sintan (problem 3.4.5)

Time bar (total: 13.0s)

analyze332.0ms (2.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.9%50.1%0%0%0%0
0%0%49.9%50.1%0%0%0%1
0%0%49.9%50.1%0%0%0%2
0%0%49.9%50.1%0%0%0%3
0%0%49.9%50.1%0%0%0%4
0%0%49.9%50.1%0%0%0%5
0%0%49.9%50.1%0%0%0%6
0%0%49.9%50.1%0%0%0%7
0%0%49.9%50.1%0%0%0%8
0%0%49.9%50.1%0%0%0%9
0%0%49.9%50.1%0%0%0%10
0%0%49.9%50.1%0%0%0%11
0%0%49.9%50.1%0%0%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample10.7s (82.2%)

Results
0.0ms1024valid
0.0ms512valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
1.0ms2048valid
4.0ms2048valid
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0.0ms1024valid
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3.0ms2048valid
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1.0ms2048valid
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13.0ms2048valid
1.0ms2048valid
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1.0ms2048valid
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0.0ms1024valid
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1.0ms2048valid
3.0ms1024valid
0.0ms256valid
1.0ms1024valid
1.0ms2048valid
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0.0ms512valid
1.0ms4096valid
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0.0ms1024valid
0.0ms2048valid
0.0ms512valid
1.0ms4096valid
0.0ms512valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
3.0ms1024valid
0.0ms1024valid
0.0ms512valid
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0.0ms256valid
7.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
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1.0ms2048valid
0.0ms256valid
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0.0ms1024valid
1.0ms2048valid
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1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
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1.0ms4096valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
1.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
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0.0ms256valid
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3.0ms2048valid
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0.0ms1024valid
1.0ms2048valid
1.0ms1024valid
1.0ms2048valid
0.0ms256valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms2048valid
1.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
2.0ms1024valid
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2.0ms2048valid
7.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
1.0ms2048valid
7.0ms2048valid
1.0ms4096valid
6.0ms2048valid
1.0ms2048valid
1.0ms2048valid
2.0ms1024valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms4096valid
1.0ms1024valid
7.0ms2048valid
0.0ms2048valid
1.0ms2048valid
1.0ms512valid
2.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
0.0ms512valid
4.0ms2048valid
1.0ms4096valid
0.0ms2048valid
2.0ms2048valid
0.0ms256valid
5.0ms2048valid
0.0ms2048valid
4.0ms2048valid
14.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms256valid
0.0ms2048valid
0.0ms2048valid
4.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
1.0ms2048valid
0.0ms256valid
1.0ms1024valid
5.0ms2048valid
1.0ms2048valid
1.0ms2048valid
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1.0ms2048valid
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1.0ms2048valid
1.0ms2048valid
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2.0ms1024valid
0.0ms1024valid
1.0ms2048valid
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5.0ms2048valid
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1.0ms2048valid
0.0ms256valid
4.0ms2048valid
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2.0ms2048valid
11.0ms2048valid
6.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
2.0ms2048valid
0.0ms512valid
0.0ms1024valid
7.0ms2048valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
15.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
1.0ms1024valid
1.0ms4096valid
1.0ms1024valid
1.0ms1024valid
1.0ms2048valid
8.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
5.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
4.0ms2048valid
1.0ms2048valid
0.0ms256valid
6.0ms2048valid
0.0ms1024valid
0.0ms512valid
4.0ms2048valid
1.0ms2048valid
1.0ms1024valid
4.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
2.0ms1024valid
2.0ms1024valid
6.0ms2048valid
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2.0ms1024valid
0.0ms1024valid
0.0ms256valid
4.0ms2048valid
0.0ms256valid
1.0ms2048valid
5.0ms1024valid
1.0ms2048valid
1.0ms2048valid
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1.0ms2048valid
2.0ms2048valid
0.0ms1024valid
4.0ms2048valid
1.0ms1024valid
1.0ms2048valid
0.0ms512valid
7.0ms2048valid
1.0ms4096valid
2.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
4.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
4.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
4.0ms2048valid
1.0ms2048valid
0.0ms1024valid
2.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
7.0ms2048valid
1.0ms2048valid
3.0ms2048valid
0.0ms512valid
0.0ms2048valid
7.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
14.0ms2048valid
7.0ms2048valid
1.0ms2048valid
1.0ms2048valid
2.0ms2048valid
0.0ms512valid
13.0ms2048valid
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1.0ms2048valid
0.0ms512valid
0.0ms1024valid
2.0ms1024valid
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2.0ms2048valid
0.0ms256valid
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0.0ms1024valid
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0.0ms1024valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
1.0ms4096valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
5.0ms2048valid
2.0ms1024valid
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0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
7.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
1.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
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2.0ms2048valid
1.0ms2048valid
1.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms256valid
6.0ms2048valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
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1.0ms2048valid
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4.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms4096valid
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0.0ms512valid
0.0ms1024valid
0.0ms2048valid
1.0ms2048valid
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0.0ms512valid
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0.0ms512valid
4.0ms2048valid
6.0ms2048valid
1.0ms1024valid
1.0ms2048valid
1.0ms2048valid
2.0ms1024valid
1.0ms2048valid
0.0ms256valid
4.0ms2048valid
0.0ms256valid
