Details

Time bar (total: 1.3m)

sample1.1s

Algorithm
intervals
Results
815.0ms272×body10240exit
157.0ms553×body80nan
60.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
15.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize25.0ms

Local error

Found 4 expressions with local error:

31.7b
(sqrt (+ (* re re) (* im im)))
0.6b
(* (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)))

rewrite61.0ms

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
20.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
16.0ms
(* (log base) (log base))
12.0ms
(sqrt (+ (* re re) (* im im)))
11.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))

series637.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
263.0ms
(* (log base) (log base))
167.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
146.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
61.0ms
(sqrt (+ (* re re) (* im im)))

simplify14.8s

Counts
138 → 116
Calls
138 calls:
Slowest
1.1s
(* (* (/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base))) (/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))) (/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base))))
830.0ms
(/ (* (* (* (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))))
791.0ms
(/ (* (* (* (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))))
784.0ms
(/ (* (* (* (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))))
745.0ms
(log (/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base))))

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.1b

localize14.0ms

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))

series111.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
111.0ms
(/ (log (/ -1 re)) (log base))

simplify2.9s

Counts
59 → 41
Calls
59 calls:
Slowest
559.0ms
(* (* (/ (log (/ -1 re)) (log base)) (/ (log (/ -1 re)) (log base))) (/ (log (/ -1 re)) (log base)))
296.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
229.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
97.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
88.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))

prune450.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.6b
(* (log base) (log base))
0.4b
(/ (* (log (- re)) (log base)) (* (log base) (log base)))
0.4b
(* (log (- re)) (log base))

rewrite36.0ms

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*
Counts
3 → 86
Calls
3 calls:
Slowest
17.0ms
(/ (* (log (- re)) (log base)) (* (log base) (log base)))
10.0ms
(* (log (- re)) (log base))
7.0ms
(* (log base) (log base))

series449.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
214.0ms
(* (log base) (log base))
119.0ms
(/ (* (log (- re)) (log base)) (* (log base) (log base)))
116.0ms
(* (log (- re)) (log base))

simplify13.3s

Counts
114 → 95
Calls
114 calls:
Slowest
1.2s
(* (* (/ (* (log (- re)) (log base)) (* (log base) (log base))) (/ (* (log (- re)) (log base)) (* (log base) (log base)))) (/ (* (log (- re)) (log base)) (* (log base) (log base))))
974.0ms
(/ (* (log base) (log base)) (* (log (- re)) (log base)))
726.0ms
(log (/ (* (log (- re)) (log base)) (* (log base) (log base))))
638.0ms
(exp (/ (* (log (- re)) (log base)) (* (log base) (log base))))
631.0ms
(/ (* (* (* (log (- re)) (log base)) (* (log (- re)) (log base))) (* (log (- re)) (log base))) (* (* (* (log base) (log base)) (* (log base) (log base))) (* (log base) (log base))))

prune892.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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
7.0ms
(/ (log (/ -1 re)) (log base))

series124.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
124.0ms
(/ (log (/ -1 re)) (log base))

simplify2.9s

Counts
59 → 41
Calls
59 calls:
Slowest
552.0ms
(* (* (/ (log (/ -1 re)) (log base)) (/ (log (/ -1 re)) (log base))) (/ (log (/ -1 re)) (log base)))
279.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
220.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
120.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
86.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))

prune791.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.1b

regimes1.2s

Accuracy

45% (12.3b remaining)

Error of 19.3b against oracle of 7.0b and baseline of 29.4b

bsearch491.0ms

end0.0ms

sample36.2s

Algorithm
intervals
Results
27.2s7892×body10240exit
4.9s15749×body80nan
3.0s8000×body80valid