Details

Time bar (total: 38.3s)

sample41.0ms

Algorithm
intervals
Results
30.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
9.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize20.0ms

Local error

Found 3 expressions with local error:

29.4b
(sqrt (+ (* re re) (* im im)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
0.0b
(+ (* re re) (* im im))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
6×sqrt-pow1 pow1/2 associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-/r* sqrt-div
3×flip3-+ sqrt-prod flip-+ insert-posit16
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg div-exp div-inv
Counts
3 → 77
Calls
3 calls:
Slowest
28.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
8.0ms
(+ (* re re) (* im im))
6.0ms
(sqrt (+ (* re re) (* im im)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
164.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
48.0ms
(+ (* re re) (* im im))
46.0ms
(sqrt (+ (* re re) (* im im)))

simplify2.8s

Counts
76 → 86
Calls
76 calls:
Slowest
442.0ms
(/ (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log 10) (log 10)) (log 10)))
293.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
293.0ms
(/ (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log 10))
253.0ms
(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
225.0ms
(/ (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (log 10))

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.8b

localize33.0ms

Local error

Found 4 expressions with local error:

30.5b
(log (+ (* re re) (* im im)))
0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
0.3b
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.0b
(+ (* re re) (* im im))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
83×add-sqr-sqrt
54×sqrt-prod
53×*-un-lft-identity add-cube-cbrt
34×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
19×add-exp-log
18×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
6×add-log-exp
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod insert-posit16 associate-/l*
3×log-prod flip3-+ flip-+ div-inv
2×div-sub
1×frac-times +-commutative clear-num sum-log frac-2neg rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 168
Calls
4 calls:
Slowest
33.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
21.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
16.0ms
(log (+ (* re re) (* im im)))
15.0ms
(+ (* re re) (* im im))

series604.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
276.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
200.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
90.0ms
(log (+ (* re re) (* im im)))
38.0ms
(+ (* re re) (* im im))

simplify8.5s

Counts
174 → 180
Calls
174 calls:
Slowest
791.0ms
(* (* (* (/ 1/2 (sqrt (log 10))) (/ 1/2 (sqrt (log 10)))) (/ 1/2 (sqrt (log 10)))) (* (* (/ (log (+ (* re re) (* im im))) (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
462.0ms
(/ (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
398.0ms
(* (/ (* (* 1/2 1/2) 1/2) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (/ (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))
342.0ms
(* (/ (* (* 1/2 1/2) 1/2) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (* (* (/ (log (+ (* re re) (* im im))) (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
318.0ms
(log (+ (pow (* re re) 3) (pow (* im im) 3)))

prune2.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.6b

localize67.0ms

Local error

Found 4 expressions with local error:

30.5b
(log (+ (* re re) (* im im)))
0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
0.4b
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
0.3b
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod
112×times-frac
107×add-sqr-sqrt
69×*-un-lft-identity add-cube-cbrt
56×associate-*l*
42×pow1
33×associate-*r*
31×log-pow
21×add-exp-log
20×add-cbrt-cube
12×unswap-sqr
10×sqrt-div
7×associate-/r* prod-exp cbrt-unprod
6×frac-times associate-*r/
4×log-div pow-prod-down associate-*l/ insert-posit16 div-inv associate-/l* add-log-exp
3×cbrt-undiv log-prod div-exp
2×flip3-+ div-sub *-commutative flip-+
1×clear-num frac-2neg rem-log-exp
Counts
4 → 211
Calls
4 calls:
Slowest
48.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
40.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
38.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
12.0ms
(log (+ (* re re) (* im im)))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
701.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
338.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
300.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
60.0ms
(log (+ (* re re) (* im im)))

simplify11.6s

Counts
225 → 223
Calls
225 calls:
Slowest
716.0ms
(* -2 (/ (* (log (/ -1 re)) (pow (sqrt 1/2) 2)) (log 10)))
499.0ms
(* (* (* (sqrt (/ 1/2 (sqrt (log 10)))) (sqrt (/ 1/2 (sqrt (log 10))))) (sqrt (/ 1/2 (sqrt (log 10))))) (* (* (/ (log (+ (* re re) (* im im))) (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
447.0ms
(/ (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
413.0ms
(* -2 (* (pow (/ 1 (pow (log 10) 3)) 1/4) (* (log (/ 1 re)) (sqrt 1/2))))
412.0ms
(* (* (* (sqrt (/ 1/2 (sqrt (log 10)))) (sqrt (/ 1/2 (sqrt (log 10))))) (sqrt (/ 1/2 (sqrt (log 10))))) (* (* (* (sqrt (/ 1/2 (sqrt (log 10)))) (sqrt (/ 1/2 (sqrt (log 10))))) (sqrt (/ 1/2 (sqrt (log 10))))) (/ (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))))

prune3.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.6b

localize90.0ms

Local error

Found 4 expressions with local error:

30.5b
(log (+ (* re re) (* im im)))
1.0b
(cbrt (log 10))
1.0b
(cbrt (log 10))
1.0b
(sqrt (cbrt (log 10)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
11×add-sqr-sqrt
9×pow1 *-un-lft-identity add-cube-cbrt
7×sqrt-prod
5×add-exp-log
4×add-cbrt-cube log-pow insert-posit16 add-log-exp
3×log-prod pow1/3
2×rem-sqrt-square log-div sqrt-pow1
1×flip3-+ pow1/2 rem-log-exp flip-+
Counts
4 → 61
Calls
4 calls:
Slowest
11.0ms
(log (+ (* re re) (* im im)))
2.0ms
(cbrt (log 10))
2.0ms
(sqrt (cbrt (log 10)))
1.0ms
(cbrt (log 10))

series81.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
81.0ms
(log (+ (* re re) (* im im)))
0.0ms
(cbrt (log 10))
0.0ms
(sqrt (cbrt (log 10)))
0.0ms
(cbrt (log 10))

simplify2.2s

Counts
31 → 67
Calls
31 calls:
Slowest
450.0ms
(* (sqrt (/ (sqrt 1/2) (fabs (cbrt (log 10))))) (* (sqrt (/ (sqrt 1/2) (sqrt (cbrt (log 10))))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))))
405.0ms
(* (sqrt (/ (sqrt 1/2) (fabs (cbrt (log 10))))) (* (sqrt (/ (sqrt 1/2) (sqrt (cbrt (log 10))))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))))
401.0ms
(* (sqrt (/ (sqrt 1/2) (fabs (cbrt (log 10))))) (* (sqrt (/ (sqrt 1/2) (sqrt (cbrt (log 10))))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))))
389.0ms
(log (+ (pow (* re re) 3) (pow (* im im) 3)))
277.0ms
(log (- (* (* re re) (* re re)) (* (* im im) (* im im))))

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.6b

regimes921.0ms

Accuracy

58.6% (9.8b remaining)

Error of 17.1b against oracle of 7.3b and baseline of 31.0b

bsearch216.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s8000×body80valid