11.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
6.0ms2048valid
0.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
60.0ms2048valid
1.0ms2048valid
4.0ms2048valid
5.0ms2048valid
0.0ms2048valid
1.0ms4096valid
3.0ms2048valid
0.0ms1024valid
2.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
1.0ms4096valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
1.0ms1024valid
0.0ms2048valid
0.0ms2048valid
1.0ms4096valid
1.0ms2048valid
6.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
0.0ms512valid
0.0ms256valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
12.0ms2048valid
0.0ms1024valid
0.0ms1024valid
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1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
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0.0ms2048valid
1.0ms2048valid
7.0ms2048valid
0.0ms512valid
3.0ms2048valid
0.0ms256valid
1.0ms2048valid
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0.0ms512valid
6.0ms2048valid
0.0ms1024valid
1.0ms2048valid
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1.0ms1024valid
2.0ms1024valid
0.0ms2048valid
54.0ms2048valid
2.0ms2048valid
0.0ms1024valid
7.0ms2048valid
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1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
5.0ms2048valid
0.0ms512valid
1.0ms4096valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
1.0ms4096valid
0.0ms1024valid
3.0ms2048valid
1.0ms2048valid
4.0ms2048valid
0.0ms1024valid
2.0ms2048valid
3.0ms1024valid
13.0ms2048valid
4.0ms2048valid
0.0ms256valid
5.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
5.0ms2048valid
0.0ms2048valid
1.0ms2048valid
0.0ms1024valid
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0.0ms512valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
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8.0ms2048valid
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0.0ms1024valid
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1.0ms2048valid
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4.0ms2048valid
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0.0ms1024valid
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0.0ms512valid
1.0ms2048valid
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1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
4.0ms2048valid
1.0ms2048valid
0.0ms512valid
0.0ms512valid
2.0ms1024valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
8.0ms2048valid
1.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
1.0ms4096valid
0.0ms256valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
4.0ms2048valid
5.0ms2048valid
12.0ms2048valid
1.0ms2048valid
7.0ms2048valid
0.0ms1024valid
8.0ms2048valid
1.0ms2048valid
7.0ms2048valid
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0.0ms256valid
0.0ms1024valid
0.0ms1024valid
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0.0ms512valid
1.0ms2048valid
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4.0ms2048valid
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0.0ms1024valid
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1.0ms2048valid
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4.0ms2048valid
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1.0ms2048valid
0.0ms1024valid
1.0ms2048valid
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4.0ms2048valid
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1.0ms2048valid
1.0ms2048valid
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1.0ms2048valid
4.0ms2048valid
1.0ms2048valid
2.0ms1024valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
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1.0ms2048valid
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0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
5.0ms2048valid
0.0ms1024valid
1.0ms4096valid
1.0ms2048valid
34.0ms2048valid
1.0ms2048valid
2.0ms2048valid
7.0ms2048valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
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1.0ms1024valid
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0.0ms512valid
2.0ms1024valid
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1.0ms2048valid
4.0ms2048valid
6.0ms2048valid
0.0ms256valid
1.0ms2048valid
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1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
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1.0ms2048valid
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0.0ms1024valid
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0.0ms256valid
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19.0ms2048valid
0.0ms256valid
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1.0ms2048valid
1.0ms2048valid
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0.0ms512valid
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6.0ms2048valid
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1.0ms2048valid
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0.0ms1024valid
0.0ms256valid
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0.0ms1024valid
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1.0ms2048valid
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0.0ms1024valid
1.0ms2048valid
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0.0ms1024valid
4.0ms2048valid
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6.0ms2048valid
1.0ms4096valid
1.0ms2048valid
0.0ms2048valid
0.0ms512valid
1.0ms2048valid
5.0ms2048valid
0.0ms512valid
1.0ms1024valid
1.0ms1024valid
0.0ms1024valid
1.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
4.0ms2048valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms256valid
1.0ms4096valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
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0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
1.0ms2048valid
2.0ms2048valid
1.0ms2048valid
0.0ms512valid
1.0ms1024valid
1.0ms2048valid
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1.0ms2048valid
1.0ms2048valid
7.0ms2048valid
0.0ms256valid
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0.0ms512valid
3.0ms2048valid
1.0ms2048valid
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0.0ms1024valid
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0.0ms512valid
1.0ms2048valid
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7.0ms2048valid
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4.0ms2048valid
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1.0ms2048valid
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0.0ms1024valid
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7.0ms2048valid
0.0ms1024valid
4.0ms2048valid
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0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
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Bogosity

