Details

Time bar (total: 1.1m)

sample1.4s

Algorithm
intervals
Results
776.0ms261×body10240exit
497.0ms256×body80valid
110.0ms469×body80nan

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)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize41.0ms

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)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
20×add-sqr-sqrt add-cbrt-cube add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
12×log-prod
10×associate-*l* log-pow
8×associate-*r*
6×distribute-rgt-in distribute-lft-in swap-sqr prod-exp cbrt-unprod
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×sqrt-prod
2×sqrt-pow1 pow1/2 sqrt-div pow-prod-down *-commutative unswap-sqr
1×pow2 rem-sqrt-square clear-num associate-/r* frac-2neg flip3-+ times-frac pow-plus pow-sqr pow-prod-up flip-+ div-inv associate-/l*
Calls
4 calls:
Slowest
15.0ms
(sqrt (+ (* re re) (* im im)))
15.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
11.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
7.0ms
(* (log base) (log base))

series524.0ms

Calls
4 calls:
Slowest
235.0ms
(* (log base) (log base))
131.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
91.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
67.0ms
(sqrt (+ (* re re) (* im im)))

simplify6.8s

Calls
83 calls:
Slowest
755.0ms
(/ (* (* (* (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))))
668.0ms
(/ (* (* (* (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))))
589.0ms
(/ (* (* (* (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))))
511.0ms
(- (log (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (log (* (log base) (log base))))
507.0ms
(- (+ (log (log (sqrt (+ (* re re) (* im im))))) (log (log base))) (+ (log (log base)) (log (log base))))

prune1.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.2b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* associate-/l*
3×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
8.0ms
(/ (log (/ -1 re)) (log base))

series131.0ms

Calls
1 calls:
Slowest
131.0ms
(/ (log (/ -1 re)) (log base))

simplify1.4s

Calls
44 calls:
Slowest
189.0ms
(* -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)))
84.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
62.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))
48.0ms
(/ (log (/ -1 re)) (log base))

prune504.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.2b

localize39.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×times-frac
21×*-un-lft-identity
20×add-cube-cbrt
16×associate-*r*
15×add-exp-log
13×pow1
9×add-cbrt-cube
8×log-pow
4×associate-/r* div-exp associate-*l* prod-exp
3×associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Calls
2 calls:
Slowest
22.0ms
(* (log (/ -1 re)) (/ 1 (log base)))
9.0ms
(/ 1 (log base))

series400.0ms

Calls
2 calls:
Slowest
266.0ms
(/ 1 (log base))
134.0ms
(* (log (/ -1 re)) (/ 1 (log base)))

simplify2.6s

Calls
73 calls:
Slowest
538.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))))
280.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
158.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
121.0ms
(/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base)))
92.0ms
(* (sqrt (log (/ -1 re))) (/ (sqrt 1) (sqrt (log base))))

prune889.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 8.1b

localize32.0ms

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)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
19×add-cbrt-cube add-exp-log
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
12×log-prod
8×associate-*r* associate-*l* log-pow
6×distribute-rgt-in distribute-lft-in swap-sqr prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×insert-posit16 add-log-exp
2×pow-prod-down *-commutative unswap-sqr
1×pow2 clear-num associate-/r* frac-2neg times-frac pow-plus pow-sqr pow-prod-up div-inv associate-/l*
Calls
3 calls:
Slowest
14.0ms
(/ (* (log (- re)) (log base)) (* (log base) (log base)))
8.0ms
(* (log (- re)) (log base))
7.0ms
(* (log base) (log base))

series522.0ms

Calls
3 calls:
Slowest
244.0ms
(* (log base) (log base))
143.0ms
(* (log (- re)) (log base))
134.0ms
(/ (* (log (- re)) (log base)) (* (log base) (log base)))

simplify5.5s

Calls
72 calls:
Slowest
676.0ms
(/ (* (* (* (log (- re)) (log base)) (* (log (- re)) (log base))) (* (log (- re)) (log base))) (* (* (* (log base) (log base)) (* (log base) (log base))) (* (log base) (log base))))
477.0ms
(/ (* (* (* (log (- re)) (log (- re))) (log (- re))) (* (* (log base) (log base)) (log base))) (* (* (* (log base) (log base)) (* (log base) (log base))) (* (log base) (log base))))
473.0ms
(/ (* (* (* (log (- re)) (log base)) (* (log (- re)) (log base))) (* (log (- re)) (log base))) (* (* (* (log base) (log base)) (log base)) (* (* (log base) (log base)) (log base))))
464.0ms
(* -1 (* (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
438.0ms
(- (+ (log (log (- re))) (log (log base))) (log (* (log base) (log base))))

prune938.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 8.1b

regimes1.1s

Accuracy

56.4% (9.5b remaining)

Error of 16.9b against oracle of 7.4b and baseline of 29.1b

bsearch4.7s

end0.0ms

sample36.7s

Algorithm
intervals
Results
28.1s8088×body10240exit
4.7s16124×body80nan
3.1s8000×body80valid