Details

Time bar (total: 18.7s)

sample43.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11112
done1112

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize13.0ms

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))
27.4b
(sqrt (+ (* re re) (* im im)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div associate-/r*
3×flip3-+ sqrt-prod flip-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg div-exp clear-num sum-log div-inv
Counts
3 → 74
Calls
3 calls:
8.0ms
(+ (* re re) (* im im))
42.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
21.0ms
(sqrt (+ (* re re) (* im im)))

series314.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (* re re) (* im im))
198.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
72.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.4s

Counts
83 → 83
Iterations

Useful iterations: 3 (423.0ms)

IterNodesCost
01251357
12541281
25881165
313941163
435091163
done50011163

prune432.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
28.4b
(log (+ (* re re) (* im im)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
83×add-sqr-sqrt
54×sqrt-prod
53×add-cube-cbrt *-un-lft-identity
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×+-commutative frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 164
Calls
4 calls:
8.0ms
(+ (* re re) (* im im))
95.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
55.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
14.0ms
(log (+ (* re re) (* im im)))

series629.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* re re) (* im im))
248.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
280.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
67.0ms
(log (+ (* re re) (* im im)))

simplify1.9s

Counts
176 → 176
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02143631
15503423
216513032
done50002997

prune651.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.7b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
1.0b
(sqrt (sqrt (log 10.0)))
1.0b
(sqrt (sqrt (log 10.0)))
28.4b
(log (+ (* re re) (* im im)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
101×sqrt-prod
60×times-frac
56×add-sqr-sqrt
52×add-cube-cbrt *-un-lft-identity
33×cbrt-prod
18×pow1
10×associate-/r* log-pow
8×sqrt-pow1
7×add-exp-log
6×associate-/l*
5×add-cbrt-cube
4×rem-sqrt-square pow1/2 add-log-exp
3×log-prod
2×log-div
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ div-inv
Counts
4 → 142
Calls
4 calls:
10.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
5.0ms
(sqrt (sqrt (log 10.0)))
5.0ms
(sqrt (sqrt (log 10.0)))
15.0ms
(log (+ (* re re) (* im im)))

series74.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
0.0ms
(sqrt (sqrt (log 10.0)))
0.0ms
(sqrt (sqrt (log 10.0)))
74.0ms
(log (+ (* re re) (* im im)))

simplify3.9s

Counts
148 → 148
Iterations

Useful iterations: 4 (921.0ms)

IterNodesCost
01691907
12841670
25301616
39511604
418301603
538791603
done50011603

prune679.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.6b

localize46.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (sqrt (log 10.0)))
1.0b
(sqrt (sqrt (log 10.0)))
28.3b
(cbrt (+ (* re re) (* im im)))
28.3b
(cbrt (+ (* re re) (* im im)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
14×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity
8×sqrt-pow1
6×cbrt-prod
4×add-exp-log rem-sqrt-square cbrt-div pow1/2 add-cbrt-cube add-log-exp
2×flip3-+ pow1/3 log-pow flip-+
Counts
4 → 66
Calls
4 calls:
5.0ms
(sqrt (sqrt (log 10.0)))
3.0ms
(sqrt (sqrt (log 10.0)))
5.0ms
(cbrt (+ (* re re) (* im im)))
5.0ms
(cbrt (+ (* re re) (* im im)))

series277.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(sqrt (sqrt (log 10.0)))
0.0ms
(sqrt (sqrt (log 10.0)))
126.0ms
(cbrt (+ (* re re) (* im im)))
150.0ms
(cbrt (+ (* re re) (* im im)))

simplify3.0s

Counts
74 → 74
Iterations

Useful iterations: done (3.0s)

IterNodesCost
087812
1183724
2412656
31069638
43464630
done5001614

prune510.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 5.6b

regimes774.0ms

Accuracy

57.8% (10.2b remaining)

Error of 17.6b against oracle of 7.4b and baseline of 31.5b

bsearch144.0ms

Steps
ItersRangePoint
9
1.5452202130089212e+114
1.5143233905888044e+120
7.247940179609698e+118
9
-2.0350997751618612e+124
-4.455739765009825e+115
-6.07069681777005e+119

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04073
15173
done5173

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8000×body80valid