preprocess706.0ms (5.4%)

Algorithm
egg-herbie
Rules
426×fma-define
316×fma-neg
124×times-frac
86×unsub-neg
78×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1720-2(1.3243822475826192e-104)(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
860-0-(-.f64 eps (sin.f64 eps))
860-0-(-.f64 eps (tan.f64 eps))
00-0-(sin.f64 eps)
00-0-eps
00-0-(tan.f64 eps)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018176
142164
294156
3266156
4572156
5888156
61045156
71083156
81144156
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps))))
(neg.f64 (/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps)))))
Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(neg.f64 (/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps)))))
(/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (neg.f64 (-.f64 (neg.f64 eps) (neg.f64 (tan.f64 eps)))))
(/.f64 (fma.f64 -1 eps (sin.f64 eps)) (neg.f64 (fma.f64 -1 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps))
Symmetry

(abs eps)

Compiler

Compiled 58 to 20 computations (65.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
1.8%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize384.0ms (2.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
69.6%
(-.f64 eps (tan.f64 eps))
69.6%
(-.f64 eps (sin.f64 eps))
33.8%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
eps
@inf
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0ms
eps
@-inf
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0ms
eps
@0
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0ms
eps
@inf
(-.f64 eps (tan.f64 eps))
1.0ms
eps
@-inf
(-.f64 eps (tan.f64 eps))

