Details

Time bar (total: 53.6s)

sample971.0ms

Algorithm
intervals
Results
728.0ms252×body10240exit
102.0ms450×body80nan
95.0ms256×body80valid

simplify14.0ms

Calls
1 calls:
Slowest
14.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize65.0ms

Local error

Found 4 expressions with local error:

32.4b
(sqrt (+ (* re re) (* im im)))
0.6b
(* (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))

rewrite28.0ms

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
12.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
6.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
5.0ms
(* (log base) (log base))
4.0ms
(sqrt (+ (* re re) (* im im)))

series382.0ms

Calls
4 calls:
Slowest
173.0ms
(* (log base) (log base))
104.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
73.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
32.0ms
(sqrt (+ (* re re) (* im im)))

simplify5.7s

Calls
49 calls:
Slowest
801.0ms
(/ (* (* (* (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))))
613.0ms
(/ (* (* (* (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))))
508.0ms
(- (+ (log (log (sqrt (+ (* re re) (* im im))))) (log (log base))) (+ (log (log base)) (log (log base))))
475.0ms
(pow (- (log -1) (log (/ -1 base))) 2)
454.0ms
(/ (* (* (* (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))))

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.3b

localize16.0ms

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))

series113.0ms

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

simplify1.2s

Calls
35 calls:
Slowest
197.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
150.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
117.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
53.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))
50.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (sqrt (log base)))

prune543.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 7.2b

localize7.0ms

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))

series288.0ms

Calls
2 calls:
Slowest
190.0ms
(/ 1 (log base))
98.0ms
(* (log (/ -1 re)) (/ 1 (log base)))

simplify999.0ms

Calls
22 calls:
Slowest
228.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
208.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
117.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
89.0ms
(* (log (/ -1 re)) (/ 1 (log base)))
83.0ms
(/ 1 (- (log -1) (log (/ -1 base))))

prune529.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 7.2b

localize14.0ms

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
8.0ms
(/ (log base) (log (/ -1 re)))
4.0ms
(/ 1 (/ (log base) (log (/ -1 re))))

series208.0ms

Calls
2 calls:
Slowest
104.0ms
(/ 1 (/ (log base) (log (/ -1 re))))
104.0ms
(/ (log base) (log (/ -1 re)))

simplify2.4s

Calls
56 calls:
Slowest
268.0ms
(* -1 (/ (log (/ 1 base)) (+ (log (/ 1 re)) (log -1))))
257.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))))
177.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
173.0ms
(/ (- (log -1) (log (/ -1 base))) (log (/ -1 re)))
116.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))

prune686.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 7.2b

regimes941.0ms

Accuracy

42.7% (12.5b remaining)

Error of 19.7b against oracle of 7.2b and baseline of 29.1b

bsearch1.7s

end0.0ms

sample35.5s

Algorithm
intervals
Results
27.3s7843×body10240exit
5.1s16082×body80nan
2.2s8000×body80valid