Details

Time bar (total: 21.5s)

sample46.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11112
done1112

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.5b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
28.1b
(sqrt (+ (* re re) (* im im)))

rewrite88.0ms

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))
36.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
37.0ms
(sqrt (+ (* re re) (* im im)))

series329.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* re re) (* im im))
201.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
90.0ms
(sqrt (+ (* re re) (* im im)))

simplify686.0ms

Counts
83 → 83
Iterations

Useful iterations: done (682.0ms)

IterNodesCost
01251357
12791281
210751167
done50011163

prune450.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.3b

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))))
0.5b
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
28.1b
(sqrt (+ (* re re) (* im im)))

rewrite225.0ms

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:
17.0ms
(+ (* re re) (* im im))
125.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
44.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
19.0ms
(sqrt (+ (* re re) (* im im)))

series607.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* re re) (* im im))
204.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
318.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
48.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.0s

Counts
217 → 217
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02474621
17144280
239923821
done50013647

prune770.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
0.4b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))))
0.5b
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
28.1b
(sqrt (+ (* re re) (* im im)))

rewrite437.0ms

Algorithm
rewrite-expression-head
Rules
156×sqrt-prod
150×times-frac
132×add-sqr-sqrt
83×*-un-lft-identity
77×add-cube-cbrt
64×log-pow
61×pow1
56×associate-*l*
47×associate-*r*
20×add-exp-log add-cbrt-cube
18×unswap-sqr
16×sqrt-pow1 pow1/2
14×sqrt-div
7×prod-exp associate-/r* cbrt-unprod
6×frac-times associate-*r/ associate-/l*
4×pow-prod-down associate-*l/ div-inv add-log-exp
3×cbrt-undiv div-exp
2×log-div flip3-+ div-sub *-commutative flip-+
1×rem-sqrt-square frac-2neg clear-num
Counts
4 → 244
Calls
4 calls:
110.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
203.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))))
77.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
15.0ms
(sqrt (+ (* re re) (* im im)))

series1.3s

Counts
4 → 12
Calls
4 calls:
687.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
257.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))))
291.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
63.0ms
(sqrt (+ (* re re) (* im im)))

simplify581.0ms

Counts
256 → 256
Iterations

Useful iterations: done (560.0ms)

IterNodesCost
02846214
17015601
done50005247

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (/ 1 (sqrt (log 10.0))))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))))
0.4b
(* (sqrt (sqrt (/ 1 (sqrt (log 10.0))))) (* (sqrt (sqrt (/ 1 (sqrt (log 10.0))))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))))
0.5b
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
28.1b
(sqrt (+ (* re re) (* im im)))

rewrite678.0ms

Algorithm
rewrite-expression-head
Rules
161×sqrt-prod
84×times-frac
62×associate-*l*
60×add-sqr-sqrt
59×add-cube-cbrt *-un-lft-identity
56×sqrt-div
48×pow1
37×log-pow
29×add-exp-log add-cbrt-cube
22×frac-times associate-*r/
14×prod-exp cbrt-unprod
10×associate-*l/
9×sqrt-pow1 pow1/2 pow-prod-down
7×associate-/r*
6×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp div-inv
2×log-div flip3-+ div-sub associate-*r* *-commutative flip-+
1×rem-sqrt-square frac-2neg clear-num
Counts
4 → 205
Calls
4 calls:
150.0ms
(* (sqrt (sqrt (/ 1 (sqrt (log 10.0))))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))))
450.0ms
(* (sqrt (sqrt (/ 1 (sqrt (log 10.0))))) (* (sqrt (sqrt (/ 1 (sqrt (log 10.0))))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))))
46.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
21.0ms
(sqrt (+ (* re re) (* im im)))

series1.3s

Counts
4 → 12
Calls
4 calls:
720.0ms
(* (sqrt (sqrt (/ 1 (sqrt (log 10.0))))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))))
238.0ms
(* (sqrt (sqrt (/ 1 (sqrt (log 10.0))))) (* (sqrt (sqrt (/ 1 (sqrt (log 10.0))))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))))
323.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
67.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.0s

Counts
217 → 217
Iterations

Useful iterations: done (3.0s)

IterNodesCost
03066384
17065640
236334858
done50004511

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.1b

regimes1.5s

Accuracy

57.8% (10.6b remaining)

Error of 17.8b against oracle of 7.1b and baseline of 32.3b

bsearch324.0ms

Steps
ItersRangePoint
7
2.0162023842533157e+127
3.307459902187486e+129
6.472106043627502e+127
9
5.329946125936946e-176
9.499609741680209e-170
5.90592111459123e-176
9
2.725864644827383e-286
3.074726605702059e-281
2.758027754679776e-281
10
-9.502057580036763e+144
-1.6194616515156606e+133
-1.2400826895216458e+136

simplify2.4s

Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
047125
171125
294123
3162122
4478122
52765122
done5000122

end0.0ms

sample1.1s

Algorithm
intervals
Results
802.0ms8000×body80valid