Details

Time bar (total: 5.9s)

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize11.0ms

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))
29.1b
(sqrt (+ (* re re) (* im im)))

rewrite19.0ms

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:
3.0ms
(+ (* re re) (* im im))
11.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series200.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (* re re) (* im im))
130.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
38.0ms
(sqrt (+ (* re re) (* im im)))

simplify88.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune238.0ms

Filtered
83 candidates to 55 candidates (66.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 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)))
29.1b
(sqrt (+ (* re re) (* im im)))

rewrite70.0ms

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:
3.0ms
(+ (* re re) (* im im))
43.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
12.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
4.0ms
(sqrt (+ (* re re) (* im im)))

series423.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* re re) (* im im))
145.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
211.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
40.0ms
(sqrt (+ (* re re) (* im im)))

simplify79.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06482798
128782493
250022395

prune466.0ms

Filtered
217 candidates to 111 candidates (51.2%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
3.8b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
29.1b
(sqrt (+ (* re re) (* im im)))

rewrite45.0ms

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:
3.0ms
(+ (* re re) (* im im))
24.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
7.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
4.0ms
(sqrt (+ (* re re) (* im im)))

series782.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* re re) (* im im))
365.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
347.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
36.0ms
(sqrt (+ (* re re) (* im im)))

simplify68.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05932050
127441681
250011554

prune413.0ms

Filtered
153 candidates to 92 candidates (60.1%)
Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 7.3b

localize31.0ms

Local error

Found 4 expressions with local error:

3.8b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
3.8b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
29.1b
(sqrt (+ (* re re) (* im im)))
29.1b
(sqrt (+ (* re re) (* im im)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
50×pow-unpow
42×times-frac
40×add-sqr-sqrt
38×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
16×pow1
12×unpow-prod-down
6×add-exp-log pow-pow log-pow
4×sqrt-pow1 pow1/2 sqrt-div add-cbrt-cube add-log-exp
2×pow-to-exp rem-sqrt-square flip3-+ pow-exp sqrt-pow2 flip-+ div-inv sqr-pow
Counts
4 → 120
Calls
4 calls:
7.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
7.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
3.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(sqrt (+ (* re re) (* im im)))

series902.0ms

Counts
4 → 12
Calls
4 calls:
476.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
348.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
41.0ms
(sqrt (+ (* re re) (* im im)))
36.0ms
(sqrt (+ (* re re) (* im im)))

simplify75.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
03051184
110011106
233381032
350011028

prune526.0ms

Filtered
132 candidates to 86 candidates (65.2%)
Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 7.3b

regimes693.0ms

Accuracy

56.4% (10.6b remaining)

Error of 18.1b against oracle of 7.5b and baseline of 31.8b

bsearch181.0ms

Steps
ItersRangePoint
8
3.94458661202886e+76
7.40588563336158e+79
2.4617813008158136e+77
9
5.5059147662259375e-244
5.974539073543223e-237
3.7706602894998885e-238
10
-2.814110741638344e-161
-4.8558578291934565e-179
-1.6609468659322656e-174
10
-8.808391115659064e+92
-2.735164425639393e+81
-2.5154987231457308e+88

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05257
16157
26457
36657
46657

end0.0ms

sample481.0ms

Algorithm
intervals
Results
342.0ms8000×body80valid