Details

Time bar (total: 49.5s)

sample47.0ms

Algorithm
intervals
Results
33.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
17.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.3b

localize37.0ms

Local error

Found 2 expressions with local error:

29.8b
(sqrt (+ (* re re) (* im im)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

rewrite56.0ms

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:
Slowest
30.0ms
(sqrt (+ (* re re) (* im im)))
25.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

series277.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
197.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
80.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.0s

Counts
72 → 71
Calls
72 calls:
Slowest
501.0ms
(/ (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log 10) (log 10)) (log 10)))
320.0ms
(/ (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log 10))
305.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
291.0ms
(/ (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (log 10))
238.0ms
(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))

prune785.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.9b

localize26.0ms

Local error

Found 4 expressions with local error:

29.8b
(sqrt (+ (* re re) (* im im)))
4.7b
(exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
0.0b
(log (exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
88×log-pow
72×times-frac
56×exp-prod
51×pow1
41×add-sqr-sqrt
40×*-un-lft-identity add-cube-cbrt
14×sqrt-pow1 pow1/2
8×log-div sqrt-div
6×add-cbrt-cube div-sub add-exp-log associate-/l*
5×div-inv add-log-exp
4×associate-/r* flip3-+ exp-diff flip-+ insert-posit16
3×log-prod sqrt-prod
2×exp-to-pow
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-exp rem-log-exp rem-exp-log
Counts
4 → 149
Calls
4 calls:
Slowest
30.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
17.0ms
(log (exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10))))
15.0ms
(exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)))
6.0ms
(sqrt (+ (* re re) (* im im)))

series748.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
296.0ms
(exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)))
212.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
192.0ms
(log (exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10))))
46.0ms
(sqrt (+ (* re re) (* im im)))

simplify6.9s

Counts
145 → 161
Calls
145 calls:
Slowest
493.0ms
(/ (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log 10) (log 10)) (log 10)))
398.0ms
(exp (* -1 (/ (log (/ -1 re)) (log 10))))
396.0ms
(/ (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log 10))
383.0ms
(log (exp (/ (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log 10))))
330.0ms
(exp (/ (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log 10)))

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.8b

localize45.0ms

Local error

Found 4 expressions with local error:

31.0b
(log (+ (* re re) (* im im)))
5.0b
(pow (exp (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
0.0b
(log (pow (exp (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
56×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
48×sqrt-prod
33×pow1
32×pow-unpow
29×log-pow
26×pow-pow
25×exp-prod
10×log-div log-prod
8×add-exp-log
7×associate-/r*
6×unpow-prod-down add-cbrt-cube div-sub
4×flip3-+ rem-log-exp flip-+ insert-posit16 associate-/l* pow-sub add-log-exp
3×div-inv
2×pow-to-exp pow-exp sqr-pow
1×cbrt-undiv clear-num frac-2neg div-exp
Counts
4 → 164
Calls
4 calls:
Slowest
38.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
25.0ms
(pow (exp (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
23.0ms
(log (pow (exp (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
18.0ms
(log (+ (* re re) (* im im)))

series1.7s

Counts
4 → 12
Calls
4 calls:
Slowest
676.0ms
(log (pow (exp (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
649.0ms
(pow (exp (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
283.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
73.0ms
(log (+ (* re re) (* im im)))

simplify9.9s

Counts
164 → 176
Calls
164 calls:
Slowest
641.0ms
(pow (* (cbrt (exp (/ 1/2 (sqrt (log 10))))) (cbrt (exp (/ 1/2 (sqrt (log 10)))))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
481.0ms
(/ (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
473.0ms
(log (sqrt (pow (exp (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))))
472.0ms
(pow (sqrt (exp (/ 1/2 (sqrt (log 10))))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
467.0ms
(log (* (cbrt (pow (exp (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))) (cbrt (pow (exp (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))))

prune2.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.6b

localize57.0ms

Local error

Found 4 expressions with local error:

31.0b
(log (+ (* re re) (* im im)))
5.5b
(pow (exp (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im))))
3.4b
(pow (pow (exp (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
0.0b
(log (pow (pow (exp (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10)))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
42×times-frac
29×pow-unpow unpow-prod-down
27×pow-pow
26×log-prod
25×exp-prod
24×sqrt-prod
13×pow1
9×unpow-prod-up pow-exp log-pow
8×add-exp-log
6×rem-log-exp
5×pow-to-exp sqr-pow
4×log-div add-cbrt-cube insert-posit16 add-log-exp
2×flip3-+ flip-+ div-inv pow-sub
Counts
4 → 141
Calls
4 calls:
Slowest
36.0ms
(pow (pow (exp (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
26.0ms
(pow (exp (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im))))
20.0ms
(log (pow (pow (exp (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10)))))
11.0ms
(log (+ (* re re) (* im im)))

series2.7s

Counts
4 → 12
Calls
4 calls:
Slowest
1.2s
(log (pow (pow (exp (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10)))))
770.0ms
(pow (pow (exp (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
651.0ms
(pow (exp (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im))))
81.0ms
(log (+ (* re re) (* im im)))

simplify13.9s

Counts
116 → 153
Calls
116 calls:
Slowest
747.0ms
(log (pow (pow (exp (/ 1/2 (sqrt (log 10)))) (log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (log 10)))))
559.0ms
(log (pow (pow (* (cbrt (exp (/ 1/2 (sqrt (log 10))))) (cbrt (exp (/ 1/2 (sqrt (log 10)))))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10)))))
537.0ms
(log (pow (exp (/ 1/2 (sqrt (log 10)))) (log (+ (* re re) (* im im)))))
536.0ms
(log (pow (pow (exp (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) 2)) (/ 1 (sqrt (log 10)))))
517.0ms
(log (pow (pow (exp (/ 1/2 (sqrt (log 10)))) (log (sqrt (+ (* re re) (* im im))))) (/ 1 (sqrt (log 10)))))

prune2.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.6b

regimes774.0ms

Accuracy

55.4% (10.4b remaining)

Error of 17.9b against oracle of 7.5b and baseline of 30.9b

bsearch238.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid