Details

Time bar (total: 3.8s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
74.9%25%0.1%3
87.4%12.5%0.1%4
93.7%6.2%0.1%5
96.8%3.1%0.1%6
98.3%1.6%0.1%7
99.1%0.8%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01112
11112

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.4b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.8b
(sqrt (+ (* re re) (* im im)))

rewrite11.0ms

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:
6.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
3.0ms
(sqrt (+ (* re re) (* im im)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify62.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049071035
149071035

prune142.0ms

Filtered
46 candidates to 69 candidates (-50.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New561369
Fresh000
Picked101
Done000
Total571370

Merged error: 6.7b

Counts
70 → 13

localize12.0ms

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))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
31.1b
(log (+ (* re re) (* im im)))

rewrite40.0ms

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:
23.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
6.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
3.0ms
(log (+ (* re re) (* im im)))

series51.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
22.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
9.0ms
(log (+ (* re re) (* im im)))

simplify92.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049432798
149432798

prune291.0ms

Filtered
94 candidates to 162 candidates (-72.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1539162
Fresh9312
Picked101
Done000
Total16312175

Merged error: 6.6b

Counts
175 → 12

localize19.0ms

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))))))
15.6b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
16.8b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

rewrite26.0ms

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:
11.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
6.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
4.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

series110.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
36.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
32.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049382103
149382103

prune263.0ms

Filtered
77 candidates to 126 candidates (-63.6%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1233126
Fresh01111
Picked011
Done000
Total12315138

Merged error: 6.6b

Counts
138 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (sqrt (/ 1/2 (sqrt (log 10.0))))))
0.4b
(* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (sqrt (/ 1/2 (sqrt (log 10.0)))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
31.1b
(log (+ (* re re) (* im im)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod
112×times-frac
107×add-sqr-sqrt
69×add-cube-cbrt *-un-lft-identity
60×associate-*l*
42×pow1
31×log-pow
29×associate-*r*
21×add-exp-log
20×add-cbrt-cube
12×unswap-sqr
10×sqrt-div
7×prod-exp associate-/r* cbrt-unprod
6×frac-times associate-*r/
4×log-div pow-prod-down associate-*l/ div-inv associate-/l* add-log-exp
3×cbrt-undiv log-prod div-exp
2×flip3-+ div-sub *-commutative flip-+
1×frac-2neg rem-log-exp clear-num
Counts
4 → 207
Calls
4 calls:
18.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (sqrt (/ 1/2 (sqrt (log 10.0))))))
25.0ms
(* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (sqrt (/ 1/2 (sqrt (log 10.0)))))
7.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
3.0ms
(log (+ (* re re) (* im im)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (sqrt (/ 1/2 (sqrt (log 10.0))))))
47.0ms
(* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (sqrt (/ 1/2 (sqrt (log 10.0)))))
21.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
9.0ms
(log (+ (* re re) (* im im)))

simplify78.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049504416
149504416

prune522.0ms

Filtered
135 candidates to 219 candidates (-62.2%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New2163219
Fresh11213
Picked011
Done011
Total21717234

Merged error: 6.5b

Counts
234 → 17

regimes1.0s

Accuracy

56.7% (10.8b remaining)

Error of 17.8b against oracle of 7.0b and baseline of 32.1b

bsearch112.0ms

Steps
ItersRangePoint
8
2.7700478362449346e+132
2.5786451175708917e+135
3.931008536470083e+133
10
-9.219635879229935e-301
1.2793199363241404e-304
3.2996862364182183e-306
5
-1.1751962421991628e-153
-5.380047950806279e-154
-5.434411537566742e-154
6
-1201370824015646.5
-103487253741658.17
-1169736649081899.8

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061113
161113

end0.0ms

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
74.9%25%0.1%3
87.4%12.5%0.1%4
93.7%6.2%0.1%5
96.8%3.1%0.1%6
98.3%1.6%0.1%7
99.1%0.8%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample598.0ms

Algorithm
intervals
Results
467.0ms8000×body80valid

Profiling

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