Details

Time bar (total: 12.0s)

analyze438.0ms (3.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
15.6%15.6%84.2%0.2%0%0%0%6
23.4%23.4%76.4%0.2%0%0%0%7
26.6%26.5%73.3%0.2%0%0%0%8
35.5%35.5%64.3%0.2%0%0%0%9
40.6%40.5%59.3%0.2%0%0%0%10
46.4%46.3%53.5%0.2%0%0%0%11
46.9%46.8%53%0.2%0%0%0%12
Compiler

Compiled 42 to 20 computations (52.4% saved)

sample4.6s (38.5%)

Results
1.8s7890×body256valid
1.7s2589×body1024infinite
383.0ms841×body256infinite
377.0ms895×body512infinite
183.0ms172×body2048infinite
132.0ms201×body1024valid
67.0ms150×body512valid
14.0ms15×body2048valid
Bogosity

preprocess49.0ms (0.4%)

Algorithm
egg-herbie
Rules
1164×rational.json-simplify-31
606×rational.json-simplify-2
266×rational.json-simplify-27
210×rational.json-simplify-41
202×rational.json-simplify-9
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094805
1169805
2211805
3279805
4394805
5532805
6722805
7920805
81143805
91184805
101184805
111428805
121469805
131469805
141608805
044
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) y.re) (*.f64 (atan2.f64 x.re x.im) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) y.im) (*.f64 (atan2.f64 x.re x.im) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im y.re) x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.im y.im) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im y.im) x.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.im y.im) (*.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.im) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.re y.re)))) x.im) (*.f64 (atan2.f64 y.re x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.re y.re)))) y.im) (*.f64 (atan2.f64 y.re x.re) x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))) y.re) (*.f64 (atan2.f64 y.im x.re) x.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))) x.im) (*.f64 (atan2.f64 y.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) y.re) (*.f64 (atan2.f64 x.re x.im) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) y.im) (*.f64 (atan2.f64 x.re x.im) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 y.im (atan2.f64 x.re x.im)))) (sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 y.re (atan2.f64 x.re x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im y.re) x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 x.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 y.re y.re))))) (*.f64 y.im (atan2.f64 x.im y.re)))) (sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 y.re y.re))))) (*.f64 x.re (atan2.f64 x.im y.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.im y.im) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im y.im) x.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.im y.im) (*.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.im) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 y.im y.im))))) (*.f64 x.re (atan2.f64 x.im y.im)))) (sin.f64 (+.f64 (*.f64 x.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 y.im y.im))))) (*.f64 y.re (atan2.f64 x.im y.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.re y.re)))) x.im) (*.f64 (atan2.f64 y.re x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.re y.re)))) y.im) (*.f64 (atan2.f64 y.re x.re) x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 x.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.re y.re))))) (*.f64 y.im (atan2.f64 y.re x.re)))) (sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.re y.re))))) (*.f64 x.im (atan2.f64 y.re x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))) y.re) (*.f64 (atan2.f64 y.im x.re) x.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))) x.im) (*.f64 (atan2.f64 y.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im))))) (*.f64 x.im (atan2.f64 y.im x.re)))) (sin.f64 (+.f64 (*.f64 x.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im))))) (*.f64 y.re (atan2.f64 y.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (+.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))))
Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
192×rational.json-simplify-31
110×rational.json-simplify-2
38×rational.json-simplify-27
30×rational.json-simplify-9
30×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022115
133115
240115
350115
469115
592115
6125115
7158115
8195115
9250115
10273115
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))

eval1.0ms (0%)

Compiler

Compiled 78 to 23 computations (70.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
30.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
30.1b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Compiler

Compiled 41 to 19 computations (53.7% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(*.f64 (atan2.f64 x.im x.re) y.re)
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
26.8b
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
34.9b
(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
Compiler

Compiled 180 to 19 computations (89.4% saved)

series23.0ms (0.2%)

Counts
4 → 120
Calls

36 calls:

TimeVariablePointExpression
3.0ms
x.im
@0
(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms
x.re
@inf
(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms
x.re
@0
(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms
x.im
@0
(*.f64 (atan2.f64 x.im x.re) y.re)
2.0ms
x.im
@inf
(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite7.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
46×rational.json-simplify-2
44×rational.json-simplify-1
44×bool.json-1
40×rational.json-1
40×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018104
181104
2129104
3133104
Stop Event
saturated
Counts
4 → 12
Calls
Call 1
Inputs
(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.re))))))

simplify317.0ms (2.6%)

Algorithm
egg-herbie
Rules
3836×rational.json-simplify-33
3008×rational.json-simplify-1
624×rational.json-simplify-2
254×rational.json-simplify-31
rational.json-simplify-19
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03529752
17109752
211539648
319749648
420259648
520269648
620269648
731199648
831199648
936119648
1036119648
1144979648
1245779648
1345779648
1445819648
Stop Event
saturated
Counts
132 → 207
Calls
Call 1
Inputs
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (*.f64 (pow.f64 x.re 4) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (*.f64 -1/4 (/.f64 (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
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(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(*.f64 -1 x.re)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 -1 x.re))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (*.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (*.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(*.f64 -1 x.im)
(+.f64 (*.f64 -1 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (*.f64 -1 x.im) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (*.f64 -1 x.im) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 1)
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))
Outputs
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (*.f64 1/2 (/.f64 (*.f64 y.im (*.f64 (pow.f64 x.re 2) (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))))
(+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (*.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (*.f64 (pow.f64 x.re 4) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (*.f64 -1/4 (/.f64 (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.im (*.f64 (pow.f64 x.re 2) (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (*.f64 (pow.f64 x.re 4) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (*.f64 -1/4 (/.f64 (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
(+.f64 (+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (*.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2)))) (*.f64 (pow.f64 x.re 4) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (*.f64 -1/4 (/.f64 (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (+.f64 (*.f64 (pow.f64 x.re 6) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (*.f64 (+.f64 (*.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (*.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))))) (*.f64 (pow.f64 x.re 4) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (*.f64 -1/4 (/.f64 (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.im (*.f64 (pow.f64 x.re 2) (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (+.f64 (*.f64 (pow.f64 x.re 4) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (*.f64 -1/4 (/.f64 (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))) (*.f64 (pow.f64 x.re 6) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 6))) (*.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (+.f64 (*.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (*.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))))))
(+.f64 (+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (*.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2)))) (+.f64 (*.f64 (pow.f64 x.re 4) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (*.f64 -1/4 (/.f64 (*.f64 y.im (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))) (*.f64 (pow.f64 x.re 6) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 6))) (*.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (+.f64 (*.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (*.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))))))))
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(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
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(+.f64 (*.f64 y.im (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (*.f64 (pow.f64 y.im 3) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 3)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (*.f64 (pow.f64 y.im 2) (*.f64 -1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))
(+.f64 (+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 1 (*.f64 (pow.f64 y.re 2) (*.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 1 (*.f64 (pow.f64 y.re 2) (*.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))) (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (pow.f64 (atan2.f64 x.im x.re) 3))))))
(+.f64 (+.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))))))
(+.f64 (+.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 1 (*.f64 (pow.f64 y.re 2) (*.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2)))))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))))
(+.f64 (+.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 1 (*.f64 (pow.f64 y.re 2) (*.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2)))))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (pow.f64 y.re 3) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)))))
(+.f64 (+.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (+.f64 1 (*.f64 (pow.f64 y.re 2) (*.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2)))))) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))) (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 x.im (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 x.im (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(+.f64 (+.f64 x.im (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)))))
(+.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)))))
(+.f64 x.im (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))) (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 x.re (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 x.re (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)))) (+.f64 x.re (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 x.re (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(+.f64 x.re (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(*.f64 -1 x.re)
(*.f64 x.re -1)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 -1 x.re))
(+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (*.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (*.f64 x.re -1) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re))) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (*.f64 x.re -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (*.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re))) (+.f64 (*.f64 x.re -1) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16) (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16) (*.f64 x.re -1)) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 (*.f64 x.re -1) (*.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (+.f64 (*.f64 x.re -1) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))) (*.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16)))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))) (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 x.re (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 x.re (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)))) (+.f64 x.re (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 x.re (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(+.f64 x.re (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 x.im (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 x.im (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(+.f64 (+.f64 x.im (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)))))
(+.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)))))
(+.f64 x.im (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))))
(*.f64 -1 x.im)
(*.f64 x.im -1)
(+.f64 (*.f64 -1 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (*.f64 -1 x.im) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (*.f64 x.im -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (+.f64 (*.f64 x.im -1) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))) (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))
(+.f64 (*.f64 -1 x.im) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(+.f64 (+.f64 (*.f64 x.im -1) (*.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (*.f64 x.im -1) (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))) (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))))
(+.f64 (+.f64 (*.f64 x.im -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16))) (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 (*.f64 x.im -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16))))
(+.f64 (*.f64 x.im -1) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16))))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) 0)
(+.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) 0)
(*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 1 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))))
(*.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 1 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 0)
(*.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 1)
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 0)
(+.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 0)
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)

eval277.0ms (2.3%)

