Metrics for powComplex, real part

analyze474.0ms (2.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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
0%	0%	99.8%	0.2%	0%	0%	0%	6
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	8
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	9
34.4%	34.3%	65.5%	0.2%	0%	0%	0%	10
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	11
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	12

Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-mult: 145.0ms (50.4% of total)

ival-add: 25.0ms (8.7% of total)

ival-log: 25.0ms (8.7% of total)

ival-atan2: 24.0ms (8.3% of total)

ival-exp: 19.0ms (6.6% of total)

ival-sqrt: 19.0ms (6.6% of total)

ival-sub: 14.0ms (4.9% of total)

ival-cos: 14.0ms (4.9% of total)

const: 2.0ms (0.7% of total)

backward-pass: 1.0ms (0.3% of total)

sample3.2s (18.5%)

Results

1.5s	2893×	1	valid
1.1s	5363×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-mult: 816.0ms (37.4% of total)

ival-log: 527.0ms (24.2% of total)

ival-cos: 189.0ms (8.7% of total)

ival-atan2: 149.0ms (6.8% of total)

ival-add: 135.0ms (6.2% of total)

ival-sqrt: 106.0ms (4.9% of total)

ival-exp: 103.0ms (4.7% of total)

backward-pass: 91.0ms (4.2% of total)

ival-sub: 57.0ms (2.6% of total)

const: 8.0ms (0.4% of total)

Bogosity

preprocess162.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1536×	`fnmadd-define`
1128×	`sum5-define`
824×	`sum4-define`
806×	`sum3-define`
666×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	393
1	415	387
2	897	387
3	1725	387
4	3731	387
5	7533	387
0	19	25
1	41	25
2	79	25
3	116	25
4	178	25
5	284	25
6	459	25
7	746	25
8	1176	25
9	1723	25
10	2127	25
11	2304	25
12	2318	25
0	2318	25

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))

Outputs

(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))

(/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))

Call 2

Inputs
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
(* (exp (- (* (log (sqrt (+ (* (neg x.re) (neg x.re)) (* x.im x.im)))) y.re) (* (atan2 x.im (neg x.re)) y.im))) (cos (+ (* (log (sqrt (+ (* (neg x.re) (neg x.re)) (* x.im x.im)))) y.im) (* (atan2 x.im (neg x.re)) y.re))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* (neg x.im) (neg x.im))))) y.re) (* (atan2 (neg x.im) x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* (neg x.im) (neg x.im))))) y.im) (* (atan2 (neg x.im) x.re) y.re))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (neg y.re)) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) (neg y.re)))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) (neg y.im)))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (neg y.im)) (* (atan2 x.im x.re) y.re))))
(neg (* (exp (- (* (log (sqrt (+ (* (neg x.re) (neg x.re)) (* x.im x.im)))) y.re) (* (atan2 x.im (neg x.re)) y.im))) (cos (+ (* (log (sqrt (+ (* (neg x.re) (neg x.re)) (* x.im x.im)))) y.im) (* (atan2 x.im (neg x.re)) y.re)))))
(neg (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* (neg x.im) (neg x.im))))) y.re) (* (atan2 (neg x.im) x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* (neg x.im) (neg x.im))))) y.im) (* (atan2 (neg x.im) x.re) y.re)))))
(neg (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (neg y.re)) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) (neg y.re))))))
(neg (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) (neg y.im)))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (neg y.im)) (* (atan2 x.im x.re) y.re)))))
(* (exp (- (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.re) (* (atan2 x.re x.im) y.im))) (cos (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.re x.im) y.re))))
(* (exp (- (* (log (sqrt (+ (* y.re y.re) (* x.im x.im)))) x.re) (* (atan2 x.im y.re) y.im))) (cos (+ (* (log (sqrt (+ (* y.re y.re) (* x.im x.im)))) y.im) (* (atan2 x.im y.re) x.re))))
(* (exp (- (* (log (sqrt (+ (* y.im y.im) (* x.im x.im)))) y.re) (* (atan2 x.im y.im) x.re))) (cos (+ (* (log (sqrt (+ (* y.im y.im) (* x.im x.im)))) x.re) (* (atan2 x.im y.im) y.re))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* y.re y.re)))) x.im) (* (atan2 y.re x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* y.re y.re)))) y.im) (* (atan2 y.re x.re) x.im))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* y.im y.im)))) y.re) (* (atan2 y.im x.re) x.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* y.im y.im)))) x.im) (* (atan2 y.im x.re) y.re))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))))

Outputs
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
(* (/ (pow (hypot x.re x.im) y.re) (pow (exp y.im) (atan2 x.im x.re))) (cos (fma (log (hypot x.re x.im)) y.im (* y.re (atan2 x.im x.re)))))
(* (exp (- (* (log (sqrt (+ (* (neg x.re) (neg x.re)) (* x.im x.im)))) y.re) (* (atan2 x.im (neg x.re)) y.im))) (cos (+ (* (log (sqrt (+ (* (neg x.re) (neg x.re)) (* x.im x.im)))) y.im) (* (atan2 x.im (neg x.re)) y.re))))
(* (/ (pow (hypot x.re x.im) y.re) (pow (exp y.im) (atan2 x.im (neg x.re)))) (cos (fma (log (hypot x.re x.im)) y.im (* y.re (atan2 x.im (neg x.re))))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* (neg x.im) (neg x.im))))) y.re) (* (atan2 (neg x.im) x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* (neg x.im) (neg x.im))))) y.im) (* (atan2 (neg x.im) x.re) y.re))))
(* (/ (pow (hypot x.re x.im) y.re) (pow (exp y.im) (atan2 (neg x.im) x.re))) (cos (fma (log (hypot x.re x.im)) y.im (* y.re (atan2 (neg x.im) x.re)))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (neg y.re)) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) (neg y.re)))))
(* (exp (fnmsub (log (hypot x.re x.im)) y.re (* (atan2 x.im x.re) y.im))) (cos (fmsub (log (hypot x.re x.im)) y.im (* y.re (atan2 x.im x.re)))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) (neg y.im)))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (neg y.im)) (* (atan2 x.im x.re) y.re))))
(* (cos (fmsub (log (hypot x.re x.im)) y.im (* y.re (atan2 x.im x.re)))) (* (pow (exp y.im) (atan2 x.im x.re)) (pow (hypot x.re x.im) y.re)))
(neg (* (exp (- (* (log (sqrt (+ (* (neg x.re) (neg x.re)) (* x.im x.im)))) y.re) (* (atan2 x.im (neg x.re)) y.im))) (cos (+ (* (log (sqrt (+ (* (neg x.re) (neg x.re)) (* x.im x.im)))) y.im) (* (atan2 x.im (neg x.re)) y.re)))))
(* (cos (fma (log (hypot x.re x.im)) y.im (* y.re (atan2 x.im (neg x.re))))) (/ (pow (hypot x.re x.im) y.re) (neg (pow (exp y.im) (atan2 x.im (neg x.re))))))
(neg (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* (neg x.im) (neg x.im))))) y.re) (* (atan2 (neg x.im) x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* (neg x.im) (neg x.im))))) y.im) (* (atan2 (neg x.im) x.re) y.re)))))
(* (/ (pow (hypot x.re x.im) y.re) (pow (exp y.im) (atan2 (neg x.im) x.re))) (neg (cos (fma (log (hypot x.re x.im)) y.im (* y.re (atan2 (neg x.im) x.re))))))
(neg (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (neg y.re)) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) (neg y.re))))))
(* (exp (fnmsub (log (hypot x.re x.im)) y.re (* (atan2 x.im x.re) y.im))) (neg (cos (fmsub (log (hypot x.re x.im)) y.im (* y.re (atan2 x.im x.re))))))
(neg (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) (neg y.im)))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (neg y.im)) (* (atan2 x.im x.re) y.re)))))
(* (cos (fmsub (log (hypot x.re x.im)) y.im (* y.re (atan2 x.im x.re)))) (fnmadd (pow (exp y.im) (atan2 x.im x.re)) (pow (hypot x.re x.im) y.re) 0))
(* (exp (- (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.re) (* (atan2 x.re x.im) y.im))) (cos (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.re x.im) y.re))))
(* (/ (pow (hypot x.re x.im) y.re) (pow (exp y.im) (atan2 x.re x.im))) (cos (fma (log (hypot x.re x.im)) y.im (* y.re (atan2 x.re x.im)))))
(* (exp (- (* (log (sqrt (+ (* y.re y.re) (* x.im x.im)))) x.re) (* (atan2 x.im y.re) y.im))) (cos (+ (* (log (sqrt (+ (* y.re y.re) (* x.im x.im)))) y.im) (* (atan2 x.im y.re) x.re))))
(* (/ (pow (hypot x.im y.re) x.re) (pow (exp y.im) (atan2 x.im y.re))) (cos (fma y.im (log (hypot x.im y.re)) (* x.re (atan2 x.im y.re)))))
(* (exp (- (* (log (sqrt (+ (* y.im y.im) (* x.im x.im)))) y.re) (* (atan2 x.im y.im) x.re))) (cos (+ (* (log (sqrt (+ (* y.im y.im) (* x.im x.im)))) x.re) (* (atan2 x.im y.im) y.re))))
(* (/ (pow (hypot x.im y.im) y.re) (pow (exp x.re) (atan2 x.im y.im))) (cos (fma x.re (log (hypot x.im y.im)) (* y.re (atan2 x.im y.im)))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* y.re y.re)))) x.im) (* (atan2 y.re x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* y.re y.re)))) y.im) (* (atan2 y.re x.re) x.im))))
(* (pow (hypot x.re y.re) x.im) (/ (cos (fma y.im (log (hypot x.re y.re)) (* x.im (atan2 y.re x.re)))) (pow (exp y.im) (atan2 y.re x.re))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* y.im y.im)))) y.re) (* (atan2 y.im x.re) x.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* y.im y.im)))) x.im) (* (atan2 y.im x.re) y.re))))
(* (/ (pow (hypot x.re y.im) y.re) (pow (exp x.im) (atan2 y.im x.re))) (cos (fma x.im (log (hypot x.re y.im)) (* y.re (atan2 y.im x.re)))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))))
(* (/ (pow (hypot x.re x.im) y.im) (pow (exp y.re) (atan2 x.im x.re))) (cos (fnmsub (log (hypot x.re x.im)) y.re (* (atan2 x.im x.re) y.im))))

explain437.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
191	-	0	-	`(cos.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)))`
122	-	1	(-5.313662852193654e-161 -4.2729833746620125e-189 -2.6617112836341795e+264 -5.96455715475779e+47)	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`
3	-	0	-	`(*.f64 (atan2.f64 x.im x.re) y.im)`
2	-	0	-	`(*.f64 (atan2.f64 x.im x.re) y.re)`
1	-	0	-	`(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)))`
0	-	0	-	`(.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))) (cos.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	-	0	-	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	0	-	`y.im`
0	-	0	-	`y.re`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)`
0	-	0	-	`(*.f64 x.im x.im)`
0	-	0	-	`(+.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	-	0	-	`x.im`
0	-	0	-	`x.re`
0	-	0	-	`(-.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))`
0	-	0	-	`(*.f64 x.re x.re)`
0	-	0	-	`(atan2.f64 x.im x.re)`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`

Results

291.0ms	382×	1	valid
26.0ms	130×	0	valid

Compiler

Compiled 403 to 59 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-mult: 79.0ms (32.9% of total)

ival-log: 73.0ms (30.4% of total)

backward-pass: 27.0ms (11.2% of total)

ival-cos: 21.0ms (8.7% of total)

ival-atan2: 12.0ms (5% of total)

ival-add: 9.0ms (3.7% of total)

ival-sqrt: 8.0ms (3.3% of total)

ival-exp: 6.0ms (2.5% of total)

ival-sub: 4.0ms (1.7% of total)

const: 1.0ms (0.4% of total)

eval0.0ms (0%)

Compiler: Compiled 30 to 16 computations (46.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.1%	(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	42.3%	(.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))) (cos.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))))

Status

Accuracy

Program

▶

76.1%

(/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))

▶

42.3%

(*.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))) (cos.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 71 to 35 computations (50.7% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
✓	cost-diff	0	(+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
✓	cost-diff	0	(cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
✓	cost-diff	0	(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
✓	cost-diff	320	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
✓	cost-diff	320	(-.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))
✓	cost-diff	384	(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)))
✓	cost-diff	704	(.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))) (cos.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))))

Rules

596×	`fnmadd-define`
522×	`fma-define`
392×	`fmsub-define`
380×	`fma-lowering-fma.f32`
380×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	217
1	54	217
2	91	217
3	127	217
4	187	217
5	291	217
6	466	217
7	754	217
8	1181	217
9	1724	217
10	2128	217
11	2296	217
12	2310	217
0	2310	217

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
(exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)))
(- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
(log (sqrt (+ (* x.re x.re) (* x.im x.im))))
(sqrt (+ (* x.re x.re) (* x.im x.im)))
(+ (* x.re x.re) (* x.im x.im))
(* x.re x.re)
x.re
(* x.im x.im)
x.im
y.re
(* (atan2 x.im x.re) y.im)
(atan2 x.im x.re)
y.im
(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
(+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
(* (atan2 x.im x.re) y.re)
(/ (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re)))) (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))
(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re))))
(+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re)))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
(log (sqrt (+ (* x.re x.re) (* x.im x.im))))
(sqrt (+ (* x.re x.re) (* x.im x.im)))
x.re
x.im
y.im
(* y.re (atan2 x.im x.re))
y.re
(atan2 x.im x.re)
(/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re))
(exp (* (atan2 x.im x.re) y.im))
(* (atan2 x.im x.re) y.im)
(pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)

Outputs
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))
(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
(log (sqrt (+ (* x.re x.re) (* x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt (+ (* x.re x.re) (* x.im x.im)))
(hypot.f64 x.re x.im)
(+ (* x.re x.re) (* x.im x.im))
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* x.im x.im)
(*.f64 x.im x.im)
x.im
y.re
(* (atan2 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
y.im
(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
(cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))
(+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
(* (atan2 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(/ (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re)))) (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))
(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re)))
(+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
(log (sqrt (+ (* x.re x.re) (* x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt (+ (* x.re x.re) (* x.im x.im)))
(hypot.f64 x.re x.im)
x.re
x.im
y.im
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
(/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re))
(/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))
(exp (* (atan2 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(* (atan2 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)
(pow.f64 (hypot.f64 x.re x.im) y.re)

localize954.0ms (5.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
✓	accuracy	99.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	accuracy	99.9%	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
✓	accuracy	99.9%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	99.9%	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
✓	accuracy	99.9%	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	accuracy	99.9%	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
✓	accuracy	91.3%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Results

866.0ms	177×	5	exit
22.0ms	58×	0	valid
7.0ms	21×	0	unsamplable

Compiler

Compiled 285 to 30 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 755.0ms

ival-log: 226.0ms (29.9% of total)

ival-cos: 169.0ms (22.4% of total)

ival-atan2: 136.0ms (18% of total)

ival-mult: 61.0ms (8.1% of total)

backward-pass: 55.0ms (7.3% of total)

ival-pow: 36.0ms (4.8% of total)

compiled-spec: 19.0ms (2.5% of total)

ival-add: 16.0ms (2.1% of total)

ival-exp: 12.0ms (1.6% of total)

ival-sqrt: 11.0ms (1.5% of total)

ival-div: 10.0ms (1.3% of total)

ival-sub: 4.0ms (0.5% of total)

const: 0.0ms (0% of total)

series199.0ms (1.1%)

Counts

13 → 528

Calls

Call 1

Inputs
#<alt (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))>
#<alt (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)))>
#<alt (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))>
#<alt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)>
#<alt (/ (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re)))) (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))>
#<alt (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re))))>
#<alt (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re)))>
#<alt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)>
#<alt (sqrt (+ (* x.re x.re) (* x.im x.im)))>
#<alt (* (atan2 x.im x.re) y.re)>
#<alt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* (atan2 x.im x.re) y.im)>

Outputs
#<alt (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))>
#<alt (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))) (pow x.im 4))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))>
#<alt (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))) (pow x.im 4))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (+ (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))))) (pow x.im 2))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* 1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6)))))))))))))))))))>
#<alt (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))))>
#<alt (+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (* y.re (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* -1/4 (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))) (pow x.re 4)))))))>
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#<alt (* -1 (* y.im (- (* -1 (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im)) (* -1 (atan2 x.im x.re)))))>
#<alt (* -1 (* y.im (- (* -1 (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im)) (* -1 (atan2 x.im x.re)))))>
#<alt (* y.re (log x.im))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))) (* y.re (log x.im)))>
#<alt (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2))))))>
#<alt (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6))))))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
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#<alt (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))>
#<alt (* -1 (* y.re (log (/ -1 x.re))))>
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#<alt (* y.re (log x.re))>
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#<alt (* -1 (* y.re (log (/ 1 x.im))))>
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#<alt (* -1 (* y.re (log (/ -1 x.im))))>
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#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
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#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
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#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (/ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ 1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ 1 x.re)))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ 1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))))>
#<alt (+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (* y.re (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ 1 x.re)))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ 1 x.re)))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (- (* -1/8 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* -1/4 (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re))))))))))>
#<alt (+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (* (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))))) (* (pow x.re 6) (exp (* y.im (atan2 x.im x.re)))))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (* y.re (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ 1 x.re)))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (- (* -1/8 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* -1/4 (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))))) (* (pow x.re 6) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ 1 x.re)))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re))))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3))))))) (* (pow x.re 6) (exp (* y.im (atan2 x.im x.re))))) (+ (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (- (* -1/8 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* -1/4 (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (- (* 1/8 (* (pow x.im 6) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (* (pow x.im 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))))))) (* (pow x.re 6) (exp (* y.im (atan2 x.im x.re))))))))))))))>
#<alt (/ (* (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ 1 x.im)))))) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (+ (* -1/2 (/ (* (pow x.re 2) (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (* y.re (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ 1 x.im)))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (- (* -1/8 (* (pow x.re 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re))))))) (* -1/4 (* (pow x.re 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re))))))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))))))))>
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#<alt (/ (* (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))) (exp (* -1 (* y.re (log (/ -1 x.im)))))) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.im) (pow x.re 4))) (* 1/2 (/ y.im (pow x.re 2))))))>
#<alt (+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.im (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.im (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.im) (pow x.re 6))))))))>
#<alt (* -1 (* y.im (log (/ 1 x.im))))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2)))))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))))>
#<alt (* -1 (* y.im (log (/ -1 x.im))))>
#<alt (+ (* -1 (* y.im (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))>
#<alt (+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2)))))>
#<alt (+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt x.im>
#<alt (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))>
#<alt (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))>
#<alt (+ x.im (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/16 (/ (pow x.re 2) (pow x.im 5))) (* 1/8 (/ 1 (pow x.im 3))))) (* 1/2 (/ 1 x.im)))))>
#<alt x.re>
#<alt (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 x.re)>
#<alt (* -1 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))>
#<alt x.re>
#<alt (+ x.re (* 1/2 (/ (pow x.im 2) x.re)))>
#<alt (+ x.re (* (pow x.im 2) (+ (* -1/8 (/ (pow x.im 2) (pow x.re 3))) (* 1/2 (/ 1 x.re)))))>
#<alt (+ x.re (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/16 (/ (pow x.im 2) (pow x.re 5))) (* 1/8 (/ 1 (pow x.re 3))))) (* 1/2 (/ 1 x.re)))))>
#<alt x.im>
#<alt (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 x.im)>
#<alt (* -1 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.im (log x.im))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.im (log x.im)))>
#<alt (+ (* y.im (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.im) (pow x.im 4))) (* 1/2 (/ y.im (pow x.im 2))))))>
#<alt (+ (* y.im (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.im (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.im (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.im) (pow x.im 6))))))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2)))))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))))>
#<alt (* -1 (* y.im (log (/ -1 x.re))))>
#<alt (+ (* -1 (* y.im (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))>
#<alt (+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2)))))>
#<alt (+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))))>
#<alt (* y.im (log x.re))>
#<alt (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.im (log x.re)))>
#<alt (+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.im) (pow x.re 4))) (* 1/2 (/ y.im (pow x.re 2))))))>
#<alt (+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.im (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.im (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.im) (pow x.re 6))))))))>
#<alt (* -1 (* y.im (log (/ 1 x.im))))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2)))))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))))>
#<alt (* -1 (* y.im (log (/ -1 x.im))))>
#<alt (+ (* -1 (* y.im (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))>
#<alt (+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2)))))>
#<alt (+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>

Calls

132 calls:

Time	Variable		Point	Expression
51.0ms	y.re	@	0	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
13.0ms	y.re	@	0	(- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))
12.0ms	x.im	@	0	(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
8.0ms	y.im	@	inf	(/ (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re)))) (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))
8.0ms	x.im	@	inf	(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))

rewrite355.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

3754×	`-lowering-.f32`
3754×	`-lowering-.f64`
2548×	`/-lowering-/.f32`
2548×	`/-lowering-/.f64`
2094×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	132
1	147	132
2	931	132
0	8360	132

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 410

Calls

Call 1

Inputs
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
(exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)))
(- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
(/ (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re)))) (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))
(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re))))
(+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re)))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
(sqrt (+ (* x.re x.re) (* x.im x.im)))
(* (atan2 x.im x.re) y.re)
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
(* y.re (atan2 x.im x.re))
(* (atan2 x.im x.re) y.im)

Outputs
(+.f64 (/.f64 (cos.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (/.f64 (cos.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))))) (.f64 (+.f64 (.f64 (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))) (sqrt.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(/.f64 (neg.f64 (hypot.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im x.im)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(.f64 (hypot.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im x.im))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im x.im))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))))
(.f64 (hypot.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal 1/4 binary64)))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)
(.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))

simplify484.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

6762×	`-lowering-.f32`
6762×	`-lowering-.f64`
3228×	`+-lowering-+.f64`
3228×	`+-lowering-+.f32`
2218×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1603	23341
1	5861	19892
0	8629	19892

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))
(+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
(+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))) (pow x.im 4))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))
(+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))) (pow x.im 4))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (+ (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))))) (pow x.im 2))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* 1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6)))))))))))))))))))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
(+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))))
(+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (* y.re (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* -1/4 (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))) (pow x.re 4)))))))
(+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (* (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))))) (pow x.re 6))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (* y.re (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* -1/4 (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))))) (pow x.re 6))) (+ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4)) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3))))))) (pow x.re 6)) (+ (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* -1/4 (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (- (* 1/8 (* (pow x.im 6) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (* (pow x.im 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))))))) (pow x.re 6)))))))))))
(* (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (* (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))))
(+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (* y.re (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* -1/4 (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re))))))))) (pow x.re 4)))))))
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(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))
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(* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (neg (* y.im (atan2 x.im x.re)))))
(+ (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (neg (* y.im (atan2 x.im x.re))))))
(+ (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))) (+ (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re))))) (+ (* -1/2 (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (atan2 x.im x.re) 2)))) (* 1/2 (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (neg (* y.im (atan2 x.im x.re))))))
(+ (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))) (+ (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re))))) (+ (* -1/2 (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (atan2 x.im x.re) 2)))) (+ (* 1/2 (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)))) (* y.re (+ (* -1/2 (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (atan2 x.im x.re) 2))))) (+ (* -1/2 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re))))) (+ (* 1/6 (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))) (* 1/6 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 3)))))))))))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (neg (* y.im (atan2 x.im x.re))))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* -1 (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
(+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* -1 (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* y.im (+ (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
(+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* -1 (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* y.im (+ (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* y.im (+ (* -1/2 (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (+ (* -1/6 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/6 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))
(+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))))))
(+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))) (* (pow x.re 2) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))))))))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (+ (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (pow x.re 6)))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (+ (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (pow x.re 6)))))
(exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))
(+ (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))) (pow x.re 2))) (* (pow x.im 2) (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))))))))
(+ (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))) (pow x.re 2))) (* (pow x.im 2) (+ (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4))))) (* (pow x.im 2) (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))))))))))
(exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (+ (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4)) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3)))))) (pow x.im 6)))))
(exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (+ (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4)) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3)))))) (pow x.im 6)))))
(exp (neg (* y.im (atan2 x.im x.re))))
(+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))
(+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (+ (* 1/2 (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
(+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (+ (* y.re (+ (* 1/6 (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))) (* 1/2 (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)
(+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* y.im (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* y.im (+ (* -1/6 (* y.im (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))
(- (+ (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))) (* y.re (log x.im))) (* y.im (atan2 x.im x.re)))
(- (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2)))))) (* y.im (atan2 x.im x.re)))
(- (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6)))))))) (* y.im (atan2 x.im x.re)))
(- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))) (* y.im (atan2 x.im x.re)))
(- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))) (* y.im (atan2 x.im x.re)))
(- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))
(- (+ (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))) (* y.re (log x.re))) (* y.im (atan2 x.im x.re)))
(- (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.re) (pow x.re 4))) (* 1/2 (/ y.re (pow x.re 2)))))) (* y.im (atan2 x.im x.re)))
(- (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.re (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.re) (pow x.re 6)))))))) (* y.im (atan2 x.im x.re)))
(- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))) (* y.im (atan2 x.im x.re)))
(- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))) (* y.im (atan2 x.im x.re)))
(* -1 (* y.im (atan2 x.im x.re)))
(- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))
(- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))
(- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1 (/ (* y.im (atan2 x.im x.re)) y.re))))
(* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1 (/ (* y.im (atan2 x.im x.re)) y.re))))
(* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1 (/ (* y.im (atan2 x.im x.re)) y.re))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* -1 (* y.re (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ (* y.im (atan2 x.im x.re)) y.re))))
(* -1 (* y.re (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ (* y.im (atan2 x.im x.re)) y.re))))
(* -1 (* y.re (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ (* y.im (atan2 x.im x.re)) y.re))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(+ (* -1 (* y.im (atan2 x.im x.re))) (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(+ (* -1 (* y.im (atan2 x.im x.re))) (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(+ (* -1 (* y.im (atan2 x.im x.re))) (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(* -1 (* y.im (atan2 x.im x.re)))
(* y.im (- (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im) (atan2 x.im x.re)))
(* y.im (- (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im) (atan2 x.im x.re)))
(* y.im (- (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im) (atan2 x.im x.re)))
(* -1 (* y.im (atan2 x.im x.re)))
(* -1 (* y.im (- (* -1 (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im)) (* -1 (atan2 x.im x.re)))))
(* -1 (* y.im (- (* -1 (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im)) (* -1 (atan2 x.im x.re)))))
(* -1 (* y.im (- (* -1 (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im)) (* -1 (atan2 x.im x.re)))))
(* y.re (log x.im))
(+ (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))) (* y.re (log x.im)))
(+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2))))))
(+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6))))))))
(* -1 (* y.re (log (/ 1 x.re))))
(+ (* -1 (* y.re (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))
(+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))
(+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))
(* -1 (* y.re (log (/ -1 x.re))))
(+ (* -1 (* y.re (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))
(+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))
(+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))
(* y.re (log x.re))
(+ (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))) (* y.re (log x.re)))
(+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.re) (pow x.re 4))) (* 1/2 (/ y.re (pow x.re 2))))))
(+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.re (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.re) (pow x.re 6))))))))
(* -1 (* y.re (log (/ 1 x.im))))
(+ (* -1 (* y.re (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))
(+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))
(+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))
(* -1 (* y.re (log (/ -1 x.im))))
(+ (* -1 (* y.re (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))
(+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))
(+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(/ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re))))
(+ (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))))) (/ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))))
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(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
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(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
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(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
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(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))
(+ (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* -1/2 (/ (* (pow x.re 2) (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))
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(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
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(cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re))))
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(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
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(cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re))))
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(cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re))))
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(cos (* y.re (atan2 x.im x.re)))
(+ (cos (* y.re (atan2 x.im x.re))) (* -1 (* y.im (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (sin (* y.re (atan2 x.im x.re)))))))
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(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(+ (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* -1 (* y.re (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))
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(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))
(+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))
(+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))
(+ (* y.im (log x.im)) (+ (* y.re (atan2 x.im x.re)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.im) (pow x.im 4))) (* 1/2 (/ y.im (pow x.im 2)))))))
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(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.re (atan2 x.im x.re))))
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(+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.re (atan2 x.im x.re))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.re (atan2 x.im x.re)))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.re (atan2 x.im x.re))))))
(+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))
(+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(+ (* y.im (log x.re)) (+ (* y.re (atan2 x.im x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.im) (pow x.re 4))) (* 1/2 (/ y.im (pow x.re 2)))))))
(+ (* y.im (log x.re)) (+ (* y.re (atan2 x.im x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.im (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.im (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.im) (pow x.re 6)))))))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.re (atan2 x.im x.re))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.re (atan2 x.im x.re)))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.re (atan2 x.im x.re))))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.re (atan2 x.im x.re))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.re (atan2 x.im x.re)))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.re (atan2 x.im x.re))))))
(* y.re (atan2 x.im x.re))
(+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))
(+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))
(+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))
(* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))
(* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))
(* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))
(* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))
(+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))
(+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))
(* y.re (atan2 x.im x.re))
(* y.re (+ (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re) (atan2 x.im x.re)))
(* y.re (+ (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re) (atan2 x.im x.re)))
(* y.re (+ (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re) (atan2 x.im x.re)))
(* y.re (atan2 x.im x.re))
(* -1 (* y.re (+ (* -1 (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re)) (* -1 (atan2 x.im x.re)))))
(* -1 (* y.re (+ (* -1 (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re)) (* -1 (atan2 x.im x.re)))))
(* -1 (* y.re (+ (* -1 (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re)) (* -1 (atan2 x.im x.re)))))
(* y.im (log x.im))
(+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.im (log x.im)))
(+ (* y.im (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.im) (pow x.im 4))) (* 1/2 (/ y.im (pow x.im 2))))))
(+ (* y.im (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.im (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.im (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.im) (pow x.im 6))))))))
(* -1 (* y.im (log (/ 1 x.re))))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2)))))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))))
(* -1 (* y.im (log (/ -1 x.re))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2)))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))))
(* y.im (log x.re))
(+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.im (log x.re)))
(+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.im) (pow x.re 4))) (* 1/2 (/ y.im (pow x.re 2))))))
(+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.im (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.im (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.im) (pow x.re 6))))))))
(* -1 (* y.im (log (/ 1 x.im))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2)))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))))
(* -1 (* y.im (log (/ -1 x.im))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2)))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
x.im
(+ x.im (* 1/2 (/ (pow x.re 2) x.im)))
(+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))
(+ x.im (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/16 (/ (pow x.re 2) (pow x.im 5))) (* 1/8 (/ 1 (pow x.im 3))))) (* 1/2 (/ 1 x.im)))))
x.re
(* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))
(* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
(* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 x.re)
(* -1 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))
x.re
(+ x.re (* 1/2 (/ (pow x.im 2) x.re)))
(+ x.re (* (pow x.im 2) (+ (* -1/8 (/ (pow x.im 2) (pow x.re 3))) (* 1/2 (/ 1 x.re)))))
(+ x.re (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/16 (/ (pow x.im 2) (pow x.re 5))) (* 1/8 (/ 1 (pow x.re 3))))) (* 1/2 (/ 1 x.re)))))
x.im
(* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 x.im)
(* -1 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.im (log x.im))
(+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.im (log x.im)))
(+ (* y.im (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.im) (pow x.im 4))) (* 1/2 (/ y.im (pow x.im 2))))))
(+ (* y.im (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.im (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.im (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.im) (pow x.im 6))))))))
(* -1 (* y.im (log (/ 1 x.re))))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2)))))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))))
(* -1 (* y.im (log (/ -1 x.re))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2)))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))))
(* y.im (log x.re))
(+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.im (log x.re)))
(+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.im) (pow x.re 4))) (* 1/2 (/ y.im (pow x.re 2))))))
(+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.im (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.im (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.im) (pow x.re 6))))))))
(* -1 (* y.im (log (/ 1 x.im))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2)))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))))
(* -1 (* y.im (log (/ -1 x.im))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2)))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))

Outputs
(* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
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(+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))) (pow x.im 4))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))
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(+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))) (pow x.im 4))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (+ (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))))) (pow x.im 2))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* 1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6)))))))))))))))))))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (.f64 x.re x.re) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 x.im x.im)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y.re (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (.f64 x.im x.im))) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 y.im y.re) (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (pow.f64 x.im #s(literal 4 binary64))) (+.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) y.re) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 y.re y.re)) (pow.f64 x.im #s(literal 4 binary64)))))) (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im y.im))) (pow.f64 x.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64))))))) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y.im (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) y.re) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 y.re y.re)) (pow.f64 x.im #s(literal 4 binary64))))))) (.f64 x.im x.im)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im y.im))) (pow.f64 x.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))))) (.f64 x.im x.im)) (+.f64 (.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y.re y.re)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/48 binary64) (.f64 y.re (.f64 y.re y.re))) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 6 binary64))))))) (/.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im y.im))) (pow.f64 x.im #s(literal 6 binary64))) (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 #s(literal -1/48 binary64) (.f64 y.im (.f64 y.im y.im))) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.im #s(literal 6 binary64))))))) (pow.f64 x.im y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))))))))))))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.re))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))))
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(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.re (atan2 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))

eval141.0ms (0.8%)

Compiler: Compiled 65919 to 3507 computations (94.7% saved)

prune146.0ms (0.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1007	20	1027
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1009	20	1029

Accuracy

95.4%

Counts

1029 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.6%	(/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))
	25.6%	(/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y.im (.f64 x.re x.re)) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 x.im x.im))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	63.7%	(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y.im) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	76.5%	(/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 #s(literal -1 binary64) y.re) (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	62.5%	(/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y.re) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	36.8%	(/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
	73.7%	(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	77.3%	(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	54.7%	(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
	32.5%	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.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))))
	18.7%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.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))))
	23.8%	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	28.3%	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	35.6%	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	39.1%	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.re))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))))
	35.2%	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))))
	32.5%	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))))
	32.5%	(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
▶	56.7%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	33.7%	(neg.f64 (/.f64 (cos.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))))))

Compiler

Compiled 1432 to 786 computations (45.1% saved)

simplify145.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
✓	cost-diff	320	(-.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))
✓	cost-diff	384	(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)))
✓	cost-diff	384	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	cost-diff	256	(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (*.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.re))))
✓	cost-diff	256	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (*.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.re)))))
✓	cost-diff	320	(exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re))))
✓	cost-diff	576	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.re))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))))
✓	cost-diff	0	(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re)))
✓	cost-diff	0	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
✓	cost-diff	0	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re y.re))
✓	cost-diff	0	(/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
✓	cost-diff	0	(atan2.f64 x.im x.re)
✓	cost-diff	0	(*.f64 y.re (atan2.f64 x.im x.re))
✓	cost-diff	0	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓	cost-diff	0	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
✓	cost-diff	0	(log.f64 (hypot.f64 x.im x.re))
✓	cost-diff	0	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
✓	cost-diff	0	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))

Rules

938×	`fnmadd-define`
808×	`fmsub-define`
796×	`fma-lowering-fma.f32`
796×	`fma-lowering-fma.f64`
774×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	466
1	138	460
2	243	454
3	418	454
4	721	454
5	1386	454
6	2634	454
7	4015	454
8	4318	454
9	4365	454
10	4388	454
11	4408	454
12	4416	454
0	4416	454

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (cos (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))) (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))
(cos (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))
(* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))
y.im
(log (sqrt (+ (* x.im x.im) (* x.re x.re))))
(sqrt (+ (* x.im x.im) (* x.re x.re)))
x.im
x.re
(/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re))
(exp (* (atan2 x.im x.re) y.im))
(* (atan2 x.im x.re) y.im)
(atan2 x.im x.re)
(pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)
(sqrt (+ (* x.re x.re) (* x.im x.im)))
y.re
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re))
(cos (* y.re (atan2 x.im x.re)))
(* y.re (atan2 x.im x.re))
y.re
(atan2 x.im x.re)
x.im
x.re
(pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re)
(sqrt (+ (* x.im x.im) (* x.re x.re)))
(/ (* (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))
(* (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))) (pow x.re y.re))
(cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re))))
(+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))
(* y.re (atan2 x.im x.re))
y.re
(atan2 x.im x.re)
x.im
x.re
(* y.im (log x.re))
y.im
(log x.re)
(pow x.re y.re)
(exp (* y.im (atan2 x.im x.re)))
(* y.im (atan2 x.im x.re))
(* (cos (+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re))))) (exp (- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re)))))
(cos (+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re)))))
(+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re))))
(* y.re (atan2 x.im x.re))
y.re
(atan2 x.im x.re)
x.im
x.re
(* (* -1 y.im) (log (/ 1 x.re)))
(* -1 y.im)
-1
y.im
(log (/ 1 x.re))
(/ 1 x.re)
1
(exp (- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re))))
(- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re)))
(* (* -1 y.re) (log (/ 1 x.re)))
(* -1 y.re)
(* y.im (atan2 x.im x.re))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im) (* (atan2 x.im x.re) y.re))))
(exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)))
(- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
(log (sqrt (+ (* x.re x.re) (* x.im x.im))))
(sqrt (+ (* x.re x.re) (* x.im x.im)))
(+ (* x.re x.re) (* x.im x.im))
(* x.re x.re)
x.re
(* x.im x.im)
x.im
y.re
(* (atan2 x.im x.re) y.im)
(atan2 x.im x.re)
y.im
(cos (+ (* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im) (* (atan2 x.im x.re) y.re)))
(+ (* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im) (* (atan2 x.im x.re) y.re))
(* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im)
(log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im)))
(+ x.im (/ (* 1/2 (* x.re x.re)) x.im))
(/ (* 1/2 (* x.re x.re)) x.im)
(* 1/2 (* x.re x.re))
1/2
(* (atan2 x.im x.re) y.re)

Outputs
(/ (cos (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))) (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))
(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(cos (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
y.im
(log (sqrt (+ (* x.im x.im) (* x.re x.re))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt (+ (* x.im x.im) (* x.re x.re)))
(hypot.f64 x.im x.re)
x.im
x.re
(/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re))
(/.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(exp (* (atan2 x.im x.re) y.im))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(* (atan2 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
(pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)
(pow.f64 (hypot.f64 x.im x.re) y.re)
(sqrt (+ (* x.re x.re) (* x.im x.im)))
(hypot.f64 x.im x.re)
y.re
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
(* y.re (atan2 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
y.re
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
x.im
x.re
(pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re)
(pow.f64 (hypot.f64 x.im x.re) y.re)
(sqrt (+ (* x.im x.im) (* x.re x.re)))
(hypot.f64 x.im x.re)
(/ (* (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))
(/.f64 (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))) (/.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)))
(* (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))) (pow x.re y.re))
(.f64 (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re y.re))
(cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re))))
(cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))))
(+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))
(+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))
(* y.re (atan2 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
y.re
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
x.im
x.re
(* y.im (log x.re))
(*.f64 y.im (log.f64 x.re))
y.im
(log x.re)
(log.f64 x.re)
(pow x.re y.re)
(pow.f64 x.re y.re)
(exp (* y.im (atan2 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* (cos (+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re))))) (exp (- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re)))))
(/.f64 (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))) (/.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)))
(cos (+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re)))))
(cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))))
(+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re))))
(+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))
(* y.re (atan2 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
y.re
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
x.im
x.re
(* (* -1 y.im) (log (/ 1 x.re)))
(*.f64 y.im (log.f64 x.re))
(* -1 y.im)
(-.f64 #s(literal 0 binary64) y.im)
-1
#s(literal -1 binary64)
y.im
(log (/ 1 x.re))
(log.f64 (/.f64 #s(literal 1 binary64) x.re))
(/ 1 x.re)
(/.f64 #s(literal 1 binary64) x.re)
1
#s(literal 1 binary64)
(exp (- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re))))
(/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))
(* (* -1 y.re) (log (/ 1 x.re)))
(*.f64 y.re (log.f64 x.re))
(* -1 y.re)
(-.f64 #s(literal 0 binary64) y.re)
(* y.im (atan2 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im) (* (atan2 x.im x.re) y.re))))
(/.f64 (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 (+.f64 x.im (/.f64 #s(literal 1/2 binary64) (/.f64 x.im (.f64 x.re x.re)))))))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re)))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(log (sqrt (+ (* x.re x.re) (* x.im x.im))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt (+ (* x.re x.re) (* x.im x.im)))
(hypot.f64 x.im x.re)
(+ (* x.re x.re) (* x.im x.im))
(+.f64 (.f64 x.im x.im) (.f64 x.re x.re))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* x.im x.im)
(*.f64 x.im x.im)
x.im
y.re
(* (atan2 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
y.im
(cos (+ (* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im) (* (atan2 x.im x.re) y.re)))
(cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 (+.f64 x.im (/.f64 #s(literal 1/2 binary64) (/.f64 x.im (*.f64 x.re x.re))))))))
(+ (* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im) (* (atan2 x.im x.re) y.re))
(+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 (+.f64 x.im (/.f64 #s(literal 1/2 binary64) (/.f64 x.im (*.f64 x.re x.re)))))))
(* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im)
(.f64 y.im (log.f64 (+.f64 x.im (/.f64 #s(literal 1/2 binary64) (/.f64 x.im (.f64 x.re x.re))))))
(log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im)))
(log.f64 (+.f64 x.im (/.f64 #s(literal 1/2 binary64) (/.f64 x.im (*.f64 x.re x.re)))))
(+ x.im (/ (* 1/2 (* x.re x.re)) x.im))
(+.f64 x.im (/.f64 #s(literal 1/2 binary64) (/.f64 x.im (*.f64 x.re x.re))))
(/ (* 1/2 (* x.re x.re)) x.im)
(/.f64 #s(literal 1/2 binary64) (/.f64 x.im (*.f64 x.re x.re)))
(* 1/2 (* x.re x.re))
(.f64 x.re (.f64 x.re #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* (atan2 x.im x.re) y.re)
(*.f64 (atan2.f64 x.im x.re) y.re)

localize579.0ms (3.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(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)))
✓	accuracy	99.5%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
✓	accuracy	98.2%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	accuracy	98.1%	(log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)))
✓	accuracy	100.0%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.re)))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.re)))
✓	accuracy	99.9%	(exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re))))
✓	accuracy	100.0%	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
✓	accuracy	100.0%	(*.f64 y.im (atan2.f64 x.im x.re))
✓	accuracy	100.0%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	100.0%	(*.f64 y.im (log.f64 x.re))
✓	accuracy	100.0%	(atan2.f64 x.im x.re)
✓	accuracy	100.0%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
✓	accuracy	100.0%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓	accuracy	100.0%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	100.0%	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
✓	accuracy	100.0%	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
✓	accuracy	100.0%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	accuracy	100.0%	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))

Results

234.0ms	48×	5	exit
152.0ms	169×	0	invalid
15.0ms	21×	0	unsamplable
10.0ms	4×	1	unsamplable
10.0ms	14×	0	valid

Compiler

Compiled 559 to 60 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

ival-mult: 67.0ms (21.7% of total)

ival-log: 47.0ms (15.2% of total)

backward-pass: 32.0ms (10.4% of total)

ival-sub: 31.0ms (10% of total)

ival-cos: 31.0ms (10% of total)

ival-pow: 31.0ms (10% of total)

compiled-spec: 24.0ms (7.8% of total)

ival-add: 12.0ms (3.9% of total)

ival-div: 11.0ms (3.6% of total)

ival-exp: 10.0ms (3.2% of total)

ival-sqrt: 8.0ms (2.6% of total)

ival-atan2: 4.0ms (1.3% of total)

const: 1.0ms (0.3% of total)

series381.0ms (2.2%)

Counts

29 → 1092

Calls

Call 1

Inputs
#<alt (/ (cos (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))) (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))>
#<alt (cos (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))>
#<alt (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))>
#<alt (log (sqrt (+ (* x.im x.im) (* x.re x.re))))>
#<alt (* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re))>
#<alt (cos (* y.re (atan2 x.im x.re)))>
#<alt (* y.re (atan2 x.im x.re))>
#<alt (atan2 x.im x.re)>
#<alt (/ (* (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (* (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))) (pow x.re y.re))>
#<alt (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re))))>
#<alt (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))>
#<alt (* (cos (+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re))))) (exp (- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re)))))>
#<alt (exp (- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re))))>
#<alt (cos (+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re)))))>
#<alt (+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re))))>
#<alt (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im) (* (atan2 x.im x.re) y.re))))>
#<alt (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)))>
#<alt (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))>
#<alt (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)>
#<alt (* (atan2 x.im x.re) y.im)>
#<alt (exp (* (atan2 x.im x.re) y.im))>
#<alt (* y.im (log x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* (* -1 y.re) (log (/ 1 x.re)))>
#<alt (* (* -1 y.im) (log (/ 1 x.re)))>
#<alt (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im)))>
#<alt (sqrt (+ (* x.re x.re) (* x.im x.im)))>
#<alt (/ (* 1/2 (* x.re x.re)) x.im)>

