Details

Time bar (total: 1.0m)

sample1.1s

Algorithm
intervals
Results
841.0ms275×body10240exit
180.0ms527×body80nan
57.0ms256×body80valid

simplify55.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
55.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.5b

localize27.0ms

Local error

Found 4 expressions with local error:

30.9b
(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)))

rewrite62.0ms

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
27.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
15.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
10.0ms
(sqrt (+ (* re re) (* im im)))
8.0ms
(* (log base) (log base))

series544.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
242.0ms
(* (log base) (log base))
132.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
120.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
50.0ms
(sqrt (+ (* re re) (* im im)))

simplify6.7s

Counts
83 → 116
Calls
83 calls:
Slowest
746.0ms
(/ (* (* (* (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))))
627.0ms
(/ (* (* (* (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))))
583.0ms
(/ (* (* (* (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))))
573.0ms
(- (+ (log (log (sqrt (+ (* re re) (* im im))))) (log (log base))) (+ (log (log base)) (log (log base))))
496.0ms
(- (log (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (log (* (log base) (log base))))

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.3b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×times-frac
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×pow1 log-prod
11×log-pow
7×add-exp-log
4×associate-/r* add-cbrt-cube associate-/l*
2×log-div div-exp rem-log-exp insert-posit16 div-inv add-log-exp
1×cbrt-undiv clear-num frac-2neg div-sub
Counts
2 → 63
Calls
2 calls:
Slowest
14.0ms
(/ (log (/ -1 re)) (log base))
3.0ms
(log (/ -1 re))

series382.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
225.0ms
(log (/ -1 re))
157.0ms
(/ (log (/ -1 re)) (log base))

simplify2.2s

Counts
63 → 69
Calls
63 calls:
Slowest
227.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
197.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
174.0ms
(log (/ (* (cbrt -1) (cbrt -1)) (* (cbrt re) (cbrt re))))
131.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
87.0ms
(log (/ (* (cbrt -1) (cbrt -1)) (sqrt re)))

prune759.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.3b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×times-frac
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×pow1 log-prod
11×log-pow
7×add-exp-log
4×associate-/r* add-cbrt-cube associate-/l*
2×log-div div-exp rem-log-exp insert-posit16 div-inv add-log-exp
1×cbrt-undiv clear-num frac-2neg div-sub
Counts
2 → 63
Calls
2 calls:
Slowest
8.0ms
(/ (log (/ -1 re)) (log base))
3.0ms
(log (/ -1 re))

series284.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
164.0ms
(log (/ -1 re))
120.0ms
(/ (log (/ -1 re)) (log base))

simplify2.4s

Counts
63 → 69
Calls
63 calls:
Slowest
493.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
274.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
143.0ms
(log (/ (* (cbrt -1) (cbrt -1)) (* (cbrt re) (cbrt re))))
111.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
74.0ms
(log (/ (sqrt -1) (* (cbrt re) (cbrt re))))

prune736.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 8.3b

localize33.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (log (/ -1 re)) (/ 1 (log base)))
0.2b
(/ 1 (log base))
0.0b
(log (/ -1 re))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt times-frac
29×*-un-lft-identity
28×add-cube-cbrt
19×add-exp-log
16×associate-*r*
15×pow1
13×log-prod
10×add-cbrt-cube
9×log-pow
5×div-exp
4×associate-/r* associate-*l* prod-exp
3×insert-posit16 div-inv associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp 1-exp rem-log-exp cbrt-unprod
1×log-div clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 102
Calls
3 calls:
Slowest
22.0ms
(* (log (/ -1 re)) (/ 1 (log base)))
8.0ms
(/ 1 (log base))
3.0ms
(log (/ -1 re))

series557.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
230.0ms
(/ 1 (log base))
197.0ms
(log (/ -1 re))
131.0ms
(* (log (/ -1 re)) (/ 1 (log base)))

simplify3.2s

Counts
92 → 111
Calls
92 calls:
Slowest
425.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))))
270.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
256.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
142.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
141.0ms
(log (/ (* (cbrt -1) (cbrt -1)) (* (cbrt re) (cbrt re))))

prune1.0s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.3b

regimes1.1s

Accuracy

48% (11.3b remaining)

Error of 18.6b against oracle of 7.3b and baseline of 29.0b

bsearch2.5s

end0.0ms

sample35.7s

Algorithm
intervals
Results
26.4s7974×body10240exit
5.2s16305×body80nan
3.0s8000×body80valid