Details

Time bar (total: 2.0s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
74.9%25%0.1%3
87.4%12.5%0.1%4
93.7%6.2%0.1%5
96.8%3.1%0.1%6
98.3%1.6%0.1%7
99.1%0.8%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
166

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (atan2 im re) (log 10.0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×associate-/r* log-pow
3×add-exp-log add-cbrt-cube associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
3.0ms
(/ (atan2 im re) (log 10.0))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (atan2 im re) (log 10.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04499330
14499330

prune74.0ms

Filtered
22 candidates to 34 candidates (-54.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New26834
Fresh000
Picked011
Done000
Total26935

Merged error: 0.1b

Counts
35 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (log 10.0) (atan2 im re)))
0.8b
(/ (log 10.0) (atan2 im re))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow1 associate-/r*
16×log-pow
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 119
Calls
2 calls:
6.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
4.0ms
(/ (log 10.0) (atan2 im re))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
9.0ms
(/ (log 10.0) (atan2 im re))

simplify99.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
044791473
144791473

prune163.0ms

Filtered
61 candidates to 125 candidates (-104.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1196125
Fresh257
Picked101
Done011
Total12212134

Merged error: 0.0b

Counts
134 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (log 10.0) (atan2 im re))
4.7b
(cbrt (/ (log 10.0) (atan2 im re)))
4.7b
(cbrt (/ (log 10.0) (atan2 im re)))
4.7b
(cbrt (/ (log 10.0) (atan2 im re)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod times-frac
37×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×pow1
13×log-pow
6×add-exp-log add-cbrt-cube
4×div-inv associate-/l* add-log-exp
3×cbrt-div pow1/3 associate-/r*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 106
Calls
4 calls:
4.0ms
(/ (log 10.0) (atan2 im re))
3.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
3.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
3.0ms
(cbrt (/ (log 10.0) (atan2 im re)))

series71.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (log 10.0) (atan2 im re))
20.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
22.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
21.0ms
(cbrt (/ (log 10.0) (atan2 im re)))

simplify43.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049871375
149871375

prune296.0ms

Filtered
82 candidates to 118 candidates (-43.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh01010
Picked101
Done011
Total11812130

Merged error: 0.0b

Counts
130 → 12

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (atan2 im re) (/ (cbrt 1) (sqrt (log 10.0))))
0.8b
(* (* (cbrt 1) (/ (cbrt 1) (sqrt (log 10.0)))) (* (atan2 im re) (/ (cbrt 1) (sqrt (log 10.0)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt times-frac
47×associate-*r*
43×add-exp-log
32×*-un-lft-identity
30×add-cube-cbrt add-cbrt-cube
27×sqrt-prod
25×cbrt-prod
23×prod-exp cbrt-unprod
22×pow1
9×pow-prod-down
7×cbrt-undiv div-exp unswap-sqr
6×associate-*r/ log-pow
4×associate-*l*
2×*-commutative add-log-exp
1×frac-times associate-*l/ div-inv
Counts
2 → 105
Calls
2 calls:
16.0ms
(* (atan2 im re) (/ (cbrt 1) (sqrt (log 10.0))))
16.0ms
(* (* (cbrt 1) (/ (cbrt 1) (sqrt (log 10.0)))) (* (atan2 im re) (/ (cbrt 1) (sqrt (log 10.0)))))

series20.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* (atan2 im re) (/ (cbrt 1) (sqrt (log 10.0))))
8.0ms
(* (* (cbrt 1) (/ (cbrt 1) (sqrt (log 10.0)))) (* (atan2 im re) (/ (cbrt 1) (sqrt (log 10.0)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049501143
149501143

prune184.0ms

Filtered
54 candidates to 111 candidates (-105.6%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh1910
Picked011
Done011
Total11112123

Merged error: 0.0b

Counts
123 → 12

regimes352.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01620
11620

end0.0ms

sample418.0ms

Algorithm
intervals
Results
283.0ms8000×body80valid

Profiling

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