Details

Time bar (total: 13.2s)

sample59.0ms

Algorithm
intervals
Results
42.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
29.7b
(sqrt (+ (* re re) (* im im)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
6×sqrt-pow1 pow1/2 associate-/l*
4×associate-/r* add-cbrt-cube sqrt-div add-exp-log
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ insert-posit16 add-log-exp
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-exp div-inv
Counts
2 → 65
Calls
2 calls:
45.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
8.0ms
(sqrt (+ (* re re) (* im im)))

series612.0ms

Counts
2 → 6
Calls
2 calls:
560.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
52.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.4s

Counts
71 → 71
Iterations
IterNodes
done2006
42006
31157
2504
1229
0118

prune347.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.7b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
30.8b
(log (+ (* re re) (* im im)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×*-un-lft-identity add-cube-cbrt
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 insert-posit16 div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times clear-num frac-2neg rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 156
Calls
3 calls:
32.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
21.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
6.0ms
(log (+ (* re re) (* im im)))

series487.0ms

Counts
3 → 9
Calls
3 calls:
180.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
243.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
64.0ms
(log (+ (* re re) (* im im)))

simplify1.6s

Counts
165 → 165
Iterations
IterNodes
done2004
32004
21723
1551
0208

prune828.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.5b

localize53.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
0.3b
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
30.8b
(log (+ (* re re) (* im im)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
44×times-frac
43×add-sqr-sqrt
35×*-un-lft-identity add-cube-cbrt
29×add-cbrt-cube associate-*r*
26×associate-*l*
25×sqrt-prod
22×prod-exp
18×pow1
12×cbrt-unprod
11×div-exp
9×log-prod
8×log-pow
6×cbrt-undiv
4×pow-prod-down associate-*l/
3×distribute-rgt-in rec-exp distribute-lft-in 1-exp insert-posit16 add-log-exp unswap-sqr
2×log-div *-commutative div-inv
1×frac-times flip3-+ rem-log-exp associate-*r/ un-div-inv flip-+
Counts
3 → 127
Calls
3 calls:
50.0ms
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
26.0ms
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
11.0ms
(log (+ (* re re) (* im im)))

series637.0ms

Counts
3 → 9
Calls
3 calls:
234.0ms
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
336.0ms
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
67.0ms
(log (+ (* re re) (* im im)))

simplify1.7s

Counts
136 → 136
Iterations
IterNodes
done2123
32123
21734
1600
0221

prune584.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.5b

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt 1/2) (cbrt 1/2))
1.0b
(sqrt (sqrt (log 10)))
1.0b
(sqrt (sqrt (log 10)))
30.8b
(log (+ (* re re) (* im im)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
24×sqrt-prod
18×pow1
17×*-un-lft-identity add-cube-cbrt
16×cbrt-prod
8×sqrt-pow1
7×add-exp-log
6×pow1/3 swap-sqr associate-*r* associate-*l*
4×rem-sqrt-square add-cbrt-cube pow1/2 insert-posit16 add-log-exp unswap-sqr
3×log-prod log-pow
2×log-div pow-prod-down pow-sqr pow-prod-up
1×pow2 flip3-+ pow-plus rem-log-exp prod-exp *-commutative cbrt-unprod flip-+
Counts
4 → 98
Calls
4 calls:
7.0ms
(* (cbrt 1/2) (cbrt 1/2))
2.0ms
(sqrt (sqrt (log 10)))
2.0ms
(sqrt (sqrt (log 10)))
6.0ms
(log (+ (* re re) (* im im)))

series83.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(* (cbrt 1/2) (cbrt 1/2))
0.0ms
(sqrt (sqrt (log 10)))
0.0ms
(sqrt (sqrt (log 10)))
83.0ms
(log (+ (* re re) (* im im)))

simplify1.3s

Counts
104 → 104
Iterations
IterNodes
done2001
42001
3987
2496
1235
0120

prune606.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.5b

regimes898.0ms

Accuracy

56.8% (10.1b remaining)

Error of 17.6b against oracle of 7.6b and baseline of 30.9b

bsearch332.0ms

Steps
ItersRangePoint
6
1.0720302096475472e+92
7.938065894163254e+92
3.000728483394708e+92
8
2.682856457515952e-293
3.682879132878819e-290
1.3130508878524708e-291
7
-1.5942858179205256e-248
-4.44103357617797e-250
-2.2438685006751525e-249
9
-4.397076889216472e+51
-6.689715143507821e+43
-3.106642014201959e+51

simplify21.0ms

Iterations
IterNodes
done62
162
050

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s8000×body80valid