Details

Time bar (total: 55.9s)

sample1.1s

Algorithm
intervals
Results
818.0ms269×body10240exit
154.0ms499×body80nan
80.0ms256×body80valid

simplify16.0ms

Calls
1 calls:
Slowest
16.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize30.0ms

Local error

Found 4 expressions with local error:

30.2b
(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)))

rewrite36.0ms

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
14.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
13.0ms
(* (log base) (log base))
6.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
2.0ms
(sqrt (+ (* re re) (* im im)))

series386.0ms

Calls
4 calls:
Slowest
181.0ms
(* (log base) (log base))
101.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
86.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
18.0ms
(sqrt (+ (* re re) (* im im)))

simplify5.3s

Calls
49 calls:
Slowest
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))))
555.0ms
(- (+ (log (log (sqrt (+ (* re re) (* im im))))) (log (log base))) (+ (log (log base)) (log (log base))))
473.0ms
(- (log (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (log (* (log base) (log base))))
447.0ms
(/ (* (* (* (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))))
421.0ms
(pow (- (log -1) (log (/ -1 base))) 2)

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.6b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log (/ -1 re)) (log base))
0.0b
(log (/ -1 re))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
7×pow1
5×add-exp-log log-pow
4×log-prod add-cbrt-cube associate-/l*
3×associate-/r*
2×log-div insert-posit16 div-inv add-log-exp
1×cbrt-undiv clear-num frac-2neg div-sub div-exp rem-log-exp
Calls
2 calls:
Slowest
10.0ms
(/ (log (/ -1 re)) (log base))
1.0ms
(log (/ -1 re))

series286.0ms

Calls
2 calls:
Slowest
171.0ms
(log (/ -1 re))
115.0ms
(/ (log (/ -1 re)) (log base))

simplify1.4s

Calls
44 calls:
Slowest
211.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
159.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
124.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
58.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))
49.0ms
(/ (log (/ -1 re)) (log base))

prune582.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (log (/ -1 re)) (/ 1 (log base)))
0.3b
(/ 1 (log base))
0.0b
(log (/ -1 re))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
8×pow1
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-cbrt-cube
4×log-prod associate-*r* associate-*l*
3×associate-/r* insert-posit16 div-inv add-log-exp
2×rec-exp prod-exp log-pow
1×log-div clear-num frac-2neg rem-log-exp pow-prod-down associate-*r/ un-div-inv *-commutative cbrt-unprod pow-flip inv-pow
Calls
3 calls:
Slowest
10.0ms
(* (log (/ -1 re)) (/ 1 (log base)))
2.0ms
(/ 1 (log base))
1.0ms
(log (/ -1 re))

series464.0ms

Calls
3 calls:
Slowest
185.0ms
(log (/ -1 re))
158.0ms
(/ 1 (log base))
120.0ms
(* (log (/ -1 re)) (/ 1 (log base)))

simplify1.0s

Calls
31 calls:
Slowest
228.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
196.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
99.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
75.0ms
(+ (log (log (/ -1 re))) (log (/ 1 (log base))))
74.0ms
(/ 1 (- (log -1) (log (/ -1 base))))

prune764.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ -1 re))
0.6b
(cbrt (/ -1 re))
0.6b
(cbrt (/ -1 re))
0.5b
(* (cbrt (/ -1 re)) (cbrt (/ -1 re)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×cbrt-div pow1/3 associate-*r* associate-*l*
6×add-exp-log
5×div-inv
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
5.0ms
(* (cbrt (/ -1 re)) (cbrt (/ -1 re)))
1.0ms
(cbrt (/ -1 re))
1.0ms
(cbrt (/ -1 re))
1.0ms
(cbrt (/ -1 re))

series1.2s

Calls
4 calls:
Slowest
325.0ms
(* (cbrt (/ -1 re)) (cbrt (/ -1 re)))
321.0ms
(cbrt (/ -1 re))
295.0ms
(cbrt (/ -1 re))
264.0ms
(cbrt (/ -1 re))

simplify420.0ms

Calls
53 calls:
Slowest
36.0ms
(* (pow (/ 1 (pow re 2)) 1/3) (pow (cbrt -1) 2))
28.0ms
(* (/ -1 re) (/ -1 re))
28.0ms
(* (pow (/ 1 (pow re 2)) 1/3) (pow (cbrt -1) 2))
21.0ms
(* (pow (/ 1 re) 1/3) (cbrt -1))
17.0ms
(* (pow (/ 1 re) 1/3) (cbrt -1))

prune978.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 7.6b

regimes838.0ms

Accuracy

53.4% (10.3b remaining)

Error of 17.1b against oracle of 6.9b and baseline of 28.9b

bsearch4.2s

end0.0ms

sample35.6s

Algorithm
intervals
Results
27.4s7993×body10240exit
5.4s15986×body80nan
1.9s8000×body80valid