Compiler

Compiled 20507 to 9439 computations (54% saved)

prune106.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2545259
Fresh000
Picked101
Done000
Total2555260
Error
15.5b
Counts
260 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
50.4b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
43.4b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
21.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
48.3b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
49.6b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Compiler

Compiled 334 to 198 computations (40.7% saved)

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(*.f64 y.re (atan2.f64 x.im x.re))
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
20.8b
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
26.8b
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
Compiler

Compiled 128 to 17 computations (86.7% saved)

series4.0ms (0%)

Counts
2 → 4
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x.im
@0
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms
x.im
@inf
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms
x.im
@-inf
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms
x.re
@inf
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms
x.re
@-inf
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite6.0ms (0%)

Algorithm
batch-egg-rewrite
Rules
26×bool.json-1
24×rational.json-simplify-2
22×rational.json-1
22×rational.json-2
22×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
14130
27130
37530
Stop Event
saturated
Counts
2 → 6
Calls
Call 1
Inputs
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))))

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
56×rational.json-simplify-1
40×rational.json-simplify-2
30×rational.json-simplify-33
12×rational.json-simplify-31
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041398
164398
290398
3111398
4117398
5118398
Stop Event
saturated
Counts
10 → 13
Calls
Call 1
Inputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) (*.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(+.f64 0 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(*.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 y.re (atan2.f64 x.im x.re)))
Outputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) (*.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))) (*.f64 -1/5040 (*.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))))))
(+.f64 (+.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (*.f64 -1/5040 (*.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7)))) (*.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(+.f64 0 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(*.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(*.f64 (atan2.f64 x.im x.re) y.re)
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
26.8b
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
34.9b
(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
Compiler

Compiled 154 to 20 computations (87% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(*.f64 (atan2.f64 x.im x.re) y.re)
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
26.8b
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
34.9b
(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
Compiler

Compiled 154 to 20 computations (87% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(*.f64 (atan2.f64 x.im x.re) y.re)
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
15.8b
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
26.8b
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
Compiler

Compiled 154 to 20 computations (87% saved)

series318.0ms (2.6%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
281.0ms
x.im
@0
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
15.0ms
x.im
@-inf
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms
x.re
@0
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms
x.im
@inf
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms
x.re
@-inf
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite6.0ms (0%)

Algorithm
batch-egg-rewrite
Rules
34×rational.json-simplify-2
34×bool.json-1
32×rational.json-simplify-1
30×rational.json-1
30×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
15933
29733
310133
Stop Event
saturated
Counts
1 → 4
Calls
Call 1
Inputs
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))

simplify37.0ms (0.3%)

Algorithm
egg-herbie
Rules
248×rational.json-simplify-2
156×rational.json-simplify-31
122×rational.json-simplify-1
66×rational.json-simplify-33
rational.json-simplify-19
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0822304
11532272
22522272
33582244
44262244
54302244
Stop Event
saturated
Counts
52 → 36
Calls
Call 1
Inputs
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2)))) (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.im 3) (*.f64 (pow.f64 (log.f64 x.im) 3) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2)))) (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y.re 2) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (sin.f64 (*.f64 y.im (log.f64 x.im)))))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y.re 2) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (sin.f64 (*.f64 y.im (log.f64 x.im)))))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (*.f64 y.im (log.f64 x.im)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(+.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Outputs
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.im))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.im))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.im))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.im))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 x.im))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2)))) (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2))))))
(+.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 x.im))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2))))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.im 3) (*.f64 (pow.f64 (log.f64 x.im) 3) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2)))) (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (+.f64 (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2))))) (*.f64 -1/6 (*.f64 (pow.f64 y.im 3) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) 3))))))
(+.f64 (+.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 x.im))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2)))))) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3)))))
(+.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 x.im))) (+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2))))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3))))))
(+.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 x.im))) (+.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 x.im) 3) (*.f64 -1/6 (pow.f64 y.im 3)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2)))))))
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y.re 2) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (sin.f64 (*.f64 y.im (log.f64 x.im)))))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))
(+.f64 (+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im)))))) (*.f64 -1/2 (*.f64 (pow.f64 y.re 2) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 -1/2 (pow.f64 y.re 2)))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (+.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 -1/2 (pow.f64 y.re 2)))))
(+.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (+.f64 1 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 -1/2 (pow.f64 y.re 2))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y.re 2) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (sin.f64 (*.f64 y.im (log.f64 x.im)))))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (*.f64 y.im (log.f64 x.im)))))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y.re 2) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (+.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 -1/6 (*.f64 (pow.f64 y.re 3) (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 3)))))))
(+.f64 (+.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 (pow.f64 y.re 3) (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 -1/2 (pow.f64 y.re 2)))))
(+.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (+.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (pow.f64 y.re 3) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 -1/2 (pow.f64 y.re 2))))))
(+.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (+.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (pow.f64 y.re 3) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (+.f64 1 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 -1/2 (pow.f64 y.re 2)))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))
(+.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 0)
(+.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 0)
(*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 1 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(*.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 1 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(*.f64 (atan2.f64 x.im x.re) y.re)
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
26.8b
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
34.9b
(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
Compiler

Compiled 168 to 43 computations (74.4% saved)

eval796.0ms (6.6%)

Compiler

Compiled 56664 to 28984 computations (48.8% saved)

prune223.0ms (1.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New77711788
Fresh000
Picked101
Done404
Total78211793
Error
2.6b
Counts
793 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
38.5b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
50.1b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
40.9b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
38.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
21.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
50.5b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
39.7b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
44.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
51.0b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
42.4b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
44.0b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
Compiler

Compiled 588 to 356 computations (39.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.7b
(*.f64 y.re (atan2.f64 x.im x.re))
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
26.8b
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
Compiler

Compiled 121 to 16 computations (86.8% saved)

series36.0ms (0.3%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
34.0ms
y.re
@0
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms
x.re
@inf
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms
x.re
@0
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms
x.im
@inf
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms
y.re
@inf
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

rewrite5.0ms (0%)

Algorithm
batch-egg-rewrite
Rules
32×bool.json-1
30×rational.json-simplify-2
30×rational.json-simplify-1
28×rational.json-1
28×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
15433
29033
39433
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))))))

simplify33.0ms (0.3%)

