Details

Time bar (total: 34.9s)

sample32.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize31.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.2b
(sqrt (+ (* re re) (* im im)))

rewrite54.0ms

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:
36.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
10.0ms
(sqrt (+ (* re re) (* im im)))

series314.0ms

Counts
2 → 6
Calls
2 calls:
245.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
69.0ms
(sqrt (+ (* re re) (* im im)))

simplify7.4s

Counts
71 → 71
Iterations
IterNodes
done5001
44432
31328
2517
1229
0118

prune777.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.6b

localize80.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 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)))
30.4b
(log (+ (* re re) (* im im)))

rewrite205.0ms

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:
89.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
69.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
19.0ms
(log (+ (* re re) (* im im)))

series771.0ms

Counts
3 → 9
Calls
3 calls:
292.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
377.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
102.0ms
(log (+ (* re re) (* im im)))

simplify4.3s

Counts
165 → 165
Iterations
IterNodes
done5000
21792
1552
0208

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.4b

localize71.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
30.4b
(log (+ (* re re) (* im im)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
46×times-frac
45×add-sqr-sqrt
35×*-un-lft-identity
33×add-cube-cbrt
29×add-cbrt-cube associate-*l*
26×associate-*r* sqrt-prod
22×prod-exp
18×pow1
12×cbrt-unprod
11×div-exp
8×log-pow
6×cbrt-undiv
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×rec-exp log-prod 1-exp un-div-inv insert-posit16 add-log-exp
2×frac-times log-div *-commutative div-inv
1×flip3-+ rem-log-exp associate-*l/ flip-+
Counts
3 → 125
Calls
3 calls:
84.0ms
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
47.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
14.0ms
(log (+ (* re re) (* im im)))

series674.0ms

Counts
3 → 9
Calls
3 calls:
259.0ms
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
315.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
100.0ms
(log (+ (* re re) (* im im)))

simplify4.3s

Counts
134 → 134
Iterations
IterNodes
done5000
21811
1565
0215

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (/ (sqrt 1/2) (sqrt (log 10.0))))
0.4b
(* (/ (sqrt 1/2) 1) (* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (/ (sqrt 1/2) (sqrt (log 10.0)))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
30.4b
(log (+ (* re re) (* im im)))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
131×add-sqr-sqrt
107×sqrt-prod
79×*-un-lft-identity add-cube-cbrt
78×add-exp-log
59×add-cbrt-cube
54×associate-*l*
47×associate-*r*
42×pow1
31×prod-exp log-pow
27×div-exp
22×cbrt-unprod
18×cbrt-undiv
15×unswap-sqr
7×associate-/r*
6×frac-times associate-*r/
5×1-exp
4×log-div pow-prod-down associate-*l/ insert-posit16 div-inv associate-/l* add-log-exp
3×log-prod
2×flip3-+ div-sub *-commutative flip-+
1×clear-num frac-2neg rem-log-exp
Counts
4 → 249
Calls
4 calls:
114.0ms
(* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (/ (sqrt 1/2) (sqrt (log 10.0))))
156.0ms
(* (/ (sqrt 1/2) 1) (* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (/ (sqrt 1/2) (sqrt (log 10.0)))))
60.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
9.0ms
(log (+ (* re re) (* im im)))

series1.2s

Counts
4 → 12
Calls
4 calls:
303.0ms
(* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (/ (sqrt 1/2) (sqrt (log 10.0))))
418.0ms
(* (/ (sqrt 1/2) 1) (* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (/ (sqrt 1/2) (sqrt (log 10.0)))))
405.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
91.0ms
(log (+ (* re re) (* im im)))

simplify4.9s

Counts
261 → 261
Iterations
IterNodes
done5002
23296
1973
0328

prune2.1s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 6.4b

regimes2.3s

Accuracy

58% (10.4b remaining)

Error of 17.6b against oracle of 7.2b and baseline of 32.0b

bsearch172.0ms

Steps
ItersRangePoint
9
3.744575579279384e+78
4.277967120250836e+83
2.808181869483483e+83
6
-3.841706696025466e+111
-2.574025199127893e+110
-3.510504290224585e+110

simplify37.0ms

Iterations
IterNodes
done52
152
040

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8000×body80valid