Outputs
#<alt (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)>
#<alt (+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))>
#<alt (+ (* y.im (- (* y.im (- (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))>
#<alt (+ (* y.im (- (* y.im (- (+ (* -1 (* y.im (+ (* -1/2 (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (+ (* 1/6 (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* (- (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (atan2 x.im x.re)))))) (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))>
#<alt (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (* (cos (* y.im (log x.re))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* (pow x.im 2) (+ (* -1/2 (/ (* y.im (* (sin (* y.im (log x.re))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* 1/2 (/ (* y.re (* (cos (* y.im (log x.re))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))))) (/ (* (cos (* y.im (log x.re))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* (pow x.im 2) (+ (* -1/2 (/ (* y.im (* (sin (* y.im (log x.re))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (cos (* y.im (log x.re))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.im 2) (+ (* -1/4 (/ (* y.im (* y.re (* (sin (* y.im (log x.re))) (pow x.re y.re)))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (* y.im (log x.re))) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.re)))) (pow x.re 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.re)))) (pow x.re 4)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))))))) (/ (* (cos (* y.im (log x.re))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* (pow x.im 2) (+ (* -1/2 (/ (* y.im (* (sin (* y.im (log x.re))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (cos (* y.im (log x.re))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.im 2) (+ (* -1/4 (/ (* y.im (* y.re (* (sin (* y.im (log x.re))) (pow x.re y.re)))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* (pow x.im 2) (+ (* -1/2 (/ (* y.im (* (sin (* y.im (log x.re))) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re)))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.re)))) (pow x.re 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.re)))) (pow x.re 4)))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (* y.im (log x.re))) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (- (* 1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.re)))) (pow x.re 6))) (* (sin (* y.im (log x.re))) (+ (* -1/48 (/ (pow y.im 3) (pow x.re 6))) (* 1/6 (/ y.im (pow x.re 6)))))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))))) (+ (/ (* (cos (* y.im (log x.re))) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.re)))) (pow x.re 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.re)))) (pow x.re 4)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))))))))) (/ (* (cos (* y.im (log x.re))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (/ (* (cos (* -1 (* y.im (log (/ 1 x.im))))) (exp (* -1 (* y.re (log (/ 1 x.im)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* -1/2 (/ (* (pow x.re 2) (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (sin (* -1 (* y.im (log (/ 1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* -1 (* y.im (log (/ 1 x.im))))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (cos (* -1 (* y.im (log (/ 1 x.im))))) (exp (* -1 (* y.re (log (/ 1 x.im)))))) (exp (* y.im (atan2 x.im x.re))))))>
#<alt (+ (* -1/2 (/ (* (pow x.re 2) (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (sin (* -1 (* y.im (log (/ 1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (* y.re (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (sin (* -1 (* y.im (log (/ 1 x.im))))))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* -1 (* y.im (log (/ 1 x.im))))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (* -1 (* y.im (log (/ 1 x.im))))) (exp (* -1 (* y.re (log (/ 1 x.im)))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (cos (* -1 (* y.im (log (/ 1 x.im))))) (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (- (* -1/8 (* (pow x.re 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ 1 x.im)))))))) (* -1/4 (* (pow x.re 4) (* y.im (sin (* -1 (* y.im (log (/ 1 x.im)))))))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))))))))>
#<alt (+ (* -1/2 (/ (* (pow x.re 2) (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (sin (* -1 (* y.im (log (/ 1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* -1/2 (/ (* (pow x.re 2) (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (* (sin (* -1 (* y.im (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re)))))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (* y.re (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (sin (* -1 (* y.im (log (/ 1 x.im))))))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* -1 (* y.im (log (/ 1 x.im))))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (- (* -1/8 (* (pow x.re 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ 1 x.im)))))))) (* -1/4 (* (pow x.re 4) (* y.im (sin (* -1 (* y.im (log (/ 1 x.im)))))))))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (* -1 (* y.im (log (/ 1 x.im))))) (exp (* -1 (* y.re (log (/ 1 x.im)))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (cos (* -1 (* y.im (log (/ 1 x.im))))) (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (+ (/ (* (cos (* -1 (* y.im (log (/ 1 x.im))))) (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3))))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re))))) (+ (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (- (* -1/8 (* (pow x.re 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ 1 x.im)))))))) (* -1/4 (* (pow x.re 4) (* y.im (sin (* -1 (* y.im (log (/ 1 x.im)))))))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (- (* 1/8 (* (pow x.re 6) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ 1 x.im)))))))) (* (sin (* -1 (* y.im (log (/ 1 x.im))))) (+ (* -1/48 (* (pow x.re 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re))))))))))))))>
#<alt (/ (* (cos (* -1 (* y.im (log (/ -1 x.im))))) (exp (* -1 (* y.re (log (/ -1 x.im)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* -1/2 (/ (* (pow x.re 2) (* y.im (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (sin (* -1 (* y.im (log (/ -1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* -1 (* y.im (log (/ -1 x.im))))) (exp (* -1 (* y.re (log (/ -1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (cos (* -1 (* y.im (log (/ -1 x.im))))) (exp (* -1 (* y.re (log (/ -1 x.im)))))) (exp (* y.im (atan2 x.im x.re))))))>
#<alt (+ (* -1/2 (/ (* (pow x.re 2) (* y.im (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (sin (* -1 (* y.im (log (/ -1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (* y.re (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (sin (* -1 (* y.im (log (/ -1 x.im))))))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* -1 (* y.im (log (/ -1 x.im))))) (exp (* -1 (* y.re (log (/ -1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (* -1 (* y.im (log (/ -1 x.im))))) (exp (* -1 (* y.re (log (/ -1 x.im)))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (cos (* -1 (* y.im (log (/ -1 x.im))))) (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (- (* -1/8 (* (pow x.re 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ -1 x.im)))))))) (* -1/4 (* (pow x.re 4) (* y.im (sin (* -1 (* y.im (log (/ -1 x.im)))))))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))))))))>
#<alt (+ (* -1/2 (/ (* (pow x.re 2) (* y.im (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (sin (* -1 (* y.im (log (/ -1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* -1/2 (/ (* (pow x.re 2) (* y.im (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (* (sin (* -1 (* y.im (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re)))))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (* y.re (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (sin (* -1 (* y.im (log (/ -1 x.im))))))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* -1 (* y.im (log (/ -1 x.im))))) (exp (* -1 (* y.re (log (/ -1 x.im)))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (- (* -1/8 (* (pow x.re 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ -1 x.im)))))))) (* -1/4 (* (pow x.re 4) (* y.im (sin (* -1 (* y.im (log (/ -1 x.im)))))))))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (* -1 (* y.im (log (/ -1 x.im))))) (exp (* -1 (* y.re (log (/ -1 x.im)))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (cos (* -1 (* y.im (log (/ -1 x.im))))) (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (+ (/ (* (cos (* -1 (* y.im (log (/ -1 x.im))))) (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3))))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re))))) (+ (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (- (* -1/8 (* (pow x.re 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ -1 x.im)))))))) (* -1/4 (* (pow x.re 4) (* y.im (sin (* -1 (* y.im (log (/ -1 x.im)))))))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (- (* 1/8 (* (pow x.re 6) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ -1 x.im)))))))) (* (sin (* -1 (* y.im (log (/ -1 x.im))))) (+ (* -1/48 (* (pow x.re 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re))))))))))))))>
#<alt (/ (* (cos (* y.im (log x.im))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (sin (* y.im (log x.im))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* 1/2 (/ (* y.re (* (cos (* y.im (log x.im))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))))) (/ (* (cos (* y.im (log x.im))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (sin (* y.im (log x.im))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (cos (* y.im (log x.im))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (* y.re (* (sin (* y.im (log x.im))) (pow x.im y.re)))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (* y.im (log x.im))) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 4)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))))))))) (/ (* (cos (* y.im (log x.im))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (sin (* y.im (log x.im))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (cos (* y.im (log x.im))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (* y.re (* (sin (* y.im (log x.im))) (pow x.im y.re)))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (sin (* y.im (log x.im))) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 4)))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (* y.im (log x.im))) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (- (* 1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 6))) (* (sin (* y.im (log x.im))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6)))))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))))))) (+ (/ (* (cos (* y.im (log x.im))) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 4)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re))))))))))) (/ (* (cos (* y.im (log x.im))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (/ (* (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* -1 (* y.re (log (/ 1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (/ (* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (* -1 (* y.re (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (/ (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (/ (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re)))))>
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#<alt (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))>
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#<alt 1>
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#<alt (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))>
#<alt (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))>
#<alt (cos (* y.im (log x.re)))>
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#<alt (+ (* -1 (* y.im (+ (log -1) (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))>
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#<alt (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))>
#<alt (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* y.im (+ (* -1 (log (/ 1 x.re))) (/ (* y.re (atan2 x.im x.re)) y.im)))>
#<alt (* y.im (+ (* -1 (log (/ 1 x.re))) (/ (* y.re (atan2 x.im x.re)) y.im)))>
#<alt (* y.im (+ (* -1 (log (/ 1 x.re))) (/ (* y.re (atan2 x.im x.re)) y.im)))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
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#<alt (* -1 (* y.im (+ (log (/ 1 x.re)) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))>
#<alt (* -1 (* y.im (+ (log (/ 1 x.re)) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))>
#<alt (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))>
#<alt (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))) (pow x.im 4))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))>
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#<alt (* (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))>
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#<alt (+ (* -2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* -1 (/ (* (pow x.im 4) (* y.im (* y.re (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))) (* y.re (atan2 x.im x.re)))))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))) (+ (/ (* (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))) (* y.re (atan2 x.im x.re)))) (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (- (* -2 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))) (* y.re (atan2 x.im x.re))))))) (* -2 (* (pow x.im 4) (* y.im (sin (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))) (* y.re (atan2 x.im x.re))))))))) (pow x.re 4)))))))>
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#<alt (* (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))>
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#<alt (+ (* -2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* -1 (/ (* (pow x.im 4) (* y.im (* y.re (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))) (+ (/ (* (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (- (* -2 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))))) (* -2 (* (pow x.im 4) (* y.im (sin (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))))))) (pow x.re 4)))))))>
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#<alt (* (cos (+ (* y.im (+ (log (* 1/2 (pow x.re 2))) (* -1 (log x.im)))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))>
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#<alt (* (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))))>
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#<alt (* (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))>
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#<alt (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (exp (neg (* y.im (atan2 x.im x.re)))))>
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#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* y.re (log x.re))>
#<alt (* y.re (log x.re))>
#<alt (* y.re (log x.re))>
#<alt (* y.re (log x.re))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (* -1 (* y.re (+ (log -1) (log (/ -1 x.re)))))>
#<alt (* -1 (* y.re (+ (log -1) (log (/ -1 x.re)))))>
#<alt (* -1 (* y.re (+ (log -1) (log (/ -1 x.re)))))>
#<alt (* -1 (* y.re (+ (log -1) (log (/ -1 x.re)))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* y.im (log x.re))>
#<alt (* y.im (log x.re))>
#<alt (* y.im (log x.re))>
#<alt (* y.im (log x.re))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (log (/ 1 x.re))))>
#<alt (* -1 (* y.im (+ (log -1) (log (/ -1 x.re)))))>
#<alt (* -1 (* y.im (+ (log -1) (log (/ -1 x.re)))))>
#<alt (* -1 (* y.im (+ (log -1) (log (/ -1 x.re)))))>
#<alt (* -1 (* y.im (+ (log -1) (log (/ -1 x.re)))))>
#<alt (+ (log (* 1/2 (pow x.re 2))) (* -1 (log x.im)))>
#<alt (+ (log (* 1/2 (pow x.re 2))) (+ (* -1 (log x.im)) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (+ (log (* 1/2 (pow x.re 2))) (+ (* -1 (log x.im)) (* (pow x.im 2) (+ (* -2 (/ (pow x.im 2) (pow x.re 4))) (* 2 (/ 1 (pow x.re 2)))))))>
#<alt (+ (log (* 1/2 (pow x.re 2))) (+ (* -1 (log x.im)) (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 8/3 (/ (pow x.im 2) (pow x.re 6))) (* 2 (/ 1 (pow x.re 4))))) (* 2 (/ 1 (pow x.re 2)))))))>
#<alt (* -1 (log (/ 1 x.im)))>
#<alt (+ (* -1 (log (/ 1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (+ (* -1 (log (/ 1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (+ (* -1 (log (/ 1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/24 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x.im))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/24 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (log x.im)>
#<alt (+ (log x.im) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (+ (log x.im) (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 4))) (* 1/2 (/ 1 (pow x.im 2))))))>
#<alt (+ (log x.im) (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/24 (/ (pow x.re 2) (pow x.im 6))) (* 1/8 (/ 1 (pow x.im 4))))) (* 1/2 (/ 1 (pow x.im 2))))))>
#<alt (+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))>
#<alt (+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ 1 x.re))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ 1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (* 2 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ 1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (* 8/3 (/ (pow x.im 6) (pow x.re 6)))))))>
#<alt (+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))>
#<alt (+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ -1 x.re))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ -1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (* 2 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ -1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (* 8/3 (/ (pow x.im 6) (pow x.re 6)))))))>
#<alt x.im>
#<alt (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))>
#<alt (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))>
#<alt (+ x.im (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/16 (/ (pow x.re 2) (pow x.im 5))) (* 1/8 (/ 1 (pow x.im 3))))) (* 1/2 (/ 1 x.im)))))>
#<alt x.re>
#<alt (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 x.re)>
#<alt (* -1 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))>
#<alt x.re>
#<alt (+ x.re (* 1/2 (/ (pow x.im 2) x.re)))>
#<alt (+ x.re (* (pow x.im 2) (+ (* -1/8 (/ (pow x.im 2) (pow x.re 3))) (* 1/2 (/ 1 x.re)))))>
#<alt (+ x.re (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/16 (/ (pow x.im 2) (pow x.re 5))) (* 1/8 (/ 1 (pow x.re 3))))) (* 1/2 (/ 1 x.re)))))>
#<alt x.im>
#<alt (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 x.im)>
#<alt (* -1 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>
#<alt (* 1/2 (/ (pow x.re 2) x.im))>

Calls

273 calls:

Time	Variable		Point	Expression
53.0ms	x.im	@	0	(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im) (* (atan2 x.im x.re) y.re))))
39.0ms	x.im	@	0	(/ (* (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))
35.0ms	x.re	@	inf	(/ (* (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))
23.0ms	y.im	@	0	(* (* -1 y.im) (log (/ 1 x.re)))
19.0ms	x.im	@	0	(* (cos (+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re))))) (exp (- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re)))))

rewrite320.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3116×	`-lowering-.f32`
3116×	`-lowering-.f64`
2612×	`/-lowering-/.f32`
2612×	`/-lowering-/.f64`
1858×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	278
1	323	276
2	2225	274
0	8706	274

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 539

Calls

Call 1

Inputs
(/ (cos (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))) (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))
(cos (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))
(* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))
(log (sqrt (+ (* x.im x.im) (* x.re x.re))))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re))
(cos (* y.re (atan2 x.im x.re)))
(* y.re (atan2 x.im x.re))
(atan2 x.im x.re)
(/ (* (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))
(* (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))) (pow x.re y.re))
(cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re))))
(+ (* y.re (atan2 x.im x.re)) (* y.im (log x.re)))
(* (cos (+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re))))) (exp (- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re)))))
(exp (- (* (* -1 y.re) (log (/ 1 x.re))) (* y.im (atan2 x.im x.re))))
(cos (+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re)))))
(+ (* y.re (atan2 x.im x.re)) (* (* -1 y.im) (log (/ 1 x.re))))
(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im))) y.im) (* (atan2 x.im x.re) y.re))))
(exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)))
(- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
(* (atan2 x.im x.re) y.im)
(exp (* (atan2 x.im x.re) y.im))
(* y.im (log x.re))
(* y.im (atan2 x.im x.re))
(* (* -1 y.re) (log (/ 1 x.re)))
(* (* -1 y.im) (log (/ 1 x.re)))
(log (+ x.im (/ (* 1/2 (* x.re x.re)) x.im)))
(sqrt (+ (* x.re x.re) (* x.im x.im)))
(/ (* 1/2 (* x.re x.re)) x.im)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))))) (/.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64))))))
(/.f64 (/.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)) (neg.f64 (/.f64 y.re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
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(neg.f64 (log.f64 (/.f64 (+.f64 x.im (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re x.re) x.im))) (-.f64 (.f64 x.im x.im) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 (*.f64 x.re x.re) x.im)))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (/.f64 (+.f64 x.im x.re) (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (/.f64 (-.f64 x.im x.re) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(/.f64 (hypot.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (sqrt.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(/.f64 (hypot.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (sqrt.f64 (+.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))) (sqrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (sqrt.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))))) (sqrt.f64 (neg.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (sqrt.f64 (neg.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))
(/.f64 (neg.f64 (hypot.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))))
(/.f64 (neg.f64 (hypot.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))
(pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(.f64 (hypot.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))))
(.f64 (hypot.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (sqrt.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(.f64 (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.im)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re x.re) x.im)))
(neg.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re x.re) x.im)))
(neg.f64 (/.f64 (.f64 (.f64 x.re x.re) #s(literal -1/2 binary64)) x.im))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.im (.f64 x.re (.f64 x.re #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x.im (.f64 x.re (.f64 x.re #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (.f64 x.re (.f64 x.re #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.im (.f64 x.re (.f64 x.re #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x.im (.f64 x.re (.f64 x.re #s(literal 1/2 binary64)))))))
(/.f64 (.f64 x.re (.f64 x.re #s(literal 1/2 binary64))) x.im)
(/.f64 (.f64 (.f64 x.re x.re) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (.f64 (.f64 x.re (*.f64 x.re #s(literal 1/2 binary64))) #s(literal 1 binary64)) x.im)
(/.f64 (neg.f64 (.f64 (.f64 x.re x.re) #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x.im)))
(/.f64 (neg.f64 (.f64 (.f64 x.re (*.f64 x.re #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x.re x.re) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x.im))))
(pow.f64 (/.f64 x.im (.f64 x.re (.f64 x.re #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x.im (.f64 x.re (.f64 x.re #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x.im)))
(.f64 (.f64 x.re x.re) (/.f64 #s(literal 1/2 binary64) x.im))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re (*.f64 x.re #s(literal 1/2 binary64))) x.im))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im))
(.f64 (.f64 x.re (*.f64 x.re #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x.im))
(.f64 (.f64 (*.f64 x.re x.re) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im)))
(.f64 (/.f64 #s(literal 1 binary64) x.im) (.f64 x.re (*.f64 x.re #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x.im) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x.re x.re) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x.re #s(literal 1/2 binary64)) (*.f64 x.re (/.f64 #s(literal 1 binary64) x.im)))
(.f64 (.f64 x.re #s(literal 1/2 binary64)) (/.f64 x.re x.im))
(.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (.f64 x.re x.re)) x.im))
(.f64 (/.f64 (.f64 x.re x.re) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x.im))
(.f64 (/.f64 (.f64 x.re #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x.re) x.im))
(.f64 (/.f64 (neg.f64 (.f64 x.re x.re)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x.im))
(.f64 (/.f64 (neg.f64 (.f64 x.re #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 x.re x.im))

simplify625.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

5780×	`-lowering-.f32`
5780×	`-lowering-.f64`
4750×	`+-lowering-+.f64`
4750×	`+-lowering-+.f32`
1598×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2303	31384
1	7184	29088
0	8194	29088

