Details

Time bar (total: 8.8s)

sample26.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* re re) (* im im))
30.1b
(sqrt (+ (* re re) (* im im)))

rewrite20.0ms

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:
10.0ms
(+ (* re re) (* im im))
9.0ms
(sqrt (+ (* re re) (* im im)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* re re) (* im im))
59.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.7s

Counts
34 → 34
Iterations
IterNodes
done5000
31599
2373
1129
050

prune139.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.1b

localize25.0ms

Local error

Found 4 expressions with local error:

12.9b
(sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
31.0b
(cbrt (+ (* re re) (* im im)))
31.0b
(cbrt (+ (* re re) (* im im)))
31.0b
(cbrt (+ (* re re) (* im im)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×pow1
9×cbrt-prod sqrt-pow1 flip3-+ pow1/3 flip-+
8×sqrt-div
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×frac-times add-cbrt-cube add-exp-log insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 rem-sqrt-square pow-plus pow1/2 sqrt-prod
Counts
4 → 70
Calls
4 calls:
15.0ms
(sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
8.0ms
(cbrt (+ (* re re) (* im im)))
5.0ms
(cbrt (+ (* re re) (* im im)))
4.0ms
(cbrt (+ (* re re) (* im im)))

series484.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
107.0ms
(cbrt (+ (* re re) (* im im)))
134.0ms
(cbrt (+ (* re re) (* im im)))
147.0ms
(cbrt (+ (* re re) (* im im)))

simplify1.5s

Counts
82 → 82
Iterations
IterNodes
done5001
42428
3846
2363
1184
098

prune463.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.1b

localize45.0ms

Local error

Found 4 expressions with local error:

31.0b
(cbrt (+ (* re re) (* im im)))
31.0b
(cbrt (+ (* re re) (* im im)))
31.0b
(cbrt (+ (* re re) (* im im)))
31.0b
(cbrt (+ (* re re) (* im im)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt cbrt-div *-un-lft-identity add-cube-cbrt
4×pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ insert-posit16 add-log-exp
Counts
4 → 56
Calls
4 calls:
8.0ms
(cbrt (+ (* re re) (* im im)))
8.0ms
(cbrt (+ (* re re) (* im im)))
8.0ms
(cbrt (+ (* re re) (* im im)))
8.0ms
(cbrt (+ (* re re) (* im im)))

series441.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (+ (* re re) (* im im)))
96.0ms
(cbrt (+ (* re re) (* im im)))
119.0ms
(cbrt (+ (* re re) (* im im)))
132.0ms
(cbrt (+ (* re re) (* im im)))

simplify2.0s

Counts
68 → 68
Iterations
IterNodes
done5027
43720
31029
2311
1124
052

prune735.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 7.1b

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

5 alts after pruning (2 fresh and 3 done)

Merged error: 7.1b

regimes284.0ms

Accuracy

57.7% (9.1b remaining)

Error of 16.6b against oracle of 7.5b and baseline of 28.9b

bsearch83.0ms

Steps
ItersRangePoint
9
1.4356436329954285e+137
2.3935951588787148e+142
5.887500437435469e+139
10
-3.706207899435069e+161
-2.779942061402865e+151
-1.2743190345131582e+154

simplify2.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample718.0ms

Algorithm
intervals
Results
559.0ms8000×body80valid