Details

Time bar (total: 16.6s)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
27.5b
(sqrt (+ (* re re) (* im im)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
6×sqrt-pow1 pow1/2 associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-/r* sqrt-div
3×flip3-+ sqrt-prod flip-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg div-exp div-inv
Counts
3 → 74
Calls
3 calls:
7.0ms
(+ (* re re) (* im im))
32.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms
(sqrt (+ (* re re) (* im im)))

series246.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* re re) (* im im))
174.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
42.0ms
(sqrt (+ (* re re) (* im im)))

simplify790.0ms

Counts
83 → 83
Iterations
IterNodes
done5001
21092
1277
0125

prune493.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
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)))
28.7b
(log (+ (* re re) (* im im)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
83×add-sqr-sqrt
54×sqrt-prod
53×*-un-lft-identity add-cube-cbrt
34×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
19×add-exp-log
18×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
6×add-log-exp
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod flip3-+ flip-+ div-inv
2×div-sub
1×frac-times +-commutative clear-num sum-log frac-2neg rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 164
Calls
4 calls:
12.0ms
(+ (* re re) (* im im))
79.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
39.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
16.0ms
(log (+ (* re re) (* im im)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* re re) (* im im))
217.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
274.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
84.0ms
(log (+ (* re re) (* im im)))

simplify1.9s

Counts
176 → 176
Iterations
IterNodes
done5000
23117
1605
0214

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.4b
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (sqrt (/ 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)))
28.7b
(log (+ (* re re) (* im im)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod
112×times-frac
107×add-sqr-sqrt
69×*-un-lft-identity add-cube-cbrt
56×associate-*l*
42×pow1
33×associate-*r*
31×log-pow
21×add-exp-log
20×add-cbrt-cube
12×unswap-sqr
10×sqrt-div
7×associate-/r* prod-exp cbrt-unprod
6×frac-times associate-*r/
4×log-div pow-prod-down associate-*l/ div-inv associate-/l* add-log-exp
3×cbrt-undiv log-prod div-exp
2×flip3-+ div-sub *-commutative flip-+
1×clear-num frac-2neg rem-log-exp
Counts
4 → 207
Calls
4 calls:
61.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
90.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
27.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
6.0ms
(log (+ (* re re) (* im im)))

series1.4s

Counts
4 → 12
Calls
4 calls:
746.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
302.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
257.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
75.0ms
(log (+ (* re re) (* im im)))

simplify3.0s

Counts
219 → 219
Iterations
IterNodes
done5000
24402
1680
0269

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.0b

localize43.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
1.0b
(sqrt (sqrt (log 10.0)))
1.0b
(sqrt (sqrt (log 10.0)))
28.7b
(log (+ (* re re) (* im im)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
101×sqrt-prod
60×times-frac
56×add-sqr-sqrt
52×*-un-lft-identity add-cube-cbrt
33×cbrt-prod
18×pow1
10×associate-/r* log-pow
8×sqrt-pow1
7×add-exp-log
6×associate-/l*
5×add-cbrt-cube
4×rem-sqrt-square pow1/2 add-log-exp
3×log-prod
2×log-div
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp rem-log-exp flip-+ div-inv
Counts
4 → 142
Calls
4 calls:
24.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
4.0ms
(sqrt (sqrt (log 10.0)))
4.0ms
(sqrt (sqrt (log 10.0)))
11.0ms
(log (+ (* re re) (* im im)))

series63.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
0.0ms
(sqrt (sqrt (log 10.0)))
0.0ms
(sqrt (sqrt (log 10.0)))
63.0ms
(log (+ (* re re) (* im im)))

simplify1.5s

Counts
148 → 148
Iterations
IterNodes
done5000
32293
2848
1288
0169

prune756.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.0b

regimes1.1s

Accuracy

58.6% (10.2b remaining)

Error of 17.3b against oracle of 7.1b and baseline of 31.7b

bsearch138.0ms

Steps
ItersRangePoint
9
1.8841348729660574e+121
3.270754152227266e+128
7.901470933521206e+126
4
-6.518035068066237e+150
-4.389998254864137e+150
-5.520517811877753e+150

simplify19.0ms

Iterations
IterNodes
done51
151
040

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8000×body80valid