Details

Time bar (total: 6.1s)

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
27.1b
(sqrt (+ (* re re) (* im im)))

rewrite40.0ms

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:
30.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
8.0ms
(sqrt (+ (* re re) (* im im)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
33.0ms
(sqrt (+ (* re re) (* im im)))

simplify124.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (117.0ms)

IterNodesCost
0221664
1556631
21309628
34047628
45001627

prune323.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
0.6b
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
27.1b
(sqrt (+ (* re re) (* im im)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
94×log-pow
90×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
78×pow1
34×associate-/r*
22×sqrt-pow1 pow1/2
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×sqrt-prod add-log-exp
2×rec-exp frac-2neg sqrt-div 1-exp clear-num
1×rem-sqrt-square pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
3 → 197
Calls
3 calls:
14.0ms
(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
8.0ms
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
8.0ms
(sqrt (+ (* re re) (* im im)))

series421.0ms

Counts
3 → 9
Calls
3 calls:
264.0ms
(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
125.0ms
(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
32.0ms
(sqrt (+ (* re re) (* im im)))

simplify56.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05122431
118902231
250022049

prune491.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 6.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ 1/2 (sqrt (log 10.0))) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
0.4b
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
28.1b
(log (+ (* re re) (* im im)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
2249×times-frac
900×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
832×sqrt-prod
402×pow1
399×log-pow
61×div-inv
36×associate-/r*
32×associate-/l*
18×add-exp-log
17×add-cbrt-cube
9×cbrt-undiv div-exp
3×log-prod add-log-exp
2×log-div frac-2neg clear-num
1×flip3-+ rem-log-exp associate-/r/ flip-+ associate-/l/
Counts
3 → 942
Calls
3 calls:
37.0ms
(/ (/ 1/2 (sqrt (log 10.0))) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
8.0ms
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
10.0ms
(log (+ (* re re) (* im im)))

series343.0ms

Counts
3 → 9
Calls
3 calls:
137.0ms
(/ (/ 1/2 (sqrt (log 10.0))) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
162.0ms
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
44.0ms
(log (+ (* re re) (* im im)))

simplify208.0ms

Algorithm
egg-herbie
Counts
951 → 951
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0238421814
1500220583

prune2.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.4b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (log 10.0))
1.0b
(sqrt (cbrt (log 10.0)))
1.0b
(/ (* (cbrt 1/2) (cbrt 1/2)) (* (sqrt (log 10.0)) (fabs (cbrt (log 10.0)))))
28.1b
(log (+ (* re re) (* im im)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×add-cbrt-cube
10×add-sqr-sqrt
9×cbrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity
7×sqrt-prod
4×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×log-prod log-pow
2×rem-sqrt-square log-div sqrt-pow1 pow1/3
1×frac-2neg flip3-+ times-frac pow1/2 rem-log-exp clear-num associate-/r* flip-+ div-inv associate-/l*
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt (log 10.0))
2.0ms
(sqrt (cbrt (log 10.0)))
16.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (* (sqrt (log 10.0)) (fabs (cbrt (log 10.0)))))
10.0ms
(log (+ (* re re) (* im im)))

series44.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt (log 10.0))
0.0ms
(sqrt (cbrt (log 10.0)))
0.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (* (sqrt (log 10.0)) (fabs (cbrt (log 10.0)))))
44.0ms
(log (+ (* re re) (* im im)))

simplify33.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0296619
11030523
25002500

prune336.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.3b

regimes518.0ms

Accuracy

58.9% (10.0b remaining)

Error of 17.3b against oracle of 7.4b and baseline of 31.6b

bsearch64.0ms

Steps
ItersRangePoint
6
1.2322466571152192e+70
8.265750897322139e+70
8.148782390504187e+70
5
-1.6975069546273848e+67
-4.513417988214574e+66
-6.0299030034821244e+66

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06048
17048
27648
37848
48048
58048

end0.0ms

sample519.0ms

Algorithm
intervals
Results
378.0ms8000×body80valid