Details

Time bar (total: 11.1s)

sample26.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11112
done1112

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.4b

Counts
2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.8b
(sqrt (+ (* re re) (* im im)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
4×add-exp-log sqrt-div associate-/r* add-cbrt-cube
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num div-inv
Counts
2 → 63
Calls
2 calls:
8.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms
(sqrt (+ (* re re) (* im im)))

simplify2.4s

Counts
69 → 69
Iterations

Useful iterations: 3 (186.0ms)

IterNodesCost
01181196
12251124
24541044
39691032
419711032
539891032
done50001032

prune152.0ms

Filtered
45 candidates to 69 candidates (-53.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New571269
Fresh000
Picked101
Done000
Total581270

Merged error: 8.1b

Counts
70 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
31.0b
(log (+ (* re re) (* im im)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×add-cube-cbrt *-un-lft-identity
33×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
18×add-exp-log
17×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 153
Calls
3 calls:
27.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
8.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
4.0ms
(log (+ (* re re) (* im im)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
24.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
10.0ms
(log (+ (* re re) (* im im)))

simplify940.0ms

Counts
162 → 162
Iterations

Useful iterations: done (935.0ms)

IterNodesCost
02033498
15303290
215212927
done50002892

prune337.0ms

Filtered
97 candidates to 162 candidates (-67.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New15210162
Fresh9211
Picked101
Done000
Total16212174

Merged error: 7.9b

Counts
174 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (log 10.0))
1.0b
(* (cbrt 1/2) (cbrt 1/2))
1.6b
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
31.0b
(log (+ (* re re) (* im im)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
38×add-sqr-sqrt
26×pow1
24×*-un-lft-identity
22×add-cube-cbrt
15×swap-sqr
13×pow1/3 associate-*r* associate-*l*
9×add-exp-log
8×log-pow unswap-sqr
4×pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
3×log-prod
2×pow2 log-div pow-plus prod-exp *-commutative cbrt-unprod
1×flip3-+ rem-log-exp flip-+
Counts
4 → 111
Calls
4 calls:
2.0ms
(cbrt (log 10.0))
6.0ms
(* (cbrt 1/2) (cbrt 1/2))
7.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
4.0ms
(log (+ (* re re) (* im im)))

series10.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt (log 10.0))
0.0ms
(* (cbrt 1/2) (cbrt 1/2))
0.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
10.0ms
(log (+ (* re re) (* im im)))

simplify1.9s

Counts
117 → 117
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
01271131
1241991
2588902
31514847
43278838
done5000838

prune459.0ms

Filtered
72 candidates to 117 candidates (-62.5%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1143117
Fresh01111
Picked011
Done000
Total11415129

Merged error: 7.8b

Counts
129 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im))))))
0.4b
(/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
31.0b
(log (+ (* re re) (* im im)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
532×times-frac
318×add-sqr-sqrt
238×*-un-lft-identity
228×add-cube-cbrt
152×sqrt-prod
125×associate-*r*
121×pow1
115×log-pow
42×add-exp-log
32×add-cbrt-cube
25×unswap-sqr
24×associate-/r*
22×associate-*l*
19×div-exp
17×div-inv
13×cbrt-undiv
10×associate-/l*
9×prod-exp
6×cbrt-unprod
4×add-log-exp
3×log-prod 1-exp
2×log-div frac-2neg clear-num associate-/r/
1×frac-times flip3-+ associate-*r/ rem-log-exp pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 410
Calls
4 calls:
65.0ms
(* (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im))))))
10.0ms
(/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
5.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
4.0ms
(log (+ (* re re) (* im im)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im))))))
25.0ms
(/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
28.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
10.0ms
(log (+ (* re re) (* im im)))

simplify2.2s

Counts
422 → 422
Iterations

Useful iterations: 2 (1.6s)

IterNodesCost
039910457
111528972
233958375
done50018375

prune613.0ms

Filtered
198 candidates to 422 candidates (-113.1%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New4184422
Fresh4913
Picked011
Done011
Total42215437

Merged error: 7.8b

Counts
437 → 15

regimes783.0ms

Accuracy

58% (10.4b remaining)

Error of 17.7b against oracle of 7.4b and baseline of 32.0b

bsearch95.0ms

Steps
ItersRangePoint
9
3.43401543638109e+114
5.025550553073085e+120
8.754465816850236e+115
10
1.3994626587696508e-214
2.9831774035161146e-199
8.40378243769235e-209
9
-6.504356142913877e-254
-7.961665226380449e-261
-4.6816349968371315e-258
8
-1.0891331514545633e+114
-3.5827156305380124e+111
-3.894646598919738e+113

simplify18.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
061151
178149
285149
393149
496149
598149
done98149

end0.0ms

sample707.0ms

Algorithm
intervals
Results
465.0ms8000×body80valid

Profiling

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