Details

Time bar (total: 16.3s)

sample33.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify18.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.0b
(sqrt (+ (* re re) (* im im)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
4×add-exp-log sqrt-div associate-/r* add-cbrt-cube
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num div-inv
Counts
2 → 63
Calls
2 calls:
34.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
23.0ms
(sqrt (+ (* re re) (* im im)))

series277.0ms

Counts
2 → 6
Calls
2 calls:
184.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
92.0ms
(sqrt (+ (* re re) (* im im)))

simplify2.0s

Counts
69 → 69

prune323.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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)))
29.0b
(sqrt (+ (* re re) (* im im)))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
107×add-sqr-sqrt
78×sqrt-prod
66×*-un-lft-identity
61×log-pow
60×add-cube-cbrt
52×pow1
46×associate-*r*
27×add-exp-log
25×associate-*l*
17×add-cbrt-cube
16×sqrt-pow1 pow1/2
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
6×associate-/l*
5×cbrt-undiv
4×sqrt-div cbrt-unprod
3×div-inv add-log-exp
2×log-div rec-exp flip3-+ 1-exp div-sub flip-+
1×frac-times rem-sqrt-square frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 194
Calls
3 calls:
119.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
58.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
8.0ms
(sqrt (+ (* re re) (* im im)))

series580.0ms

Counts
3 → 9
Calls
3 calls:
200.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
310.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
69.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.2s

Counts
203 → 203

prune830.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
3.9b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
29.0b
(sqrt (+ (* re re) (* im im)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
47×*-un-lft-identity
46×times-frac
45×add-cube-cbrt
41×sqrt-prod
30×log-prod
25×pow-unpow associate-*l*
24×unpow-prod-down
16×add-exp-log
15×pow1
10×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube
8×log-pow
5×unswap-sqr
4×associate-*r* prod-exp add-log-exp sqr-pow
3×pow-pow rem-log-exp
2×pow-to-exp sqrt-pow1 pow1/2 sqrt-div div-exp pow-exp cbrt-unprod div-inv
1×cbrt-undiv rem-sqrt-square rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ *-commutative sqrt-pow2 flip-+
Counts
4 → 151
Calls
4 calls:
33.0ms
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
90.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
23.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
8.0ms
(sqrt (+ (* re re) (* im im)))

series1.6s

Counts
4 → 12
Calls
4 calls:
441.0ms
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
581.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
525.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
65.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.1s

Counts
163 → 163

prune720.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.9b

localize46.0ms

Local error

Found 4 expressions with local error:

3.9b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
3.9b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
29.0b
(sqrt (+ (* re re) (* im im)))
29.0b
(sqrt (+ (* re re) (* im im)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
50×pow-unpow
42×times-frac
40×add-sqr-sqrt
38×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
16×pow1
12×unpow-prod-down
6×add-exp-log pow-pow log-pow
4×sqrt-pow1 pow1/2 sqrt-div add-cbrt-cube add-log-exp
2×pow-to-exp rem-sqrt-square flip3-+ pow-exp sqrt-pow2 flip-+ div-inv sqr-pow
Counts
4 → 120
Calls
4 calls:
14.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
16.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
17.0ms
(sqrt (+ (* re re) (* im im)))
17.0ms
(sqrt (+ (* re re) (* im im)))

series1.3s

Counts
4 → 12
Calls
4 calls:
590.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
553.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
62.0ms
(sqrt (+ (* re re) (* im im)))
62.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.6s

Counts
132 → 132

prune1.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 8.9b

regimes843.0ms

Accuracy

55.9% (10.8b remaining)

Error of 18.3b against oracle of 7.5b and baseline of 32.0b

bsearch318.0ms

Steps
ItersRangePoint
7
2.1111705398262576e+94
1.060498986278853e+96
9.769663399544423e+95
7
1.1044587464550651e-172
1.9723020502595543e-171
1.1787205921825882e-172
9
1.0174272123575757e-206
5.351151408218351e-199
5.24644684604896e-199
9
-1.3549447721302977e+118
-1.361108406914378e+110
-2.1113265927350396e+117

simplify786.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
854.0ms8000×body80valid