Details

Time bar (total: 57.0s)

sample986.0ms

Algorithm
intervals
Results
750.0ms261×body10240exit
141.0ms469×body80nan
60.0ms256×body80valid

simplify28.0ms

Calls
1 calls:
Slowest
28.0ms
(/ (+ (* (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: 33.3b

localize48.0ms

Local error

Found 4 expressions with local error:

31.7b
(sqrt (+ (* re re) (* im im)))
0.5b
(* (log base) (log base))
0.4b
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
0.3b
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))

rewrite43.0ms

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
23.0ms
(/ (* (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)))

series962.0ms

Calls
4 calls:
Slowest
428.0ms
(sqrt (+ (* re re) (* im im)))
239.0ms
(* (log base) (log base))
151.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
143.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))

simplify5.5s

Calls
49 calls:
Slowest
583.0ms
(/ (* (* (* (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))))
568.0ms
(/ (* (* (* (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))))
544.0ms
(pow (- (log -1) (log (/ -1 base))) 2)
464.0ms
(- (log (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (log (* (log base) (log base))))
455.0ms
(/ (* (* (* (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))))

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.2b

localize20.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (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))

series133.0ms

Calls
1 calls:
Slowest
133.0ms
(/ (log (/ -1 re)) (log base))

simplify1.2s

Calls
35 calls:
Slowest
174.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
174.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
114.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
65.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))
53.0ms
(/ (log (/ -1 re)) (cbrt (log base)))

prune492.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.2b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log
6×pow1
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube associate-*r* associate-*l*
3×associate-/r*
2×rec-exp prod-exp insert-posit16 div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ log-pow un-div-inv *-commutative cbrt-unprod pow-flip inv-pow
Calls
2 calls:
Slowest
5.0ms
(* (log (/ -1 re)) (/ 1 (log base)))
1.0ms
(/ 1 (log base))

series447.0ms

Calls
2 calls:
Slowest
312.0ms
(/ 1 (log base))
135.0ms
(* (log (/ -1 re)) (/ 1 (log base)))

simplify954.0ms

Calls
22 calls:
Slowest
269.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
182.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
102.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
89.0ms
(+ (log (log (/ -1 re))) (log (/ 1 (log base))))
77.0ms
(* (log (/ -1 re)) (/ 1 (log base)))

prune578.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 8.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.5b
(* (log base) (log base))
0.4b
(* (log (- re)) (log base))
0.4b
(/ (* (log (- re)) (log base)) (* (log base) (log base)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
11×pow1
7×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
6×associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×insert-posit16 add-log-exp
2×pow-prod-down *-commutative
1×pow2 clear-num associate-/r* frac-2neg times-frac pow-plus log-pow pow-prod-up div-inv associate-/l*
Calls
3 calls:
Slowest
14.0ms
(/ (* (log (- re)) (log base)) (* (log base) (log base)))
8.0ms
(* (log base) (log base))
5.0ms
(* (log (- re)) (log base))

series488.0ms

Calls
3 calls:
Slowest
238.0ms
(* (log base) (log base))
125.0ms
(* (log (- re)) (log base))
124.0ms
(/ (* (log (- re)) (log base)) (* (log base) (log base)))

simplify4.7s

Calls
40 calls:
Slowest
512.0ms
(pow (- (log -1) (log (/ -1 base))) 2)
502.0ms
(* -1 (* (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
479.0ms
(- (+ (log (log (- re))) (log (log base))) (log (* (log base) (log base))))
392.0ms
(/ (* (* (* (log (- re)) (log (- re))) (log (- re))) (* (* (log base) (log base)) (log base))) (* (* (* (log base) (log base)) (* (log base) (log base))) (* (log base) (log base))))
368.0ms
(- (+ (log (log (- re))) (log (log base))) (+ (log (log base)) (log (log base))))

prune617.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 8.1b

regimes962.0ms

Accuracy

56.4% (9.5b remaining)

Error of 16.8b against oracle of 7.4b and baseline of 29.1b

bsearch2.7s

end0.0ms

sample34.9s

Algorithm
intervals
Results
26.1s8088×body10240exit
5.5s16124×body80nan
2.6s8000×body80valid