Details

Time bar (total: 6.7s)

sample27.0ms

Algorithm
intervals
Results
16.0ms256×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

localize10.0ms

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)))

rewrite15.0ms

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)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.4s

Counts
69 → 69
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
01181196
12291124
24861044
310641032
420951032
542551032
done50001032

prune153.0ms

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)))

rewrite49.0ms

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:
29.0ms
(* (/ 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)))

series60.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
25.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
10.0ms
(log (+ (* re re) (* im im)))

simplify476.0ms

Counts
162 → 162
Iterations

Useful iterations: done (470.0ms)

IterNodesCost
02033498
15353330
216902927
done50002892

prune341.0ms

Filtered
99 candidates to 162 candidates (-63.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New15111162
Fresh9211
Picked101
Done000
Total16113174

Merged error: 7.9b

Counts
174 → 13

localize23.0ms

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)))

rewrite23.0ms

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)))

series11.0ms

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)))
11.0ms
(log (+ (* re re) (* im im)))

simplify1.0s

Counts
117 → 117
Iterations

Useful iterations: 4 (480.0ms)

IterNodesCost
01271131
12471007
2735902
31940847
43844838
done5000838

prune464.0ms

Filtered
73 candidates to 117 candidates (-60.3%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1143117
Fresh01212
Picked011
Done000
Total11416130

Merged error: 7.8b

Counts
130 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
42×add-exp-log
32×add-cbrt-cube
30×times-frac
29×*-un-lft-identity
28×associate-*l*
27×add-cube-cbrt
15×sqrt-prod
14×div-exp prod-exp
13×pow1
12×associate-*r*
10×cbrt-unprod
9×cbrt-undiv log-prod
7×unswap-sqr
5×log-pow
4×associate-/r* add-log-exp
3×distribute-rgt-in distribute-lft-in 1-exp div-inv
2×log-div pow-prod-down *-commutative
1×frac-times frac-2neg flip3-+ associate-*r/ rem-log-exp associate-*l/ clear-num flip-+ associate-/l*
Counts
4 → 128
Calls
4 calls:
8.0ms
(* (sqrt 1/2) (log (+ (* im im) (* re re))))
15.0ms
(* (/ (sqrt 1/2) 1) (/ (* (sqrt 1/2) (log (+ (* im im) (* re re)))) (log 10.0)))
10.0ms
(/ (* (sqrt 1/2) (log (+ (* im im) (* re re)))) (log 10.0))
4.0ms
(log (+ (* im im) (* re re)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (sqrt 1/2) (log (+ (* im im) (* re re))))
35.0ms
(* (/ (sqrt 1/2) 1) (/ (* (sqrt 1/2) (log (+ (* im im) (* re re)))) (log 10.0)))
26.0ms
(/ (* (sqrt 1/2) (log (+ (* im im) (* re re)))) (log 10.0))
10.0ms
(log (+ (* im im) (* re re)))

simplify514.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (161.0ms)

IterNodesCost
02052902
15592485
219302044
done50002044

prune232.0ms

Filtered
94 candidates to 140 candidates (-48.9%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1355140
Fresh31114
Picked101
Done101
Total14016156

Merged error: 0.2b

Counts
156 → 16

regimes785.0ms

Accuracy

40.3% (18.9b remaining)

Error of 19.2b against oracle of 0.3b and baseline of 32.0b

bsearch72.0ms

Steps
ItersRangePoint
8
3.2546548068664846e+34
1.8171784245322648e+37
1.7222444720608974e+37
7
5.681887128215832e-102
1.4651069296553002e-100
5.747339276714826e-102
8
2.1449171848147312e-248
2.3967650393285497e-244
9.505614346049415e-245
6
-2.033806098425254e+47
-3.3454235305908074e+46
-1.9204131668484536e+47

simplify18.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
049104
16498
27198
37998
48298
58498
done8498

end0.0ms

sample753.0ms

Algorithm
intervals
Results
490.0ms8000×body80valid

Profiling

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