Stop Event

1×	iter limit
1×	node limit

Counts

1092 → 1092

Calls

Call 1

Inputs
(pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)
(+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (* y.im (- (* y.im (- (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (* y.im (- (* y.im (- (+ (* -1 (* y.im (+ (* -1/2 (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (+ (* 1/6 (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* (- (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (atan2 x.im x.re)))))) (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log x.re))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))
(+ (* (pow x.im 2) (+ (* -1/2 (/ (* y.im (* (sin (* y.im (log x.re))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* 1/2 (/ (* y.re (* (cos (* y.im (log x.re))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))))) (/ (* (cos (* y.im (log x.re))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))
(+ (* (pow x.im 2) (+ (* -1/2 (/ (* y.im (* (sin (* y.im (log x.re))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (cos (* y.im (log x.re))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.im 2) (+ (* -1/4 (/ (* y.im (* y.re (* (sin (* y.im (log x.re))) (pow x.re y.re)))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (cos (* y.im (log x.re))) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.re)))) (pow x.re 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.re)))) (pow x.re 4)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))))))) (/ (* (cos (* y.im (log x.re))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))
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(/ (* (cos (* y.im (log x.im))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re))))
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(/ (* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (* -1 (* y.re (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))
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(/ (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))
(+ (/ (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* y.re (+ (* 1/2 (/ (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))) (exp (* y.im (atan2 x.im x.re))))) (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))) (/ (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* y.re (+ (* y.re (+ (* 1/6 (/ (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3))) (exp (* y.im (atan2 x.im x.re))))) (* 1/2 (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (exp (* y.im (atan2 x.im x.re))))))) (/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))) (/ (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re)))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (exp (* y.im (atan2 x.im x.re))))
1
(+ 1 (* -1/2 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))
(+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* 1/24 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4))))))
(+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* (pow y.im 2) (+ (* -1/720 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 6))) (* 1/24 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4)))))))
(cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(cos (* y.im (log x.re)))
(+ (cos (* y.im (log x.re))) (* -1/2 (/ (* (pow x.im 2) (* y.im (sin (* y.im (log x.re))))) (pow x.re 2))))
(+ (cos (* y.im (log x.re))) (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.re)))) (pow x.re 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.re)))) (pow x.re 4))))) (* 1/2 (/ (* y.im (sin (* y.im (log x.re)))) (pow x.re 2))))))
(+ (cos (* y.im (log x.re))) (* (pow x.im 2) (- (* (pow x.im 2) (- (+ (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.re)))) (pow x.re 4))) (* (pow x.im 2) (- (* 1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.re)))) (pow x.re 6))) (* (sin (* y.im (log x.re))) (+ (* -1/48 (/ (pow y.im 3) (pow x.re 6))) (* 1/6 (/ y.im (pow x.re 6)))))))) (* -1/4 (/ (* y.im (sin (* y.im (log x.re)))) (pow x.re 4))))) (* 1/2 (/ (* y.im (sin (* y.im (log x.re)))) (pow x.re 2))))))
(cos (* -1 (* y.im (log (/ 1 x.im)))))
(+ (cos (* -1 (* y.im (log (/ 1 x.im))))) (* -1/2 (/ (* (pow x.re 2) (* y.im (sin (* -1 (* y.im (log (/ 1 x.im))))))) (pow x.im 2))))
(- (+ (cos (* -1 (* y.im (log (/ 1 x.im))))) (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ 1 x.im))))))) (pow x.im 4)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (sin (* -1 (* y.im (log (/ 1 x.im))))))) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) (* y.im (sin (* -1 (* y.im (log (/ 1 x.im))))))) (pow x.im 2)))))
(- (+ (cos (* -1 (* y.im (log (/ 1 x.im))))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ 1 x.im))))))) (pow x.im 4))) (* 1/8 (/ (* (pow x.re 6) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ 1 x.im))))))) (pow x.im 6))))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (sin (* -1 (* y.im (log (/ 1 x.im))))))) (pow x.im 4))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.im (sin (* -1 (* y.im (log (/ 1 x.im))))))) (pow x.im 2))) (/ (* (sin (* -1 (* y.im (log (/ 1 x.im))))) (+ (* -1/48 (* (pow x.re 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))))) (pow x.im 6)))))
(cos (* -1 (* y.im (log (/ -1 x.im)))))
(+ (cos (* -1 (* y.im (log (/ -1 x.im))))) (* -1/2 (/ (* (pow x.re 2) (* y.im (sin (* -1 (* y.im (log (/ -1 x.im))))))) (pow x.im 2))))
(- (+ (cos (* -1 (* y.im (log (/ -1 x.im))))) (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ -1 x.im))))))) (pow x.im 4)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (sin (* -1 (* y.im (log (/ -1 x.im))))))) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) (* y.im (sin (* -1 (* y.im (log (/ -1 x.im))))))) (pow x.im 2)))))
(- (+ (cos (* -1 (* y.im (log (/ -1 x.im))))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ -1 x.im))))))) (pow x.im 4))) (* 1/8 (/ (* (pow x.re 6) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ -1 x.im))))))) (pow x.im 6))))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (sin (* -1 (* y.im (log (/ -1 x.im))))))) (pow x.im 4))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.im (sin (* -1 (* y.im (log (/ -1 x.im))))))) (pow x.im 2))) (/ (* (sin (* -1 (* y.im (log (/ -1 x.im))))) (+ (* -1/48 (* (pow x.re 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))))) (pow x.im 6)))))
(cos (* y.im (log x.im)))
(+ (cos (* y.im (log x.im))) (* -1/2 (/ (* (pow x.re 2) (* y.im (sin (* y.im (log x.im))))) (pow x.im 2))))
(+ (cos (* y.im (log x.im))) (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 4))))) (* 1/2 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 2))))))
(+ (cos (* y.im (log x.im))) (* (pow x.re 2) (- (* (pow x.re 2) (- (+ (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 4))) (* (pow x.re 2) (- (* 1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 6))) (* (sin (* y.im (log x.im))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6)))))))) (* -1/4 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 4))))) (* 1/2 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 2))))))
(cos (* -1 (* y.im (log (/ 1 x.re)))))
(+ (cos (* -1 (* y.im (log (/ 1 x.re))))) (* -1/2 (/ (* (pow x.im 2) (* y.im (sin (* -1 (* y.im (log (/ 1 x.re))))))) (pow x.re 2))))
(- (+ (cos (* -1 (* y.im (log (/ 1 x.re))))) (* -1/8 (/ (* (pow x.im 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ 1 x.re))))))) (pow x.re 4)))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (sin (* -1 (* y.im (log (/ 1 x.re))))))) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) (* y.im (sin (* -1 (* y.im (log (/ 1 x.re))))))) (pow x.re 2)))))
(- (+ (cos (* -1 (* y.im (log (/ 1 x.re))))) (+ (* -1/8 (/ (* (pow x.im 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ 1 x.re))))))) (pow x.re 4))) (* 1/8 (/ (* (pow x.im 6) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ 1 x.re))))))) (pow x.re 6))))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (sin (* -1 (* y.im (log (/ 1 x.re))))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.im (sin (* -1 (* y.im (log (/ 1 x.re))))))) (pow x.re 2))) (/ (* (sin (* -1 (* y.im (log (/ 1 x.re))))) (+ (* -1/48 (* (pow x.im 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))))) (pow x.re 6)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(+ (cos (* -1 (* y.im (log (/ -1 x.re))))) (* -1/2 (/ (* (pow x.im 2) (* y.im (sin (* -1 (* y.im (log (/ -1 x.re))))))) (pow x.re 2))))
(- (+ (cos (* -1 (* y.im (log (/ -1 x.re))))) (* -1/8 (/ (* (pow x.im 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ -1 x.re))))))) (pow x.re 4)))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (sin (* -1 (* y.im (log (/ -1 x.re))))))) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) (* y.im (sin (* -1 (* y.im (log (/ -1 x.re))))))) (pow x.re 2)))))
(- (+ (cos (* -1 (* y.im (log (/ -1 x.re))))) (+ (* -1/8 (/ (* (pow x.im 4) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ -1 x.re))))))) (pow x.re 4))) (* 1/8 (/ (* (pow x.im 6) (* (pow y.im 2) (cos (* -1 (* y.im (log (/ -1 x.re))))))) (pow x.re 6))))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (sin (* -1 (* y.im (log (/ -1 x.re))))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.im (sin (* -1 (* y.im (log (/ -1 x.re))))))) (pow x.re 2))) (/ (* (sin (* -1 (* y.im (log (/ -1 x.re))))) (+ (* -1/48 (* (pow x.im 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))))) (pow x.re 6)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (log x.re))
(+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.im (log x.re)))
(+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.im) (pow x.re 4))) (* 1/2 (/ y.im (pow x.re 2))))))
(+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.im (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.im (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.im) (pow x.re 6))))))))
(* -1 (* y.im (log (/ 1 x.im))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2)))))
(+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))))
(* -1 (* y.im (log (/ -1 x.im))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2)))))
(+ (* -1 (* y.im (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))))))
(* y.im (log x.im))
(+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.im (log x.im)))
(+ (* y.im (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.im) (pow x.im 4))) (* 1/2 (/ y.im (pow x.im 2))))))
(+ (* y.im (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.im (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.im (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.im) (pow x.im 6))))))))
(* -1 (* y.im (log (/ 1 x.re))))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2)))))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))))
(* -1 (* y.im (log (/ -1 x.re))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2)))))
(+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))))
(log x.re)
(+ (log x.re) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))
(+ (log x.re) (* (pow x.im 2) (+ (* -1/4 (/ (pow x.im 2) (pow x.re 4))) (* 1/2 (/ 1 (pow x.re 2))))))
(+ (log x.re) (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/6 (/ (pow x.im 2) (pow x.re 6))) (* 1/4 (/ 1 (pow x.re 4))))) (* 1/2 (/ 1 (pow x.re 2))))))
(* -1 (log (/ 1 x.im)))
(+ (* -1 (log (/ 1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))
(+ (* -1 (log (/ 1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(+ (* -1 (log (/ 1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (log (/ -1 x.im)))
(+ (* -1 (log (/ -1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))
(+ (* -1 (log (/ -1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(+ (* -1 (log (/ -1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(log x.im)
(+ (log x.im) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))
(+ (log x.im) (* (pow x.re 2) (+ (* -1/4 (/ (pow x.re 2) (pow x.im 4))) (* 1/2 (/ 1 (pow x.im 2))))))
(+ (log x.im) (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/6 (/ (pow x.re 2) (pow x.im 6))) (* 1/4 (/ 1 (pow x.im 4))))) (* 1/2 (/ 1 (pow x.im 2))))))
(* -1 (log (/ 1 x.re)))
(+ (* -1 (log (/ 1 x.re))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))
(+ (* -1 (log (/ 1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))
(+ (* -1 (log (/ 1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (log (/ -1 x.re)))
(+ (* -1 (log (/ -1 x.re))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))
(+ (* -1 (log (/ -1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))
(+ (* -1 (log (/ -1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
1
(+ 1 (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(+ 1 (* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* y.re (+ (* -1/2 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)))))))
(+ 1 (* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* y.re (+ (* -1/2 (pow (atan2 x.im x.re) 2)) (+ (* 1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* y.re (+ (* -1/2 (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (atan2 x.im x.re) 2))) (* 1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3))))))))))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(* (cos (* y.re (atan2 x.im x.re))) (pow x.re y.re))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (pow x.re y.re)))) (pow x.re 2))) (* (cos (* y.re (atan2 x.im x.re))) (pow x.re y.re)))
(+ (* (cos (* y.re (atan2 x.im x.re))) (pow x.re y.re)) (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (* (cos (* y.re (atan2 x.im x.re))) (pow x.re y.re))) (pow x.re 2))) (* (pow x.im 2) (* (cos (* y.re (atan2 x.im x.re))) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re)))))))
(+ (* (cos (* y.re (atan2 x.im x.re))) (pow x.re y.re)) (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (* (cos (* y.re (atan2 x.im x.re))) (pow x.re y.re))) (pow x.re 2))) (* (pow x.im 2) (+ (* (cos (* y.re (atan2 x.im x.re))) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))) (* (pow x.im 2) (* (cos (* y.re (atan2 x.im x.re))) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))) (pow x.re y.re)))))))))
(* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im))))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (pow x.im 2))) (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (pow x.im 2))) (+ (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im)))))) (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))) (pow x.im 4))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (pow x.im 2))) (+ (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im)))))) (+ (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))) (pow x.im 4)) (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3))))))) (pow x.im 6)))))
(* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im))))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im)))))))) (pow x.im 2))) (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im)))))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im)))))))) (pow x.im 2))) (+ (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im)))))) (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))) (pow x.im 4))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im)))))))) (pow x.im 2))) (+ (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im)))))) (+ (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2)))))) (pow x.im 4)) (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3))))))) (pow x.im 6)))))
(* (cos (* y.re (atan2 x.im x.re))) (pow x.im y.re))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (pow x.im y.re)))) (pow x.im 2))) (* (cos (* y.re (atan2 x.im x.re))) (pow x.im y.re)))
(+ (* (cos (* y.re (atan2 x.im x.re))) (pow x.im y.re)) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (* (cos (* y.re (atan2 x.im x.re))) (pow x.im y.re))) (pow x.im 2))) (* (pow x.re 2) (* (cos (* y.re (atan2 x.im x.re))) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)))))))
(+ (* (cos (* y.re (atan2 x.im x.re))) (pow x.im y.re)) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (* (cos (* y.re (atan2 x.im x.re))) (pow x.im y.re))) (pow x.im 2))) (* (pow x.re 2) (+ (* (cos (* y.re (atan2 x.im x.re))) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))) (* (pow x.re 2) (* (cos (* y.re (atan2 x.im x.re))) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))) (pow x.im y.re)))))))))
(* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re))))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re)))))))) (pow x.re 2))) (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re)))))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re)))))))) (pow x.re 2))) (+ (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re)))))) (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re)))))))) (pow x.re 2))) (+ (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re)))))) (+ (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4)) (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3))))))) (pow x.re 6)))))
(* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re))))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re)))))))) (pow x.re 2))) (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re)))))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re)))))))) (pow x.re 2))) (+ (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re)))))) (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re)))))))) (pow x.re 2))) (+ (* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re)))))) (+ (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4)) (/ (* (cos (* y.re (atan2 x.im x.re))) (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3))))))) (pow x.re 6)))))
1
(+ 1 (* -1/2 (* (pow y.re 2) (pow (atan2 x.im x.re) 2))))
(+ 1 (* (pow y.re 2) (+ (* -1/2 (pow (atan2 x.im x.re) 2)) (* 1/24 (* (pow y.re 2) (pow (atan2 x.im x.re) 4))))))
(+ 1 (* (pow y.re 2) (+ (* -1/2 (pow (atan2 x.im x.re) 2)) (* (pow y.re 2) (+ (* -1/720 (* (pow y.re 2) (pow (atan2 x.im x.re) 6))) (* 1/24 (pow (atan2 x.im x.re) 4)))))))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(cos (* y.re (atan2 x.im x.re)))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
(* y.re (atan2 x.im x.re))
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(* (cos (* y.re (atan2 x.im x.re))) (pow x.re y.re))
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(* (cos (* y.re (atan2 x.im x.re))) (pow x.re y.re))
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(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow x.re y.re))
(cos (* y.im (log x.re)))
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(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
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(exp (- (* -1 (* y.re (+ (log -1) (log (/ -1 x.re))))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (+ (log -1) (log (/ -1 x.re))))) (* y.im (atan2 x.im x.re))))
(exp (* -1 (* y.re (log (/ 1 x.re)))))
(+ (exp (* -1 (* y.re (log (/ 1 x.re))))) (* -1 (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (atan2 x.im x.re)))))
(+ (exp (* -1 (* y.re (log (/ 1 x.re))))) (* y.im (+ (* -1 (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (atan2 x.im x.re))) (* 1/2 (* y.im (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (pow (atan2 x.im x.re) 2)))))))
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(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(cos (* -1 (* y.im (log (/ 1 x.re)))))
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(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
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(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (+ (log -1) (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (+ (log -1) (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (+ (log -1) (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (+ (log -1) (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))
(cos (* y.re (atan2 x.im x.re)))
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(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
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(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(* y.re (atan2 x.im x.re))
(* y.re (+ (* -1 (/ (* y.im (log (/ 1 x.re))) y.re)) (atan2 x.im x.re)))
(* y.re (+ (* -1 (/ (* y.im (log (/ 1 x.re))) y.re)) (atan2 x.im x.re)))
(* y.re (+ (* -1 (/ (* y.im (log (/ 1 x.re))) y.re)) (atan2 x.im x.re)))
(* y.re (atan2 x.im x.re))
(* -1 (* y.re (+ (* -1 (atan2 x.im x.re)) (/ (* y.im (log (/ 1 x.re))) y.re))))
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(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
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(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))
(+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))
(+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))
(+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
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(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
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(* y.re (atan2 x.im x.re))
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(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))
(* -1 (* y.im (log (/ 1 x.re))))
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(* y.im (+ (* -1 (log (/ 1 x.re))) (/ (* y.re (atan2 x.im x.re)) y.im)))
(* y.im (+ (* -1 (log (/ 1 x.re))) (/ (* y.re (atan2 x.im x.re)) y.im)))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (+ (log (/ 1 x.re)) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))
(* -1 (* y.im (+ (log (/ 1 x.re)) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))
(* -1 (* y.im (+ (log (/ 1 x.re)) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))
(* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* y.im (+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))
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(* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (exp (neg (* y.im (atan2 x.im x.re)))))
(+ (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (sin (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (atan2 x.im x.re)))) (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))) (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (exp (neg (* y.im (atan2 x.im x.re))))))
(+ (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (sin (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (atan2 x.im x.re)))) (+ (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (sin (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (atan2 x.im x.re))))) (+ (* -1/2 (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (atan2 x.im x.re) 2)))) (* 1/2 (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))))) (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))) (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (exp (neg (* y.im (atan2 x.im x.re))))))
(+ (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (sin (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (atan2 x.im x.re)))) (+ (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (sin (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (atan2 x.im x.re))))) (+ (* -1/2 (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (atan2 x.im x.re) 2)))) (+ (* 1/2 (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)))) (* y.re (+ (* -1/2 (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (atan2 x.im x.re) 2))))) (+ (* -1/2 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (atan2 x.im x.re))))) (+ (* 1/6 (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))) (* 1/6 (* (exp (neg (* y.im (atan2 x.im x.re)))) (* (sin (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (pow (atan2 x.im x.re) 3)))))))))))) (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))) (* (cos (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))) (exp (neg (* y.im (atan2 x.im x.re))))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* -1 (* (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
(+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* -1 (* (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* y.im (+ (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
(+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* -1 (* (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* y.im (+ (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* y.im (+ (* -1/2 (* (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))) (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (+ (* -1/6 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/6 (* (pow (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))) 3) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))) 2) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))))) (* (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
(exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))
(+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))))))
(+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))) (* (pow x.re 2) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))))))))))
(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (+ (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (pow x.re 6)))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (+ (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (pow x.re 6)))))
(exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))
(+ (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))) (pow x.re 2))) (* (pow x.im 2) (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))))))))
(+ (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))) (pow x.re 2))) (* (pow x.im 2) (+ (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4))))) (* (pow x.im 2) (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))))))))))
(exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4))))
(+ (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (+ (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4)) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3)))))) (pow x.im 6)))))
(exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4))))
(+ (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (+ (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4)) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3)))))) (pow x.im 6)))))
(exp (neg (* y.im (atan2 x.im x.re))))
(+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))
(+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (+ (* 1/2 (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
(+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (+ (* y.re (+ (* 1/6 (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))) (* 1/2 (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)
(+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* y.im (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* y.im (+ (* -1/6 (* y.im (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))
(- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))
(- (+ (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))) (* y.re (log x.im))) (* y.im (atan2 x.im x.re)))
(- (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2)))))) (* y.im (atan2 x.im x.re)))
(- (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6)))))))) (* y.im (atan2 x.im x.re)))
(- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))) (* y.im (atan2 x.im x.re)))
(- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))) (* y.im (atan2 x.im x.re)))
(- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))
(- (+ (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))) (* y.re (log x.re))) (* y.im (atan2 x.im x.re)))
(- (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.re) (pow x.re 4))) (* 1/2 (/ y.re (pow x.re 2)))))) (* y.im (atan2 x.im x.re)))
(- (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.re (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.re) (pow x.re 6)))))))) (* y.im (atan2 x.im x.re)))
(- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))) (* y.im (atan2 x.im x.re)))
(- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))) (* y.im (atan2 x.im x.re)))
(- (+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))) (* y.im (atan2 x.im x.re)))
(* -1 (* y.im (atan2 x.im x.re)))
(- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))
(- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))
(- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1 (/ (* y.im (atan2 x.im x.re)) y.re))))
(* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1 (/ (* y.im (atan2 x.im x.re)) y.re))))
(* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1 (/ (* y.im (atan2 x.im x.re)) y.re))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* -1 (* y.re (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ (* y.im (atan2 x.im x.re)) y.re))))
(* -1 (* y.re (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ (* y.im (atan2 x.im x.re)) y.re))))
(* -1 (* y.re (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ (* y.im (atan2 x.im x.re)) y.re))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(+ (* -1 (* y.im (atan2 x.im x.re))) (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(+ (* -1 (* y.im (atan2 x.im x.re))) (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(+ (* -1 (* y.im (atan2 x.im x.re))) (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(* -1 (* y.im (atan2 x.im x.re)))
(* y.im (- (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im) (atan2 x.im x.re)))
(* y.im (- (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im) (atan2 x.im x.re)))
(* y.im (- (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im) (atan2 x.im x.re)))
(* -1 (* y.im (atan2 x.im x.re)))
(* -1 (* y.im (- (* -1 (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im)) (* -1 (atan2 x.im x.re)))))
(* -1 (* y.im (- (* -1 (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im)) (* -1 (atan2 x.im x.re)))))
(* -1 (* y.im (- (* -1 (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.im)) (* -1 (atan2 x.im x.re)))))
(* y.re (log x.im))
(+ (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))) (* y.re (log x.im)))
(+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2))))))
(+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6))))))))
(* -1 (* y.re (log (/ 1 x.re))))
(+ (* -1 (* y.re (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))
(+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))
(+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))
(* -1 (* y.re (log (/ -1 x.re))))
(+ (* -1 (* y.re (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))
(+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))
(+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))
(* y.re (log x.re))
(+ (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))) (* y.re (log x.re)))
(+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.re) (pow x.re 4))) (* 1/2 (/ y.re (pow x.re 2))))))
(+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.re (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.re) (pow x.re 6))))))))
(* -1 (* y.re (log (/ 1 x.im))))
(+ (* -1 (* y.re (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))
(+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))
(+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))
(* -1 (* y.re (log (/ -1 x.im))))
(+ (* -1 (* y.re (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))
(+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))
(+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
1
(+ 1 (* y.im (atan2 x.im x.re)))
(+ 1 (* y.im (+ (* 1/2 (* y.im (pow (atan2 x.im x.re) 2))) (atan2 x.im x.re))))
(+ 1 (* y.im (+ (* y.im (+ (* 1/6 (* y.im (pow (atan2 x.im x.re) 3))) (* 1/2 (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))
(* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))
(* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))
(* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* y.re (log x.re))
(* y.re (log x.re))
(* y.re (log x.re))
(* y.re (log x.re))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (log (/ 1 x.re))))
(* -1 (* y.re (+ (log -1) (log (/ -1 x.re)))))
(* -1 (* y.re (+ (log -1) (log (/ -1 x.re)))))
(* -1 (* y.re (+ (log -1) (log (/ -1 x.re)))))
(* -1 (* y.re (+ (log -1) (log (/ -1 x.re)))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (+ (log -1) (log (/ -1 x.re)))))
(* -1 (* y.im (+ (log -1) (log (/ -1 x.re)))))
(* -1 (* y.im (+ (log -1) (log (/ -1 x.re)))))
(* -1 (* y.im (+ (log -1) (log (/ -1 x.re)))))
(+ (log (* 1/2 (pow x.re 2))) (* -1 (log x.im)))
(+ (log (* 1/2 (pow x.re 2))) (+ (* -1 (log x.im)) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(+ (log (* 1/2 (pow x.re 2))) (+ (* -1 (log x.im)) (* (pow x.im 2) (+ (* -2 (/ (pow x.im 2) (pow x.re 4))) (* 2 (/ 1 (pow x.re 2)))))))
(+ (log (* 1/2 (pow x.re 2))) (+ (* -1 (log x.im)) (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 8/3 (/ (pow x.im 2) (pow x.re 6))) (* 2 (/ 1 (pow x.re 4))))) (* 2 (/ 1 (pow x.re 2)))))))
(* -1 (log (/ 1 x.im)))
(+ (* -1 (log (/ 1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))
(+ (* -1 (log (/ 1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(+ (* -1 (log (/ 1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/24 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(+ (log -1) (* -1 (log (/ -1 x.im))))
(+ (log -1) (+ (* -1 (log (/ -1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(+ (log -1) (+ (* -1 (log (/ -1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(+ (log -1) (+ (* -1 (log (/ -1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/24 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
(log x.im)
(+ (log x.im) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))
(+ (log x.im) (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 4))) (* 1/2 (/ 1 (pow x.im 2))))))
(+ (log x.im) (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/24 (/ (pow x.re 2) (pow x.im 6))) (* 1/8 (/ 1 (pow x.im 4))))) (* 1/2 (/ 1 (pow x.im 2))))))
(+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ 1 x.re))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ 1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (* 2 (/ (pow x.im 2) (pow x.re 2))))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ 1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (* 8/3 (/ (pow x.im 6) (pow x.re 6)))))))
(+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ -1 x.re))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ -1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (* 2 (/ (pow x.im 2) (pow x.re 2))))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ -1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (* 8/3 (/ (pow x.im 6) (pow x.re 6)))))))
x.im
(+ x.im (* 1/2 (/ (pow x.re 2) x.im)))
(+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))
(+ x.im (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/16 (/ (pow x.re 2) (pow x.im 5))) (* 1/8 (/ 1 (pow x.im 3))))) (* 1/2 (/ 1 x.im)))))
x.re
(* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))
(* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
(* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 x.re)
(* -1 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))
x.re
(+ x.re (* 1/2 (/ (pow x.im 2) x.re)))
(+ x.re (* (pow x.im 2) (+ (* -1/8 (/ (pow x.im 2) (pow x.re 3))) (* 1/2 (/ 1 x.re)))))
(+ x.re (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/16 (/ (pow x.im 2) (pow x.re 5))) (* 1/8 (/ 1 (pow x.re 3))))) (* 1/2 (/ 1 x.re)))))
x.im
(* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 x.im)
(* -1 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))
(* 1/2 (/ (pow x.re 2) x.im))

Outputs
(pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)
(+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (neg.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))))
(+ (* y.im (- (* y.im (- (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 y.im (-.f64 (.f64 y.im (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))) (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)) #s(literal -1/2 binary64)))) (.f64 (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re)))))
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(.f64 y.im (+.f64 (log.f64 x.re) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im)))
(* y.im (+ (log x.re) (/ (* y.re (atan2 x.im x.re)) y.im)))
(.f64 y.im (+.f64 (log.f64 x.re) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im)))
(* y.im (+ (log x.re) (/ (* y.re (atan2 x.im x.re)) y.im)))
(.f64 y.im (+.f64 (log.f64 x.re) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im)))
(* y.im (log x.re))
(*.f64 y.im (log.f64 x.re))
(* -1 (* y.im (+ (* -1 (log x.re)) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))
(.f64 (.f64 #s(literal -1 binary64) y.im) (-.f64 (.f64 #s(literal -1 binary64) (log.f64 x.re)) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im)))
(* -1 (* y.im (+ (* -1 (log x.re)) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))
(.f64 (.f64 #s(literal -1 binary64) y.im) (-.f64 (.f64 #s(literal -1 binary64) (log.f64 x.re)) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im)))
(* -1 (* y.im (+ (* -1 (log x.re)) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))
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(* (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (neg (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* -1 (* y.im (+ (log -1) (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (+ (log -1) (log (/ -1 x.re))))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* -1 (* y.im (+ (log -1) (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (+ (log -1) (log (/ -1 x.re))))) (* y.im (atan2 x.im x.re)))))
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(* (cos (* y.re (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re))))))
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(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (neg.f64 (.f64 y.im (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (neg.f64 (.f64 y.im (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (neg.f64 (.f64 y.im (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (neg.f64 (.f64 y.im (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (neg.f64 (.f64 y.im (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (neg.f64 (.f64 y.im (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
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(exp (neg (* y.im (atan2 x.im x.re))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
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(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
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(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
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(* (cos (+ (* y.im (log (+ x.im (* 1/2 (/ (pow x.re 2) x.im))))) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
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(* (cos (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
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(exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))
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(exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))
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(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
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(+ (* -1 (log (/ 1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(+ (* -1 (log (/ 1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/24 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64)))))
(+ (log -1) (* -1 (log (/ -1 x.im))))
(+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))))))
(+ (log -1) (+ (* -1 (log (/ -1 x.im))) (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/24 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64)))))))
(log x.im)
(log.f64 x.im)
(+ (log x.im) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))
(+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im)))
(+ (log x.im) (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 4))) (* 1/2 (/ 1 (pow x.im 2))))))
(+.f64 (log.f64 x.im) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64))))))
(+ (log x.im) (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/24 (/ (pow x.re 2) (pow x.im 6))) (* 1/8 (/ 1 (pow x.im 4))))) (* 1/2 (/ 1 (pow x.im 2))))))
(+.f64 (log.f64 x.im) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (-.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x.im #s(literal 4 binary64))))))))
(+ (log (/ 1/2 x.im)) (* -2 (log (/ 1 x.re))))
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x.re))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ 1 x.re))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (+.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x.re))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ 1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (* 2 (/ (pow x.im 2) (pow x.re 2))))))
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (+.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x.re))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ 1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (* 8/3 (/ (pow x.im 6) (pow x.re 6)))))))
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (+.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x.re))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 x.re #s(literal 6 binary64))))))
(+ (log (/ 1/2 x.im)) (* -2 (log (/ -1 x.re))))
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ -1 x.re))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ -1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (* 2 (/ (pow x.im 2) (pow x.re 2))))))
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (+.f64 (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))))
(+ (log (/ 1/2 x.im)) (+ (* -2 (log (/ -1 x.re))) (+ (* -2 (/ (pow x.im 4) (pow x.re 4))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (* 8/3 (/ (pow x.im 6) (pow x.re 6)))))))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (/.f64 (.f64 #s(literal 8/3 binary64) (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 x.re #s(literal 6 binary64))))))
x.im
(+ x.im (* 1/2 (/ (pow x.re 2) x.im)))
(+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))
(+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))
(+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.re x.re)) (.f64 x.im (.f64 x.im x.im))) (/.f64 #s(literal 1/2 binary64) x.im))))
(+ x.im (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/16 (/ (pow x.re 2) (pow x.im 5))) (* 1/8 (/ 1 (pow x.im 3))))) (* 1/2 (/ 1 x.im)))))
(+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 #s(literal 1/2 binary64) x.im) (.f64 (.f64 x.re x.re) (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x.im (.f64 x.im x.im))))))))
x.re
(* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re))))
(* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
(.f64 x.re (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))))
(* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 x.re (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 x.re #s(literal 6 binary64)))))))
(* -1 x.re)
(neg.f64 x.re)
(* -1 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
(.f64 (neg.f64 x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re))))
(* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (neg.f64 x.re) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))))
(* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))
(.f64 (neg.f64 x.re) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 x.re #s(literal 6 binary64)))))))
x.re
(+ x.re (* 1/2 (/ (pow x.im 2) x.re)))
(+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) x.re))
(+ x.re (* (pow x.im 2) (+ (* -1/8 (/ (pow x.im 2) (pow x.re 3))) (* 1/2 (/ 1 x.re)))))
(+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (/.f64 #s(literal 1/2 binary64) x.re))))
(+ x.re (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/16 (/ (pow x.im 2) (pow x.re 5))) (* 1/8 (/ 1 (pow x.re 3))))) (* 1/2 (/ 1 x.re)))))
(+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 #s(literal 1/2 binary64) x.re) (.f64 (.f64 x.im x.im) (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x.im x.im)) (pow.f64 x.re #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x.re (.f64 x.re x.re))))))))
x.im
(* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im))))
(* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))))))
(* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(* -1 x.im)
(neg.f64 x.im)
(* -1 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (neg.f64 x.im) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im))))
(* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 (neg.f64 x.im) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))))))
(* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))))
(.f64 (neg.f64 x.im) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)
(* 1/2 (/ (pow x.re 2) x.im))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im)

eval343.0ms (2%)

