Details

Time bar (total: 21.9s)

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
06

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize86.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* re re) (* im im))
30.4b
(sqrt (+ (* re re) (* im im)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
2×flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ insert-posit16
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
2 → 28
Calls
2 calls:
36.0ms
(+ (* re re) (* im im))
35.0ms
(sqrt (+ (* re re) (* im im)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (* re re) (* im im))
83.0ms
(sqrt (+ (* re re) (* im im)))

simplify4.5s

Counts
34 → 34
Iterations
IterNodes
done5000
31563
2372
1129
050

prune415.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.8b

localize98.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.5b
(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
30.4b
(sqrt (+ (* re re) (* im im)))
30.4b
(sqrt (+ (* re re) (* im im)))

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
50×add-sqr-sqrt
34×sqrt-pow1
29×pow1
28×sqrt-div
18×*-un-lft-identity pow1/2 add-cube-cbrt
15×swap-sqr
9×flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
6×add-cbrt-cube add-exp-log add-log-exp
5×pow-prod-down pow-sqr
4×frac-times insert-posit16
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
35.0ms
(+ (* re re) (* im im))
198.0ms
(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
30.0ms
(sqrt (+ (* re re) (* im im)))
17.0ms
(sqrt (+ (* re re) (* im im)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (* re re) (* im im))
90.0ms
(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
92.0ms
(sqrt (+ (* re re) (* im im)))
76.0ms
(sqrt (+ (* re re) (* im im)))

simplify4.4s

Counts
140 → 140
Iterations
IterNodes
done5000
31680
2571
1271
0124

prune982.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 7.8b

localize194.0ms

Local error

Found 4 expressions with local error:

30.4b
(sqrt (+ (* re re) (* im im)))
31.3b
(cbrt (+ (* re re) (* im im)))
31.3b
(cbrt (+ (* re re) (* im im)))
31.3b
(cbrt (+ (* re re) (* im im)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-div
5×pow1
4×flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 58
Calls
4 calls:
17.0ms
(sqrt (+ (* re re) (* im im)))
12.0ms
(cbrt (+ (* re re) (* im im)))
11.0ms
(cbrt (+ (* re re) (* im im)))
11.0ms
(cbrt (+ (* re re) (* im im)))

series598.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(sqrt (+ (* re re) (* im im)))
180.0ms
(cbrt (+ (* re re) (* im im)))
210.0ms
(cbrt (+ (* re re) (* im im)))
149.0ms
(cbrt (+ (* re re) (* im im)))

simplify6.5s

Counts
70 → 70
Iterations
IterNodes
done5002
43940
31044
2333
1144
067

prune873.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 7.8b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune2.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 7.8b

regimes1.4s

Accuracy

55% (10.6b remaining)

Error of 18.5b against oracle of 7.9b and baseline of 31.4b

bsearch177.0ms

Steps
ItersRangePoint
8
1.0202913897586463e+104
3.251572119276446e+106
3.161818111636812e+106
3
1.3373501688296423e-158
1.7803579200561248e-158
1.6972939667011593e-158
8
-3.147576329037351e-256
-6.1523601201211696e-260
-2.35268515513709e-257
9
-2.3877474970773425e+156
-2.0044150779320932e+149
-2.5847343597756595e+152

simplify14.0ms

Iterations
IterNodes
done20
120
019

end0.0ms

sample817.0ms

Algorithm
intervals
Results
496.0ms8000×body80valid