Details

Time bar (total: 20.1s)

sample37.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010343
111343
done11343

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
27.5b
(sqrt (+ (* re re) (* im im)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
6×sqrt-pow1 pow1/2 associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-/r* sqrt-div
3×flip3-+ sqrt-prod flip-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg div-exp div-inv
Counts
3 → 74
Calls
3 calls:
25.0ms
(+ (* re re) (* im im))
23.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
6.0ms
(sqrt (+ (* re re) (* im im)))

series304.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* re re) (* im im))
216.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
54.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.1s

Counts
83 → 83
Iterations

Useful iterations: done (1.1s)

IterNodesCost
012533837
127730835
2109230755
done500130675

prune557.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
28.7b
(log (+ (* re re) (* im im)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
83×add-sqr-sqrt
54×sqrt-prod
53×*-un-lft-identity add-cube-cbrt
34×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
19×add-exp-log
18×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
6×add-log-exp
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod flip3-+ flip-+ div-inv
2×div-sub
1×frac-times +-commutative clear-num sum-log frac-2neg rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 164
Calls
4 calls:
11.0ms
(+ (* re re) (* im im))
53.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
23.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
7.0ms
(log (+ (* re re) (* im im)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (* re re) (* im im))
223.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
254.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
74.0ms
(log (+ (* re re) (* im im)))

simplify2.5s

Counts
176 → 176
Iterations

Useful iterations: 2 (921.0ms)

IterNodesCost
021487486
160581613
2311779526
done500079566

prune851.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
28.7b
(log (+ (* re re) (* im im)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
44×add-sqr-sqrt times-frac
36×*-un-lft-identity add-cube-cbrt
30×add-cbrt-cube
29×associate-*r*
26×associate-*l*
25×sqrt-prod
22×prod-exp
19×pow1
12×cbrt-unprod
11×div-exp
9×log-prod
8×log-pow
6×cbrt-undiv add-log-exp
4×pow-prod-down associate-*l/
3×distribute-rgt-in rec-exp distribute-lft-in 1-exp unswap-sqr
2×log-div flip3-+ *-commutative flip-+ div-inv
1×frac-times +-commutative sum-log rem-log-exp associate-*r/ un-div-inv
Counts
4 → 135
Calls
4 calls:
12.0ms
(+ (* re re) (* im im))
67.0ms
(* (* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
24.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
5.0ms
(log (+ (* re re) (* im im)))

series705.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (* re re) (* im im))
194.0ms
(* (* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
368.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
92.0ms
(log (+ (* re re) (* im im)))

simplify5.1s

Counts
147 → 147
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
022770539
167563101
2419560642
done500060642

prune910.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.1b

localize54.0ms

Local error

Found 4 expressions with local error:

16.1b
(log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
28.6b
(cbrt (+ (* re re) (* im im)))
28.6b
(cbrt (+ (* re re) (* im im)))
28.6b
(cbrt (+ (* re re) (* im im)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×pow1
9×cbrt-prod flip3-+ pow1/3 log-pow flip-+
8×log-div
7×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
4×frac-times add-cbrt-cube add-log-exp
2×rem-log-exp pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 log-prod pow-plus prod-exp
Counts
4 → 66
Calls
4 calls:
41.0ms
(log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
4.0ms
(cbrt (+ (* re re) (* im im)))
4.0ms
(cbrt (+ (* re re) (* im im)))
4.0ms
(cbrt (+ (* re re) (* im im)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
129.0ms
(cbrt (+ (* re re) (* im im)))
127.0ms
(cbrt (+ (* re re) (* im im)))
181.0ms
(cbrt (+ (* re re) (* im im)))

simplify3.6s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
09634382
121430021
271129354
3388928874
done500228874

prune1.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 8.1b

regimes747.0ms

Accuracy

58.9% (10.1b remaining)

Error of 17.3b against oracle of 7.2b and baseline of 31.7b

bsearch148.0ms

Steps
ItersRangePoint
9
1.8841348729660574e+121
3.270754152227266e+128
7.392440833541334e+126
9
-2.741116183037804e+158
-6.518035068066237e+150
-1.1817931832138217e+151

simplify9.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0331189
1431189
done431189

end0.0ms

sample922.0ms

Algorithm
intervals
Results
702.0ms8000×body80valid