Details

Time bar (total: 4.0s)

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

sample23.0ms

Algorithm
intervals
Results
15.0ms256×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: 29.7b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
27.3b
(sqrt (+ (* re re) (* im im)))

rewrite12.0ms

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)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify63.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049071035
149071035

prune144.0ms

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: 6.2b

Counts
70 → 13

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 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)))
28.4b
(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))))
7.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
4.0ms
(log (+ (* re re) (* im im)))

series52.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* (/ 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)))

simplify91.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049432798
149432798

prune287.0ms

Filtered
92 candidates to 162 candidates (-76.1%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1548162
Fresh7512
Picked101
Done000
Total16213175

Merged error: 6.1b

Counts
175 → 13

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
12.9b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
16.6b
(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))))))
4.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
7.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
36.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
36.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify77.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049382103
149382103

prune332.0ms

Filtered
78 candidates to 126 candidates (-61.5%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1233126
Fresh01212
Picked011
Done000
Total12316139

Merged error: 6.1b

Counts
139 → 16

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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)))
28.4b
(log (+ (* re re) (* im im)))

rewrite64.0ms

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))))))
26.0ms
(* (/ (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)))
4.0ms
(log (+ (* re re) (* im im)))

series108.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (sqrt (/ 1/2 (sqrt (log 10.0))))))
49.0ms
(* (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))) (sqrt (/ 1/2 (sqrt (log 10.0)))))
22.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
9.0ms
(log (+ (* re re) (* im im)))

simplify82.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049504416
149504416

prune516.0ms

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

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2145219
Fresh31114
Picked101
Done011
Total21817235

Merged error: 6.0b

Counts
235 → 17

regimes1.2s

Accuracy

59% (9.9b remaining)

Error of 17.1b against oracle of 7.2b and baseline of 31.4b

bsearch73.0ms

Steps
ItersRangePoint
9
1.173417142894247e+122
1.3177018928525799e+127
2.9135650880734893e+125
9
-2.7551291459675566e+141
-3.310363910117917e+135
-3.366208022369999e+135

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04666
14666

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

sample664.0ms

Algorithm
intervals
Results
519.0ms8000×body80valid

Profiling

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