Details

Time bar (total: 4.8s)

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117
done117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
30.3b
(sqrt (+ (* re re) (* im im)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
4×add-exp-log sqrt-div associate-/r* add-cbrt-cube
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num div-inv
Counts
2 → 63
Calls
2 calls:
33.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
9.0ms
(sqrt (+ (* re re) (* im im)))

series170.0ms

Counts
2 → 6
Calls
2 calls:
133.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
37.0ms
(sqrt (+ (* re re) (* im im)))

simplify124.0ms

Counts
69 → 69
Iterations

Useful iterations: 4 (117.0ms)

IterNodesCost
0221664
1556631
21309628
34047628
45001627
done5001627

prune198.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 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)))
31.5b
(log (+ (* re re) (* im im)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×add-cube-cbrt *-un-lft-identity
33×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
18×add-exp-log
17×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 153
Calls
3 calls:
51.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
30.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
7.0ms
(log (+ (* re re) (* im im)))

series380.0ms

Counts
3 → 9
Calls
3 calls:
141.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
190.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
49.0ms
(log (+ (* re re) (* im im)))

simplify58.0ms

Counts
162 → 162
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05282082
120651915
250011832
done50011832

prune379.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
16.2b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
16.4b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×times-frac
39×add-cube-cbrt *-un-lft-identity
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
12×pow1 unpow-prod-down
11×add-exp-log
8×log-pow add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
4×associate-*r* sqr-pow
3×rem-log-exp add-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv pow-pow div-exp pow-prod-down associate-*l/ *-commutative
Counts
3 → 117
Calls
3 calls:
45.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
15.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
13.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

series977.0ms

Counts
3 → 9
Calls
3 calls:
385.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
308.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
284.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

simplify58.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04631699
119901501
250011310
done50011310

prune347.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
1.0b
(sqrt (sqrt (log 10.0)))
1.0b
(sqrt (sqrt (log 10.0)))
31.5b
(log (+ (* re re) (* im im)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
44×sqrt-prod
31×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt *-un-lft-identity
24×pow1
16×log-pow
8×sqrt-pow1
7×add-exp-log associate-/r*
6×add-cbrt-cube
4×rem-sqrt-square log-div pow1/2 associate-/l* add-log-exp
3×log-prod
2×flip3-+ div-sub flip-+
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv
Counts
4 → 107
Calls
4 calls:
31.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
3.0ms
(sqrt (sqrt (log 10.0)))
3.0ms
(sqrt (sqrt (log 10.0)))
8.0ms
(log (+ (* re re) (* im im)))

series239.0ms

Counts
4 → 8
Calls
4 calls:
189.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
0.0ms
(sqrt (sqrt (log 10.0)))
0.0ms
(sqrt (sqrt (log 10.0)))
50.0ms
(log (+ (* re re) (* im im)))

simplify54.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
02571035
1659977
21850941
35002941
done5002941

prune321.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 6.2b

regimes481.0ms

Accuracy

59.4% (10.1b remaining)

Error of 17.8b against oracle of 7.7b and baseline of 32.6b

bsearch103.0ms

Steps
ItersRangePoint
10
2.3619669095330038e+58
3.2163078901073e+70
2.6347790876136963e+68
10
-2.0230531848416646e+149
-4.712630985306785e+138
-1.012696922971656e+144

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04534
14534
done4534

end0.0ms

sample578.0ms

Algorithm
intervals
Results
379.0ms8000×body80valid