Compiler: Compiled 81547 to 4706 computations (94.2% saved)

prune201.0ms (1.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1942	23	1965
Fresh	14	1	15
Picked	5	0	5
Done	0	0	0
Total	1961	24	1985

Accuracy

97.5%

Counts

1985 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.2%	(pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)
	37.6%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) #s(literal 2 binary64)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	36.8%	(/.f64 (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
	26.4%	(/.f64 (.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))) (-.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.im (log.f64 x.re)) #s(literal 2 binary64)))))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
	35.6%	(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))) (neg.f64 (pow.f64 x.re y.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
	32.1%	(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
	38.8%	(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
	59.6%	(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	54.7%	(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
▶	28.3%	(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
	39.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))))
▶	77.6%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	16.2%	(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x.re x.re) y.re) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))) (*.f64 x.im x.im)))
	25.0%	(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
	39.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.re y.re)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	11.4%	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x.im)) (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re))))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
	20.2%	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x.re))))))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))))
	34.4%	(.f64 (cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (.f64 y.im (atan2.f64 x.im x.re)))))
▶	33.3%	(.f64 (cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (.f64 y.im (atan2.f64 x.im x.re)))))
	40.6%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
	36.2%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	17.9%	(.f64 (cos.f64 (.f64 y.im (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))))
	60.3%	(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.im x.re) y.re))
▶	23.2%	#s(literal 1 binary64)

Compiler

Compiled 1208 to 746 computations (38.2% saved)

simplify205.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y.re #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 x.re (/.f64 y.re #s(literal 2 binary64)))
✓	cost-diff	6848	(.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))))))
✓	cost-diff	6848	(/.f64 (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
✓	cost-diff	128	(.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))
✓	cost-diff	128	(cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
✓	cost-diff	192	(exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re))))
✓	cost-diff	320	(.f64 (cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (.f64 y.im (atan2.f64 x.im x.re)))))
✓	cost-diff	0	(log.f64 x.re)
✓	cost-diff	0	(*.f64 y.im (log.f64 x.re))
✓	cost-diff	0	(cos.f64 (*.f64 y.im (log.f64 x.re)))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
✓	cost-diff	0	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	cost-diff	0	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
✓	cost-diff	0	(/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))

Rules

2468×	`-lowering-.f32`
2468×	`-lowering-.f64`
1762×	`fma-lowering-fma.f32`
1762×	`fma-lowering-fma.f64`
1488×	`fnmsub-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	41	310
1	86	300
2	156	294
3	247	294
4	383	288
5	603	286
6	1233	286
7	2929	279
8	6713	279
0	8364	279

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))
1
(/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re))
(exp (* (atan2 x.im x.re) y.im))
(* (atan2 x.im x.re) y.im)
(atan2 x.im x.re)
x.im
x.re
y.im
(pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)
(sqrt (+ (* x.re x.re) (* x.im x.im)))
y.re
1
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(cos (* y.im (log x.re)))
(* y.im (log x.re))
y.im
(log x.re)
x.re
(exp (* y.im (atan2 x.im x.re)))
(* y.im (atan2 x.im x.re))
(atan2 x.im x.re)
x.im
(* (cos (* (* -1 y.im) (log (/ -1 x.re)))) (exp (- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re)))))
(cos (* (* -1 y.im) (log (/ -1 x.re))))
(* (* -1 y.im) (log (/ -1 x.re)))
(* -1 y.im)
-1
y.im
(log (/ -1 x.re))
(/ -1 x.re)
x.re
(exp (- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re))))
(- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re)))
(* (* -1 y.re) (log (/ -1 x.re)))
(* -1 y.re)
y.re
(* y.im (atan2 x.im x.re))
(atan2 x.im x.re)
x.im
(/ (* (pow x.re (/ y.re 2)) (* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re)))))) (exp (* y.im (atan2 x.im x.re))))
(* (pow x.re (/ y.re 2)) (* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re))))))
(pow x.re (/ y.re 2))
x.re
(/ y.re 2)
y.re
2
(* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re)))))
(cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re))))
(+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re)))
(* (atan2 x.im x.re) y.re)
(atan2 x.im x.re)
x.im
(* y.im (log x.re))
y.im
(log x.re)
(exp (* y.im (atan2 x.im x.re)))
(* y.im (atan2 x.im x.re))

Outputs
(/ 1 (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
1
#s(literal 1 binary64)
(/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re))
(/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.im x.re) y.re))
(exp (* (atan2 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(* (atan2 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
x.im
x.re
y.im
(pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)
(pow.f64 (hypot.f64 x.im x.re) y.re)
(sqrt (+ (* x.re x.re) (* x.im x.im)))
(hypot.f64 x.im x.re)
y.re
1
#s(literal 1 binary64)
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(cos (* y.im (log x.re)))
(cos.f64 (*.f64 y.im (log.f64 x.re)))
(* y.im (log x.re))
(*.f64 y.im (log.f64 x.re))
y.im
(log x.re)
(log.f64 x.re)
x.re
(exp (* y.im (atan2 x.im x.re)))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(* y.im (atan2 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
x.im
(* (cos (* (* -1 y.im) (log (/ -1 x.re)))) (exp (- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re)))))
(/.f64 (cos.f64 (.f64 y.im (log.f64 (-.f64 #s(literal 0 binary64) x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (-.f64 #s(literal 0 binary64) x.re) y.re)))
(cos (* (* -1 y.im) (log (/ -1 x.re))))
(cos.f64 (*.f64 y.im (log.f64 (-.f64 #s(literal 0 binary64) x.re))))
(* (* -1 y.im) (log (/ -1 x.re)))
(*.f64 y.im (log.f64 (-.f64 #s(literal 0 binary64) x.re)))
(* -1 y.im)
(-.f64 #s(literal 0 binary64) y.im)
-1
#s(literal -1 binary64)
y.im
(log (/ -1 x.re))
(log.f64 (/.f64 #s(literal -1 binary64) x.re))
(/ -1 x.re)
(/.f64 #s(literal -1 binary64) x.re)
x.re
(exp (- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re))))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.re) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 (-.f64 #s(literal 0 binary64) x.re))) (.f64 (atan2.f64 x.im x.re) y.im))
(* (* -1 y.re) (log (/ -1 x.re)))
(*.f64 y.re (log.f64 (-.f64 #s(literal 0 binary64) x.re)))
(* -1 y.re)
(-.f64 #s(literal 0 binary64) y.re)
y.re
(* y.im (atan2 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
x.im
(/ (* (pow x.re (/ y.re 2)) (* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re)))))) (exp (* y.im (atan2 x.im x.re))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(* (pow x.re (/ y.re 2)) (* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re))))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 x.re y.re))
(pow x.re (/ y.re 2))
(pow.f64 x.re (/.f64 y.re #s(literal 2 binary64)))
x.re
(/ y.re 2)
(/.f64 y.re #s(literal 2 binary64))
y.re
2
#s(literal 2 binary64)
(* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re)))))
(.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))
(+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re)))
(+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re))
(* (atan2 x.im x.re) y.re)
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
x.im
(* y.im (log x.re))
(*.f64 y.im (log.f64 x.re))
y.im
(log x.re)
(log.f64 x.re)
(exp (* y.im (atan2 x.im x.re)))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(* y.im (atan2 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)

localize325.0ms (1.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y.im (log.f64 x.re))
✓	accuracy	100.0%	(log.f64 x.re)
✓	accuracy	100.0%	(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
✓	accuracy	100.0%	(cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))))
✓	accuracy	100.0%	(*.f64 #s(literal -1 binary64) y.im)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1 binary64) x.re))
✓	accuracy	100.0%	(exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re))))
✓	accuracy	100.0%	(cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
✓	accuracy	100.0%	(*.f64 y.im (log.f64 x.re))
✓	accuracy	100.0%	(log.f64 x.re)
✓	accuracy	100.0%	(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
✓	accuracy	100.0%	(cos.f64 (*.f64 y.im (log.f64 x.re)))
✓	accuracy	100.0%	(/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
✓	accuracy	100.0%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	accuracy	100.0%	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))

Results

173.0ms	146×	0	invalid
72.0ms	110×	0	unsamplable

Compiler

Compiled 333 to 39 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult: 114.0ms (57% of total)

ival-pow: 26.0ms (13% of total)

ival-exp: 24.0ms (12% of total)

ival-div: 9.0ms (4.5% of total)

compiled-spec: 8.0ms (4% of total)

ival-log: 5.0ms (2.5% of total)

ival-cos: 5.0ms (2.5% of total)

ival-add: 3.0ms (1.5% of total)

ival-atan2: 3.0ms (1.5% of total)

ival-sqrt: 2.0ms (1% of total)

ival-sub: 1.0ms (0.5% of total)

const: 1.0ms (0.5% of total)

backward-pass: 0.0ms (0% of total)

series144.0ms (0.8%)

Counts

20 → 648

Calls

Call 1

Inputs
#<alt (/ 1 (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))>
#<alt (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re))>
#<alt (exp (* (atan2 x.im x.re) y.im))>
#<alt (* (atan2 x.im x.re) y.im)>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (cos (* y.im (log x.re)))>
#<alt (* y.im (log x.re))>
#<alt (log x.re)>
#<alt (* (cos (* (* -1 y.im) (log (/ -1 x.re)))) (exp (- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re)))))>
#<alt (exp (- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re))))>
#<alt (cos (* (* -1 y.im) (log (/ -1 x.re))))>
#<alt (* (* -1 y.im) (log (/ -1 x.re)))>
#<alt (/ (* (pow x.re (/ y.re 2)) (* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (* (pow x.re (/ y.re 2)) (* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re))))))>
#<alt (pow x.re (/ y.re 2))>
#<alt (/ y.re 2)>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (log (/ -1 x.re))>
#<alt (* -1 y.im)>
#<alt (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re))))>

Outputs
#<alt (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))>
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#<alt (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re)))))>
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#<alt (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3)))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re))))))))>
#<alt (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))>
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#<alt (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (/ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.re 2) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re))))>
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#<alt (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)>
#<alt (+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))>
#<alt (+ (* y.im (- (* -1 (* y.im (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))>
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#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ 1 (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (/ 1 (exp (* y.im (atan2 x.im x.re)))) (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* y.re (+ (* 1/2 (/ (* y.re (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (exp (* y.im (atan2 x.im x.re))))) (/ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (exp (* y.im (atan2 x.im x.re)))))) (/ 1 (exp (* y.im (atan2 x.im x.re)))))>
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#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* y.im (atan2 x.im x.re))) (pow x.re y.re))>
#<alt (+ (* -1/2 (/ (* (pow x.im 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (pow x.re y.re)))) (/ (exp (* y.im (atan2 x.im x.re))) (pow x.re y.re)))>
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#<alt (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im))))))>
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#<alt (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im))))))>
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#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (+ (* -1 (* y.im (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re))))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)))>
#<alt (+ (* y.im (+ (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* -1/2 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (log x.re) 2))))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)))>
#<alt (+ (* y.im (+ (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* y.im (+ (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (log x.re) 2)))) (* 1/6 (* y.im (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (pow (log x.re) 3) (sin (* y.re (atan2 x.im x.re))))))))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* -1/2 (* y.re (log (/ 1 x.re)))))>
#<alt (exp (* -1/2 (* y.re (log (/ 1 x.re)))))>
#<alt (exp (* -1/2 (* y.re (log (/ 1 x.re)))))>
#<alt (exp (* -1/2 (* y.re (log (/ 1 x.re)))))>
#<alt (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re)))))))>
#<alt (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re)))))))>
#<alt (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re)))))))>
#<alt (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* y.re (log x.re))))>
#<alt (+ 1 (* y.re (+ (* 1/8 (* y.re (pow (log x.re) 2))) (* 1/2 (log x.re)))))>
#<alt (+ 1 (* y.re (+ (* 1/2 (log x.re)) (* y.re (+ (* 1/48 (* y.re (pow (log x.re) 3))) (* 1/8 (pow (log x.re) 2)))))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (exp (* 1/2 (* y.re (log x.re))))>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt (* 1/2 y.re)>
#<alt 1>
#<alt (+ 1 (* y.im (atan2 x.im x.re)))>
#<alt (+ 1 (* y.im (+ (* 1/2 (* y.im (pow (atan2 x.im x.re) 2))) (atan2 x.im x.re))))>
#<alt (+ 1 (* y.im (+ (* y.im (+ (* 1/6 (* y.im (pow (atan2 x.im x.re) 3))) (* 1/2 (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (+ (log -1) (* -1 (log x.re)))>
#<alt (+ (log -1) (* -1 (log x.re)))>
#<alt (+ (log -1) (* -1 (log x.re)))>
#<alt (+ (log -1) (* -1 (log x.re)))>
#<alt (+ (log -1) (log (/ 1 x.re)))>
#<alt (+ (log -1) (log (/ 1 x.re)))>
#<alt (+ (log -1) (log (/ 1 x.re)))>
#<alt (+ (log -1) (log (/ 1 x.re)))>
#<alt (log (/ -1 x.re))>
#<alt (log (/ -1 x.re))>
#<alt (log (/ -1 x.re))>
#<alt (log (/ -1 x.re))>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (* -1 y.im)>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))>
#<alt (cos (* y.im (log x.re)))>
#<alt (+ (cos (* y.im (log x.re))) (* -1 (* y.re (* (sin (* y.im (log x.re))) (atan2 x.im x.re)))))>
#<alt (+ (cos (* y.im (log x.re))) (* y.re (- (* -1/2 (* y.re (* (cos (* y.im (log x.re))) (pow (atan2 x.im x.re) 2)))) (* (sin (* y.im (log x.re))) (atan2 x.im x.re)))))>
#<alt (+ (cos (* y.im (log x.re))) (* y.re (- (* y.re (+ (* -1/2 (* (cos (* y.im (log x.re))) (pow (atan2 x.im x.re) 2))) (* 1/6 (* y.re (* (sin (* y.im (log x.re))) (pow (atan2 x.im x.re) 3)))))) (* (sin (* y.im (log x.re))) (atan2 x.im x.re)))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (* y.re (atan2 x.im x.re)))>
#<alt (+ (cos (* y.re (atan2 x.im x.re))) (* -1 (* y.im (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))))>
#<alt (+ (cos (* y.re (atan2 x.im x.re))) (* y.im (- (* -1/2 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log x.re) 2)))) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))))>
#<alt (+ (cos (* y.re (atan2 x.im x.re))) (* y.im (- (* y.im (+ (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (pow (log x.re) 2))) (* 1/6 (* y.im (* (pow (log x.re) 3) (sin (* y.re (atan2 x.im x.re)))))))) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>
#<alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))>

Calls

162 calls:

Time	Variable		Point	Expression
18.0ms	y.re	@	inf	(* (cos (* (* -1 y.im) (log (/ -1 x.re)))) (exp (- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re)))))
15.0ms	x.re	@	-inf	(/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re))
13.0ms	y.im	@	0	(* (* -1 y.im) (log (/ -1 x.re)))
10.0ms	x.im	@	0	(* (cos (* (* -1 y.im) (log (/ -1 x.re)))) (exp (- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re)))))
8.0ms	x.im	@	-inf	(/ (* (pow x.re (/ y.re 2)) (* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re)))))) (exp (* y.im (atan2 x.im x.re))))

rewrite396.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3546×	`-lowering-.f32`
3546×	`-lowering-.f64`
2788×	`/-lowering-/.f32`
2788×	`/-lowering-/.f64`
1838×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	190
1	197	179
2	1210	172
0	8345	172

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 354

Calls

Call 1

Inputs
(/ 1 (/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re)))
(/ (exp (* (atan2 x.im x.re) y.im)) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re))
(exp (* (atan2 x.im x.re) y.im))
(* (atan2 x.im x.re) y.im)
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(cos (* y.im (log x.re)))
(* y.im (log x.re))
(log x.re)
(* (cos (* (* -1 y.im) (log (/ -1 x.re)))) (exp (- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re)))))
(exp (- (* (* -1 y.re) (log (/ -1 x.re))) (* y.im (atan2 x.im x.re))))
(cos (* (* -1 y.im) (log (/ -1 x.re))))
(* (* -1 y.im) (log (/ -1 x.re)))
(/ (* (pow x.re (/ y.re 2)) (* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re)))))) (exp (* y.im (atan2 x.im x.re))))
(* (pow x.re (/ y.re 2)) (* (pow x.re (/ y.re 2)) (cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re))))))
(pow x.re (/ y.re 2))
(/ y.re 2)
(exp (* y.im (atan2 x.im x.re)))
(log (/ -1 x.re))
(* -1 y.im)
(cos (+ (* (atan2 x.im x.re) y.re) (* y.im (log x.re))))

Outputs
(exp.f64 (.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 y.re (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 y.re (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (/.f64 #s(literal 2 binary64) y.re)) (*.f64 y.im (-.f64 #s(literal 0 binary64) (atan2.f64 x.im x.re)))))
(exp.f64 (+.f64 (.f64 y.im (-.f64 #s(literal 0 binary64) (atan2.f64 x.im x.re))) (.f64 y.re (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))))
(exp.f64 (+.f64 (.f64 y.im (-.f64 #s(literal 0 binary64) (atan2.f64 x.im x.re))) (/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 #s(literal 2 binary64) y.re))))
(exp.f64 (neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 y.re (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))
(exp.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (/.f64 #s(literal 2 binary64) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.im (-.f64 #s(literal 0 binary64) (atan2.f64 x.im x.re))) (neg.f64 (.f64 y.re (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal -2 binary64))) (exp.f64 (*.f64 y.im (-.f64 #s(literal 0 binary64) (atan2.f64 x.im x.re))))))
(/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re))))))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (*.f64 y.im (log.f64 x.re)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (*.f64 y.im (log.f64 x.re))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 2 binary64))) (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))))) (-.f64 (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (*.f64 y.im (log.f64 x.re)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 y.im (log.f64 x.re)))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re))))) #s(literal 3 binary64))) (+.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (-.f64 (.f64 (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 y.im (log.f64 x.re)))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re))))) (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 y.im (log.f64 x.re)))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))))) (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 y.im (log.f64 x.re)))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (*.f64 y.im (log.f64 x.re)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re))))) (neg.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))))) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (*.f64 y.im (log.f64 x.re)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 y.im (log.f64 x.re))))) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 y.im (log.f64 x.re))))))))
(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))))))))
(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 x.re))))))

simplify719.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

6176×	`-lowering-.f32`
6176×	`-lowering-.f64`
5028×	`+-lowering-+.f64`
5028×	`+-lowering-+.f32`
1266×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	956	13501
1	3374	12152
0	8194	12152

