Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify1.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
done66

prune3.0ms

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
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))

series9.0ms

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

simplify763.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
052371
187354
2183330
3439330
4780330
51144330
62431330
done5000330

prune77.0ms

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

localize12.0ms

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))))

rewrite33.0ms

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:
5.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
21.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series21.0ms

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

simplify431.0ms

Counts
138 → 138
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
01572334
14132117
214781696
done50011696

prune260.0ms

Filtered
70 candidates to 138 candidates (-97.1%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1308138
Fresh257
Picked101
Done000
Total13313146

Merged error: 0.0b

Counts
146 → 13

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite37.0ms

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:
11.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
17.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series21.0ms

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

simplify699.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
01571989
13981536
21436993
33667993
done5000993

prune202.0ms

Filtered
54 candidates to 123 candidates (-127.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh11112
Picked011
Done000
Total12313136

Merged error: 0.0b

Counts
136 → 13

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
0.0b
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
67×times-frac
62×add-sqr-sqrt
57×associate-*r*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
29×associate-*l*
28×pow1 prod-exp
16×cbrt-unprod
13×sqrt-div associate-*r/
10×pow-prod-down
9×log-pow
6×frac-times div-exp unswap-sqr
4×associate-*l/
3×cbrt-undiv rec-exp 1-exp *-commutative div-inv add-log-exp
Counts
3 → 157
Calls
3 calls:
20.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
13.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
29.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

series42.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
20.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
9.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

simplify584.0ms

Counts
166 → 166
Iterations

Useful iterations: done (579.0ms)

IterNodesCost
02123541
15592540
222221689
done50001677

prune306.0ms

Filtered
85 candidates to 166 candidates (-95.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1651166
Fresh3811
Picked101
Done101
Total1709179

Merged error: 0.0b

Counts
179 → 9

regimes346.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
12032
done2032

end0.0ms

sample532.0ms

Algorithm
intervals
Results
274.0ms8000×body80valid

Profiling

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