Details

Time bar (total: 51.9s)

sample956.0ms

Algorithm
intervals
Results
695.0ms232×body10240exit
168.0ms462×body80nan
61.0ms256×body80valid

simplify52.0ms

Calls
1 calls:
Slowest
52.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize36.0ms

Local error

Found 4 expressions with local error:

27.8b
(sqrt (+ (* re re) (* im im)))
0.5b
(* (log base) (log base))
0.4b
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
0.4b
(* (log (sqrt (+ (* re re) (* im im)))) (log base))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
12×pow1
10×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
8×associate-*l*
6×associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×sqrt-prod
2×pow1/2 sqrt-div pow-prod-down log-pow *-commutative
1×pow2 rem-sqrt-square clear-num associate-/r* frac-2neg flip3-+ times-frac pow-plus pow-prod-up flip-+ div-inv associate-/l*
Calls
4 calls:
Slowest
22.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
11.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
4.0ms
(* (log base) (log base))
2.0ms
(sqrt (+ (* re re) (* im im)))

series419.0ms

Calls
4 calls:
Slowest
167.0ms
(* (log base) (log base))
123.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
103.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
26.0ms
(sqrt (+ (* re re) (* im im)))

simplify5.5s

Calls
49 calls:
Slowest
605.0ms
(/ (* (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log base) (log base)) (log base))) (* (* (* (log base) (log base)) (* (log base) (log base))) (* (log base) (log base))))
513.0ms
(- (+ (log (log (sqrt (+ (* re re) (* im im))))) (log (log base))) (+ (log (log base)) (log (log base))))
501.0ms
(/ (* (* (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (* (* (* (log base) (log base)) (* (log base) (log base))) (* (log base) (log base))))
471.0ms
(/ (* (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log base) (log base)) (log base))) (* (* (* (log base) (log base)) (log base)) (* (* (log base) (log base)) (log base))))
432.0ms
(* -1 (* (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.2b

localize11.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (log (/ -1 re)) (log base))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×log-pow associate-/l*
3×associate-/r* add-cbrt-cube add-exp-log
1×cbrt-undiv log-div clear-num frac-2neg div-sub div-exp insert-posit16 div-inv add-log-exp
Calls
1 calls:
Slowest
5.0ms
(/ (log (/ -1 re)) (log base))

series111.0ms

Calls
1 calls:
Slowest
111.0ms
(/ (log (/ -1 re)) (log base))

simplify1.2s

Calls
35 calls:
Slowest
201.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
166.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
76.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))
73.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
50.0ms
(/ (log (/ -1 re)) (cbrt (log base)))

prune829.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log base) (log (/ -1 re)))
0.3b
(/ 1 (/ (log base) (log (/ -1 re))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
20×associate-/r*
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×pow1
7×add-exp-log log-pow
4×add-cbrt-cube
3×div-inv associate-/l*
2×rec-exp clear-num frac-2neg div-exp insert-posit16 add-log-exp
1×cbrt-undiv associate-/r/ pow-flip inv-pow
Calls
2 calls:
Slowest
9.0ms
(/ (log base) (log (/ -1 re)))
4.0ms
(/ 1 (/ (log base) (log (/ -1 re))))

series232.0ms

Calls
2 calls:
Slowest
119.0ms
(/ 1 (/ (log base) (log (/ -1 re))))
113.0ms
(/ (log base) (log (/ -1 re)))

simplify2.0s

Calls
56 calls:
Slowest
282.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))))
173.0ms
(* -1 (/ (log (/ 1 base)) (+ (log (/ 1 re)) (log -1))))
161.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
129.0ms
(/ (- (log -1) (log (/ -1 base))) (log (/ -1 re)))
92.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))

prune924.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.2b

localize1.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (log (/ -1 re)) (log base))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×log-pow associate-/l*
3×associate-/r* add-cbrt-cube add-exp-log
1×cbrt-undiv log-div clear-num frac-2neg div-sub div-exp insert-posit16 div-inv add-log-exp
Calls
1 calls:
Slowest
9.0ms
(/ (log (/ -1 re)) (log base))

series98.0ms

Calls
1 calls:
Slowest
98.0ms
(/ (log (/ -1 re)) (log base))

simplify1.3s

Calls
35 calls:
Slowest
223.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
177.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
126.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
54.0ms
(/ (log (/ -1 re)) (sqrt (log base)))
49.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))

prune382.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 6.2b

regimes896.0ms

Accuracy

53.5% (10.1b remaining)

Error of 17.5b against oracle of 7.3b and baseline of 29.1b

bsearch174.0ms

end0.0ms

sample35.5s

Algorithm
intervals
Results
26.6s7879×body10240exit
5.4s15798×body80nan
2.7s8000×body80valid