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

simplify121.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
049286
149286

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.9b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (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
pow1
associate-/r* log-pow
add-exp-log add-cbrt-cube associate-/l*
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))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ (atan2 im re) (log 10.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04812330
14812330

prune82.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New26834
Fresh000
Picked101
Done000
Total27835

Merged error: 0.1b

Counts
35 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
85×times-frac
52×*-un-lft-identity
51×sqrt-prod
46×add-cube-cbrt
26×add-exp-log
25×associate-*r* associate-*l*
16×add-cbrt-cube
15×unswap-sqr
14×pow1
10×log-pow
div-exp
prod-exp
associate-/r*
cbrt-undiv
cbrt-unprod
div-inv associate-/l*
rec-exp 1-exp add-log-exp
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 132
Calls
2 calls:
4.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
19.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series19.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
7.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify63.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049371597
149371597

prune226.0ms

Filtered
67 candidates to 138 candidates (-106.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1344138
Fresh347
Picked011
Done000
Total1379146

Merged error: 0.0b

Counts
146 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (sqrt (log 10.0)))
4.5b
(cbrt (atan2 im re))
4.5b
(cbrt (atan2 im re))
4.5b
(cbrt (atan2 im re))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1
add-exp-log pow1/3 sqrt-prod add-cbrt-cube add-log-exp
log-pow
Counts
4 → 48
Calls
4 calls:
2.0ms
(cbrt (sqrt (log 10.0)))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))

series31.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(cbrt (sqrt (log 10.0)))
10.0ms
(cbrt (atan2 im re))
10.0ms
(cbrt (atan2 im re))
10.0ms
(cbrt (atan2 im re))

simplify46.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05115344

prune206.0ms

Filtered
42 candidates to 58 candidates (-38.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh077
Picked011
Done101
Total58967

Merged error: 0.0b

Counts
67 → 9

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
43×add-sqr-sqrt
40×prod-exp
33×*-un-lft-identity
31×add-cube-cbrt
28×associate-*l* add-cbrt-cube
26×associate-*r* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
cbrt-undiv log-pow
associate-*r/ unswap-sqr
pow-prod-down
un-div-inv
frac-times *-commutative div-inv add-log-exp
associate-*l/
Counts
2 → 117
Calls
2 calls:
10.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
14.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series18.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
8.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
052221056

prune158.0ms

Filtered
57 candidates to 123 candidates (-115.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh077
Picked011
Done101
Total1239132

Merged error: 0.0b

Counts
132 → 9

regimes330.0ms

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 (1.0ms)

IterNodesCost
03315
13315

end0.0ms

sample427.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid

Profiling

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