Details

Time bar (total: 7.0s)

sample24.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
06

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
7.0ms
(+ (* re re) (* im im))
7.0ms
(sqrt (+ (* re re) (* im im)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* re re) (* im im))
54.0ms
(sqrt (+ (* re re) (* im im)))

simplify582.0ms

Counts
34 → 34
Iterations
IterNodes
done5000
2787
1144
050

prune134.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.6b

localize28.0ms

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)))

rewrite60.0ms

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:
7.0ms
(+ (* re re) (* im im))
39.0ms
(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
6.0ms
(sqrt (+ (* re re) (* im im)))
6.0ms
(sqrt (+ (* re re) (* im im)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* re re) (* im im))
37.0ms
(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
37.0ms
(sqrt (+ (* re re) (* im im)))
45.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.3s

Counts
140 → 140
Iterations
IterNodes
done5000
21525
1294
0124

prune396.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 7.6b

localize50.0ms

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)))

rewrite24.0ms

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:
8.0ms
(sqrt (+ (* re re) (* im im)))
5.0ms
(cbrt (+ (* re re) (* im im)))
5.0ms
(cbrt (+ (* re re) (* im im)))
5.0ms
(cbrt (+ (* re re) (* im im)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (+ (* re re) (* im im)))
113.0ms
(cbrt (+ (* re re) (* im im)))
118.0ms
(cbrt (+ (* re re) (* im im)))
126.0ms
(cbrt (+ (* re re) (* im im)))

simplify2.0s

Counts
70 → 70
Iterations
IterNodes
done5002
32986
2534
1152
067

prune432.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 7.6b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 7.6b

regimes472.0ms

Accuracy

57.8% (9.2b remaining)

Error of 16.8b against oracle of 7.7b and baseline of 29.4b

bsearch63.0ms

Steps
ItersRangePoint
8
1.0202913897586463e+104
3.251572119276446e+106
3.221654116729901e+106
9
-2.3877474970773425e+156
-2.0044150779320932e+149
-2.6806112513558803e+152

simplify2.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample792.0ms

Algorithm
intervals
Results
642.0ms8000×body80valid