rewrite245.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1008×log1p-expm1-u
1008×expm1-log1p-u
894×log-prod
678×fma-define
356×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01173
115673
2254873
Stop Event
node limit
Counts
3 → 237
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
(-.f64 eps (tan.f64 eps))
Outputs
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 0 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) 1)
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 1 (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(*.f64 1 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (neg.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 eps (tan.f64 eps))) (-.f64 eps (sin.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (-.f64 eps (sin.f64 eps)) (cbrt.f64 (-.f64 eps (tan.f64 eps)))))
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(+.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 0 (-.f64 eps (tan.f64 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))))
(*.f64 (-.f64 eps (tan.f64 eps)) 1)
(*.f64 1 (-.f64 eps (tan.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))))
(/.f64 1 (/.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))))
(/.f64 1 (/.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (tan.f64 eps)) 3)) (fma.f64 eps eps (-.f64 (*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps (neg.f64 (tan.f64 eps))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps)))) (-.f64 eps (neg.f64 (tan.f64 eps))))
(pow.f64 (-.f64 eps (tan.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) 2)
(sqrt.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (tan.f64 eps)))))
(log.f64 (*.f64 (exp.f64 eps) (/.f64 1 (exp.f64 (tan.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (/.f64 1 (exp.f64 (tan.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (neg.f64 (tan.f64 eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 eps))) (exp.f64 eps)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 eps))) (+.f64 1 (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 eps))) (exp.f64 eps)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 eps))) (+.f64 1 (expm1.f64 eps))))
(log.f64 (/.f64 (exp.f64 eps) (+.f64 1 (expm1.f64 (tan.f64 eps)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (tan.f64 eps))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (+.f64 1 (expm1.f64 (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 eps (tan.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 eps))))
(exp.f64 (log.f64 (-.f64 eps (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 eps))) 1))
(fma.f64 eps 1 (neg.f64 (tan.f64 eps)))
(fma.f64 eps 1 (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 1 eps (neg.f64 (tan.f64 eps)))
(fma.f64 1 eps (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 1 (neg.f64 (tan.f64 eps)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (neg.f64 (cbrt.f64 (tan.f64 eps))) eps)
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (tan.f64 eps)))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (neg.f64 (sqrt.f64 (tan.f64 eps))) eps)
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)) eps)
(fma.f64 -1 (tan.f64 eps) eps)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 eps))) (cbrt.f64 (neg.f64 (tan.f64 eps)))) (cbrt.f64 (neg.f64 (tan.f64 eps))) eps)
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 eps))) (sqrt.f64 (neg.f64 (tan.f64 eps))) eps)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) eps)

simplify145.0ms (1.1%)

