Details

Time bar (total: 17.3s)

sample102.0ms

Algorithm
intervals
Results
39.0ms256×body80valid
37.0ms270×body80nan

simplify2.0s

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.5b

localize27.0ms

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)))

rewrite47.0ms

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:
5.0ms
(log (sqrt (+ (* re re) (* im im))))
32.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
9.0ms
(sqrt (+ (* re re) (* im im)))

series254.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(log (sqrt (+ (* re re) (* im im))))
127.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
50.0ms
(sqrt (+ (* re re) (* im im)))

simplify2.2s

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

prune387.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.6b

localize36.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* 1/2 (log (+ (* re re) (* im im)))) (log base))
32.4b
(log (+ (* re re) (* im im)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log
7×add-cbrt-cube
5×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
4×associate-/r* times-frac
3×log-prod log-pow
2×cbrt-undiv log-div div-exp insert-posit16 add-log-exp
1×clear-num frac-2neg flip3-+ rem-log-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l*
Counts
2 → 39
Calls
2 calls:
32.0ms
(/ (* 1/2 (log (+ (* re re) (* im im)))) (log base))
9.0ms
(log (+ (* re re) (* im im)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(/ (* 1/2 (log (+ (* re re) (* im im)))) (log base))
68.0ms
(log (+ (* re re) (* im im)))

simplify2.1s

Counts
45 → 45
Iterations
IterNodes
done5000
32285
2638
1248
0104

prune223.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.6b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (log base))
0.3b
(* (* 1/2 (log (+ (* re re) (* im im)))) (/ 1 (log base)))
32.4b
(log (+ (* re re) (* im im)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
24×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×pow1 add-cbrt-cube
16×associate-*r*
12×prod-exp
8×log-pow
6×div-exp cbrt-unprod
4×associate-/r*
3×cbrt-undiv rec-exp log-prod 1-exp pow-prod-down insert-posit16 associate-/l* add-log-exp
2×log-div div-inv
1×clear-num frac-2neg flip3-+ rem-log-exp associate-*l* associate-*r/ un-div-inv *-commutative flip-+ pow-flip inv-pow
Counts
3 → 93
Calls
3 calls:
5.0ms
(/ 1 (log base))
19.0ms
(* (* 1/2 (log (+ (* re re) (* im im)))) (/ 1 (log base)))
5.0ms
(log (+ (* re re) (* im im)))

series379.0ms

Counts
3 → 9
Calls
3 calls:
202.0ms
(/ 1 (log base))
109.0ms
(* (* 1/2 (log (+ (* re re) (* im im)))) (/ 1 (log base)))
68.0ms
(log (+ (* re re) (* im im)))

simplify2.2s

Counts
102 → 102
Iterations
IterNodes
done5003
33202
21034
1370
0152

prune364.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 7.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (/ 1/8 (/ (log base) (log (+ (* re re) (* im im))))) (* (/ (log base) (log (+ (* re re) (* im im)))) (/ (log base) (log (+ (* re re) (* im im)))))))
32.4b
(log (+ (* re re) (* im im)))
32.4b
(log (+ (* re re) (* im im)))
32.4b
(log (+ (* re re) (* im im)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
72×cbrt-prod
56×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
31×pow1
27×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×div-inv
4×add-cbrt-cube associate-/r/ insert-posit16 add-log-exp
3×flip3-+ rem-log-exp flip-+
1×frac-times cbrt-div pow1/3 associate-*l/ associate-*r/
Counts
4 → 127
Calls
4 calls:
8.0ms
(cbrt (/ (/ 1/8 (/ (log base) (log (+ (* re re) (* im im))))) (* (/ (log base) (log (+ (* re re) (* im im)))) (/ (log base) (log (+ (* re re) (* im im)))))))
8.0ms
(log (+ (* re re) (* im im)))
6.0ms
(log (+ (* re re) (* im im)))
6.0ms
(log (+ (* re re) (* im im)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (/ (/ 1/8 (/ (log base) (log (+ (* re re) (* im im))))) (* (/ (log base) (log (+ (* re re) (* im im)))) (/ (log base) (log (+ (* re re) (* im im)))))))
48.0ms
(log (+ (* re re) (* im im)))
50.0ms
(log (+ (* re re) (* im im)))
48.0ms
(log (+ (* re re) (* im im)))

simplify2.0s

Counts
139 → 139
Iterations
IterNodes
done5001
22255
1844
0357

prune590.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 7.5b

regimes460.0ms

Accuracy

58% (10.0b remaining)

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

bsearch145.0ms

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

simplify4.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.4s7673×body80nan
1.4s8000×body80valid