Details

Time bar (total: 7.5s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
189
done89

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.0b
(log (sqrt (+ (* re re) (* im im))))
28.5b
(sqrt (+ (* re re) (* im im)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-cube-cbrt log-prod *-un-lft-identity sqrt-prod
5×add-log-exp
4×add-exp-log sqrt-div
3×flip3-+ log-pow add-cbrt-cube flip-+
2×log-div sqrt-pow1 pow1/2
1×+-commutative rem-sqrt-square rem-log-exp sum-log
Counts
3 → 45
Calls
3 calls:
3.0ms
(+ (* re re) (* im im))
3.0ms
(log (sqrt (+ (* re re) (* im im))))
4.0ms
(sqrt (+ (* re re) (* im im)))

series121.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* re re) (* im im))
60.0ms
(log (sqrt (+ (* re re) (* im im))))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.0s

Counts
54 → 54
Iterations

Useful iterations: 3 (263.0ms)

IterNodesCost
073702
1157651
2474561
31662555
done5001555

prune139.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 7.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* re re) (* im im))
29.6b
(log (+ (* re re) (* im im)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
3×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-prod *-un-lft-identity
2×log-div flip3-+ add-cbrt-cube flip-+
1×+-commutative rem-log-exp sum-log log-pow
Counts
2 → 25
Calls
2 calls:
3.0ms
(+ (* re re) (* im im))
3.0ms
(log (+ (* re re) (* im im)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* re re) (* im im))
53.0ms
(log (+ (* re re) (* im im)))

simplify924.0ms

Counts
31 → 31
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
057397
1147382
2442312
31413312
done5000312

prune77.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.5b
(cbrt (pow (log (+ (* re re) (* im im))) 3))
0.7b
(pow (log (+ (* re re) (* im im))) 3)
29.6b
(log (+ (* re re) (* im im)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1
8×unpow-prod-down cube-prod
6×add-exp-log add-log-exp
5×log-pow add-cbrt-cube
3×pow-unpow log-prod
2×cube-mult log-div flip3-+ unpow3 flip-+ sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 rem-log-exp pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
4 → 73
Calls
4 calls:
3.0ms
(+ (* re re) (* im im))
2.0ms
(cbrt (pow (log (+ (* re re) (* im im))) 3))
2.0ms
(pow (log (+ (* re re) (* im im))) 3)
3.0ms
(log (+ (* re re) (* im im)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* re re) (* im im))
52.0ms
(cbrt (pow (log (+ (* re re) (* im im))) 3))
84.0ms
(pow (log (+ (* re re) (* im im))) 3)
47.0ms
(log (+ (* re re) (* im im)))

simplify1.8s

Counts
85 → 85
Iterations

Useful iterations: 2 (226.0ms)

IterNodesCost
01021274
12501072
2762924
33295924
done5000924

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 7.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (pow (log (+ (* re re) (* im im))) 3))
0.7b
(pow (log (+ (* re re) (* im im))) 3)
0.7b
(pow (cbrt (pow (log (+ (* re re) (* im im))) 3)) 3)
29.6b
(log (+ (* re re) (* im im)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
33×unpow-prod-down cube-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×pow1
9×log-pow
7×add-exp-log
6×pow-unpow
5×cube-mult unpow3 add-cbrt-cube sqr-pow
4×add-log-exp
3×log-prod pow-pow
2×pow-to-exp log-div pow1/3 pow-exp rem-cube-cbrt
1×flip3-+ rem-log-exp rem-cbrt-cube flip-+
Counts
4 → 114
Calls
4 calls:
2.0ms
(cbrt (pow (log (+ (* re re) (* im im))) 3))
2.0ms
(pow (log (+ (* re re) (* im im))) 3)
5.0ms
(pow (cbrt (pow (log (+ (* re re) (* im im))) 3)) 3)
3.0ms
(log (+ (* re re) (* im im)))

series259.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(cbrt (pow (log (+ (* re re) (* im im))) 3))
81.0ms
(pow (log (+ (* re re) (* im im))) 3)
82.0ms
(pow (cbrt (pow (log (+ (* re re) (* im im))) 3)) 3)
50.0ms
(log (+ (* re re) (* im im)))

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: 3 (556.0ms)

IterNodesCost
01202364
12901781
26611555
328331529
done50001529

prune218.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 7.6b

regimes211.0ms

Accuracy

58.9% (10.1b remaining)

Error of 17.1b against oracle of 7.0b and baseline of 31.6b

bsearch55.0ms

Steps
ItersRangePoint
7
1.8684288122828866e+141
1.487546070235645e+143
6.23122095692667e+141
8
-7.694350151096703e+119
-2.0669682865938928e+117
-2.0142287793804751e+118

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02332
12932
done2932

end0.0ms

sample380.0ms

Algorithm
intervals
Results
245.0ms8000×body80valid