Algorithm
egg-herbie
Rules
294×rational.json-simplify-1
186×rational.json-simplify-33
90×rational.json-simplify-2
16×rational.json-simplify-31
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01162322
12092322
22962322
33872322
44352322
54392322
Stop Event
saturated
Counts
38 → 73
Calls
Call 1
Inputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (*.f64 y.re (log.f64 x.im)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))))
(+.f64 (*.f64 y.re (log.f64 x.im)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.re))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.re)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.re))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 30 (pow.f64 x.im 6)) (*.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.re)))))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 30 (pow.f64 x.im 6)) (*.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))))
(*.f64 y.re (log.f64 x.re))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (log.f64 x.re)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 y.re (log.f64 x.re))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (*.f64 y.re (log.f64 x.re)))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 x.re 6)) (*.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 x.re 6)) (*.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(+.f64 0 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))
Outputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))))
(+.f64 (*.f64 y.re (log.f64 x.im)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))))
(+.f64 (*.f64 y.re (log.f64 x.im)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))))
(+.f64 (+.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2)))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))))
(+.f64 (*.f64 y.re (log.f64 x.im)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))))))
(+.f64 (*.f64 y.re (log.f64 x.im)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 1/6 (/.f64 (*.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.re))
(*.f64 (log.f64 (/.f64 1 x.re)) (*.f64 -1 y.re))
(*.f64 (log.f64 (/.f64 1 x.re)) (*.f64 y.re -1))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.re)))
(+.f64 (*.f64 (log.f64 (/.f64 1 x.re)) (*.f64 -1 y.re)) (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (*.f64 (log.f64 (/.f64 1 x.re)) (*.f64 y.re -1)) (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.re))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (*.f64 (log.f64 (/.f64 1 x.re)) (*.f64 -1 y.re)) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (*.f64 (log.f64 (/.f64 1 x.re)) (*.f64 y.re -1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 30 (pow.f64 x.im 6)) (*.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.re)))))
(+.f64 (+.f64 (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.im 6) 30) (*.f64 (pow.f64 x.im 6) 90))) (pow.f64 x.re 6))) (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (+.f64 (*.f64 (log.f64 (/.f64 1 x.re)) (*.f64 -1 y.re)) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 x.re)) (*.f64 y.re -1)) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.im 6) 30) (*.f64 (pow.f64 x.im 6) 90))) (pow.f64 x.re 6)))))
(+.f64 (*.f64 (log.f64 (/.f64 1 x.re)) (*.f64 y.re -1)) (+.f64 (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.im 6) 30) (*.f64 (pow.f64 x.im 6) 90))) (pow.f64 x.re 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 y.re (*.f64 -1 (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 y.re -1))
(+.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 y.re -1)))
(+.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 -1 x.re))))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 y.re -1))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 30 (pow.f64 x.im 6)) (*.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.im 6) 30) (*.f64 (pow.f64 x.im 6) 90))) (pow.f64 x.re 6))) (+.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 -1 x.re))))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.im 6) 30) (*.f64 (pow.f64 x.im 6) 90))) (pow.f64 x.re 6))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 y.re -1)))))
(*.f64 y.re (log.f64 x.re))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (log.f64 x.re)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 y.re (log.f64 x.re))))
(+.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))) (*.f64 y.re (log.f64 x.re)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (log.f64 x.re))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (*.f64 y.re (log.f64 x.re)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (*.f64 y.re (log.f64 x.re)) (*.f64 1/6 (/.f64 (*.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))
(*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 -1 y.re))
(*.f64 y.re (*.f64 -1 (log.f64 (/.f64 1 x.im))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 -1 y.re)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 -1 y.re))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 1 x.im))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 1 x.im))))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 x.re 6)) (*.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)))))
(+.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))) (+.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 -1 y.re)) (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.re 6) 90) (*.f64 (pow.f64 x.re 6) 30))) (pow.f64 x.im 6)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 1 x.im))))) (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.re 6) 90) (*.f64 (pow.f64 x.re 6) 30))) (pow.f64 x.im 6)))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 -1 y.re))
(*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.re -1))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 -1 y.re)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.re -1)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 -1 y.re))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.re -1))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.re -1))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 x.re 6)) (*.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re)))))
(+.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.re 6) 90) (*.f64 (pow.f64 x.re 6) 30))) (pow.f64 x.im 6))) (*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 -1 y.re))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.re -1))) (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.re 6) 90) (*.f64 (pow.f64 x.re 6) 30))) (pow.f64 x.im 6)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.re -1))) (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.re 6) 90) (*.f64 (pow.f64 x.re 6) 30))) (pow.f64 x.im 6)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 y.re (+.f64 (*.f64 (pow.f64 x.re 6) 90) (*.f64 (pow.f64 x.re 6) 30))) (pow.f64 x.im 6))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (*.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.re -1)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(+.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) 0)
(+.f64 0 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))
(+.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) 0)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
0.7b
(*.f64 y.re (atan2.f64 x.im x.re))
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
20.8b
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
Compiler

Compiled 72 to 13 computations (81.9% saved)

series7.0ms (0.1%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y.re
@0
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms
x.im
@-inf
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms
y.im
@inf
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms
x.im
@inf
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms
x.im
@0
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))

rewrite11.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
104×rational.json-simplify-2
76×bool.json-1
70×rational.json-1
70×rational.json-simplify-31
70×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01655
17655
213855
317855
419855
522155
624655
727455
828055
929555
1029755
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))

simplify220.0ms (1.8%)

Algorithm
egg-herbie
Rules
2244×rational.json-simplify-31
1556×rational.json-simplify-2
228×rational.json-simplify-27
198×rational.json-simplify-1
180×rational.json-simplify-41
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
01043670
12153670
23943664
36753664
410113664
511203664
611583664
712053664
812493664
912993664
1014553580
1115673580
1217163580
1317163580
1417813580
1517813580
1622243580
1723313580
1823313580
1925153580
2025393580
2125933580
2226343580
2326673580
Stop Event
saturated
Counts
50 → 57
Calls
Call 1
Inputs
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im)))) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re))))) (pow.f64 y.re 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im)))) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re))))) (pow.f64 y.re 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (log.f64 x.im) 3) (atan2.f64 x.im x.re)))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (log.f64 x.im) (pow.f64 (atan2.f64 x.im x.re) 3))))) (pow.f64 y.re 4)) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 x.im y.re))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 x.im y.re))))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im y.re))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 y.im 3) (pow.f64 x.im y.re))))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 x.im y.re))))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im y.re))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 0)
(+.f64 0 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 -1 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.re -1)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 -1 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.re -1)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 -1 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.re -1)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 -1 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (*.f64 y.re -1)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (*.f64 -1 (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))
(+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im)))) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) (*.f64 (pow.f64 y.re 2) (log.f64 x.im)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (log.f64 x.im) (pow.f64 y.re 2)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) (*.f64 (log.f64 x.im) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) (pow.f64 y.re 2)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) (*.f64 (log.f64 x.im) (*.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 y.re 2)) (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) (*.f64 (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 y.re 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re))))) (pow.f64 y.re 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im)))) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) (*.f64 (pow.f64 y.re 2) (log.f64 x.im))))) (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 1/2 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 2))))) (pow.f64 y.re 3)))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (log.f64 x.im) (pow.f64 y.re 2)))) (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) (*.f64 1/2 (pow.f64 (log.f64 x.im) 2))))) (pow.f64 y.re 3))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) (+.f64 (*.f64 (log.f64 x.im) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) (pow.f64 y.re 2)))) (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 1/2 (pow.f64 (log.f64 x.im) 2))))) (pow.f64 y.re 3))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) (+.f64 (*.f64 (log.f64 x.im) (*.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 y.re 2)) (atan2.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 1/2 (pow.f64 (log.f64 x.im) 2))))) (pow.f64 y.re 3))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) (+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 y.re 2)))) (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 1/2 (pow.f64 (log.f64 x.im) 2))))) (pow.f64 y.re 3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re))))) (pow.f64 y.re 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (log.f64 x.im) 3) (atan2.f64 x.im x.re)))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (log.f64 x.im) (pow.f64 (atan2.f64 x.im x.re) 3))))) (pow.f64 y.re 4)) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 1/2 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 2))))) (pow.f64 y.re 3)) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) (*.f64 (pow.f64 y.re 2) (log.f64 x.im))))) (+.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 1/6 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 3)))) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 -1/6 (*.f64 (log.f64 x.im) (pow.f64 (atan2.f64 x.im x.re) 3))))) (pow.f64 y.re 4))))
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(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 y.im 3) (pow.f64 x.im y.re))))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 x.im y.re))))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im y.re))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))))
(+.f64 (+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 -1/6 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 x.im y.re) (pow.f64 y.im 3))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 -1 (*.f64 y.im (*.f64 (atan2.f64 x.im x.re) (pow.f64 x.im y.re)))))) (+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 (pow.f64 x.im y.re) (pow.f64 y.im 2)))))))
(+.f64 (+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 (pow.f64 x.im y.re) (pow.f64 y.im 2)) (*.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2))))) (+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 -1 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (pow.f64 x.im y.re))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 -1/6 (*.f64 (pow.f64 x.im y.re) (pow.f64 y.im 3)))))))
(+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 x.im y.re) (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 x.im y.re) (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 x.im y.re) (*.f64 -1/6 (pow.f64 y.im 3)))))))
(+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 x.im y.re) (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 x.im y.re) (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))) (+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 x.im y.re) (*.f64 -1/6 (pow.f64 y.im 3))))))))
(+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 x.im y.re) (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))) (+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 x.im y.re) (*.f64 -1/6 (pow.f64 y.im 3))))))))
(+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 x.im y.re) (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (+.f64 1 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 x.im y.re) (*.f64 -1/6 (pow.f64 y.im 3)))))))
(+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 x.im y.re) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 x.im y.re) (*.f64 -1/6 (pow.f64 y.im 3)))))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 0)
(+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re))))) 0)
(+.f64 0 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re))))) 0)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (log.f64 (*.f64 x.im -1)) y.re)
0.7b
(*.f64 y.re (atan2.f64 x.im x.re))
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
20.8b
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
Compiler

