Details

Time bar (total: 4.1s)

analyze249.0ms

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
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14

sample74.0ms

Algorithm
intervals
Results
20.0ms46×body1280valid
9.0ms36×body640valid
9.0ms155×body80valid
2.0ms12×body320valid
1.0ms7×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01589
11589

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* x (cos y))
0.1b
(* z (sin y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log flip--
Counts
3 → 47
Calls
3 calls:
3.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* x (cos y))
4.0ms
(* z (sin y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- (* x (cos y)) (* z (sin y)))
6.0ms
(* x (cos y))
7.0ms
(* z (sin y))

simplify37.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04868397
14868397

prune84.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New48856
Fresh000
Picked101
Done000
Total49857

Merged error: 0.0b

Counts
57 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
21.0ms
(cbrt z)
21.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify46.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05165356

prune97.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh077
Picked011
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)
1.1b
(pow (cbrt (cbrt z)) 5)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
5.0ms
(pow (cbrt (cbrt z)) 5)

series108.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
23.0ms
(cbrt z)
21.0ms
(cbrt z)
44.0ms
(pow (cbrt (cbrt z)) 5)

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05305355

prune103.0ms

Filtered
48 candidates to 69 candidates (-43.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh077
Picked011
Done011
Total69978

Merged error: 0.0b

Counts
78 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x (cos y)) (* z (sin y)))) (cbrt (- (* x (cos y)) (* z (sin y)))))
0.6b
(cbrt (- (* x (cos y)) (* z (sin y))))
0.6b
(cbrt (- (* x (cos y)) (* z (sin y))))
0.6b
(cbrt (- (* x (cos y)) (* z (sin y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
11.0ms
(* (cbrt (- (* x (cos y)) (* z (sin y)))) (cbrt (- (* x (cos y)) (* z (sin y)))))
4.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))
3.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))
4.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (cbrt (- (* x (cos y)) (* z (sin y)))) (cbrt (- (* x (cos y)) (* z (sin y)))))
57.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))
54.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))
57.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))

simplify39.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049951860
149951860

prune108.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh066
Picked011
Done022
Total999108

Merged error: 0.0b

Counts
108 → 9

regimes283.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05816
15816

end0.0ms

sample2.3s

Algorithm
intervals
Results
694.0ms1558×body1280valid
346.0ms1251×body640valid
261.0ms4287×body80valid
112.0ms609×body320valid
38.0ms295×body160valid

Profiling

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