Details

Time bar (total: 19.3s)

sample29.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11112
done1112

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize13.0ms

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))
27.4b
(sqrt (+ (* re re) (* im im)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div associate-/r*
3×flip3-+ sqrt-prod flip-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg div-exp clear-num sum-log div-inv
Counts
3 → 74
Calls
3 calls:
9.0ms
(+ (* re re) (* im im))
39.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
10.0ms
(sqrt (+ (* re re) (* im im)))

series332.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* re re) (* im im))
228.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
72.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.0s

Counts
83 → 83
Iterations

Useful iterations: 3 (350.0ms)

IterNodesCost
01251357
12541281
25881165
313941163
435091163
done50011163

prune360.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
0.4b
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
27.4b
(sqrt (+ (* re re) (* im im)))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
108×add-sqr-sqrt
78×sqrt-prod
67×*-un-lft-identity
61×add-cube-cbrt log-pow
53×pow1
46×associate-*r*
28×add-exp-log
25×associate-*l*
18×add-cbrt-cube
16×sqrt-pow1 pow1/2
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv
4×sqrt-div cbrt-unprod
3×flip3-+ flip-+ div-inv
2×log-div rec-exp 1-exp div-sub
1×+-commutative frac-times rem-sqrt-square frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 205
Calls
4 calls:
16.0ms
(+ (* re re) (* im im))
115.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
34.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
25.0ms
(sqrt (+ (* re re) (* im im)))

series608.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* re re) (* im im))
226.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
301.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
49.0ms
(sqrt (+ (* re re) (* im im)))

simplify4.0s

Counts
217 → 217
Iterations

Useful iterations: done (4.0s)

IterNodesCost
02474621
16204164
217053647
344883643
done50003547

prune691.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
0.6b
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
27.4b
(sqrt (+ (* re re) (* im im)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
94×log-pow
91×add-sqr-sqrt
90×add-cube-cbrt *-un-lft-identity
79×pow1
34×associate-/r*
22×sqrt-pow1 pow1/2
17×add-exp-log
11×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv add-log-exp
4×cbrt-undiv
3×sqrt-prod
2×rec-exp frac-2neg flip3-+ sqrt-div 1-exp clear-num flip-+
1×+-commutative rem-sqrt-square pow-flip sum-log associate-/r/ inv-pow
Counts
4 → 208
Calls
4 calls:
18.0ms
(+ (* re re) (* im im))
29.0ms
(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
17.0ms
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
16.0ms
(sqrt (+ (* re re) (* im im)))

series586.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (* re re) (* im im))
229.0ms
(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
229.0ms
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
71.0ms
(sqrt (+ (* re re) (* im im)))

simplify2.6s

Counts
220 → 220
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
02464499
15313920
210783575
324723501
done50003501

prune540.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
0.6b
(cbrt (pow (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))) 3))
0.7b
(pow (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))) 3)
27.4b
(sqrt (+ (* re re) (* im im)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
139×log-pow
127×sqrt-prod
110×add-sqr-sqrt
109×pow1 add-cube-cbrt *-un-lft-identity
98×cbrt-prod
92×unpow-prod-down cube-prod
37×sqrt-pow1 pow1/2
9×add-exp-log add-cbrt-cube
7×associate-/r*
6×associate-/l*
5×div-inv
4×sqrt-div add-log-exp
3×pow-unpow
2×cbrt-undiv cube-div cube-mult log-div flip3-+ unpow3 div-sub div-exp pow-exp flip-+ rem-cube-cbrt sqr-pow
1×pow-to-exp rem-sqrt-square cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
4 → 304
Calls
4 calls:
31.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
16.0ms
(cbrt (pow (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))) 3))
16.0ms
(pow (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))) 3)
16.0ms
(sqrt (+ (* re re) (* im im)))

series1.2s

Counts
4 → 12
Calls
4 calls:
293.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
335.0ms
(cbrt (pow (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))) 3))
529.0ms
(pow (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))) 3)
64.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.1s

Counts
316 → 316
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02728155
17126885
218816363
done50006345

prune750.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 5.6b

regimes1.3s

Accuracy

57.8% (10.2b remaining)

Error of 17.6b against oracle of 7.4b and baseline of 31.6b

bsearch172.0ms

Steps
ItersRangePoint
9
1.5452202130089212e+114
1.5143233905888044e+120
7.2397448035239325e+115
9
-2.0350997751618612e+124
-4.455739765009825e+115
-6.07069681777005e+119

simplify19.0ms

Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
03565
15065
25665
35964
done5964

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8000×body80valid