Details

Time bar (total: 55.2s)

sample1.0s

Algorithm
intervals
Results
694.0ms258×body10240exit
157.0ms507×body80nan
115.0ms256×body80valid

simplify52.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize26.0ms

Local error

Found 4 expressions with local error:

26.9b
(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)))

rewrite68.0ms

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*
Counts
4 → 104
Calls
4 calls:
Slowest
25.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
15.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
15.0ms
(* (log base) (log base))
12.0ms
(sqrt (+ (* re re) (* im im)))

series543.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
250.0ms
(* (log base) (log base))
131.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
120.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
42.0ms
(sqrt (+ (* re re) (* im im)))

simplify6.7s

Counts
83 → 116
Calls
83 calls:
Slowest
780.0ms
(/ (* (* (* (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))))
670.0ms
(/ (* (* (* (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))))
618.0ms
(/ (* (* (* (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))))
481.0ms
(/ (* (* (* (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))))

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.3b

localize33.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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
Counts
1 → 38
Calls
1 calls:
Slowest
14.0ms
(/ (log (/ -1 re)) (log base))

series107.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
106.0ms
(/ (log (/ -1 re)) (log base))

simplify1.3s

Counts
44 → 41
Calls
44 calls:
Slowest
181.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
173.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
115.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
51.0ms
(/ (log (/ -1 re)) (cbrt (log base)))
50.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))

prune491.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.2b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (log (/ -1 re)) (/ 1 (log base)))
0.2b
(/ 1 (log base))

rewrite16.0ms

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
Counts
2 → 77
Calls
2 calls:
Slowest
11.0ms
(* (log (/ -1 re)) (/ 1 (log base)))
4.0ms
(/ 1 (log base))

series390.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
259.0ms
(/ 1 (log base))
131.0ms
(* (log (/ -1 re)) (/ 1 (log base)))

simplify2.6s

Counts
73 → 83
Calls
73 calls:
Slowest
442.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))))
272.0ms
(* (* (* (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))))
125.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
120.0ms
(/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base)))

prune853.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.2b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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
Counts
1 → 38
Calls
1 calls:
Slowest
10.0ms
(/ (log (/ -1 re)) (log base))

series130.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
130.0ms
(/ (log (/ -1 re)) (log base))

simplify1.6s

Counts
44 → 41
Calls
44 calls:
Slowest
232.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
195.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
117.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
82.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))
47.0ms
(/ (log (/ -1 re)) (sqrt (log base)))

prune367.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 5.2b

regimes805.0ms

Accuracy

55.5% (9.7b remaining)

Error of 16.6b against oracle of 6.9b and baseline of 28.8b

bsearch305.0ms

end0.0ms

sample35.9s

Algorithm
intervals
Results
25.3s7978×body10240exit
6.5s15931×body80nan
3.0s8000×body80valid