Algorithm
egg-herbie
Rules
788×fma-neg
614×cancel-sign-sub-inv
592×distribute-lft-neg-in
556×distribute-rgt-neg-in
536×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056110103
112429659
240859448
Stop Event
node limit
Counts
273 → 326
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 eps 4)) (*.f64 9/40 (pow.f64 eps 2))) 1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 eps 4)) (+.f64 (*.f64 27/112000 (pow.f64 eps 6)) (*.f64 9/40 (pow.f64 eps 2)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 eps) eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) eps)) (/.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) eps)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
1
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(*.f64 1/6 (pow.f64 eps 3))
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(+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (+.f64 (*.f64 -1/362880 (pow.f64 eps 9)) (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3)))))
eps
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
eps
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(*.f64 -1/3 (pow.f64 eps 3))
(+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (*.f64 -2/15 (pow.f64 eps 5)))
(+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/15 (pow.f64 eps 5)) (*.f64 -17/315 (pow.f64 eps 7))))
(+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/15 (pow.f64 eps 5)) (+.f64 (*.f64 -17/315 (pow.f64 eps 7)) (*.f64 -62/2835 (pow.f64 eps 9)))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 0 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) 1)
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 1 (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(*.f64 1 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (neg.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 eps (tan.f64 eps))) (-.f64 eps (sin.f64 eps)))
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(+.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 0 (-.f64 eps (tan.f64 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))))
(*.f64 (-.f64 eps (tan.f64 eps)) 1)
(*.f64 1 (-.f64 eps (tan.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))))
(/.f64 1 (/.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))))
(/.f64 1 (/.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))) (neg.f64 (+.f64 eps (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (tan.f64 eps)) 3)) (fma.f64 eps eps (-.f64 (*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps))) (*.f64 eps (neg.f64 (tan.f64 eps))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps)))) (-.f64 eps (neg.f64 (tan.f64 eps))))
(pow.f64 (-.f64 eps (tan.f64 eps)) 1)
(pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) 2)
(sqrt.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (tan.f64 eps)))))
(log.f64 (*.f64 (exp.f64 eps) (/.f64 1 (exp.f64 (tan.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (/.f64 1 (exp.f64 (tan.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (neg.f64 (tan.f64 eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 eps))) (exp.f64 eps)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 eps))) (+.f64 1 (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 eps))) (exp.f64 eps)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 eps))) (+.f64 1 (expm1.f64 eps))))
(log.f64 (/.f64 (exp.f64 eps) (+.f64 1 (expm1.f64 (tan.f64 eps)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (tan.f64 eps))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (+.f64 1 (expm1.f64 (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 eps (tan.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 eps))))
(exp.f64 (log.f64 (-.f64 eps (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 eps))) 1))
(fma.f64 eps 1 (neg.f64 (tan.f64 eps)))
(fma.f64 eps 1 (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 eps (tan.f64 eps)) 1 (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 1 eps (neg.f64 (tan.f64 eps)))
(fma.f64 1 eps (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 1 (-.f64 eps (tan.f64 eps)) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 1 (neg.f64 (tan.f64 eps)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (neg.f64 (cbrt.f64 (tan.f64 eps))) eps)
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (tan.f64 eps)))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (neg.f64 (sqrt.f64 (tan.f64 eps))) eps)
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 eps)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)) eps)
(fma.f64 -1 (tan.f64 eps) eps)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 eps))) (cbrt.f64 (neg.f64 (tan.f64 eps)))) (cbrt.f64 (neg.f64 (tan.f64 eps))) eps)
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 eps))) (sqrt.f64 (neg.f64 (tan.f64 eps))) eps)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) eps)
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(fma.f64 9/40 (pow.f64 eps 2) -1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 eps 4)) (*.f64 9/40 (pow.f64 eps 2))) 1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 eps 4)) (fma.f64 9/40 (pow.f64 eps 2) -1/2))
(fma.f64 -27/2800 (pow.f64 eps 4) (fma.f64 9/40 (pow.f64 eps 2) -1/2))
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 eps 4)) (+.f64 (*.f64 27/112000 (pow.f64 eps 6)) (*.f64 9/40 (pow.f64 eps 2)))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 eps 4) (fma.f64 27/112000 (pow.f64 eps 6) (*.f64 9/40 (pow.f64 eps 2)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 eps 4) (fma.f64 9/40 (pow.f64 eps 2) (*.f64 27/112000 (pow.f64 eps 6)))) -1/2)
(+.f64 (fma.f64 9/40 (pow.f64 eps 2) (*.f64 27/112000 (pow.f64 eps 6))) (fma.f64 -27/2800 (pow.f64 eps 4) -1/2))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 eps) eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) eps) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 -1 (cos.f64 eps)))) eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) eps)) (/.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(fma.f64 -1 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) 1)
(-.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 -1 (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 -1 (cos.f64 eps)))) eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) eps)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 3)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (*.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(-.f64 (-.f64 1 (*.f64 (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 -1 (cos.f64 eps)))) (+.f64 (/.f64 (sin.f64 eps) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 -1 (cos.f64 eps)))) eps))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) eps) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 -1 (cos.f64 eps)))) eps))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(fma.f64 -1 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) 1)
(-.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 -1 (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 -1 (cos.f64 eps)))) eps)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))))
(+.f64 1 (-.f64 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 3)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
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eps
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(-.f64 eps (sin.f64 eps))
eps
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eps
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eps
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(pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 3)
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(pow.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 3) 1/3)
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2)
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(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))) -1)
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(-.f64 eps (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(-.f64 eps (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (neg.f64 (sqrt.f64 (tan.f64 eps))) eps)
(-.f64 eps (tan.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (neg.f64 (tan.f64 eps)) 1))
(-.f64 eps (tan.f64 eps))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) 1) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) 1) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) 1) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 eps (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 eps (tan.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 eps (tan.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)) eps)
(-.f64 eps (tan.f64 eps))
(fma.f64 -1 (tan.f64 eps) eps)
(-.f64 eps (tan.f64 eps))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 eps))) (cbrt.f64 (neg.f64 (tan.f64 eps)))) (cbrt.f64 (neg.f64 (tan.f64 eps))) eps)
(-.f64 eps (tan.f64 eps))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 eps))) (sqrt.f64 (neg.f64 (tan.f64 eps))) eps)
(-.f64 eps (tan.f64 eps))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (tan.f64 eps) (neg.f64 (tan.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (*.f64 0 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) 0)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (tan.f64 eps) (neg.f64 (tan.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (*.f64 0 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) 0)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (+.f64 (tan.f64 eps) (neg.f64 (tan.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (*.f64 0 (tan.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) 0)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)) eps)
(-.f64 eps (tan.f64 eps))

eval86.0ms (0.7%)

