Details

Time bar (total: 21.1s)

sample43.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
30.6b
(sqrt (+ (* re re) (* im im)))

rewrite64.0ms

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:
56.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
6.0ms
(sqrt (+ (* re re) (* im im)))

series245.0ms

Counts
2 → 6
Calls
2 calls:
204.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
40.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.9s

Counts
71 → 71
Iterations
IterNodes
done5002
42704
31157
2504
1229
0118

prune385.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
0.7b
(/ (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (log 10))
31.6b
(cbrt (+ (* re re) (* im im)))
31.6b
(cbrt (+ (* re re) (* im im)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt pow1
21×*-un-lft-identity add-cube-cbrt
20×times-frac
16×log-pow
10×cbrt-prod
9×associate-*r*
8×cbrt-div add-cbrt-cube add-exp-log sqrt-prod
6×pow-prod-down
5×associate-/l*
4×associate-/r* flip3-+ sqrt-div associate-*r/ flip-+ insert-posit16 add-log-exp
3×associate-*l* unswap-sqr
2×log-div pow1/3 div-sub
1×cbrt-undiv clear-num frac-2neg div-exp prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 101
Calls
4 calls:
38.0ms
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
61.0ms
(/ (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (log 10))
4.0ms
(cbrt (+ (* re re) (* im im)))
4.0ms
(cbrt (+ (* re re) (* im im)))

series622.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
231.0ms
(/ (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (log 10))
134.0ms
(cbrt (+ (* re re) (* im im)))
119.0ms
(cbrt (+ (* re re) (* im im)))

simplify2.4s

Counts
113 → 113
Iterations
IterNodes
done5016
33673
2990
1367
0181

prune607.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
0.5b
(/ (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (log 10)))
31.6b
(cbrt (+ (* re re) (* im im)))
31.6b
(cbrt (+ (* re re) (* im im)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt pow1
35×times-frac
32×sqrt-prod
30×*-un-lft-identity add-cube-cbrt
22×log-pow
10×cbrt-prod
9×associate-*r* pow-prod-down
8×cbrt-div add-cbrt-cube add-exp-log
7×associate-/r*
5×associate-/l*
4×flip3-+ sqrt-div associate-*r/ flip-+ insert-posit16 add-log-exp
3×associate-*l* unswap-sqr
2×log-div pow1/3 div-sub
1×cbrt-undiv clear-num frac-2neg div-exp prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 119
Calls
4 calls:
20.0ms
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
78.0ms
(/ (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (log 10)))
4.0ms
(cbrt (+ (* re re) (* im im)))
4.0ms
(cbrt (+ (* re re) (* im im)))

series745.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
303.0ms
(/ (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (log 10)))
158.0ms
(cbrt (+ (* re re) (* im im)))
137.0ms
(cbrt (+ (* re re) (* im im)))

simplify3.0s

Counts
131 → 131
Iterations
IterNodes
done5006
33398
21073
1393
0199

prune987.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (log 10))))
0.3b
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
31.6b
(cbrt (+ (* re re) (* im im)))
31.6b
(cbrt (+ (* re re) (* im im)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
34×associate-*r*
27×*-un-lft-identity
25×times-frac add-cube-cbrt
22×sqrt-prod
15×add-exp-log
14×pow1
11×add-cbrt-cube
10×cbrt-prod
8×associate-*l* unswap-sqr
6×cbrt-div
5×prod-exp log-pow
4×insert-posit16 add-log-exp
3×flip3-+ pow-prod-down associate-*r/ cbrt-unprod flip-+
2×pow1/3 sqrt-div div-exp *-commutative
1×cbrt-undiv rec-exp 1-exp un-div-inv div-inv
Counts
4 → 110
Calls
4 calls:
48.0ms
(* (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (log 10))))
29.0ms
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
4.0ms
(cbrt (+ (* re re) (* im im)))
5.0ms
(cbrt (+ (* re re) (* im im)))

series761.0ms

Counts
4 → 12
Calls
4 calls:
354.0ms
(* (log (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (log 10))))
130.0ms
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
143.0ms
(cbrt (+ (* re re) (* im im)))
134.0ms
(cbrt (+ (* re re) (* im im)))

simplify3.0s

Counts
122 → 122
Iterations
IterNodes
done5012
34573
21376
1485
0210

prune851.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.1b

regimes1.3s

Accuracy

58.3% (9.7b remaining)

Error of 17.4b against oracle of 7.7b and baseline of 30.9b

bsearch172.0ms

Steps
ItersRangePoint
9
1.429091952413382e+57
1.929040067784495e+66
1.5824798583418597e+66
9
-1.7986211339718403e+141
-3.0891175172603356e+132
-1.427484018494741e+134

simplify19.0ms

Iterations
IterNodes
done40
240
138
030

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.3s8000×body80valid