Compiled 86 to 36 computations (58.1% saved)

series25.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
17.0ms
y.re
@0
(*.f64 (log.f64 (*.f64 x.im -1)) y.re)
7.0ms
x.im
@0
(*.f64 (log.f64 (*.f64 x.im -1)) y.re)
0.0ms
y.re
@inf
(*.f64 (log.f64 (*.f64 x.im -1)) y.re)
0.0ms
y.re
@-inf
(*.f64 (log.f64 (*.f64 x.im -1)) y.re)
0.0ms
x.im
@inf
(*.f64 (log.f64 (*.f64 x.im -1)) y.re)

rewrite5.0ms (0%)

Algorithm
batch-egg-rewrite
Rules
26×bool.json-1
24×rational.json-simplify-2
20×rational.json-1
20×rational.json-2
20×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
14217
27017
37517
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (log.f64 (*.f64 x.im -1)) y.re)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (*.f64 x.im -1)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (log.f64 (*.f64 x.im -1)) y.re))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
24×rational.json-simplify-2
rational.json-simplify-1
rational.json-simplify-31
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029558
140558
244558
346558
Stop Event
saturated
Counts
26 → 10
Calls
Call 1
Inputs
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) 0)
(+.f64 0 (*.f64 (log.f64 (*.f64 x.im -1)) y.re))
Outputs
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.im))))
(*.f64 y.re (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.im))))
(*.f64 y.re (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.im))))
(*.f64 y.re (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.im))))
(*.f64 y.re (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(*.f64 y.re (log.f64 (*.f64 -1 x.im)))
(+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) 0)
(+.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.im))) 0)
(+.f64 0 (*.f64 (log.f64 (*.f64 x.im -1)) y.re))
(+.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.im))) 0)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (log.f64 x.im) y.im)
0.7b
(*.f64 (atan2.f64 x.im x.re) y.re)
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
15.8b
(sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
Compiler

Compiled 96 to 15 computations (84.4% saved)

series15.0ms (0.1%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
14.0ms
y.im
@0
(*.f64 (log.f64 x.im) y.im)
0.0ms
y.im
@inf
(*.f64 (log.f64 x.im) y.im)
0.0ms
y.im
@-inf
(*.f64 (log.f64 x.im) y.im)
0.0ms
x.im
@0
(*.f64 (log.f64 x.im) y.im)
0.0ms
x.im
@-inf
(*.f64 (log.f64 x.im) y.im)

rewrite5.0ms (0%)

Algorithm
batch-egg-rewrite
Rules
22×bool.json-1
20×rational.json-simplify-2
18×rational.json-1
18×rational.json-2
18×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
13311
25911
36311
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (log.f64 x.im) y.im)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.im) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x.im) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 x.im) y.im) (*.f64 (log.f64 x.im) y.im))))))

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
18×rational.json-simplify-2
rational.json-simplify-31
rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022258
130258
234258
336258
Stop Event
saturated
Counts
10 → 6
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(+.f64 (*.f64 (log.f64 x.im) y.im) 0)
(+.f64 0 (*.f64 (log.f64 x.im) y.im))
Outputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (*.f64 (log.f64 x.im) y.im) 0)
(+.f64 (*.f64 y.im (log.f64 x.im)) 0)
(+.f64 0 (*.f64 (log.f64 x.im) y.im))
(+.f64 (*.f64 y.im (log.f64 x.im)) 0)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (log.f64 (*.f64 x.re -1)) y.im)
0.7b
(*.f64 (atan2.f64 x.im x.re) y.re)
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
16.5b
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
Compiler

Compiled 112 to 39 computations (65.2% saved)

series69.0ms (0.6%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
29.0ms
x.im
@0
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
12.0ms
y.im
@0
(*.f64 (log.f64 (*.f64 x.re -1)) y.im)
8.0ms
x.re
@inf
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms
x.re
@0
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms
x.re
@-inf
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite6.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
38×rational.json-simplify-2
38×bool.json-1
34×rational.json-simplify-1
32×rational.json-1
32×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01556
16856
210856
311356
Stop Event
saturated
Counts
2 → 6
Calls
Call 1
Inputs
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (log.f64 (*.f64 x.re -1)) y.im)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (*.f64 x.re -1)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (log.f64 (*.f64 x.re -1)) y.im))))))

simplify42.0ms (0.4%)

Algorithm
egg-herbie
Rules
256×rational.json-simplify-2
158×rational.json-simplify-31
130×rational.json-simplify-1
70×rational.json-simplify-33
rational.json-simplify-19
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0903190
11623190
22553118
33663118
44443118
54493118
Stop Event
saturated
Counts
78 → 51
Calls
Call 1
Inputs
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 (*.f64 -1 x.re)) 2) (pow.f64 y.im 2))))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 (*.f64 -1 x.re)) 2) (pow.f64 y.im 2)))) (*.f64 -1/6 (*.f64 (pow.f64 (log.f64 (*.f64 -1 x.re)) 3) (*.f64 (pow.f64 y.im 3) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im))
(+.f64 (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)) (*.f64 (cos.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)) (*.f64 (cos.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)) (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)) (*.f64 (cos.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(+.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) 0)
(+.f64 0 (*.f64 (log.f64 (*.f64 x.re -1)) y.im))
Outputs
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.im))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.im))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.im))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.im))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
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(*.f64 y.im (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 y.im (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.im)
(*.f64 y.im (log.f64 (*.f64 -1 x.re)))
(+.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.re))))) 0)
(+.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.re))))) 0)
(*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 1 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.re))))))
(*.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 1 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.re))))))
(+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) 0)
(+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.re))) 0)
(+.f64 0 (*.f64 (log.f64 (*.f64 x.re -1)) y.im))
(+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.re))) 0)

eval133.0ms (1.1%)

Compiler

Compiled 13037 to 5355 computations (58.9% saved)

prune88.0ms (0.7%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New3379346
Fresh246
Picked011
Done134
Total34017357
Error
2.6b
Counts
357 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
32.0b
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
37.1b
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
41.8b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
40.9b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
38.5b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
50.1b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
38.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
38.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
21.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
44.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
50.5b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
39.7b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
42.6b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
51.0b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
42.4b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
55.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
47.8b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
Compiler

Compiled 758 to 460 computations (39.3% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
0.6b
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
1.4b
(*.f64 y.im (atan2.f64 x.im x.re))
Compiler

Compiled 51 to 10 computations (80.4% saved)

series9.0ms (0.1%)

Counts
3 → 92
Calls

30 calls:

TimeVariablePointExpression
2.0ms
x.re
@inf
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
1.0ms
x.re
@-inf
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
1.0ms
x.im
@inf
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
1.0ms
y.re
@inf
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
1.0ms
y.re
@0
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))

rewrite14.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
154×rational.json-simplify-2
150×rational.json-simplify-31
88×bool.json-1
82×rational.json-1
82×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01373
16373
211373
313473
415873
516373
616573
717173
818773
919973
1025373
1131673
1236173
Stop Event
saturated
Counts
3 → 13
Calls
Call 1
Inputs
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x or (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))))

simplify86.0ms (0.7%)

