Details

Time bar (total: 15.8s)

sample31.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify17.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

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))
30.0b
(sqrt (+ (* re re) (* im im)))

rewrite79.0ms

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:
9.0ms
(+ (* re re) (* im im))
58.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
9.0ms
(sqrt (+ (* re re) (* im im)))

series322.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (* re re) (* im im))
203.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
68.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.2s

Counts
83 → 83

prune321.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.2b

localize16.0ms

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))))
0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
31.4b
(log (+ (* re re) (* im im)))

rewrite154.0ms

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:
12.0ms
(+ (* re re) (* im im))
79.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
40.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
7.0ms
(log (+ (* re re) (* im im)))

series593.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* re re) (* im im))
199.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
286.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
73.0ms
(log (+ (* re re) (* im im)))

simplify1.0s

Counts
176 → 176

prune711.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
15.8b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
16.8b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
44×times-frac
40×add-cube-cbrt *-un-lft-identity
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
13×pow1
12×add-exp-log unpow-prod-down
9×add-cbrt-cube
8×log-pow
7×distribute-rgt-in distribute-lft-in
6×add-log-exp
4×associate-*r* sqr-pow
3×rem-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv +-commutative pow-pow flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+
Counts
4 → 128
Calls
4 calls:
11.0ms
(+ (* re re) (* im im))
66.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
27.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
20.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

series1.9s

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* re re) (* im im))
537.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
502.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
800.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

simplify1.1s

Counts
140 → 140

prune674.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
0.4b
(* (/ (sqrt 1/2) (sqrt 1)) (/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0))))
0.5b
(/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0)))
31.4b
(log (+ (* re re) (* im im)))

rewrite302.0ms

Algorithm
rewrite-expression-head
Rules
104×sqrt-prod
102×times-frac
99×add-sqr-sqrt
86×associate-*l*
69×*-un-lft-identity
67×add-cube-cbrt
51×add-exp-log
50×add-cbrt-cube
19×pow1
17×cbrt-undiv div-exp
16×prod-exp cbrt-unprod
15×associate-*r*
12×unswap-sqr
11×log-pow
9×log-prod
7×associate-/r*
4×div-inv add-log-exp
3×distribute-rgt-in distribute-lft-in associate-*l/
2×log-div pow-prod-down *-commutative
1×frac-times frac-2neg flip3-+ associate-*r/ rem-log-exp clear-num flip-+ associate-/l/ associate-/l*
Counts
4 → 207
Calls
4 calls:
81.0ms
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
109.0ms
(* (/ (sqrt 1/2) (sqrt 1)) (/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0))))
74.0ms
(/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0)))
14.0ms
(log (+ (* re re) (* im im)))

series916.0ms

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
261.0ms
(* (/ (sqrt 1/2) (sqrt 1)) (/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0))))
228.0ms
(/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0)))
81.0ms
(log (+ (* re re) (* im im)))

simplify1.6s

Counts
219 → 219

prune1.0s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 8.0b

regimes866.0ms

Accuracy

59.9% (10.0b remaining)

Error of 17.2b against oracle of 7.3b and baseline of 32.1b

bsearch188.0ms

Steps
ItersRangePoint
10
1.0540223684506411e+130
9.700072250313438e+141
7.589712011031018e+130
10
-2.230909400099993e+156
-4.616428544046371e+146
-5.682619343593359e+146

simplify1.4s

end0.0ms

sample1.2s

Algorithm
intervals
Results
859.0ms8000×body80valid