Details

Time bar (total: 5.5s)

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))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(/ (atan2 im re) (log 10.0))

simplify961.0ms

Counts
34 → 34
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
052371
187355
2207333
3449330
4889330
51332330
62911330
done5000330

prune81.0ms

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

localize10.0ms

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))))

rewrite37.0ms

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)))
25.0ms
(* (/ 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)))
9.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify1.1s

Counts
138 → 138
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01572334
14132140
216571759
done50001696

prune270.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1317138
Fresh257
Picked101
Done000
Total13412146

Merged error: 0.0b

Counts
146 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
4.4b
(cbrt (atan2 im re))
4.4b
(cbrt (atan2 im re))
4.4b
(cbrt (atan2 im re))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
41×add-sqr-sqrt
28×sqrt-prod
21×*-un-lft-identity
19×add-cube-cbrt
17×pow1
14×swap-sqr
10×associate-*r* associate-*l*
9×pow1/3 unswap-sqr
6×add-exp-log log-pow
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
9.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))

series39.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
11.0ms
(cbrt (atan2 im re))
15.0ms
(cbrt (atan2 im re))
12.0ms
(cbrt (atan2 im re))

simplify630.0ms

Counts
104 → 104
Iterations

Useful iterations: done (627.0ms)

IterNodesCost
0781164
11261061
2448970
31917893
done5000866

prune328.0ms

Filtered
57 candidates to 104 candidates (-82.5%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh01111
Picked011
Done000
Total10313116

Merged error: 0.0b

Counts
116 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (sqrt (log 10.0)))
4.4b
(cbrt (atan2 im re))
4.4b
(cbrt (atan2 im re))
4.4b
(cbrt (atan2 im re))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log pow1/3 sqrt-prod add-cbrt-cube add-log-exp
1×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))

series35.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(cbrt (sqrt (log 10.0)))
11.0ms
(cbrt (atan2 im re))
12.0ms
(cbrt (atan2 im re))
12.0ms
(cbrt (atan2 im re))

simplify687.0ms

Counts
58 → 58
Iterations

Useful iterations: done (685.0ms)

IterNodesCost
046442
170423
2182371
3779345
done5001341

prune173.0ms

Filtered
38 candidates to 58 candidates (-52.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh01111
Picked011
Done011
Total581371

Merged error: 0.0b

Counts
71 → 13

regimes435.0ms

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 (1.0ms)

IterNodesCost
01433
11533
done1533

end0.0ms

sample532.0ms

Algorithm
intervals
Results
287.0ms8000×body80valid

Profiling

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