Algorithm
egg-herbie
Rules
728×rational.json-simplify-31
472×rational.json-simplify-2
300×rational.json-simplify-33
248×rational.json-simplify-1
rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723241
11453241
22293241
33293241
44223241
55133241
66083241
77123241
88453241
98993241
108993241
1110873241
Stop Event
saturated
Counts
105 → 54
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) y.im))))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (*.f64 1/2 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 2)))) (*.f64 -1 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) y.im)))))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (*.f64 1/2 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 2)))) (+.f64 (*.f64 -1 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) y.im))) (*.f64 -1/6 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.im 3)))))))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
1
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (*.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))))))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(-.f64 0 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(neg.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) 0)
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)))
(+.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 0)
(+.f64 0 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1)
(*.f64 1 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 -1 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) -1))
(*.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) -1) -1)
Outputs
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) y.im))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.re (*.f64 -1 (*.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (*.f64 (*.f64 y.re -1) (pow.f64 (atan2.f64 x.im x.re) 2))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 y.im -1))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 y.re -1))))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (*.f64 1/2 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 2)))) (*.f64 -1 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) y.im)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (+.f64 (*.f64 y.re (*.f64 -1 (*.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2)))) (*.f64 1/2 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 2))))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (+.f64 (*.f64 y.im (*.f64 (*.f64 y.re -1) (pow.f64 (atan2.f64 x.im x.re) 2))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 y.im 2) (*.f64 y.re 1/2)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (+.f64 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 y.im -1))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 y.im 2) (*.f64 y.re 1/2)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (+.f64 (*.f64 y.im (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 y.re -1))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 y.im 2) (*.f64 y.re 1/2)))))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (*.f64 1/2 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 2)))) (+.f64 (*.f64 -1 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) y.im))) (*.f64 -1/6 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.im 3)))))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (+.f64 (*.f64 1/2 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 2)))) (+.f64 (*.f64 y.re (*.f64 -1 (*.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2)))) (*.f64 -1/6 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.im 3)))))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (+.f64 (*.f64 y.re (*.f64 -1 (*.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (*.f64 1/2 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 2)))) (*.f64 -1/6 (*.f64 y.re (*.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.im 3)))))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (+.f64 (*.f64 y.im (*.f64 (*.f64 y.re -1) (pow.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 y.im 2) (*.f64 y.re 1/2))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (*.f64 y.re (*.f64 -1/6 (pow.f64 y.im 3)))))))
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(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (+.f64 (*.f64 y.im (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 y.re -1))) (+.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 (pow.f64 y.im 2) (*.f64 y.re 1/2))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (*.f64 y.re (*.f64 -1/6 (pow.f64 y.im 3)))))))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
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(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
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(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
1
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))))
(+.f64 1 (+.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))))
(+.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 1/2 (pow.f64 y.im 2))))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (*.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))))))
(+.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))) (*.f64 -1/6 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3))))))
(+.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 -1/6 (pow.f64 y.im 3))))))
(+.f64 1 (+.f64 (+.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 -1/6 (pow.f64 y.im 3)))) (*.f64 1/2 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))))
(+.f64 (+.f64 1 (+.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 -1/6 (pow.f64 y.im 3))))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 1/2 (pow.f64 y.im 2))))
(+.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (+.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 1/2 (pow.f64 y.im 2))) (+.f64 1 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 -1/6 (pow.f64 y.im 3))))))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(-.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(*.f64 (atan2.f64 x.im x.re) y.im)
(-.f64 0 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(neg.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) 0)
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re)))
(+.f64 0 (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)))
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re)))
(+.f64 0 (*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 0)
(+.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 0)
(+.f64 0 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 0)
(*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1)
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 1 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 -1 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) -1))
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) -1) -1)
(*.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
0.7b
(*.f64 y.re (atan2.f64 x.im x.re))
20.8b
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
Compiler

Compiled 34 to 9 computations (73.5% saved)

series38.0ms (0.3%)

Counts
1 → 12
Calls

9 calls:

TimeVariablePointExpression
35.0ms
y.re
@0
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
1.0ms
x.im
@inf
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
0.0ms
x.im
@-inf
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
0.0ms
x.im
@0
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
0.0ms
y.re
@inf
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))

rewrite7.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
30×rational.json-simplify-2
30×bool.json-1
26×rational.json-1
26×rational.json-2
26×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
15029
28429
38829
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))))))

simplify17.0ms (0.1%)

Algorithm
egg-herbie
Rules
78×rational.json-simplify-2
58×rational.json-simplify-1
36×rational.json-simplify-33
22×rational.json-simplify-31
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062876
1103876
2136876
3160876
4172876
5172876
Stop Event
saturated
Counts
14 → 16
Calls
Call 1
Inputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.re 3)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.re 3)) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (log.f64 x.im) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 1/6 (*.f64 (pow.f64 (log.f64 x.im) 3) (atan2.f64 x.im x.re)))) (pow.f64 y.re 4)))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 0)
(+.f64 0 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
Outputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (*.f64 (pow.f64 y.re 2) (log.f64 x.im))))
(+.f64 (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.re 3)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (pow.f64 y.re 2) (log.f64 x.im))) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 1/2 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 2)))) (pow.f64 y.re 3))))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (pow.f64 y.re 2) (log.f64 x.im))) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 (atan2.f64 x.im x.re) (*.f64 1/2 (pow.f64 (log.f64 x.im) 2)))) (pow.f64 y.re 3))))
(+.f64 (*.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.re 3)) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (log.f64 x.im) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 1/6 (*.f64 (pow.f64 (log.f64 x.im) 3) (atan2.f64 x.im x.re)))) (pow.f64 y.re 4)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (pow.f64 y.re 2) (log.f64 x.im))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 1/2 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 2)))) (pow.f64 y.re 3)) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 (log.f64 x.im) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 1/6 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 3)))) (pow.f64 y.re 4)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (pow.f64 y.re 2) (log.f64 x.im))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 (atan2.f64 x.im x.re) (*.f64 1/2 (pow.f64 (log.f64 x.im) 2)))) (pow.f64 y.re 3)) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 (log.f64 x.im) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 (atan2.f64 x.im x.re) (*.f64 1/6 (pow.f64 (log.f64 x.im) 3)))) (pow.f64 y.re 4)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (pow.f64 y.re 2) (log.f64 x.im))) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (*.f64 (atan2.f64 x.im x.re) (*.f64 1/2 (pow.f64 (log.f64 x.im) 2)))) (pow.f64 y.re 3)) (*.f64 (+.f64 (*.f64 (log.f64 x.im) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 (atan2.f64 x.im x.re) (*.f64 1/6 (pow.f64 (log.f64 x.im) 3)))) (pow.f64 y.re 4)))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 1 x.im))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 1 x.im))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 1 x.im))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 1 x.im))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(*.f64 (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(*.f64 (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(*.f64 (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 0)
(+.f64 0 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
(+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 0)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
0.1b
(*.f64 (log.f64 (*.f64 x.re -1)) y.re)
0.7b
(*.f64 y.re (atan2.f64 x.im x.re))
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
Compiler

Compiled 79 to 35 computations (55.7% saved)

series12.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
8.0ms
y.re
@0
(*.f64 (log.f64 (*.f64 x.re -1)) y.re)
0.0ms
x.re
@0
(*.f64 (log.f64 (*.f64 x.re -1)) y.re)
0.0ms
x.re
@inf
(*.f64 (log.f64 (*.f64 x.re -1)) y.re)
0.0ms
x.im
@0
(-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
0.0ms
x.re
@-inf
(*.f64 (log.f64 (*.f64 x.re -1)) y.re)

rewrite12.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
86×rational.json-simplify-2
68×rational.json-simplify-31
66×bool.json-1
60×rational.json-1
60×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01452
16752
212252
315952
417952
520252
622852
726452
Stop Event
saturated
Counts
2 → 14
Calls
Call 1
Inputs
(*.f64 (log.f64 (*.f64 x.re -1)) y.re)
(-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (*.f64 x.re -1)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (log.f64 (*.f64 x.re -1)) y.re))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 (log.f64 (*.f64 x.re -1)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (*.f64 x.re -1)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (*.f64 x.re -1)) y.re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (*.f64 x.re -1)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))))

simplify69.0ms (0.6%)

Algorithm
egg-herbie
Rules
306×rational.json-simplify-31
290×rational.json-simplify-2
104×rational.json-simplify-29
88×rational.json-simplify-1
86×rational.json-simplify-27
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0572588
1982588
21492588
32322588
43572588
55802588
67612588
78372588
88832588
98932588
Stop Event
saturated
Counts
86 → 33
Calls
Call 1
Inputs
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) 0)
(+.f64 0 (*.f64 (log.f64 (*.f64 x.re -1)) y.re))
(-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) 0)
(-.f64 0 (neg.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re)))
(neg.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re)))
(+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 0)
(+.f64 0 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 (log.f64 (*.f64 x.re -1)) y.re))
(*.f64 -1 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (*.f64 x.re -1)) y.re)))
(*.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(*.f64 1 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(*.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (*.f64 x.re -1)) y.re)) -1)
(neg.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (*.f64 x.re -1)) y.re)))
Outputs
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.re))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.re))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.re))
(*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.re))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
(-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
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(-.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 -1 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
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(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
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(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
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(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (*.f64 -1 x.re)))
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(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (log.f64 (*.f64 -1 x.re)) y.re))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
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(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
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(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
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(-.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
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(*.f64 (log.f64 (*.f64 -1 x.re)) y.re)
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(*.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
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(*.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 1 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (*.f64 x.re -1)) y.re)) -1)
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (*.f64 x.re -1)) y.re)))
(-.f64 (*.f64 y.re (log.f64 (*.f64 -1 x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))

localize55.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(*.f64 y.re (atan2.f64 x.im x.re))
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
8.1b
(/.f64 (pow.f64 x.im 2) x.re)
8.7b
(log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re))))
Compiler

