Details

Time bar (total: 9.9s)

sample47.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize20.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
31.2b
(sqrt (+ (* re re) (* im im)))

rewrite72.0ms

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:
60.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
8.0ms
(sqrt (+ (* re re) (* im im)))

series283.0ms

Counts
2 → 6
Calls
2 calls:
220.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
62.0ms
(sqrt (+ (* re re) (* im im)))

simplify76.0ms

Counts
69 → 69

prune327.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
32.4b
(log (+ (* re re) (* im im)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×add-cube-cbrt *-un-lft-identity
33×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
18×add-exp-log
17×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 153
Calls
3 calls:
66.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
49.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
18.0ms
(log (+ (* re re) (* im im)))

series511.0ms

Counts
3 → 9
Calls
3 calls:
206.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
234.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
70.0ms
(log (+ (* re re) (* im im)))

simplify77.0ms

Counts
162 → 162

prune594.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
12.7b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
20.6b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×times-frac
39×add-cube-cbrt *-un-lft-identity
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
12×pow1 unpow-prod-down
11×add-exp-log
8×log-pow add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
4×associate-*r* sqr-pow
3×rem-log-exp add-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv pow-pow div-exp pow-prod-down associate-*l/ *-commutative
Counts
3 → 117
Calls
3 calls:
46.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
12.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
18.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series1.5s

Counts
3 → 9
Calls
3 calls:
548.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
429.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
516.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify75.0ms

Counts
126 → 126

prune524.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.2b

localize43.0ms

Local error

Found 4 expressions with local error:

13.0b
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
13.0b
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
20.6b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
20.6b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
50×pow-unpow
42×times-frac
38×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×sqrt-prod
14×cbrt-prod
12×pow1 unpow-prod-down
6×add-exp-log log-pow
4×add-cbrt-cube add-log-exp sqr-pow
2×pow-to-exp pow-pow pow1/3 pow-exp div-inv
Counts
4 → 108
Calls
4 calls:
10.0ms
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
10.0ms
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
15.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
14.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series2.3s

Counts
4 → 12
Calls
4 calls:
769.0ms
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
696.0ms
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
407.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
407.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify75.0ms

Counts
120 → 120

prune941.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.2b

regimes759.0ms

Accuracy

58.7% (10.1b remaining)

Error of 17.7b against oracle of 7.6b and baseline of 32.1b

bsearch151.0ms

Steps
ItersRangePoint
6
4.200512674035927e+74
5.041755508587056e+75
4.342031878168628e+75
9
-3.705252492998041e+114
-1.4290697573002828e+105
-8.184754974022721e+109

simplify58.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
813.0ms8000×body80valid