Details

Time bar (total: 20.6s)

sample141.0ms

Algorithm
intervals
Results
65.0ms270×body80nan
51.0ms256×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5174
71116
6232
578
453
339
224
122
018

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (sqrt (+ (* re re) (* im im))))
0.3b
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
31.2b
(sqrt (+ (* re re) (* im im)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
25×log-pow
24×times-frac
23×pow1
19×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
7×sqrt-pow1 pow1/2
6×log-prod sqrt-div add-exp-log sqrt-prod associate-/l*
5×add-cbrt-cube
4×log-div associate-/r*
3×flip3-+ flip-+ insert-posit16 add-log-exp
2×div-sub
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-exp rem-log-exp div-inv
Counts
3 → 85
Calls
3 calls:
8.0ms
(log (sqrt (+ (* re re) (* im im))))
32.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
8.0ms
(sqrt (+ (* re re) (* im im)))

series549.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(log (sqrt (+ (* re re) (* im im))))
413.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
51.0ms
(sqrt (+ (* re re) (* im im)))

simplify2.3s

Counts
94 → 94
Iterations
IterNodes
done5008
42837
31135
2488
1247
0134

prune423.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.6b

localize27.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (log (+ (* re re) (* im im))) (log base))
32.4b
(log (+ (* re re) (* im im)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
13×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
11×log-pow
5×add-exp-log
4×log-div associate-/r* add-cbrt-cube associate-/l*
3×log-prod
2×flip3-+ div-sub flip-+ insert-posit16 add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp div-inv
Counts
2 → 54
Calls
2 calls:
26.0ms
(/ (log (+ (* re re) (* im im))) (log base))
7.0ms
(log (+ (* re re) (* im im)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(/ (log (+ (* re re) (* im im))) (log base))
63.0ms
(log (+ (* re re) (* im im)))

simplify2.1s

Counts
60 → 60
Iterations
IterNodes
done5000
42960
31136
2508
1218
0109

prune243.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.6b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (log base))
0.3b
(* (log (+ (* re re) (* im im))) (/ 1 (log base)))
32.4b
(log (+ (* re re) (* im im)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×times-frac
23×*-un-lft-identity
22×add-cube-cbrt
17×add-exp-log
16×associate-*r*
15×pow1
10×add-cbrt-cube
9×log-pow
4×associate-/r* div-exp associate-*l* prod-exp
3×log-prod insert-posit16 associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv log-div rec-exp 1-exp cbrt-unprod div-inv
1×clear-num frac-2neg flip3-+ rem-log-exp pow-prod-down associate-*r/ un-div-inv *-commutative flip-+ pow-flip inv-pow
Counts
3 → 92
Calls
3 calls:
4.0ms
(/ 1 (log base))
13.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (log base)))
5.0ms
(log (+ (* re re) (* im im)))

series356.0ms

Counts
3 → 9
Calls
3 calls:
207.0ms
(/ 1 (log base))
101.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (log base)))
48.0ms
(log (+ (* re re) (* im im)))

simplify3.3s

Counts
101 → 101
Iterations
IterNodes
done5002
44747
31802
2900
1323
0143

prune431.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 7.5b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (* (/ (log (+ (* re re) (* im im))) (log base)) (/ (log (+ (* re re) (* im im))) (log base))) (/ (log (+ (* re re) (* im im))) (log base))))
32.4b
(log (+ (* re re) (* im im)))
32.4b
(log (+ (* re re) (* im im)))
32.4b
(log (+ (* re re) (* im im)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
9×log-prod
7×add-sqr-sqrt pow1 cbrt-div *-un-lft-identity add-exp-log add-cube-cbrt
6×log-div
5×frac-times associate-*l/
4×add-cbrt-cube insert-posit16 add-log-exp
3×flip3-+ rem-log-exp associate-*r/ log-pow flip-+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 63
Calls
4 calls:
43.0ms
(cbrt (* (* (/ (log (+ (* re re) (* im im))) (log base)) (/ (log (+ (* re re) (* im im))) (log base))) (/ (log (+ (* re re) (* im im))) (log base))))
8.0ms
(log (+ (* re re) (* im im)))
10.0ms
(log (+ (* re re) (* im im)))
10.0ms
(log (+ (* re re) (* im im)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (* (* (/ (log (+ (* re re) (* im im))) (log base)) (/ (log (+ (* re re) (* im im))) (log base))) (/ (log (+ (* re re) (* im im))) (log base))))
50.0ms
(log (+ (* re re) (* im im)))
71.0ms
(log (+ (* re re) (* im im)))
60.0ms
(log (+ (* re re) (* im im)))

simplify2.1s

Counts
75 → 75
Iterations
IterNodes
done5002
42741
3862
2362
1190
098

prune349.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.5b

regimes461.0ms

Accuracy

58% (10.0b remaining)

Error of 17.4b against oracle of 7.4b and baseline of 31.2b

bsearch244.0ms

Steps
ItersRangePoint
8
1.3252953297811756e+38
6.68994686148466e+41
6.605815153598046e+41
9
-2.434780194971887e+92
-1.4837413057401987e+87
-5.139279335366515e+91

simplify8.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.3s8000×body80valid
2.2s7673×body80nan