Compiled 147 to 85 computations (42.2% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x.re
@0
(log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re))))
1.0ms
x.im
@inf
(log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re))))
1.0ms
x.re
@inf
(log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re))))
1.0ms
x.im
@0
(log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re))))
0.0ms
x.im
@0
(/.f64 (pow.f64 x.im 2) x.re)

rewrite6.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
36×bool.json-1
30×rational.json-simplify-2
28×rational.json-simplify-1
26×rational.json-1
26×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
16348
29748
310348
Stop Event
saturated
Counts
2 → 8
Calls
Call 1
Inputs
(log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(/.f64 (pow.f64 x.im 2) x.re)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x.im 2) x.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 x.im 2) x.re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x.im 2) x.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x.im 2) x.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (pow.f64 x.im 2) x.re) (/.f64 (pow.f64 x.im 2) x.re))))))

simplify69.0ms (0.6%)

Algorithm
egg-herbie
Rules
812×rational.json-simplify-1
796×rational.json-simplify-33
42×rational.json-simplify-2
rational.json-simplify-31
rational.json-simplify-9
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01082016
11992016
23431984
35811984
48511984
59291984
69291984
710021984
810061984
Stop Event
saturated
Counts
32 → 99
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (log.f64 x.re)) (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))))
(+.f64 (*.f64 -1 (log.f64 x.re)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 (*.f64 -1/2 (pow.f64 x.im 2)))))
(+.f64 (*.f64 -1 (log.f64 x.re)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))))))
(+.f64 (*.f64 -1 (log.f64 x.re)) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (*.f64 -1/2 (pow.f64 x.im 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))))))
(*.f64 -1 (log.f64 (/.f64 -1 x.re)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -1 (log.f64 (/.f64 -1 x.re))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (*.f64 -1 (log.f64 (/.f64 -1 x.re))))))
(log.f64 (*.f64 -1 x.re))
(+.f64 (log.f64 (*.f64 -1 x.re)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (log.f64 (*.f64 -1 x.re)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (log.f64 (*.f64 -1 x.re)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re)))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re))))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.im))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.im))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.im))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re)))))))
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.im))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re))))))))
(+.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) 0)
(+.f64 0 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))))
(*.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) 1)
(*.f64 1 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))))
(+.f64 (/.f64 (pow.f64 x.im 2) x.re) 0)
(+.f64 0 (/.f64 (pow.f64 x.im 2) x.re))
(*.f64 (/.f64 (pow.f64 x.im 2) x.re) 1)
(*.f64 1 (/.f64 (pow.f64 x.im 2) x.re))
Outputs
(+.f64 (*.f64 -1 (log.f64 x.re)) (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))))
(+.f64 (*.f64 -1 (log.f64 x.re)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 (*.f64 -1/2 (pow.f64 x.im 2)))))
(+.f64 (*.f64 -1 (log.f64 x.re)) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))) (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(+.f64 (*.f64 -1 (log.f64 x.re)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))))))
(+.f64 (*.f64 -1 (log.f64 x.re)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (+.f64 (*.f64 -1 (log.f64 x.re)) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (log.f64 (*.f64 -1/2 (pow.f64 x.im 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))) (+.f64 (*.f64 -1 (log.f64 x.re)) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(+.f64 (*.f64 -1 (log.f64 x.re)) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (*.f64 -1/2 (pow.f64 x.im 2)))))))
(+.f64 (+.f64 (*.f64 -1 (log.f64 x.re)) (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(+.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))) (+.f64 (*.f64 -1 (log.f64 x.re)) (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))))
(+.f64 (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))) (+.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (+.f64 (*.f64 -1 (log.f64 x.re)) (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))) (+.f64 (*.f64 -1 (log.f64 x.re)) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))) (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))) (+.f64 (*.f64 -1 (log.f64 x.re)) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))))
(+.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 x.im 2))) (+.f64 (*.f64 -1 (log.f64 x.re)) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))
(+.f64 (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))))) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))))))
(*.f64 -1 (log.f64 (/.f64 -1 x.re)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -1 (log.f64 (/.f64 -1 x.re))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (*.f64 -1 (log.f64 (/.f64 -1 x.re))))))
(+.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (+.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (*.f64 -1 (log.f64 (/.f64 -1 x.re))))))
(log.f64 (*.f64 -1 x.re))
(+.f64 (log.f64 (*.f64 -1 x.re)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (log.f64 (*.f64 -1 x.re)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (log.f64 (*.f64 -1 x.re)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (log.f64 (*.f64 -1 x.re))) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (log.f64 (*.f64 -1 x.re))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (log.f64 (*.f64 -1 x.re)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))) (log.f64 (*.f64 -1 x.re))))
(+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (log.f64 (*.f64 -1 x.re)))) (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (log.f64 (*.f64 -1 x.re)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (log.f64 (*.f64 -1 x.re)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (log.f64 (*.f64 -1 x.re)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (log.f64 (*.f64 (/.f64 1 x.re) -1/2)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (log.f64 (*.f64 -1/2 (/.f64 1 x.re))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (log.f64 (*.f64 (/.f64 1 x.re) -1/2))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (log.f64 (*.f64 -1/2 (/.f64 1 x.re)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re)))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (*.f64 (/.f64 1 x.re) -1/2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (log.f64 (*.f64 -1/2 (/.f64 1 x.re))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re))))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2)))))))
(+.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2)))))
(+.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (*.f64 (/.f64 1 x.re) -1/2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (*.f64 -2 (log.f64 (/.f64 1 x.im))))))
(+.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (*.f64 -1/2 (/.f64 1 x.re)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (*.f64 -2 (log.f64 (/.f64 1 x.im))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (log.f64 (*.f64 -1/2 (/.f64 1 x.re)))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.im))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re)))))
(+.f64 (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im))))
(+.f64 (log.f64 (*.f64 (/.f64 1 x.re) -1/2)) (*.f64 -2 (log.f64 (/.f64 -1 x.im))))
(+.f64 (log.f64 (*.f64 -1/2 (/.f64 1 x.re))) (*.f64 -2 (log.f64 (/.f64 -1 x.im))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.im))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re))))))
(+.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im)))) (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2))))
(+.f64 (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (log.f64 (*.f64 (/.f64 1 x.re) -1/2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (log.f64 (*.f64 -1/2 (/.f64 1 x.re))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 (*.f64 -1/2 (/.f64 1 x.re))) (*.f64 -2 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.im))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re)))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im))))))
(+.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im))))) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 (*.f64 (/.f64 1 x.re) -1/2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im))))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 (*.f64 -1/2 (/.f64 1 x.re))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 (*.f64 -1/2 (/.f64 1 x.re))) (*.f64 -2 (log.f64 (/.f64 -1 x.im))))))
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.im))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.re))))))))
(+.f64 (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im))))))
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (+.f64 (log.f64 (neg.f64 (*.f64 (/.f64 1 x.re) 1/2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -2 (log.f64 (/.f64 -1 x.im))))) (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 (*.f64 (/.f64 1 x.re) -1/2)) (*.f64 -2 (log.f64 (/.f64 -1 x.im)))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (*.f64 -2 (log.f64 (/.f64 -1 x.im)))) (log.f64 (*.f64 -1/2 (/.f64 1 x.re))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 (*.f64 -1/2 (/.f64 1 x.re))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (*.f64 -2 (log.f64 (/.f64 -1 x.im)))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (log.f64 (*.f64 -1/2 (/.f64 1 x.re))) (*.f64 -2 (log.f64 (/.f64 -1 x.im)))))))
(+.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) 0)
(+.f64 (log.f64 (+.f64 (*.f64 -1 x.re) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) 0)
(+.f64 0 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))))
(+.f64 (log.f64 (+.f64 (*.f64 -1 x.re) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) 0)
(*.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) 1)
(*.f64 1 (log.f64 (+.f64 (*.f64 -1 x.re) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))))
(*.f64 1 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))))
(*.f64 1 (log.f64 (+.f64 (*.f64 -1 x.re) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))))
(+.f64 (/.f64 (pow.f64 x.im 2) x.re) 0)
(+.f64 0 (/.f64 (pow.f64 x.im 2) x.re))
(+.f64 (/.f64 (pow.f64 x.im 2) x.re) 0)
(*.f64 (/.f64 (pow.f64 x.im 2) x.re) 1)
(*.f64 1 (/.f64 (pow.f64 x.im 2) x.re))
(*.f64 1 (/.f64 (pow.f64 x.im 2) x.re))

