Details

Time bar (total: 20.7s)

sample50.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify9.0ms

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: 30.8b

localize26.0ms

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))
28.4b
(sqrt (+ (* re re) (* im im)))

rewrite118.0ms

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:
17.0ms
(+ (* re re) (* im im))
58.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
36.0ms
(sqrt (+ (* re re) (* im im)))

series341.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(+ (* re re) (* im im))
211.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
70.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.3s

Counts
83 → 83
Iterations

Useful iterations: 3 (538.0ms)

IterNodesCost
01251357
12541281
25881165
313941163
435091163
done50011163

prune330.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.4b

localize16.0ms

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)))
28.4b
(sqrt (+ (* re re) (* im im)))

rewrite134.0ms

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:
11.0ms
(+ (* re re) (* im im))
66.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
29.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
8.0ms
(sqrt (+ (* re re) (* im im)))

series537.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (* re re) (* im im))
159.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
267.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
54.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.9s

Counts
217 → 217
Iterations

Useful iterations: done (3.9s)

IterNodesCost
02474621
16204164
217053647
344883643
done50003547

prune744.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 6.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
0.7b
(pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3)
28.4b
(sqrt (+ (* re re) (* im im)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
94×log-pow
79×pow1
64×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
62×cbrt-prod
56×unpow-prod-down cube-prod
22×sqrt-pow1 pow1/2
9×add-exp-log add-cbrt-cube
6×associate-/l*
5×div-inv
4×sqrt-div associate-/r* add-log-exp
3×pow-unpow sqrt-prod
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 → 211
Calls
4 calls:
20.0ms
(cbrt (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3))
50.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
14.0ms
(pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3)
9.0ms
(sqrt (+ (* re re) (* im im)))

series896.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3))
255.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
391.0ms
(pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3)
51.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.4s

Counts
223 → 223
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02185082
15524329
215993978
done50003867

prune642.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 6.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))))
0.3b
(* (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)))
28.4b
(sqrt (+ (* re re) (* im im)))

rewrite374.0ms

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:
132.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))))
131.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
67.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
16.0ms
(sqrt (+ (* re re) (* im im)))

series1.3s

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))))
663.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
294.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
74.0ms
(sqrt (+ (* re re) (* im im)))

simplify2.0s

Counts
256 → 256
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02846214
16515556
218355147
done50004915

prune987.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.2b

regimes1.5s

Accuracy

28.2% (17.5b remaining)

Error of 24.9b against oracle of 7.4b and baseline of 31.7b

bsearch920.0ms

Steps
ItersRangePoint
6
5.648580377641702e+85
7.97203048753092e+86
5.177363335544844e+86
8
1.6238933375226004e-186
2.297153203393667e-182
1.0098112259657446e-185
8
1.130281079294657e-219
8.79270723422623e-217
3.867993196915089e-217
8
4.806576296215955e-236
2.5891023046651694e-233
9.677784630305516e-234
10
-1.900142676637447e-261
-8.898276766909416e-272
-4.843689540090472e-262
8
-3.1089471099746935e+33
-1.8643414828365696e+30
-3.0545556871718285e+33
6
-6.745190138739985e+57
-6.4659780467737265e+56
-6.570997735276895e+56
5
-3.001107438090069e+136
-1.2675207568445035e+136
-2.9574832218065225e+136

simplify30.0ms

Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
072247
192241
298235
3101234
done101234

end0.0ms

sample1.1s

Algorithm
intervals
Results
781.0ms8000×body80valid