Details

Time bar (total: 3.0s)

analyze336.0ms

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
12.5%87.4%0.1%6
34.3%65.5%0.1%7
46.8%53%0.1%8
48%51.9%0.1%9
63%36.9%0.1%10
71.7%28.2%0.1%11
72%27.8%0.1%12
80.5%19.4%0.1%13
85.4%14.5%0.1%14

sample50.0ms

Algorithm
intervals
Results
14.0ms34×body1280valid
13.0ms170×body80valid
8.0ms30×body640valid
3.0ms17×body320valid
1.0ms5×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0199
1199

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (sin y) (* z (cos y)))
0.1b
(* z (cos y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (sin y) (* z (cos y)))
4.0ms
(* z (cos y))

series17.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (sin y) (* z (cos y)))
7.0ms
(* z (cos y))

simplify60.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04986255
14986255

prune55.0ms

Filtered
25 candidates to 35 candidates (-40.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30535
Fresh000
Picked011
Done000
Total30636

Merged error: 0.0b

Counts
36 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite12.0ms

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:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series79.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
16.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
20.0ms
(cbrt (cos y))

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05034459

prune80.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh134
Picked011
Done011
Total85691

Merged error: 0.0b

Counts
91 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (pow (cos y) 2) 1/3)
0.2b
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×prod-exp
9×pow-exp
8×add-cbrt-cube
7×pow1
6×cbrt-prod pow-unpow associate-*r*
5×pow-to-exp cbrt-unprod
4×add-log-exp
3×sqr-pow
2×pow-pow unpow1/3 unpow2
1×pow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 79
Calls
4 calls:
4.0ms
(pow (pow (cos y) 2) 1/3)
8.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series52.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(pow (pow (cos y) 2) 1/3)
6.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
16.0ms
(cbrt (cos y))

simplify48.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05003496

prune100.0ms

Filtered
52 candidates to 91 candidates (-75.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New90191
Fresh033
Picked011
Done022
Total90797

Merged error: 0b

Counts
97 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
0.3b
(cbrt (pow (cos y) 6))
0.3b
(cbrt (cos y))
0.6b
(pow (cos y) 6)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
13×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
7×pow1 prod-exp
6×unpow-prod-down associate-*r*
5×cbrt-unprod
4×add-log-exp
3×pow-unpow
2×pow-to-exp pow1/3 pow-exp sqr-pow
1×pow-pow unpow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 66
Calls
4 calls:
9.0ms
(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
2.0ms
(cbrt (pow (cos y) 6))
1.0ms
(cbrt (cos y))
3.0ms
(pow (cos y) 6)

series33.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
3.0ms
(cbrt (pow (cos y) 6))
16.0ms
(cbrt (cos y))
7.0ms
(pow (cos y) 6)

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04938431
14938431

prune84.0ms

Filtered
48 candidates to 78 candidates (-62.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done033
Total78785

Merged error: 0b

Counts
85 → 7

regimes182.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

analyze346.0ms

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
12.5%87.4%0.1%6
34.3%65.5%0.1%7
46.8%53%0.1%8
48%51.9%0.1%9
63%36.9%0.1%10
71.7%28.2%0.1%11
72%27.8%0.1%12
80.5%19.4%0.1%13
85.4%14.5%0.1%14

sample1.3s

Algorithm
intervals
Results
450.0ms1016×body1280valid
325.0ms5587×body80valid
216.0ms813×body640valid
68.0ms382×body320valid
30.0ms201×body160valid
1.0ms1×body2560valid

Profiling

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