Details

Time bar (total: 8.0s)

sample30.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 log-prod *-un-lft-identity add-cube-cbrt sqrt-prod
5×add-log-exp
4×sqrt-div add-exp-log
3×flip3-+ add-cbrt-cube log-pow flip-+ insert-posit16
2×log-div sqrt-pow1 pow1/2
1×+-commutative rem-sqrt-square sum-log rem-log-exp
Counts
3 → 48
Calls
3 calls:
8.0ms
(log (sqrt (+ (* re re) (* im im))))
12.0ms
(+ (* re re) (* im im))
8.0ms
(sqrt (+ (* re re) (* im im)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(log (sqrt (+ (* re re) (* im im))))
44.0ms
(+ (* re re) (* im im))
51.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.5s

Counts
57 → 57
Iterations
IterNodes
done5004
31567
2419
1165
076

prune173.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 6.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* re re) (* im im))
31.1b
(log (+ (* re re) (* im im)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
3×add-sqr-sqrt pow1 log-prod *-un-lft-identity add-exp-log add-cube-cbrt
2×log-div flip3-+ add-cbrt-cube flip-+ insert-posit16
1×+-commutative sum-log rem-log-exp log-pow
Counts
2 → 27
Calls
2 calls:
7.0ms
(+ (* re re) (* im im))
6.0ms
(log (+ (* re re) (* im im)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* re re) (* im im))
51.0ms
(log (+ (* re re) (* im im)))

simplify1.3s

Counts
33 → 33
Iterations
IterNodes
done5001
31340
2398
1151
059

prune149.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))
31.1b
(log (+ (* re re) (* im im)))
31.1b
(log (+ (* re re) (* im im)))
31.1b
(log (+ (* re re) (* im im)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
23×add-sqr-sqrt
20×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×log-prod swap-sqr add-exp-log log-pow
7×associate-*r* associate-*l*
6×log-div pow1/3
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
3×flip3-+ rem-log-exp flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
15.0ms
(* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))
9.0ms
(log (+ (* re re) (* im im)))
10.0ms
(log (+ (* re re) (* im im)))
9.0ms
(log (+ (* re re) (* im im)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))
50.0ms
(log (+ (* re re) (* im im)))
58.0ms
(log (+ (* re re) (* im im)))
65.0ms
(log (+ (* re re) (* im im)))

simplify1.9s

Counts
103 → 103
Iterations
IterNodes
done5001
42817
31163
2546
1230
095

prune376.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 6.7b

localize3.0ms

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: 6.7b

regimes318.0ms

Accuracy

54.5% (10.4b remaining)

Error of 17.6b against oracle of 7.1b and baseline of 30.0b

bsearch136.0ms

Steps
ItersRangePoint
10
12461.173664998358
8322112628852838.0
8235632211164311.0
8
5.933421948035247e-256
7.3602847151824065e-252
8.33451305802747e-256
7
-2.1067132866399153e-175
-1.247380932766073e-177
-1.2552454715818077e-176
6
-3.505749298226566e+116
-2.552279280824353e+115
-1.3951279250903065e+116

simplify7.0ms

Iterations
IterNodes
done26
126
024

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid