3b against oracle of 7.5b and baseline of 31.1b

bsearch48.0ms

Steps
ItersRangePoint
9
1.3035143797826932e+113
1.0263498879426634e+121
9.175373788887837e+116
9
-4.331403552570957e+63
-1.1145548392722344e+57
-3.6980740601030615e+63

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0175
1175

end0.0ms

sample325.0ms

Algorithm
intervals
Results
192.0ms8000×body80valid