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

Inputs
(/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))
(+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (pow x.re y.re)) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.im 2) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))
(+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (pow x.re y.re)) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.im 2) (+ (/ (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.im 2) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))
(/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3)))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re))))))))
(/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3)))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re))))))))
(/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))
(+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.re 2) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))
(+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (/ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.re 2) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))
(/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (* (pow x.re 6) (exp (* y.im (atan2 x.im x.re))))))))
(/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (* (pow x.re 6) (exp (* y.im (atan2 x.im x.re))))))))
(pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)
(+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (* y.im (- (* -1 (* y.im (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (* y.im (- (* y.im (- (* -1 (* y.im (+ (* -1 (* (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (atan2 x.im x.re))) (+ (* -1/2 (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/6 (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ 1 (exp (* y.im (atan2 x.im x.re))))
(+ (/ 1 (exp (* y.im (atan2 x.im x.re)))) (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* y.re (+ (* 1/2 (/ (* y.re (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (exp (* y.im (atan2 x.im x.re))))) (/ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (exp (* y.im (atan2 x.im x.re)))))) (/ 1 (exp (* y.im (atan2 x.im x.re)))))
(+ (* y.re (+ (* y.re (+ (* 1/6 (/ (* y.re (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (exp (* y.im (atan2 x.im x.re))))) (* 1/2 (/ (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (exp (* y.im (atan2 x.im x.re))))))) (/ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (exp (* y.im (atan2 x.im x.re)))))) (/ 1 (exp (* y.im (atan2 x.im x.re)))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re) (exp (* y.im (atan2 x.im x.re))))
(/ (exp (* y.im (atan2 x.im x.re))) (pow x.re y.re))
(+ (* -1/2 (/ (* (pow x.im 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (pow x.re y.re)))) (/ (exp (* y.im (atan2 x.im x.re))) (pow x.re y.re)))
(+ (* (pow x.im 2) (- (* -1 (* (pow x.im 2) (+ (* -1/4 (/ (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re)))) (* (pow x.re 4) (pow x.re y.re)))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4))))) (pow x.re y.re))))) (* 1/2 (/ (* y.re (exp (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (pow x.re y.re)))))) (/ (exp (* y.im (atan2 x.im x.re))) (pow x.re y.re)))
(+ (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1 (* (pow x.im 2) (+ (* -1/2 (/ (* y.re (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))))) (* (pow x.re 2) (pow x.re y.re)))) (+ (* -1/2 (/ (* y.re (+ (* -1/4 (/ (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re)))) (* (pow x.re 4) (pow x.re y.re)))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4))))) (pow x.re y.re)))) (pow x.re 2))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6)))))) (pow x.re y.re)))))) (+ (* -1/4 (/ (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re)))) (* (pow x.re 4) (pow x.re y.re)))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4))))) (pow x.re y.re))))) (* 1/2 (/ (* y.re (exp (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (pow x.re y.re)))))) (/ (exp (* y.im (atan2 x.im x.re))) (pow x.re y.re)))
(/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im))))))
(+ (* -1/2 (/ (* (pow x.re 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.im 2) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x.re 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (exp (* -1 (* y.re (log (/ 1 x.im))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (exp (* -1 (* y.re (log (/ 1 x.im))))))) (pow x.im 4))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im))))))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.im 2) (exp (* -1 (* y.re (log (/ 1 x.im)))))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (pow x.re 2) (* y.re (+ (* -1/4 (/ (* (pow x.re 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (exp (* -1 (* y.re (log (/ 1 x.im))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))))) (+ (* -1/2 (/ (* (pow x.re 2) (* y.re (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))))) (exp (* -1 (* y.re (log (/ 1 x.im))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3)))))) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (pow x.im 6))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.im))))))) (+ (* -1/4 (/ (* (pow x.re 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (* (pow x.im 4) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.im 2) (exp (* -1 (* y.re (log (/ 1 x.im)))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* -1 (* y.re (log (/ 1 x.im))))))))))
(/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im))))))
(+ (* -1/2 (/ (* (pow x.re 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.im 2) (exp (* -1 (* y.re (log (/ -1 x.im)))))))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x.re 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (exp (* -1 (* y.re (log (/ -1 x.im))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (exp (* -1 (* y.re (log (/ -1 x.im))))))) (pow x.im 4))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.im 2) (exp (* -1 (* y.re (log (/ -1 x.im)))))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (pow x.re 2) (* y.re (+ (* -1/4 (/ (* (pow x.re 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (exp (* -1 (* y.re (log (/ -1 x.im))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (exp (* -1 (* y.re (log (/ -1 x.im)))))))))) (+ (* -1/2 (/ (* (pow x.re 2) (* y.re (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))))) (exp (* -1 (* y.re (log (/ -1 x.im))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3)))))) (exp (* -1 (* y.re (log (/ -1 x.im)))))))) (pow x.im 6))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.im))))))) (+ (* -1/4 (/ (* (pow x.re 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (* (pow x.im 4) (exp (* -1 (* y.re (log (/ -1 x.im)))))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.im 2) (exp (* -1 (* y.re (log (/ -1 x.im)))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* -1 (* y.re (log (/ -1 x.im))))))))))
(/ (exp (* y.im (atan2 x.im x.re))) (pow x.im y.re))
(+ (* -1/2 (/ (* (pow x.re 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.im 2) (pow x.im y.re)))) (/ (exp (* y.im (atan2 x.im x.re))) (pow x.im y.re)))
(+ (* (pow x.re 2) (- (* -1 (* (pow x.re 2) (+ (* -1/4 (/ (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re)))) (* (pow x.im 4) (pow x.im y.re)))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))) (pow x.im y.re))))) (* 1/2 (/ (* y.re (exp (* y.im (atan2 x.im x.re)))) (* (pow x.im 2) (pow x.im y.re)))))) (/ (exp (* y.im (atan2 x.im x.re))) (pow x.im y.re)))
(+ (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (* (pow x.re 2) (+ (* -1/2 (/ (* y.re (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (* (pow x.im 2) (pow x.im y.re)))) (+ (* -1/2 (/ (* y.re (+ (* -1/4 (/ (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re)))) (* (pow x.im 4) (pow x.im y.re)))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))) (pow x.im y.re)))) (pow x.im 2))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6)))))) (pow x.im y.re)))))) (+ (* -1/4 (/ (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re)))) (* (pow x.im 4) (pow x.im y.re)))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))) (pow x.im y.re))))) (* 1/2 (/ (* y.re (exp (* y.im (atan2 x.im x.re)))) (* (pow x.im 2) (pow x.im y.re)))))) (/ (exp (* y.im (atan2 x.im x.re))) (pow x.im y.re)))
(/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re))))))
(+ (* -1/2 (/ (* (pow x.im 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (exp (* -1 (* y.re (log (/ 1 x.re)))))))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x.im 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (exp (* -1 (* y.re (log (/ 1 x.re))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (exp (* -1 (* y.re (log (/ 1 x.re))))))) (pow x.re 4))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (exp (* -1 (* y.re (log (/ 1 x.re)))))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (pow x.im 2) (* y.re (+ (* -1/4 (/ (* (pow x.im 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (exp (* -1 (* y.re (log (/ 1 x.re))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (exp (* -1 (* y.re (log (/ 1 x.re)))))))))) (+ (* -1/2 (/ (* (pow x.im 2) (* y.re (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))))) (exp (* -1 (* y.re (log (/ 1 x.re))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (exp (* -1 (* y.re (log (/ 1 x.re)))))))) (pow x.re 6))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ 1 x.re))))))) (+ (* -1/4 (/ (* (pow x.im 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (* (pow x.re 4) (exp (* -1 (* y.re (log (/ 1 x.re)))))))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (exp (* -1 (* y.re (log (/ 1 x.re)))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* -1 (* y.re (log (/ 1 x.re))))))))))
(/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re))))))
(+ (* -1/2 (/ (* (pow x.im 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (exp (* -1 (* y.re (log (/ -1 x.re)))))))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x.im 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (exp (* -1 (* y.re (log (/ -1 x.re))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (exp (* -1 (* y.re (log (/ -1 x.re))))))) (pow x.re 4))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re))))))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (exp (* -1 (* y.re (log (/ -1 x.re)))))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (pow x.im 2) (* y.re (+ (* -1/4 (/ (* (pow x.im 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (exp (* -1 (* y.re (log (/ -1 x.re))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (exp (* -1 (* y.re (log (/ -1 x.re)))))))))) (+ (* -1/2 (/ (* (pow x.im 2) (* y.re (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))))) (exp (* -1 (* y.re (log (/ -1 x.re))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (exp (* -1 (* y.re (log (/ -1 x.re)))))))) (pow x.re 6))) (/ (exp (* y.im (atan2 x.im x.re))) (exp (* -1 (* y.re (log (/ -1 x.re))))))) (+ (* -1/4 (/ (* (pow x.im 4) (* (pow y.re 2) (exp (* y.im (atan2 x.im x.re))))) (* (pow x.re 4) (exp (* -1 (* y.re (log (/ -1 x.re)))))))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (exp (* -1 (* y.re (log (/ -1 x.re)))))))) (/ (* (exp (* y.im (atan2 x.im x.re))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* -1 (* y.re (log (/ -1 x.re))))))))))
(/ 1 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(+ (/ 1 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)) (/ (* y.im (atan2 x.im x.re)) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
(+ (* y.im (+ (* 1/2 (/ (* y.im (pow (atan2 x.im x.re) 2)) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (/ (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (/ 1 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
(+ (* y.im (+ (* y.im (+ (* 1/6 (/ (* y.im (pow (atan2 x.im x.re) 3)) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (/ (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (/ (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (/ 1 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
(/ (exp (* y.im (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(/ (exp (* y.im (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(/ (exp (* y.im (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(/ (exp (* y.im (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(/ (exp (* y.im (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(/ (exp (* y.im (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(/ (exp (* y.im (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(/ (exp (* y.im (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))
(exp (* y.im (atan2 x.im x.re)))
(+ (exp (* y.im (atan2 x.im x.re))) (* -1 (* y.re (* (exp (* y.im (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
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(exp (* y.im (atan2 x.im x.re)))
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(exp (* y.im (atan2 x.im x.re)))
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(exp (* y.im (atan2 x.im x.re)))
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(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
1
(+ 1 (* y.im (atan2 x.im x.re)))
(+ 1 (* y.im (+ (* 1/2 (* y.im (pow (atan2 x.im x.re) 2))) (atan2 x.im x.re))))
(+ 1 (* y.im (+ (* y.im (+ (* 1/6 (* y.im (pow (atan2 x.im x.re) 3))) (* 1/2 (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(exp (* y.im (atan2 x.im x.re)))
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(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
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(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
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(* y.im (atan2 x.im x.re))
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(* y.im (atan2 x.im x.re))
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(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
1
(+ 1 (* -1 (* y.im (atan2 x.im x.re))))
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(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
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1
(+ 1 (* -1/2 (* (pow y.im 2) (pow (log x.re) 2))))
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(cos (* y.im (log x.re)))
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(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
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(cos (* y.im (log x.re)))
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(cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))))
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(cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))))
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(log x.re)
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(* (cos (* -1 (* y.im (+ (log -1) (log (/ 1 x.re)))))) (exp (- (* -1 (* y.re (+ (log -1) (log (/ 1 x.re))))) (* y.im (atan2 x.im x.re)))))
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(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(* (cos (* -1 (* y.im (log (/ -1 x.re))))) (exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re)))))
(exp (neg (* y.im (atan2 x.im x.re))))
(+ (exp (neg (* y.im (atan2 x.im x.re)))) (* -1 (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (/ -1 x.re))))))
(+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (/ -1 x.re)))) (* 1/2 (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (/ -1 x.re)) 2)))))))
(+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (+ (* -1 (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (/ -1 x.re)))) (* y.re (+ (* -1/6 (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (/ -1 x.re)) 3)))) (* 1/2 (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (/ -1 x.re)) 2))))))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (+ (log -1) (* -1 (log x.re))))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (+ (log -1) (* -1 (log x.re))))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (+ (log -1) (* -1 (log x.re))))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (+ (log -1) (* -1 (log x.re))))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (+ (log -1) (log (/ 1 x.re))))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (+ (log -1) (log (/ 1 x.re))))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (+ (log -1) (log (/ 1 x.re))))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (+ (log -1) (log (/ 1 x.re))))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (* -1 (* y.re (log (/ -1 x.re)))))
(+ (exp (* -1 (* y.re (log (/ -1 x.re))))) (* -1 (* y.im (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (atan2 x.im x.re)))))
(+ (exp (* -1 (* y.re (log (/ -1 x.re))))) (* y.im (+ (* -1 (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (atan2 x.im x.re))) (* 1/2 (* y.im (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (pow (atan2 x.im x.re) 2)))))))
(+ (exp (* -1 (* y.re (log (/ -1 x.re))))) (* y.im (+ (* -1 (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (atan2 x.im x.re))) (* y.im (+ (* -1/6 (* y.im (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (pow (atan2 x.im x.re) 3)))) (* 1/2 (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (pow (atan2 x.im x.re) 2))))))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
(exp (- (* -1 (* y.re (log (/ -1 x.re)))) (* y.im (atan2 x.im x.re))))
1
(+ 1 (* -1/2 (* (pow y.im 2) (pow (log (/ -1 x.re)) 2))))
(+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (/ -1 x.re)) 2)) (* 1/24 (* (pow y.im 2) (pow (log (/ -1 x.re)) 4))))))
(+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (/ -1 x.re)) 2)) (* (pow y.im 2) (+ (* -1/720 (* (pow y.im 2) (pow (log (/ -1 x.re)) 6))) (* 1/24 (pow (log (/ -1 x.re)) 4)))))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (+ (log -1) (* -1 (log x.re))))))
(cos (* -1 (* y.im (+ (log -1) (* -1 (log x.re))))))
(cos (* -1 (* y.im (+ (log -1) (* -1 (log x.re))))))
(cos (* -1 (* y.im (+ (log -1) (* -1 (log x.re))))))
(cos (* -1 (* y.im (+ (log -1) (log (/ 1 x.re))))))
(cos (* -1 (* y.im (+ (log -1) (log (/ 1 x.re))))))
(cos (* -1 (* y.im (+ (log -1) (log (/ 1 x.re))))))
(cos (* -1 (* y.im (+ (log -1) (log (/ 1 x.re))))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(cos (* -1 (* y.im (log (/ -1 x.re)))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (+ (log -1) (* -1 (log x.re)))))
(* -1 (* y.im (+ (log -1) (* -1 (log x.re)))))
(* -1 (* y.im (+ (log -1) (* -1 (log x.re)))))
(* -1 (* y.im (+ (log -1) (* -1 (log x.re)))))
(* -1 (* y.im (+ (log -1) (log (/ 1 x.re)))))
(* -1 (* y.im (+ (log -1) (log (/ 1 x.re)))))
(* -1 (* y.im (+ (log -1) (log (/ 1 x.re)))))
(* -1 (* y.im (+ (log -1) (log (/ 1 x.re)))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(* -1 (* y.im (log (/ -1 x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (pow (exp (* -1/2 (* y.re (log (/ 1 x.re))))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (pow (exp (* -1/2 (* y.re (log (/ 1 x.re))))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (pow (exp (* -1/2 (* y.re (log (/ 1 x.re))))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (pow (exp (* -1/2 (* y.re (log (/ 1 x.re))))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re))))))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re))))))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re))))))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re))))))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(+ (* y.re (+ (* -1 (/ (* (sin (* y.im (log x.re))) (atan2 x.im x.re)) (exp (* y.im (atan2 x.im x.re))))) (/ (* (cos (* y.im (log x.re))) (log x.re)) (exp (* y.im (atan2 x.im x.re)))))) (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* y.re (+ (* -1 (/ (* (sin (* y.im (log x.re))) (atan2 x.im x.re)) (exp (* y.im (atan2 x.im x.re))))) (+ (* y.re (+ (* -1 (/ (* (log x.re) (* (sin (* y.im (log x.re))) (atan2 x.im x.re))) (exp (* y.im (atan2 x.im x.re))))) (+ (* -1/2 (/ (* (cos (* y.im (log x.re))) (pow (atan2 x.im x.re) 2)) (exp (* y.im (atan2 x.im x.re))))) (* 1/2 (/ (* (cos (* y.im (log x.re))) (pow (log x.re) 2)) (exp (* y.im (atan2 x.im x.re)))))))) (/ (* (cos (* y.im (log x.re))) (log x.re)) (exp (* y.im (atan2 x.im x.re))))))) (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* y.re (+ (* -1 (/ (* (sin (* y.im (log x.re))) (atan2 x.im x.re)) (exp (* y.im (atan2 x.im x.re))))) (+ (* y.re (+ (* -1 (/ (* (log x.re) (* (sin (* y.im (log x.re))) (atan2 x.im x.re))) (exp (* y.im (atan2 x.im x.re))))) (+ (* -1/2 (/ (* (cos (* y.im (log x.re))) (pow (atan2 x.im x.re) 2)) (exp (* y.im (atan2 x.im x.re))))) (+ (* 1/2 (/ (* (cos (* y.im (log x.re))) (pow (log x.re) 2)) (exp (* y.im (atan2 x.im x.re))))) (* y.re (+ (* -1/2 (/ (* (cos (* y.im (log x.re))) (* (log x.re) (pow (atan2 x.im x.re) 2))) (exp (* y.im (atan2 x.im x.re))))) (+ (* -1/2 (/ (* (pow (log x.re) 2) (* (sin (* y.im (log x.re))) (atan2 x.im x.re))) (exp (* y.im (atan2 x.im x.re))))) (+ (* 1/6 (/ (* (sin (* y.im (log x.re))) (pow (atan2 x.im x.re) 3)) (exp (* y.im (atan2 x.im x.re))))) (/ (* (cos (* y.im (log x.re))) (+ (* 1/24 (pow (log x.re) 3)) (* 1/8 (pow (log x.re) 3)))) (exp (* y.im (atan2 x.im x.re)))))))))))) (/ (* (cos (* y.im (log x.re))) (log x.re)) (exp (* y.im (atan2 x.im x.re))))))) (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(+ (* y.im (- (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (atan2 x.im x.re))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)))
(+ (* y.im (- (+ (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* y.im (- (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (log x.re) 2)))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (* (- (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (atan2 x.im x.re)))) (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (atan2 x.im x.re))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)))
(+ (* y.im (- (+ (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* y.im (- (+ (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (log x.re) 2)))) (* y.im (- (* 1/6 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (pow (log x.re) 3) (sin (* y.re (atan2 x.im x.re)))))) (+ (* 1/6 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (atan2 x.im x.re) 3)))) (+ (* 1/2 (* (- (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (atan2 x.im x.re)))) (pow (atan2 x.im x.re) 2))) (* (- (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (log x.re) 2)))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (* (- (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (atan2 x.im x.re)))) (atan2 x.im x.re)))) (atan2 x.im x.re))))))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (* (- (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (atan2 x.im x.re)))) (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (atan2 x.im x.re))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(/ (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)) (exp (* y.im (atan2 x.im x.re))))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (pow (exp (* -1/2 (* y.re (log (/ 1 x.re))))) 2))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (pow (exp (* -1/2 (* y.re (log (/ 1 x.re))))) 2))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (pow (exp (* -1/2 (* y.re (log (/ 1 x.re))))) 2))
(* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (pow (exp (* -1/2 (* y.re (log (/ 1 x.re))))) 2))
(* (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re))))))) 2))
(* (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re))))))) 2))
(* (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re))))))) 2))
(* (cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re))))))) 2))
(cos (* y.im (log x.re)))
(+ (cos (* y.im (log x.re))) (* y.re (+ (* -1 (* (sin (* y.im (log x.re))) (atan2 x.im x.re))) (* (cos (* y.im (log x.re))) (log x.re)))))
(+ (cos (* y.im (log x.re))) (* y.re (+ (* -1 (* (sin (* y.im (log x.re))) (atan2 x.im x.re))) (+ (* y.re (+ (* -1 (* (log x.re) (* (sin (* y.im (log x.re))) (atan2 x.im x.re)))) (+ (* -1/2 (* (cos (* y.im (log x.re))) (pow (atan2 x.im x.re) 2))) (* 1/2 (* (cos (* y.im (log x.re))) (pow (log x.re) 2)))))) (* (cos (* y.im (log x.re))) (log x.re))))))
(+ (cos (* y.im (log x.re))) (* y.re (+ (* -1 (* (sin (* y.im (log x.re))) (atan2 x.im x.re))) (+ (* y.re (+ (* -1 (* (log x.re) (* (sin (* y.im (log x.re))) (atan2 x.im x.re)))) (+ (* -1/2 (* (cos (* y.im (log x.re))) (pow (atan2 x.im x.re) 2))) (+ (* 1/2 (* (cos (* y.im (log x.re))) (pow (log x.re) 2))) (* y.re (+ (* -1/2 (* (cos (* y.im (log x.re))) (* (log x.re) (pow (atan2 x.im x.re) 2)))) (+ (* -1/2 (* (pow (log x.re) 2) (* (sin (* y.im (log x.re))) (atan2 x.im x.re)))) (+ (* 1/6 (* (sin (* y.im (log x.re))) (pow (atan2 x.im x.re) 3))) (* (cos (* y.im (log x.re))) (+ (* 1/24 (pow (log x.re) 3)) (* 1/8 (pow (log x.re) 3)))))))))))) (* (cos (* y.im (log x.re))) (log x.re))))))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(+ (* -1 (* y.im (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re))))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)))
(+ (* y.im (+ (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* -1/2 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (log x.re) 2))))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)))
(+ (* y.im (+ (* -1 (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))) (* y.im (+ (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (pow (log x.re) 2)))) (* 1/6 (* y.im (* (pow (exp (* 1/2 (* y.re (log x.re)))) 2) (* (pow (log x.re) 3) (sin (* y.re (atan2 x.im x.re))))))))))) (* (cos (* y.re (atan2 x.im x.re))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2)))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow (exp (* 1/2 (* y.re (log x.re)))) 2))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* -1/2 (* y.re (log (/ 1 x.re)))))
(exp (* -1/2 (* y.re (log (/ 1 x.re)))))
(exp (* -1/2 (* y.re (log (/ 1 x.re)))))
(exp (* -1/2 (* y.re (log (/ 1 x.re)))))
(exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re)))))))
(exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re)))))))
(exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re)))))))
(exp (* 1/2 (* y.re (+ (log -1) (* -1 (log (/ -1 x.re)))))))
1
(+ 1 (* 1/2 (* y.re (log x.re))))
(+ 1 (* y.re (+ (* 1/8 (* y.re (pow (log x.re) 2))) (* 1/2 (log x.re)))))
(+ 1 (* y.re (+ (* 1/2 (log x.re)) (* y.re (+ (* 1/48 (* y.re (pow (log x.re) 3))) (* 1/8 (pow (log x.re) 2)))))))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* 1/2 (* y.re (log x.re))))
(exp (* 1/2 (* y.re (log x.re))))
(* 1/2 y.re)
(* 1/2 y.re)
(* 1/2 y.re)
(* 1/2 y.re)
(* 1/2 y.re)
(* 1/2 y.re)
(* 1/2 y.re)
(* 1/2 y.re)
(* 1/2 y.re)
(* 1/2 y.re)
(* 1/2 y.re)
(* 1/2 y.re)
1
(+ 1 (* y.im (atan2 x.im x.re)))
(+ 1 (* y.im (+ (* 1/2 (* y.im (pow (atan2 x.im x.re) 2))) (atan2 x.im x.re))))
(+ 1 (* y.im (+ (* y.im (+ (* 1/6 (* y.im (pow (atan2 x.im x.re) 3))) (* 1/2 (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(+ (log -1) (* -1 (log x.re)))
(+ (log -1) (* -1 (log x.re)))
(+ (log -1) (* -1 (log x.re)))
(+ (log -1) (* -1 (log x.re)))
(+ (log -1) (log (/ 1 x.re)))
(+ (log -1) (log (/ 1 x.re)))
(+ (log -1) (log (/ 1 x.re)))
(+ (log -1) (log (/ 1 x.re)))
(log (/ -1 x.re))
(log (/ -1 x.re))
(log (/ -1 x.re))
(log (/ -1 x.re))
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(* -1 y.im)
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))) (* y.re (atan2 x.im x.re))))
(cos (* y.im (log x.re)))
(+ (cos (* y.im (log x.re))) (* -1 (* y.re (* (sin (* y.im (log x.re))) (atan2 x.im x.re)))))
(+ (cos (* y.im (log x.re))) (* y.re (- (* -1/2 (* y.re (* (cos (* y.im (log x.re))) (pow (atan2 x.im x.re) 2)))) (* (sin (* y.im (log x.re))) (atan2 x.im x.re)))))
(+ (cos (* y.im (log x.re))) (* y.re (- (* y.re (+ (* -1/2 (* (cos (* y.im (log x.re))) (pow (atan2 x.im x.re) 2))) (* 1/6 (* y.re (* (sin (* y.im (log x.re))) (pow (atan2 x.im x.re) 3)))))) (* (sin (* y.im (log x.re))) (atan2 x.im x.re)))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (* y.re (atan2 x.im x.re)))
(+ (cos (* y.re (atan2 x.im x.re))) (* -1 (* y.im (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))))
(+ (cos (* y.re (atan2 x.im x.re))) (* y.im (- (* -1/2 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log x.re) 2)))) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))))
(+ (cos (* y.re (atan2 x.im x.re))) (* y.im (- (* y.im (+ (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (pow (log x.re) 2))) (* 1/6 (* y.im (* (pow (log x.re) 3) (sin (* y.re (atan2 x.im x.re)))))))) (* (log x.re) (sin (* y.re (atan2 x.im x.re)))))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))

Outputs
(/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re))))
(/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))
(+.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 y.re (pow.f64 x.re y.re)) x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (pow x.re y.re)) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.im 2) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))
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(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))

eval165.0ms (0.9%)

Compiler: Compiled 36317 to 2347 computations (93.5% saved)

prune171.0ms (1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	1191	14	1205
Fresh	9	10	19
Picked	4	1	5
Done	0	0	0
Total	1204	25	1229

Accuracy

97.5%

Counts

1229 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(pow.f64 (hypot.f64 x.re x.im) y.re)
	59.2%	(pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)
▶	61.1%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
	21.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 x.re) #s(literal 2 binary64)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
	29.6%	(/.f64 (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))))) #s(literal 1 binary64))
	26.4%	(/.f64 (.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))) (-.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.im (log.f64 x.re)) #s(literal 2 binary64)))))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
	59.6%	(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	29.3%	(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
	14.5%	(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)))
	14.2%	(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) #s(literal 1 binary64))
	57.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (.f64 y.im (log.f64 x.re)))))
	55.5%	(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
▶	23.4%	(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
▶	25.0%	(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
▶	16.5%	(+.f64 #s(literal 1 binary64) (.f64 y.im (-.f64 (.f64 y.im (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (atan2.f64 x.im x.re))))
	39.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.re y.re)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	11.4%	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x.im)) (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re))))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
	20.2%	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x.re))))))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))))
	40.6%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
	36.2%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	17.9%	(.f64 (cos.f64 (.f64 y.im (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))))
▶	29.8%	(neg.f64 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
	22.6%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) (neg.f64 y.re)))
✓	23.2%	#s(literal 1 binary64)

Compiler

Compiled 991 to 659 computations (33.5% saved)

simplify172.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 y.im (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))))
✓	cost-diff	6080	(-.f64 (.f64 y.im (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (atan2.f64 x.im x.re))
✓	cost-diff	6080	(.f64 y.im (-.f64 (.f64 y.im (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (atan2.f64 x.im x.re)))
✓	cost-diff	6080	(+.f64 #s(literal 1 binary64) (.f64 y.im (-.f64 (.f64 y.im (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (atan2.f64 x.im x.re))))
✓	cost-diff	0	(*.f64 y.im (log.f64 x.re))
✓	cost-diff	0	(cos.f64 (*.f64 y.im (log.f64 x.re)))
✓	cost-diff	0	(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
✓	cost-diff	192	(neg.f64 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
✓	cost-diff	320	(sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))
✓	cost-diff	320	(log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
✓	cost-diff	320	(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
✓	cost-diff	320	(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
✓	cost-diff	0	(atan2.f64 x.im x.re)
✓	cost-diff	0	(*.f64 y.im (atan2.f64 x.im x.re))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
✓	cost-diff	0	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))

Rules

2848×	`-lowering-.f32`
2848×	`-lowering-.f64`
1614×	`+-lowering-+.f64`
1614×	`+-lowering-+.f32`
1538×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	305
1	87	287
2	173	284
3	445	284
4	1341	284
5	4501	284
0	8172	284

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 0 (pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2))) (- 0 (exp (* (atan2 x.im x.re) y.im))))
(- 0 (pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2)))
0
(pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2))
(+ (* x.re x.re) (* x.im x.im))
(* x.re x.re)
x.re
(* x.im x.im)
x.im
(/ y.re 2)
y.re
2
(- 0 (exp (* (atan2 x.im x.re) y.im)))
(exp (* (atan2 x.im x.re) y.im))
(* (atan2 x.im x.re) y.im)
(atan2 x.im x.re)
y.im
(- 1 (* y.im (atan2 x.im x.re)))
1
(* y.im (atan2 x.im x.re))
y.im
(atan2 x.im x.re)
x.im
x.re
(+ 1 (* y.re (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))
1
(* y.re (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))
y.re
(log (sqrt (+ (* x.im x.im) (* x.re x.re))))
(sqrt (+ (* x.im x.im) (* x.re x.re)))
(+ (* x.im x.im) (* x.re x.re))
(* x.im x.im)
x.im
(* x.re x.re)
x.re
(neg (/ (cos (* y.im (log x.re))) (- 0 (exp (* (atan2 x.im x.re) y.im)))))
(/ (cos (* y.im (log x.re))) (- 0 (exp (* (atan2 x.im x.re) y.im))))
(cos (* y.im (log x.re)))
(* y.im (log x.re))
y.im
(log x.re)
x.re
(- 0 (exp (* (atan2 x.im x.re) y.im)))
0
(exp (* (atan2 x.im x.re) y.im))
(* (atan2 x.im x.re) y.im)
(atan2 x.im x.re)
x.im
(+ 1 (* y.im (- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
1
(* y.im (- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
y.im
(- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))
-1/2
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(pow (log x.re) 2)
(log x.re)
x.re
2
(pow (atan2 x.im x.re) 2)
(atan2 x.im x.re)
x.im

Outputs
(/ (- 0 (pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2))) (- 0 (exp (* (atan2 x.im x.re) y.im))))
(/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(- 0 (pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2)))
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))))
0
#s(literal 0 binary64)
(pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2))
(pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))
(+ (* x.re x.re) (* x.im x.im))
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(/ y.re 2)
(/.f64 y.re #s(literal 2 binary64))
y.re
2
#s(literal 2 binary64)
(- 0 (exp (* (atan2 x.im x.re) y.im)))
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp (* (atan2 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(* (atan2 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
y.im
(- 1 (* y.im (atan2 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.im))
1
#s(literal 1 binary64)
(* y.im (atan2 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
y.im
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
x.im
x.re
(+ 1 (* y.re (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))))
1
#s(literal 1 binary64)
(* y.re (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
y.re
(log (sqrt (+ (* x.im x.im) (* x.re x.re))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt (+ (* x.im x.im) (* x.re x.re)))
(hypot.f64 x.re x.im)
(+ (* x.im x.im) (* x.re x.re))
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(neg (/ (cos (* y.im (log x.re))) (- 0 (exp (* (atan2 x.im x.re) y.im)))))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(/ (cos (* y.im (log x.re))) (- 0 (exp (* (atan2 x.im x.re) y.im))))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(cos (* y.im (log x.re)))
(cos.f64 (*.f64 y.im (log.f64 x.re)))
(* y.im (log x.re))
(*.f64 y.im (log.f64 x.re))
y.im
(log x.re)
(log.f64 x.re)
x.re
(- 0 (exp (* (atan2 x.im x.re) y.im)))
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
0
#s(literal 0 binary64)
(exp (* (atan2 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(* (atan2 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
x.im
(+ 1 (* y.im (- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.im (+.f64 (.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (.f64 y.im #s(literal -1/2 binary64))) (.f64 (atan2.f64 x.im x.re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (atan2.f64 x.im x.re) y.im) #s(literal 1/2 binary64)))))))
1
#s(literal 1 binary64)
(* y.im (- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(.f64 y.im (+.f64 (.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (.f64 y.im #s(literal -1/2 binary64))) (.f64 (atan2.f64 x.im x.re) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (atan2.f64 x.im x.re) y.im) #s(literal 1/2 binary64))))))
y.im
(- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(+.f64 (.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (.f64 y.im #s(literal -1/2 binary64))) (.f64 (atan2.f64 x.im x.re) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 (atan2.f64 x.im x.re) y.im) #s(literal 1/2 binary64)))))
(* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (.f64 y.im #s(literal -1/2 binary64)))
(* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
-1/2
#s(literal -1/2 binary64)
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(pow (log x.re) 2)
(pow.f64 (log.f64 x.re) #s(literal 2 binary64))
(log x.re)
(log.f64 x.re)
x.re
2
#s(literal 2 binary64)
(pow (atan2 x.im x.re) 2)
(pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))
(atan2 x.im x.re)
(atan2.f64 x.im x.re)
x.im

localize264.0ms (1.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 y.im (-.f64 (.f64 y.im (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (atan2.f64 x.im x.re)))
✓	accuracy	99.9%	(.f64 y.im (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))))
✓	accuracy	99.6%	(pow.f64 (log.f64 x.re) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
✓	accuracy	99.9%	(*.f64 y.im (log.f64 x.re))
✓	accuracy	98.8%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	accuracy	86.6%	(cos.f64 (*.f64 y.im (log.f64 x.re)))
✓	accuracy	100.0%	(log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
✓	accuracy	99.8%	(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
✓	accuracy	78.9%	(sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))
✓	accuracy	100.0%	(atan2.f64 x.im x.re)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
✓	accuracy	98.8%	(*.f64 y.im (atan2.f64 x.im x.re))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
✓	accuracy	98.8%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	accuracy	88.7%	(pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))

Results

53.0ms	16×	5	exit
49.0ms	38×	1	valid
48.0ms	101×	0	invalid
33.0ms	69×	0	valid
14.0ms	32×	0	unsamplable

Compiler

Compiled 354 to 40 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 22.0ms (20.5% of total)

ival-pow: 17.0ms (15.8% of total)

ival-atan2: 15.0ms (14% of total)

ival-sub: 11.0ms (10.2% of total)

backward-pass: 10.0ms (9.3% of total)

ival-log: 9.0ms (8.4% of total)

ival-add: 6.0ms (5.6% of total)

ival-div: 6.0ms (5.6% of total)

ival-cos: 4.0ms (3.7% of total)

ival-exp: 2.0ms (1.9% of total)

ival-sqrt: 2.0ms (1.9% of total)

ival-neg: 2.0ms (1.9% of total)

const: 1.0ms (0.9% of total)

series117.0ms (0.7%)

Counts

24 → 744

Calls

Call 1

Inputs
#<alt (/ (- 0 (pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2))) (- 0 (exp (* (atan2 x.im x.re) y.im))))>
#<alt (- 0 (pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2)))>
#<alt (pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2))>
#<alt (+ (* x.re x.re) (* x.im x.im))>
#<alt (- 1 (* y.im (atan2 x.im x.re)))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (atan2 x.im x.re)>
#<alt (+ 1 (* y.re (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))>
#<alt (* y.re (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))>
#<alt (log (sqrt (+ (* x.im x.im) (* x.re x.re))))>
#<alt (sqrt (+ (* x.im x.im) (* x.re x.re)))>
#<alt (neg (/ (cos (* y.im (log x.re))) (- 0 (exp (* (atan2 x.im x.re) y.im)))))>
#<alt (/ (cos (* y.im (log x.re))) (- 0 (exp (* (atan2 x.im x.re) y.im))))>
#<alt (cos (* y.im (log x.re)))>
#<alt (* y.im (log x.re))>
#<alt (+ 1 (* y.im (- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))>
#<alt (* y.im (- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))>
#<alt (- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))>
#<alt (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* (atan2 x.im x.re) y.im)>
#<alt (exp (* (atan2 x.im x.re) y.im))>
#<alt (* x.im x.im)>
#<alt (pow (log x.re) 2)>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>

Outputs
#<alt (/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2)))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.re 2) (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2)))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (/ (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.re 2) (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))))>
#<alt (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/48 (* (pow x.im 6) (pow y.re 3))) (* 1/6 (* (pow x.im 6) y.re))))) (* (pow x.re 6) (exp (* y.im (atan2 x.im x.re))))))))>
#<alt (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))))>
#<alt (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/48 (* (pow x.im 6) (pow y.re 3))) (* 1/6 (* (pow x.im 6) y.re))))) (* (pow x.re 6) (exp (* y.im (atan2 x.im x.re))))))))>
#<alt (/ (exp (* 1/2 (* y.re (log (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* 1/2 (* y.re (log (pow x.re 2))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* 1/2 (* y.re (log (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.re 2)))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.im 2) (* (exp (* 1/2 (* y.re (log (pow x.re 2))))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))))) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* 1/2 (* y.re (log (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.re 2)))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.im 2) (+ (/ (* (exp (* 1/2 (* y.re (log (pow x.re 2))))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.im 2) (* (exp (* 1/2 (* y.re (log (pow x.re 2))))) (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (exp (* 1/2 (* y.re (log (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/48 (* (pow x.re 6) (pow y.re 3))) (* 1/6 (* (pow x.re 6) y.re))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re))))))))>
#<alt (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/48 (* (pow x.re 6) (pow y.re 3))) (* 1/6 (* (pow x.re 6) y.re))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re))))))))>
#<alt (/ 1 (exp (* y.im (atan2 x.im x.re))))>
#<alt (+ (* 1/2 (/ (* y.re (log (+ (pow x.im 2) (pow x.re 2)))) (exp (* y.im (atan2 x.im x.re))))) (/ 1 (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* y.re (+ (* 1/8 (/ (* y.re (pow (log (+ (pow x.im 2) (pow x.re 2))) 2)) (exp (* y.im (atan2 x.im x.re))))) (* 1/2 (/ (log (+ (pow x.im 2) (pow x.re 2))) (exp (* y.im (atan2 x.im x.re))))))) (/ 1 (exp (* y.im (atan2 x.im x.re)))))>
#<alt (+ (* y.re (+ (* 1/2 (/ (log (+ (pow x.im 2) (pow x.re 2))) (exp (* y.im (atan2 x.im x.re))))) (* y.re (+ (* 1/48 (/ (* y.re (pow (log (+ (pow x.im 2) (pow x.re 2))) 3)) (exp (* y.im (atan2 x.im x.re))))) (* 1/8 (/ (pow (log (+ (pow x.im 2) (pow x.re 2))) 2) (exp (* y.im (atan2 x.im x.re))))))))) (/ 1 (exp (* y.im (atan2 x.im x.re)))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))))>
#<alt (+ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (* -1 (* y.im (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))>
#<alt (+ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (* y.im (- (* -1 (* y.im (+ (* -1 (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2))) (* 1/2 (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2)))))) (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))>
#<alt (+ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (* y.im (- (* y.im (- (* -1 (* y.im (+ (* -1 (* (+ (* -1 (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2))) (* 1/2 (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))) (+ (* -1/2 (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 3))) (* 1/6 (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 3))))))) (+ (* -1 (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2))) (* 1/2 (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2)))))) (* (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (* -1 (exp (* 1/2 (* y.re (log (pow x.im 2))))))>
#<alt (- (* -1/2 (/ (* (pow x.re 2) (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2))))))) (pow x.im 2))) (exp (* 1/2 (* y.re (log (pow x.im 2))))))>
#<alt (- (* (pow x.re 2) (- (* -1 (* (pow x.re 2) (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))))) (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2)))))) (pow x.im 2))))) (exp (* 1/2 (* y.re (log (pow x.im 2))))))>
#<alt (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (* (pow x.re 2) (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6)))))))) (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))))) (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2)))))) (pow x.im 2))))) (exp (* 1/2 (* y.re (log (pow x.im 2))))))>
#<alt (* -1 (exp (* -1 (* y.re (log (/ 1 x.re))))))>
#<alt (- (* -1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (pow x.re 2))) (exp (* -1 (* y.re (log (/ 1 x.re))))))>
#<alt (- (* -1 (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4))) (+ (exp (* -1 (* y.re (log (/ 1 x.re))))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (pow x.re 2)))))>
#<alt (- (* -1 (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/48 (* (pow x.im 6) (pow y.re 3))) (* 1/6 (* (pow x.im 6) y.re))))) (pow x.re 6))) (+ (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (pow x.re 2))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4)))))>
#<alt (* -1 (exp (* -1 (* y.re (log (/ -1 x.re))))))>
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#<alt (* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ 1 y.re)))>
#<alt (* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ 1 y.re)))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* -1 (* y.re (- (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ 1 y.re))))>
#<alt (* -1 (* y.re (- (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ 1 y.re))))>
#<alt (* -1 (* y.re (- (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ 1 y.re))))>
#<alt (+ 1 (* y.re (log x.re)))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))) (* y.re (log x.re))))>
#<alt (+ 1 (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.re) (pow x.re 4))) (* 1/2 (/ y.re (pow x.re 2)))))))>
#<alt (+ 1 (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.re (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.re) (pow x.re 6)))))))))>
#<alt (+ 1 (* -1 (* y.re (log (/ 1 x.im)))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))))>
#<alt (+ 1 (* -1 (* y.re (log (/ -1 x.im)))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))))>
#<alt (+ 1 (* y.re (log x.im)))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))) (* y.re (log x.im))))>
#<alt (+ 1 (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2)))))))>
#<alt (+ 1 (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6)))))))))>
#<alt (+ 1 (* -1 (* y.re (log (/ 1 x.re)))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))))>
#<alt (+ 1 (* -1 (* y.re (log (/ -1 x.re)))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))>
#<alt (+ 1 (+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))>
#<alt (* y.re (log x.re))>
#<alt (+ (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))) (* y.re (log x.re)))>
#<alt (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.re) (pow x.re 4))) (* 1/2 (/ y.re (pow x.re 2))))))>
#<alt (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.re (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.re) (pow x.re 6))))))))>
#<alt (* -1 (* y.re (log (/ 1 x.im))))>
#<alt (+ (* -1 (* y.re (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))>
#<alt (+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))>
#<alt (+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))>
#<alt (* -1 (* y.re (log (/ -1 x.im))))>
#<alt (+ (* -1 (* y.re (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))>
#<alt (+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))>
#<alt (+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))>
#<alt (* y.re (log x.im))>
#<alt (+ (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))) (* y.re (log x.im)))>
#<alt (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2))))))>
#<alt (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6))))))))>
#<alt (* -1 (* y.re (log (/ 1 x.re))))>
#<alt (+ (* -1 (* y.re (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))>
#<alt (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))>
#<alt (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))>
#<alt (* -1 (* y.re (log (/ -1 x.re))))>
#<alt (+ (* -1 (* y.re (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))>
#<alt (+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))>
#<alt (+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))>
#<alt (log x.re)>
#<alt (+ (log x.re) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (+ (log x.re) (* (pow x.im 2) (+ (* -1/4 (/ (pow x.im 2) (pow x.re 4))) (* 1/2 (/ 1 (pow x.re 2))))))>
#<alt (+ (log x.re) (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/6 (/ (pow x.im 2) (pow x.re 6))) (* 1/4 (/ 1 (pow x.re 4))))) (* 1/2 (/ 1 (pow x.re 2))))))>
#<alt (* -1 (log (/ 1 x.im)))>
#<alt (+ (* -1 (log (/ 1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (+ (* -1 (log (/ 1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (+ (* -1 (log (/ 1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (log (/ -1 x.im)))>
#<alt (+ (* -1 (log (/ -1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (+ (* -1 (log (/ -1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (+ (* -1 (log (/ -1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (log x.im)>
#<alt (+ (log x.im) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (+ (log x.im) (* (pow x.re 2) (+ (* -1/4 (/ (pow x.re 2) (pow x.im 4))) (* 1/2 (/ 1 (pow x.im 2))))))>
#<alt (+ (log x.im) (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/6 (/ (pow x.re 2) (pow x.im 6))) (* 1/4 (/ 1 (pow x.im 4))))) (* 1/2 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (log (/ 1 x.re)))>
#<alt (+ (* -1 (log (/ 1 x.re))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (+ (* -1 (log (/ 1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (+ (* -1 (log (/ 1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* -1 (log (/ -1 x.re)))>
#<alt (+ (* -1 (log (/ -1 x.re))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (+ (* -1 (log (/ -1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (+ (* -1 (log (/ -1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt x.re>
#<alt (+ x.re (* 1/2 (/ (pow x.im 2) x.re)))>
#<alt (+ x.re (* (pow x.im 2) (+ (* -1/8 (/ (pow x.im 2) (pow x.re 3))) (* 1/2 (/ 1 x.re)))))>
#<alt (+ x.re (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/16 (/ (pow x.im 2) (pow x.re 5))) (* 1/8 (/ 1 (pow x.re 3))))) (* 1/2 (/ 1 x.re)))))>
#<alt x.im>
#<alt (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 x.im)>
#<alt (* -1 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))))>
#<alt x.im>
#<alt (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))>
#<alt (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))>
#<alt (+ x.im (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/16 (/ (pow x.re 2) (pow x.im 5))) (* 1/8 (/ 1 (pow x.im 3))))) (* 1/2 (/ 1 x.im)))))>
#<alt x.re>
#<alt (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 x.re)>
#<alt (* -1 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))>
#<alt (* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (* y.im (atan2 x.im x.re))))>
#<alt (+ 1 (* y.im (- (* y.im (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2))))) (atan2 x.im x.re))))>
#<alt (+ 1 (* y.im (- (* y.im (- (* -1 (* y.im (+ (* -1/2 (pow (atan2 x.im x.re) 3)) (+ (* 1/6 (pow (atan2 x.im x.re) 3)) (* (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))))) (* -1 (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2))))))) (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))>
#<alt -1>
#<alt (- (* y.im (atan2 x.im x.re)) 1)>
#<alt (- (* y.im (+ (* -1 (* y.im (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2)))))) (atan2 x.im x.re))) 1)>
#<alt (- (* y.im (+ (* y.im (+ (* -1 (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2))))) (* y.im (+ (* -1/2 (pow (atan2 x.im x.re) 3)) (+ (* 1/6 (pow (atan2 x.im x.re) 3)) (* (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))))) (atan2 x.im x.re))) 1)>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))>
#<alt (* -1 (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))>
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#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (* y.im (atan2 x.im x.re))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt 1>
#<alt (+ 1 (* y.im (atan2 x.im x.re)))>
#<alt (+ 1 (* y.im (+ (* 1/2 (* y.im (pow (atan2 x.im x.re) 2))) (atan2 x.im x.re))))>
#<alt (+ 1 (* y.im (+ (* y.im (+ (* 1/6 (* y.im (pow (atan2 x.im x.re) 3))) (* 1/2 (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (exp (* y.im (atan2 x.im x.re)))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow (log x.re) 2)>
#<alt (pow (log x.re) 2)>
#<alt (pow (log x.re) 2)>
#<alt (pow (log x.re) 2)>
#<alt (pow (log (/ 1 x.re)) 2)>
#<alt (pow (log (/ 1 x.re)) 2)>
#<alt (pow (log (/ 1 x.re)) 2)>
#<alt (pow (log (/ 1 x.re)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2)>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>
#<alt (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))>

Calls

186 calls:

Time	Variable		Point	Expression
43.0ms	y.im	@	inf	(/ (- 0 (pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2))) (- 0 (exp (* (atan2 x.im x.re) y.im))))
14.0ms	y.im	@	-inf	(neg (/ (cos (* y.im (log x.re))) (- 0 (exp (* (atan2 x.im x.re) y.im)))))
9.0ms	y.im	@	inf	(neg (/ (cos (* y.im (log x.re))) (- 0 (exp (* (atan2 x.im x.re) y.im)))))
3.0ms	y.im	@	0	(* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
2.0ms	x.re	@	-inf	(+ 1 (* y.im (- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))

rewrite338.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3348×	`-lowering-.f32`
3348×	`-lowering-.f64`
2816×	`/-lowering-/.f32`
2816×	`/-lowering-/.f64`
2156×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	212
1	225	195
2	1891	182
0	9392	182