Compiler

Compiled 6244 to 2003 computations (67.9% saved)

prune49.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3242326
Fresh000
Picked101
Done000
Total3252327
Accuracy
100.0%
Counts
327 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
99.6%
-1/2
Compiler

Compiled 10 to 9 computations (10% saved)

localize37.0ms (0.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 9/40 (pow.f64 eps 2))
Compiler

Compiled 22 to 18 computations (18.2% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 9/40 (pow.f64 eps 2))
1.0ms
eps
@inf
(*.f64 9/40 (pow.f64 eps 2))
1.0ms
eps
@-inf
(*.f64 9/40 (pow.f64 eps 2))

rewrite170.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
840×associate-*r*
740×associate-*l*
492×unpow-prod-down
397×log1p-expm1-u
286×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
16916
271516
3778616
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 eps 2))
Outputs
(+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) -1)
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)) (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) (+.f64 1 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) 1) (+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1))
(pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2))) 3)
(pow.f64 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(fabs.f64 (*.f64 9/40 (pow.f64 eps 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 9/40))) 2))

simplify72.0ms (0.6%)

Algorithm
egg-herbie
Rules
1242×sub-neg
1126×times-frac
650×prod-exp
632×div-sub
484×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089654
1164650
2412637
31732633
44822633
Stop Event
node limit
Counts
25 → 32
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) -1)
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)) (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) (+.f64 1 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) 1) (+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1))
(pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2))) 3)
(pow.f64 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(fabs.f64 (*.f64 9/40 (pow.f64 eps 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 9/40))) 2))
Outputs
(+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) -1)
(*.f64 9/40 (pow.f64 eps 2))
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(*.f64 9/40 (pow.f64 eps 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (pow.f64 eps 2)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)) (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)))
(*.f64 2 (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1)
(*.f64 9/40 (pow.f64 eps 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) (+.f64 1 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) 3) -1) (fma.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) (fma.f64 9/40 (pow.f64 eps 2) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) 3)) (fma.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) (fma.f64 9/40 (pow.f64 eps 2) 1) (fma.f64 9/40 (pow.f64 eps 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) 3)) (+.f64 1 (*.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) (fma.f64 9/40 (pow.f64 eps 2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) 3)) (fma.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) (fma.f64 9/40 (pow.f64 eps 2) 2) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) 1) (+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1))
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2))) 3)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(*.f64 9/40 (pow.f64 eps 2))
(fabs.f64 (*.f64 9/40 (pow.f64 eps 2)))
(*.f64 9/40 (pow.f64 eps 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(*.f64 9/40 (pow.f64 eps 2))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(*.f64 9/40 (pow.f64 eps 2))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2)))) 3))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 9/40))) 2))
(*.f64 9/40 (pow.f64 eps 2))

eval14.0ms (0.1%)

Compiler

Compiled 479 to 422 computations (11.9% saved)

prune5.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh000
Picked022
Done000
Total32234
Accuracy
100.0%
Counts
34 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
99.6%
-1/2
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes7.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Outputs
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
Calls

2 calls:

4.0ms
eps
2.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
100.0%1eps
100.0%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1/2
Outputs
-1/2
Calls

1 calls:

2.0ms
eps
Results
AccuracySegmentsBranch
99.6%1eps
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
sub-neg
*-commutative
+-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
11623
22123
32323
42423
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
-1/2
Outputs
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
-1/2
Compiler

Compiled 10 to 9 computations (10% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess49.0ms (0.4%)

Remove

(abs eps)

Compiler

Compiled 162 to 114 computations (29.6% saved)

Profiling

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