Details

Time bar (total: 3.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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
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))

simplify87.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
084202
1232188
2581188
31517188
44358188
55002188

prune78.0ms

Filtered
34 candidates to 22 candidates (35.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New25934
Fresh000
Picked101
Done000
Total26935

Merged error: 0.1b

Counts
35 → 9

localize11.0ms

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))))

rewrite31.0ms

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
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod
3×div-inv associate-/l*
2×rec-exp 1-exp add-log-exp
1×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)))
20.0ms
(* (/ 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)))
8.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04061427
118851234
250011126

prune305.0ms

Filtered
138 candidates to 72 candidates (47.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1326138
Fresh268
Picked101
Done000
Total13512147

Merged error: 0.0b

Counts
147 → 12

localize9.0ms

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)))))

rewrite33.0ms

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
6×cbrt-undiv log-pow
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×un-div-inv
2×frac-times *-commutative div-inv add-log-exp
1×associate-*l/
Counts
2 → 117
Calls
2 calls:
13.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
15.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series19.0ms

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)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04151074
11996823
25001650

prune218.0ms

Filtered
123 candidates to 58 candidates (52.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1230123
Fresh01111
Picked011
Done000
Total12312135

Merged error: 0.0b

Counts
135 → 12

localize12.0ms

Local error

Found 3 expressions with local error:

0.8b
(* (/ 1 (sqrt (log 10.0))) (/ 1 (/ (sqrt (log 10.0)) (atan2 im re))))
0.8b
(/ (sqrt (log 10.0)) (atan2 im re))
0.9b
(/ 1 (/ (sqrt (log 10.0)) (atan2 im re)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
417×times-frac
302×add-sqr-sqrt
212×*-un-lft-identity
183×add-cube-cbrt
136×sqrt-prod
99×add-exp-log
80×associate-*r*
50×div-exp
36×pow1
35×unswap-sqr
31×add-cbrt-cube
28×prod-exp associate-/r* log-pow
25×associate-*l*
17×rec-exp 1-exp
13×cbrt-undiv
11×div-inv
10×associate-/l*
6×cbrt-unprod
3×pow-flip pow-prod-down inv-pow add-log-exp
2×frac-2neg clear-num associate-/r/
1×frac-times associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
3 → 356
Calls
3 calls:
47.0ms
(* (/ 1 (sqrt (log 10.0))) (/ 1 (/ (sqrt (log 10.0)) (atan2 im re))))
4.0ms
(/ (sqrt (log 10.0)) (atan2 im re))
9.0ms
(/ 1 (/ (sqrt (log 10.0)) (atan2 im re)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* (/ 1 (sqrt (log 10.0))) (/ 1 (/ (sqrt (log 10.0)) (atan2 im re))))
11.0ms
(/ (sqrt (log 10.0)) (atan2 im re))
12.0ms
(/ 1 (/ (sqrt (log 10.0)) (atan2 im re)))

simplify103.0ms

Algorithm
egg-herbie
Counts
365 → 365
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
010154293
146003590
250023177

prune1.1s

Filtered
365 candidates to 150 candidates (58.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New3623365
Fresh2810
Picked101
Done011
Total36512377

Merged error: 0.0b

Counts
377 → 12

regimes351.0ms

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
0149
1149

end0.0ms

sample492.0ms

Algorithm
intervals
Results
276.0ms8000×body80valid

Profiling

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