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (log.f64 (*.f64 x.im -1)) y.im)
0.7b
(*.f64 (atan2.f64 x.im x.re) y.re)
1.4b
(*.f64 (atan2.f64 x.im x.re) y.im)
19.4b
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
Compiler

Compiled 125 to 61 computations (51.2% saved)

series22.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
8.0ms
y.im
@0
(*.f64 (log.f64 (*.f64 x.im -1)) y.im)
8.0ms
x.re
@0
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms
x.im
@0
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms
x.im
@inf
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms
x.re
@inf
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite6.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
38×rational.json-simplify-2
38×bool.json-1
34×rational.json-simplify-1
32×rational.json-1
32×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01556
16856
210856
311356
Stop Event
saturated
Counts
2 → 6
Calls
Call 1
Inputs
(sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (log.f64 (*.f64 x.im -1)) y.im)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (*.f64 x.im -1)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (log.f64 (*.f64 x.im -1)) y.im))))))

simplify44.0ms (0.4%)

Algorithm
egg-herbie
Rules
254×rational.json-simplify-2
156×rational.json-simplify-31
132×rational.json-simplify-1
70×rational.json-simplify-33
rational.json-simplify-19
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0883190
11563150
22543118
33683118
44443118
54483118
Stop Event
saturated
Counts
78 → 48
Calls
Call 1
Inputs
(sin.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (*.f64 -1 x.im)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2)))) (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (*.f64 -1 x.im))))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.im 3) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (*.f64 -1 x.im)) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2)))) (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (*.f64 -1 x.im)))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(+.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) 0)
(+.f64 0 (*.f64 (log.f64 (*.f64 x.im -1)) y.im))
Outputs
(sin.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (*.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (*.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (*.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (*.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (*.f64 -1 x.im)))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2)))) (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (*.f64 -1 x.im))))))
(+.f64 (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (*.f64 -1 x.im))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2)))))
(+.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2))))))
(+.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (*.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2))))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y.im 3) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (*.f64 -1 x.im)) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2)))) (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (*.f64 -1 x.im)))))))
(+.f64 (+.f64 (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (*.f64 -1 x.im))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2))))) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (*.f64 -1 x.im)) 3)))))
(+.f64 (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (*.f64 -1 x.im))))) (+.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2)))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (*.f64 -1 x.im)) 3))))))
(+.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (*.f64 -1 x.im)) 3)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (*.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (*.f64 -1 x.im)) 2)))))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) y.re)))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) y.re)) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 1 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 -1/2 (pow.f64 y.re 2))))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 1 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 -1/2 (pow.f64 y.re 2))))))
(+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))))) (+.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) y.re)) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 1 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 -1/2 (pow.f64 y.re 2)))))) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))) (+.f64 1 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 -1/2 (pow.f64 y.re 2)))))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(sin.f64 (+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(*.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(*.f64 -1 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(*.f64 y.im (log.f64 (*.f64 -1 x.im)))
(+.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im))))) 0)
(+.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im))))) 0)
(*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 1 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im))))))
(*.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 1 (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (*.f64 -1 x.im))))))
(+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) 0)
(+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) 0)
(+.f64 0 (*.f64 (log.f64 (*.f64 x.im -1)) y.im))
(+.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im))) 0)

eval127.0ms (1.1%)

Compiler

Compiled 9532 to 5190 computations (45.6% saved)

prune65.0ms (0.5%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New2824286
Fresh088
Picked011
Done268
Total28419303
Error
2.6b
Counts
303 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
50.2b
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
32.0b
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
49.4b
(*.f64 (atan2.f64 x.im x.re) y.re)
37.1b
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
40.9b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
38.5b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
50.1b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
53.0b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
38.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
38.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
21.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
44.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
50.5b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
39.7b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
42.6b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
51.0b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
42.4b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
55.2b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
47.8b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
Compiler

Compiled 453 to 276 computations (39.1% saved)

regimes266.0ms (2.2%)

Counts
30 → 3
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (log.f64 x.im) (*.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Calls

5 calls:

92.0ms
y.re
70.0ms
y.im
39.0ms
x.re
39.0ms
x.im
14.0ms
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Results
ErrorSegmentsBranch
11.2b3x.re
14.4b3x.im
12.9b7y.re
19.4b3y.im
15.5b2(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Compiler

Compiled 719 to 207 computations (71.2% saved)

bsearch70.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
43.0ms
1.3149468020822735e-25
8.49234270423987e-15
26.0ms
-1.5644420193197116e+25
-5701609583424.297
Results
53.0ms251×body256valid
7.0ms11×body1024infinite
2.0ms10×body256infinite
2.0msbody1024valid
1.0msbody512valid
1.0msbody512infinite
Compiler

Compiled 1000 to 599 computations (40.1% saved)

regimes112.0ms (0.9%)

Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Calls

4 calls:

31.0ms
x.re
31.0ms
x.im
31.0ms
y.re
12.0ms
y.im
Results
ErrorSegmentsBranch
13.4b3x.re
14.4b3x.im
15.4b3y.re
21.2b1y.im
Compiler

Compiled 462 to 156 computations (66.2% saved)

bsearch93.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
1.3149468020822735e-25
8.49234270423987e-15
48.0ms
-1.5644420193197116e+25
-5701609583424.297
Results
65.0ms312×body256valid
11.0ms18×body1024infinite
4.0ms18×body256infinite
4.0msbody1024valid
3.0msbody512infinite
1.0msbody512valid
Compiler

Compiled 1168 to 695 computations (40.5% saved)

regimes106.0ms (0.9%)

Counts
21 → 3
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Calls

4 calls:

30.0ms
x.re
30.0ms
x.im
29.0ms
y.re
10.0ms
y.im
Results
ErrorSegmentsBranch
13.4b3x.re
14.4b3x.im
15.5b3y.re
21.2b1y.im
Compiler

Compiled 410 to 142 computations (65.4% saved)

bsearch101.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
1.3149468020822735e-25
8.49234270423987e-15
53.0ms
-1.5644420193197116e+25
-5701609583424.297
Results
67.0ms315×body256valid
15.0ms25×body1024infinite
6.0ms18×body256infinite
4.0ms10×body512infinite
3.0msbody1024valid
1.0msbody512valid
Compiler

Compiled 1148 to 675 computations (41.2% saved)

regimes100.0ms (0.8%)

Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Calls

4 calls:

29.0ms
x.re
27.0ms
y.re
27.0ms
x.im
11.0ms
y.im
Results
ErrorSegmentsBranch
17.3b3x.re
14.4b3x.im
15.5b3y.re
21.2b1y.im
Compiler

Compiled 337 to 124 computations (63.2% saved)

bsearch124.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
71.0ms
1.4291887225532793e-9
106.40859072870826
53.0ms
-1.1271329786426253e-260
-1.3904485536217862e-265
Results
59.0ms276×body256valid
28.0ms45×body1024infinite
12.0ms20×body1024valid
10.0ms25×body512infinite
6.0msbody512valid
3.0ms12×body256infinite
Compiler

Compiled 1104 to 652 computations (40.9% saved)

regimes89.0ms (0.7%)

Counts
17 → 3
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re -1) (*.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
Calls

4 calls:

25.0ms
x.re
25.0ms
y.re
24.0ms
x.im
9.0ms
y.im
Results
ErrorSegmentsBranch
17.3b3x.re
15.9b3x.im
15.5b3y.re
21.2b1y.im
Compiler

Compiled 314 to 120 computations (61.8% saved)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
30.0ms
4.364206342774334e-39
5.8583732737491655e-37
33.0ms
-5.3679696469043625e-8
-2.1907064361203847e-11
Results
48.0ms230×body256valid
4.0msbody1024valid
4.0msbody1024infinite
2.0msbody512infinite
1.0msbody512valid
1.0msbody256infinite
Compiler

Compiled 753 to 445 computations (40.9% saved)

regimes128.0ms (1.1%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (*.f64 -1 x.im)))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
Calls

4 calls:

48.0ms
x.re
38.0ms
y.im
21.0ms
y.re
15.0ms
x.im
Results
ErrorSegmentsBranch
19.1b6x.re
18.2b2x.im
20.5b3y.re
25.6b5y.im
Compiler

Compiled 263 to 98 computations (62.7% saved)

bsearch55.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
55.0ms
-1.0845554967498457e-301
1.401792140601087e-302
Results
30.0ms148×body256valid
8.0ms13×body1024infinite
6.0ms10×body1024valid
5.0ms10×body512infinite
3.0ms10×body256infinite
1.0msbody512valid
Compiler

Compiled 528 to 325 computations (38.4% saved)

regimes109.0ms (0.9%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (log.f64 (*.f64 -1 x.re)) y.im)))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
Calls

4 calls:

42.0ms
x.re
31.0ms
y.im
19.0ms
y.re
13.0ms
x.im
Results
ErrorSegmentsBranch
19.1b6x.re
18.2b2x.im
20.5b3y.re
25.6b5y.im
Compiler

Compiled 202 to 72 computations (64.4% saved)

bsearch67.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
67.0ms
-1.0845554967498457e-301
1.401792140601087e-302
Results
29.0ms142×body256valid
15.0ms24×body1024infinite
9.0ms15×body1024valid
7.0ms18×body512infinite
2.0msbody256infinite
1.0msbody2048valid
1.0msbody512valid
Compiler

Compiled 518 to 315 computations (39.2% saved)

regimes96.0ms (0.8%)

Counts
9 → 6
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
Calls

4 calls:

36.0ms
x.re
25.0ms
y.im
16.0ms
x.im
16.0ms
y.re
Results
ErrorSegmentsBranch
19.1b6x.re
20.2b3x.im
20.5b3y.re
25.6b5y.im
Compiler

Compiled 147 to 64 computations (56.5% saved)

bsearch183.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
8.392535908883227e-268
4.326037955161105e-267
36.0ms
-2.3993088704764897e-256
-6.265029076304365e-260
38.0ms
-3.077013651902273e-179
-4.1448159911957977e-184
43.0ms
-6.6381269256522e-103
-4.1112706003380973e-113
40.0ms
-7.692856351599826e-72
-4.0186054732769123e-84
Results
142.0ms688×body256valid
23.0ms38×body1024infinite
4.0ms11×body512infinite
3.0ms16×body256infinite
Compiler

Compiled 1646 to 1025 computations (37.7% saved)

regimes82.0ms (0.7%)

Counts
7 → 5
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
Calls

4 calls:

23.0ms
y.im
22.0ms
x.im
22.0ms
x.re
13.0ms
y.re
Results
ErrorSegmentsBranch
24.5b4x.re
19.9b5x.im
20.5b3y.re
25.6b5y.im
Compiler

Compiled 111 to 50 computations (55% saved)

bsearch244.0ms (2%)

Algorithm
binary-search
Steps
TimeLeftRight
71.0ms
2.242573338404278e+195
5.689721427078551e+201
61.0ms
2.0141197891849867e+130
8.883875141043698e+137
73.0ms
9.791596604929262e-88
2.3078463370916705e-77
40.0ms
-1.3904485536217862e-265
-9.573909358546186e-268
Results
110.0ms538×body256valid
74.0ms117×body1024infinite
24.0ms60×body512infinite
9.0ms41×body256infinite
8.0ms14×body1024valid
6.0msbody2048infinite
4.0msbody512valid
Compiler

Compiled 1238 to 767 computations (38% saved)

regimes74.0ms (0.6%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
Outputs
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
Calls

4 calls:

25.0ms
x.im
21.0ms
x.re
13.0ms
y.im
13.0ms
y.re
Results
ErrorSegmentsBranch
24.5b4x.re
27.1b6x.im
20.5b3y.re
26.7b3y.im
Compiler

Compiled 92 to 43 computations (53.3% saved)

bsearch202.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
166.0ms
2.606270831289568e+57
7.950634522877174e+70
36.0ms
-1.4829840423006295e+38
-1.8929097857511877e+35
Results
67.0ms91×body1024infinite
59.0ms288×body256valid
27.0ms64×body512infinite
27.0ms110×body256infinite
18.0ms15×body2048infinite
Compiler

Compiled 624 to 385 computations (38.3% saved)

regimes33.0ms (0.3%)

Accuracy

Total -26.6b remaining (-86.5%)

Threshold costs -26.6b (-86.5%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) (*.f64 (+.f64 1 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) y.re))
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
Outputs
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
Calls

4 calls:

11.0ms
x.im
10.0ms
y.re
6.0ms
y.im
5.0ms
x.re
Results
ErrorSegmentsBranch
37.1b1x.re
35.7b3x.im
30.8b3y.re
37.1b1y.im
Compiler

Compiled 62 to 33 computations (46.8% saved)

bsearch107.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
52.0ms
0.3363592576127199
73998.07427219296
55.0ms
-1.638967979373555e+34
-2.389042101437226e+24
Results
65.0ms303×body256valid
15.0ms15×body1024infinite
13.0ms57×body256infinite
9.0ms21×body512infinite
0.0msbody512valid
Compiler

Compiled 504 to 329 computations (34.7% saved)

simplify23.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01412084
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x.re -10000000000000) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 8315787937497185/40564819207303340847894502572032) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.re -58000000000000000000) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 15057660889751/10384593717069655257060992658440192) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.re -210000000000000) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 5324132520958563/1267650600228229401496703205376) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.im -5539569662801113/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 2206763817411543/2251799813685248) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 y.re -7272897730801609/309485009821345068724781056) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 6944120419548559/11972621413014756705924586149611790497021399392059392) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.re -8475596558534171/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re -4018615215773601/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -1860949183597249/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 8596816502137183/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 x.im -7986907223269343/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 523316823800623/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (if (<=.f64 x.im 859999999999999929085348422178946585141534602153610083879887101940339533235638385006972445993143701129815008157224567458955898191918137344) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.im 14999999999999999267149386958852698080083740691779325049199875835860267585624938774917581833758510342143813173150707385060422379875828739638953603889414680990655549807560137501165854807343629336576) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))))
(if (<=.f64 y.re -189999999999999997729744419786063872) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 9999999999999999438119489974413630815797154428513196965888) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(if (<=.f64 y.re -2400000000000000067108864) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 5/4) (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(*.f64 (atan2.f64 x.im x.re) y.re)
Outputs
(if (<=.f64 x.re -10000000000000) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 8315787937497185/40564819207303340847894502572032) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.re -58000000000000000000) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 15057660889751/10384593717069655257060992658440192) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.re -210000000000000) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 5324132520958563/1267650600228229401496703205376) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.im -5539569662801113/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 2206763817411543/2251799813685248) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 y.re -7272897730801609/309485009821345068724781056) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 6944120419548559/11972621413014756705924586149611790497021399392059392) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.re -8475596558534171/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re -4018615215773601/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.re -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -1860949183597249/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 8596816502137183/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 x.im -7986907223269343/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x.im -1)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 523316823800623/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (if (<=.f64 x.im 859999999999999929085348422178946585141534602153610083879887101940339533235638385006972445993143701129815008157224567458955898191918137344) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.im 14999999999999999267149386958852698080083740691779325049199875835860267585624938774917581833758510342143813173150707385060422379875828739638953603889414680990655549807560137501165854807343629336576) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))))
(if (<=.f64 y.re -189999999999999997729744419786063872) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 9999999999999999438119489974413630815797154428513196965888) (*.f64 (atan2.f64 x.im x.re) (*.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(if (<=.f64 y.re -2400000000000000067108864) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 5/4) (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(*.f64 (atan2.f64 x.im x.re) y.re)
Compiler

Compiled 767 to 355 computations (53.7% saved)

soundness243.0ms (2%)

Algorithm
egg-herbie
Rules
3836×rational.json-simplify-33
3836×rational.json-simplify-33
3008×rational.json-simplify-1
3008×rational.json-simplify-1
624×rational.json-simplify-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03529752
17109752
211539648
319749648
420259648
520269648
620269648
731199648
831199648
936119648
1036119648
1144979648
1245779648
1345779648
1445819648
03529752
17109752
211539648
319749648
420259648
520269648
620269648
731199648
831199648
936119648
1036119648
1144979648
1245779648
1345779648
1445819648
Stop Event
saturated
saturated
Compiler

Compiled 126 to 62 computations (50.8% saved)

end140.0ms (1.2%)

Compiler

Compiled 723 to 188 computations (74% saved)

Profiling

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