Details

Time bar (total: 9.3s)

sample42.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize24.0ms

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

rewrite102.0ms

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:
15.0ms
(+ (* re re) (* im im))
67.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
15.0ms
(sqrt (+ (* re re) (* im im)))

series287.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* re re) (* im im))
199.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
56.0ms
(sqrt (+ (* re re) (* im im)))

simplify47.0ms

Counts
83 → 83

prune483.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
0.5b
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
28.5b
(sqrt (+ (* re re) (* im im)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
108×add-sqr-sqrt
78×sqrt-prod
67×*-un-lft-identity
61×add-cube-cbrt log-pow
53×pow1
46×associate-*r*
28×add-exp-log
25×associate-*l*
18×add-cbrt-cube
16×sqrt-pow1 pow1/2
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv
4×sqrt-div cbrt-unprod
3×flip3-+ flip-+ div-inv
2×log-div rec-exp 1-exp div-sub
1×+-commutative frac-times rem-sqrt-square frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 205
Calls
4 calls:
9.0ms
(+ (* re re) (* im im))
97.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
57.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
17.0ms
(sqrt (+ (* re re) (* im im)))

series645.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* re re) (* im im))
207.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
346.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
57.0ms
(sqrt (+ (* re re) (* im im)))

simplify71.0ms

Counts
217 → 217

prune831.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
3.9b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
28.5b
(sqrt (+ (* re re) (* im im)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
38×sqrt-prod
25×pow-unpow associate-*l*
20×log-prod
18×unpow-prod-down
15×pow1
14×add-exp-log
10×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube
7×log-pow
6×add-log-exp
5×unswap-sqr
4×associate-*r* prod-exp
3×pow-pow sqr-pow
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div div-exp cbrt-unprod flip-+ div-inv
1×cbrt-undiv +-commutative pow-to-exp rem-sqrt-square rec-exp 1-exp pow-prod-down associate-*l/ pow-exp sum-log *-commutative sqrt-pow2
Counts
4 → 141
Calls
4 calls:
18.0ms
(+ (* re re) (* im im))
94.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
15.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
12.0ms
(sqrt (+ (* re re) (* im im)))

series1.3s

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (* re re) (* im im))
625.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
550.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
74.0ms
(sqrt (+ (* re re) (* im im)))

simplify56.0ms

Counts
153 → 153

prune677.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
3.9b
(pow (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) (/ 1 (sqrt (log 10.0))))
29.5b
(cbrt (+ (* re re) (* im im)))
29.5b
(cbrt (+ (* re re) (* im im)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
25×pow-unpow
24×add-cube-cbrt *-un-lft-identity
21×times-frac
20×sqrt-prod
12×pow1
10×cbrt-prod
9×add-exp-log associate-*r*
6×cbrt-div add-cbrt-cube
4×add-log-exp
3×flip3-+ associate-*l* log-pow flip-+ unswap-sqr
2×pow-pow pow1/3 sqrt-div associate-*r/ pow-prod-down pow-exp prod-exp
1×pow-to-exp unpow-prod-down *-commutative cbrt-unprod div-inv sqr-pow
Counts
4 → 93
Calls
4 calls:
38.0ms
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
41.0ms
(pow (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) (/ 1 (sqrt (log 10.0))))
12.0ms
(cbrt (+ (* re re) (* im im)))
11.0ms
(cbrt (+ (* re re) (* im im)))

series1.1s

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
664.0ms
(pow (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) (/ 1 (sqrt (log 10.0))))
149.0ms
(cbrt (+ (* re re) (* im im)))
134.0ms
(cbrt (+ (* re re) (* im im)))

simplify142.0ms

Counts
105 → 105

prune668.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 7.0b

regimes958.0ms

Accuracy

59% (10.2b remaining)

Error of 17.5b against oracle of 7.4b and baseline of 32.2b

bsearch154.0ms

Steps
ItersRangePoint
10
1.2073698495971617e+61
3.217811591970086e+74
2.7153468834491098e+73
5
-1.7457635943519997e+137
-5.665103565004941e+136
-9.983262521343274e+136

simplify98.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
730.0ms8000×body80valid