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 632

Calls

Call 1

Inputs
(/ (- 0 (pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2))) (- 0 (exp (* (atan2 x.im x.re) y.im))))
(- 0 (pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2)))
(pow (+ (* x.re x.re) (* x.im x.im)) (/ y.re 2))
(+ (* x.re x.re) (* x.im x.im))
(- 1 (* y.im (atan2 x.im x.re)))
(* y.im (atan2 x.im x.re))
(atan2 x.im x.re)
(+ 1 (* y.re (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))
(* y.re (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))
(log (sqrt (+ (* x.im x.im) (* x.re x.re))))
(sqrt (+ (* x.im x.im) (* x.re x.re)))
(neg (/ (cos (* y.im (log x.re))) (- 0 (exp (* (atan2 x.im x.re) y.im)))))
(/ (cos (* y.im (log x.re))) (- 0 (exp (* (atan2 x.im x.re) y.im))))
(cos (* y.im (log x.re)))
(* y.im (log x.re))
(+ 1 (* y.im (- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(* y.im (- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(- (* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(* y.im (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* (atan2 x.im x.re) y.im)
(exp (* (atan2 x.im x.re) y.im))
(* x.im x.im)
(pow (log x.re) 2)
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (/.f64 #s(literal 2 binary64) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (/.f64 y.re #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (/.f64 y.re #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (/.f64 y.re #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (*.f64 (/.f64 y.re #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))))) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (/.f64 y.re #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (exp.f64 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) #s(literal 2 binary64)))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (exp.f64 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))))) (/.f64 (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (/.f64 y.re #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))))
(neg.f64 (/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 6 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 6 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 6 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (-.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64)) (*.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 6 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 6 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 6 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (-.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64)) (*.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x.re) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 6 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64))) (pow.f64 (log.f64 x.re) #s(literal 6 binary64))) (+.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64)) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (log.f64 x.re) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 6 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 6 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log.f64 x.re) #s(literal 4 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))))
(*.f64 (+.f64 (log.f64 x.re) (atan2.f64 x.im x.re)) (-.f64 (log.f64 x.re) (atan2.f64 x.im x.re)))

simplify458.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

5826×	`-lowering-.f32`
5826×	`-lowering-.f64`
4434×	`+-lowering-+.f64`
4434×	`+-lowering-+.f32`
1922×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	820	12652
1	2784	10955
0	8663	10955

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

Inputs
(/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2)))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.re 2) (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2)))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (/ (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.re 2) (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re)))))
(/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/48 (* (pow x.im 6) (pow y.re 3))) (* 1/6 (* (pow x.im 6) y.re))))) (* (pow x.re 6) (exp (* y.im (atan2 x.im x.re))))))))
(/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.re))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/48 (* (pow x.im 6) (pow y.re 3))) (* 1/6 (* (pow x.im 6) y.re))))) (* (pow x.re 6) (exp (* y.im (atan2 x.im x.re))))))))
(/ (exp (* 1/2 (* y.re (log (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* 1/2 (* y.re (log (pow x.re 2))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* 1/2 (* y.re (log (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.re 2)))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.im 2) (* (exp (* 1/2 (* y.re (log (pow x.re 2))))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))))) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* 1/2 (* y.re (log (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.re 2)))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.im 2) (+ (/ (* (exp (* 1/2 (* y.re (log (pow x.re 2))))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.im 2) (* (exp (* 1/2 (* y.re (log (pow x.re 2))))) (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (exp (* 1/2 (* y.re (log (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))
(/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (+ (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re))))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/48 (* (pow x.re 6) (pow y.re 3))) (* 1/6 (* (pow x.re 6) y.re))))) (* (pow x.im 6) (exp (* y.im (atan2 x.im x.re))))))))
(/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re)))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ -1 x.im))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))))
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(/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))
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(/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))
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(/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))
(/ (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))) (exp (* y.im (atan2 x.im x.re))))
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(* -1 (exp (* 1/2 (* y.re (log (pow x.re 2))))))
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(* -1 (exp (* -1 (* y.re (log (/ -1 x.im))))))
(- (* -1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (pow x.im 2))) (exp (* -1 (* y.re (log (/ -1 x.im))))))
(- (* -1 (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4))) (+ (exp (* -1 (* y.re (log (/ -1 x.im))))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (pow x.im 2)))))
(- (* -1 (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/48 (* (pow x.re 6) (pow y.re 3))) (* 1/6 (* (pow x.re 6) y.re))))) (pow x.im 6))) (+ (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (pow x.im 2))) (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4)))))
-1
(- (* -1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))) 1)
(- (* y.re (- (* -1/8 (* y.re (pow (log (+ (pow x.im 2) (pow x.re 2))) 2))) (* 1/2 (log (+ (pow x.im 2) (pow x.re 2)))))) 1)
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(* -1 (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))))
(* -1 (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))))
(* -1 (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))))
(* -1 (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))))
(* -1 (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))))
(* -1 (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))))
(* -1 (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))))
(* -1 (exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2)))))))
(exp (* 1/2 (* y.re (log (pow x.im 2)))))
(+ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2))))))) (pow x.im 2))))
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(exp (* -1 (* y.re (log (/ 1 x.re)))))
(+ (exp (* -1 (* y.re (log (/ 1 x.re))))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (pow x.re 2))))
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(exp (* -1 (* y.re (log (/ -1 x.re)))))
(+ (exp (* -1 (* y.re (log (/ -1 x.re))))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.re))))))) (pow x.re 2))))
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(exp (* 1/2 (* y.re (log (pow x.re 2)))))
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(exp (* -1 (* y.re (log (/ 1 x.im)))))
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(exp (* -1 (* y.re (log (/ -1 x.im)))))
(+ (exp (* -1 (* y.re (log (/ -1 x.im))))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (pow x.im 2))))
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(+ (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ -1 x.im))))))) (pow x.im 2))) (+ (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4)) (/ (* (exp (* -1 (* y.re (log (/ -1 x.im))))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/48 (* (pow x.re 6) (pow y.re 3))) (* 1/6 (* (pow x.re 6) y.re))))) (pow x.im 6)))))
1
(+ 1 (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))))
(+ 1 (* y.re (+ (* 1/8 (* y.re (pow (log (+ (pow x.im 2) (pow x.re 2))) 2))) (* 1/2 (log (+ (pow x.im 2) (pow x.re 2)))))))
(+ 1 (* y.re (+ (* 1/2 (log (+ (pow x.im 2) (pow x.re 2)))) (* y.re (+ (* 1/48 (* y.re (pow (log (+ (pow x.im 2) (pow x.re 2))) 3))) (* 1/8 (pow (log (+ (pow x.im 2) (pow x.re 2))) 2)))))))
(exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))))
(exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))))
(exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))))
(exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))))
(exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))))
(exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))))
(exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))))
(exp (* 1/2 (* y.re (log (+ (pow x.im 2) (pow x.re 2))))))
(pow x.im 2)
(+ (pow x.im 2) (pow x.re 2))
(+ (pow x.im 2) (pow x.re 2))
(+ (pow x.im 2) (pow x.re 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 2)
(+ (pow x.im 2) (pow x.re 2))
(+ (pow x.im 2) (pow x.re 2))
(+ (pow x.im 2) (pow x.re 2))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
1
(+ 1 (* -1 (* y.im (atan2 x.im x.re))))
(+ 1 (* -1 (* y.im (atan2 x.im x.re))))
(+ 1 (* -1 (* y.im (atan2 x.im x.re))))
(* -1 (* y.im (atan2 x.im x.re)))
(* y.im (- (/ 1 y.im) (atan2 x.im x.re)))
(* y.im (- (/ 1 y.im) (atan2 x.im x.re)))
(* y.im (- (/ 1 y.im) (atan2 x.im x.re)))
(* -1 (* y.im (atan2 x.im x.re)))
(* y.im (+ (* -1 (atan2 x.im x.re)) (/ 1 y.im)))
(* y.im (+ (* -1 (atan2 x.im x.re)) (/ 1 y.im)))
(* y.im (+ (* -1 (atan2 x.im x.re)) (/ 1 y.im)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(- 1 (* y.im (atan2 x.im x.re)))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
(atan2 x.im x.re)
1
(+ 1 (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(+ 1 (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(+ 1 (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ 1 y.re)))
(* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ 1 y.re)))
(* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ 1 y.re)))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* -1 (* y.re (- (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ 1 y.re))))
(* -1 (* y.re (- (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ 1 y.re))))
(* -1 (* y.re (- (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (/ 1 y.re))))
(+ 1 (* y.re (log x.re)))
(+ 1 (+ (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))) (* y.re (log x.re))))
(+ 1 (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.re) (pow x.re 4))) (* 1/2 (/ y.re (pow x.re 2)))))))
(+ 1 (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.re (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.re) (pow x.re 6)))))))))
(+ 1 (* -1 (* y.re (log (/ 1 x.im)))))
(+ 1 (+ (* -1 (* y.re (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))
(+ 1 (+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))
(+ 1 (+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))))
(+ 1 (* -1 (* y.re (log (/ -1 x.im)))))
(+ 1 (+ (* -1 (* y.re (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))
(+ 1 (+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))
(+ 1 (+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))))
(+ 1 (* y.re (log x.im)))
(+ 1 (+ (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))) (* y.re (log x.im))))
(+ 1 (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2)))))))
(+ 1 (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6)))))))))
(+ 1 (* -1 (* y.re (log (/ 1 x.re)))))
(+ 1 (+ (* -1 (* y.re (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))
(+ 1 (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))
(+ 1 (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))))
(+ 1 (* -1 (* y.re (log (/ -1 x.re)))))
(+ 1 (+ (* -1 (* y.re (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))
(+ 1 (+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))
(+ 1 (+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))
(* y.re (log x.re))
(+ (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))) (* y.re (log x.re)))
(+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.re) (pow x.re 4))) (* 1/2 (/ y.re (pow x.re 2))))))
(+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.re (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.re) (pow x.re 6))))))))
(* -1 (* y.re (log (/ 1 x.im))))
(+ (* -1 (* y.re (log (/ 1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))
(+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))
(+ (* -1 (* y.re (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))
(* -1 (* y.re (log (/ -1 x.im))))
(+ (* -1 (* y.re (log (/ -1 x.im)))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))
(+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2)))))
(+ (* -1 (* y.re (log (/ -1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.re) (pow x.im 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))))))
(* y.re (log x.im))
(+ (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))) (* y.re (log x.im)))
(+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2))))))
(+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6))))))))
(* -1 (* y.re (log (/ 1 x.re))))
(+ (* -1 (* y.re (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))
(+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))
(+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))
(* -1 (* y.re (log (/ -1 x.re))))
(+ (* -1 (* y.re (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))
(+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))
(+ (* -1 (* y.re (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))
(log x.re)
(+ (log x.re) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))
(+ (log x.re) (* (pow x.im 2) (+ (* -1/4 (/ (pow x.im 2) (pow x.re 4))) (* 1/2 (/ 1 (pow x.re 2))))))
(+ (log x.re) (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/6 (/ (pow x.im 2) (pow x.re 6))) (* 1/4 (/ 1 (pow x.re 4))))) (* 1/2 (/ 1 (pow x.re 2))))))
(* -1 (log (/ 1 x.im)))
(+ (* -1 (log (/ 1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))
(+ (* -1 (log (/ 1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(+ (* -1 (log (/ 1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (log (/ -1 x.im)))
(+ (* -1 (log (/ -1 x.im))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))
(+ (* -1 (log (/ -1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(+ (* -1 (log (/ -1 x.im))) (+ (* -1/4 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(log x.im)
(+ (log x.im) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))
(+ (log x.im) (* (pow x.re 2) (+ (* -1/4 (/ (pow x.re 2) (pow x.im 4))) (* 1/2 (/ 1 (pow x.im 2))))))
(+ (log x.im) (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/6 (/ (pow x.re 2) (pow x.im 6))) (* 1/4 (/ 1 (pow x.im 4))))) (* 1/2 (/ 1 (pow x.im 2))))))
(* -1 (log (/ 1 x.re)))
(+ (* -1 (log (/ 1 x.re))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))
(+ (* -1 (log (/ 1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))
(+ (* -1 (log (/ 1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (log (/ -1 x.re)))
(+ (* -1 (log (/ -1 x.re))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))
(+ (* -1 (log (/ -1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))
(+ (* -1 (log (/ -1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
x.re
(+ x.re (* 1/2 (/ (pow x.im 2) x.re)))
(+ x.re (* (pow x.im 2) (+ (* -1/8 (/ (pow x.im 2) (pow x.re 3))) (* 1/2 (/ 1 x.re)))))
(+ x.re (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/16 (/ (pow x.im 2) (pow x.re 5))) (* 1/8 (/ 1 (pow x.re 3))))) (* 1/2 (/ 1 x.re)))))
x.im
(* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))
(* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 x.im)
(* -1 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))))
x.im
(+ x.im (* 1/2 (/ (pow x.re 2) x.im)))
(+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))
(+ x.im (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/16 (/ (pow x.re 2) (pow x.im 5))) (* 1/8 (/ 1 (pow x.im 3))))) (* 1/2 (/ 1 x.im)))))
x.re
(* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))
(* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
(* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 x.re)
(* -1 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))
1
(+ 1 (* -1 (* y.im (atan2 x.im x.re))))
(+ 1 (* y.im (- (* y.im (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2))))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* y.im (- (* -1 (* y.im (+ (* -1/2 (pow (atan2 x.im x.re) 3)) (+ (* 1/6 (pow (atan2 x.im x.re) 3)) (* (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))))) (* -1 (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2))))))) (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
(/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re))))
-1
(- (* y.im (atan2 x.im x.re)) 1)
(- (* y.im (+ (* -1 (* y.im (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2)))))) (atan2 x.im x.re))) 1)
(- (* y.im (+ (* y.im (+ (* -1 (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2))))) (* y.im (+ (* -1/2 (pow (atan2 x.im x.re) 3)) (+ (* 1/6 (pow (atan2 x.im x.re) 3)) (* (- (* -1/2 (pow (log x.re) 2)) (+ (* -1 (pow (atan2 x.im x.re) 2)) (* 1/2 (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))))) (atan2 x.im x.re))) 1)
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* -1 (* y.im (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
(* -1 (/ (cos (* y.im (log x.re))) (exp (* y.im (atan2 x.im x.re)))))
1
(+ 1 (* -1/2 (* (pow y.im 2) (pow (log x.re) 2))))
(+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log x.re) 2)) (* 1/24 (* (pow y.im 2) (pow (log x.re) 4))))))
(+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log x.re) 2)) (* (pow y.im 2) (+ (* -1/720 (* (pow y.im 2) (pow (log x.re) 6))) (* 1/24 (pow (log x.re) 4)))))))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* y.im (log x.re)))
(cos (* -1 (* y.im (log (/ 1 x.re)))))
(cos (* -1 (* y.im (log (/ 1 x.re)))))
(cos (* -1 (* y.im (log (/ 1 x.re)))))
(cos (* -1 (* y.im (log (/ 1 x.re)))))
(cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))))
(cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))))
(cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))))
(cos (* y.im (+ (log -1) (* -1 (log (/ -1 x.re))))))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* y.im (log x.re))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* -1 (* y.im (log (/ 1 x.re))))
(* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))
(* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))
(* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))
(* y.im (+ (log -1) (* -1 (log (/ -1 x.re)))))
1
(+ 1 (* -1 (* y.im (atan2 x.im x.re))))
(+ 1 (* y.im (+ (* -1 (atan2 x.im x.re)) (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))))
(+ 1 (* y.im (+ (* -1 (atan2 x.im x.re)) (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))))
(* -1/2 (* (pow y.im 2) (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* (pow y.im 2) (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* (pow y.im 2) (- (+ (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))) (/ 1 (pow y.im 2))) (/ (atan2 x.im x.re) y.im)))
(* (pow y.im 2) (- (+ (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))) (/ 1 (pow y.im 2))) (/ (atan2 x.im x.re) y.im)))
(* -1/2 (* (pow y.im 2) (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* (pow y.im 2) (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* (pow y.im 2) (+ (* -1 (/ (- (atan2 x.im x.re) (/ 1 y.im)) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* (pow y.im 2) (+ (* -1 (/ (- (atan2 x.im x.re) (/ 1 y.im)) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(+ 1 (* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(* -1 (* y.im (atan2 x.im x.re)))
(* y.im (+ (* -1 (atan2 x.im x.re)) (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))))
(* y.im (+ (* -1 (atan2 x.im x.re)) (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))))
(* y.im (+ (* -1 (atan2 x.im x.re)) (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))))
(* -1/2 (* (pow y.im 2) (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* (pow y.im 2) (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* (pow y.im 2) (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* (pow y.im 2) (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* -1/2 (* (pow y.im 2) (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* (pow y.im 2) (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* (pow y.im 2) (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* (pow y.im 2) (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* y.im (- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re)))
(* -1 (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* y.im (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* y.im (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* y.im (+ (* -1 (/ (atan2 x.im x.re) y.im)) (* -1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1 (* y.im (+ (* 1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))) (/ (atan2 x.im x.re) y.im))))
(* -1 (* y.im (+ (* 1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))) (/ (atan2 x.im x.re) y.im))))
(* -1 (* y.im (+ (* 1/2 (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))) (/ (atan2 x.im x.re) y.im))))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(- (* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* -1/2 (* y.im (- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(* y.im (atan2 x.im x.re))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
1
(+ 1 (* y.im (atan2 x.im x.re)))
(+ 1 (* y.im (+ (* 1/2 (* y.im (pow (atan2 x.im x.re) 2))) (atan2 x.im x.re))))
(+ 1 (* y.im (+ (* y.im (+ (* 1/6 (* y.im (pow (atan2 x.im x.re) 3))) (* 1/2 (pow (atan2 x.im x.re) 2)))) (atan2 x.im x.re))))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(exp (* y.im (atan2 x.im x.re)))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow (log x.re) 2)
(pow (log x.re) 2)
(pow (log x.re) 2)
(pow (log x.re) 2)
(pow (log (/ 1 x.re)) 2)
(pow (log (/ 1 x.re)) 2)
(pow (log (/ 1 x.re)) 2)
(pow (log (/ 1 x.re)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2)
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log (/ 1 x.re)) 2) (pow (atan2 x.im x.re) 2))
(- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))
(- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))
(- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))
(- (pow (+ (log -1) (* -1 (log (/ -1 x.re)))) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))

Outputs
(/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y.re) (log.f64 (.f64 x.im x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2))))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re)))))
(+.f64 (exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y.re) (log.f64 (.f64 x.im x.im))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y.re) (log.f64 (.f64 x.im x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))))))
(+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2)))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.re 2) (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re)))))
(+.f64 (exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y.re) (log.f64 (.f64 x.im x.im))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (.f64 x.re x.re) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y.re) (.f64 x.im x.im)) (exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y.re) (log.f64 (.f64 x.im x.im))) (.f64 y.im (atan2.f64 x.im x.re))))) (/.f64 (.f64 (.f64 (.f64 x.re x.re) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 y.re y.re)) (pow.f64 x.im #s(literal 4 binary64))))) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) y.re) (log.f64 (.f64 x.im x.im))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))
(+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (* 1/2 (* y.re (log (pow x.im 2)))))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (/ (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.re 2) (* (exp (* 1/2 (* y.re (log (pow x.im 2))))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (exp (* 1/2 (* y.re (log (pow x.im 2))))) (exp (* y.im (atan2 x.im x.re)))))
(+.f64 (exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y.re) (log.f64 (.f64 x.im x.im))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (.f64 x.re x.re) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y.re) (.f64 x.im x.im)) (exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y.re) (log.f64 (.f64 x.im x.im))) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) y.re) (log.f64 (.f64 x.im x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 y.re y.re)) (pow.f64 x.im #s(literal 4 binary64))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (.f64 (.f64 (.f64 x.re x.re) (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) y.re) (log.f64 (.f64 x.im x.im))))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y.re y.re)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/48 binary64) (.f64 y.re (.f64 y.re y.re))) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) y.re) (pow.f64 x.im #s(literal 6 binary64)))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))))))
(/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))))
(+.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 y.re (.f64 x.im x.im)) (.f64 x.re x.re)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))))
(+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (exp (* -1 (* y.re (log (/ 1 x.re))))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))))
(+.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 y.re (.f64 x.im x.im)) (.f64 x.re x.re)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x.im #s(literal 4 binary64))) y.re) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 y.re y.re))) (pow.f64 x.re #s(literal 4 binary64))))))
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x.re
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x.im
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x.im
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(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(- (pow (log x.re) 2) (pow (atan2 x.im x.re) 2))
(-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))

eval235.0ms (1.3%)

Compiler: Compiled 45162 to 3549 computations (92.1% saved)

prune213.0ms (1.2%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	1630	22	1652
Fresh	7	12	19
Picked	4	1	5
Done	0	1	1
Total	1641	36	1677

Accuracy

97.5%

Counts

1677 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(pow.f64 (hypot.f64 x.re x.im) y.re)
	59.2%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
	29.6%	(/.f64 (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))))) #s(literal 1 binary64))
	26.4%	(/.f64 (.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))) (-.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.im (log.f64 x.re)) #s(literal 2 binary64)))))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
	59.6%	(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	14.2%	(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) #s(literal 1 binary64))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (.f64 y.im (log.f64 x.re)))))
	55.5%	(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
	51.6%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
	36.6%	(-.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) (log.f64 (exp.f64 y.im))))
	9.2%	(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
	13.8%	(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
✓	23.4%	(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
	4.7%	(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
	25.0%	(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
	8.3%	(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
	10.1%	(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
	15.6%	(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))))
	10.6%	(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)))))))
	8.1%	(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
	6.6%	(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)))))))
	16.9%	(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))
	12.2%	(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 1/2 binary64) x.re)))))))
	9.2%	(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
	7.5%	(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.re x.re)) (.f64 x.im (*.f64 x.im x.im))) (/.f64 #s(literal 1/2 binary64) x.im)))))))
	14.4%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
	9.4%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
	39.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.re y.re)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	6.2%	(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y.im y.im)) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
	23.7%	(*.f64 (neg.f64 (+.f64 (log.f64 (hypot.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 y.re))
	11.4%	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x.im)) (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re))))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
	20.2%	(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x.re))))))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))))
	36.2%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	17.9%	(.f64 (cos.f64 (.f64 y.im (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))))
	3.5%	(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
✓	23.2%	#s(literal 1 binary64)

Compiler

Compiled 2410 to 848 computations (64.8% saved)

regimes145.0ms (0.8%)

Counts

81 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))
(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.re x.re)) (.f64 x.im (*.f64 x.im x.im))) (/.f64 #s(literal 1/2 binary64) x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 1/2 binary64) x.re)))))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)
(*.f64 (neg.f64 (+.f64 (log.f64 (hypot.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 y.re))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) (log.f64 (exp.f64 y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(neg.f64 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y.im y.im)) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.re y.re)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 x.re) #s(literal 2 binary64)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.im (-.f64 (.f64 y.im (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.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 (.f64 (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))) (neg.f64 (pow.f64 x.re y.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.re))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x.re x.re) y.re) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))) (*.f64 x.im x.im)))
(/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))
(neg.f64 (/.f64 (cos.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) 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))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x.im)) (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re))))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) #s(literal 2 binary64)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x.re))))))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.im (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))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) 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))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.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 (cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) 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))) (cos.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 (.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re))) (-.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.im (log.f64 x.re)) #s(literal 2 binary64)))))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y.im (.f64 x.re x.re)) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 x.im x.im))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 #s(literal -1 binary64) y.re) (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y.im) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y.re) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))

Outputs

(/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))

(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))

Calls

5 calls:

37.0ms	y.im
24.0ms	x.im
24.0ms	y.re
23.0ms	x.re
20.0ms	(.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))) (cos.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

Accuracy	Segments	Branch
79.6%	2	`x.re`
81.3%	3	`x.im`
81.6%	2	`y.re`
80.8%	2	`y.im`
80.4%	2	`(.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))) (cos.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 61 to 35 computations (42.6% saved)

regimes34.0ms (0.2%)

Counts

74 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))
(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.re x.re)) (.f64 x.im (*.f64 x.im x.im))) (/.f64 #s(literal 1/2 binary64) x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 1/2 binary64) x.re)))))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)
(*.f64 (neg.f64 (+.f64 (log.f64 (hypot.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 y.re))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) (log.f64 (exp.f64 y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(neg.f64 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y.im y.im)) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.re y.re)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 x.re) #s(literal 2 binary64)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.im (-.f64 (.f64 y.im (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.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 (.f64 (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))) (neg.f64 (pow.f64 x.re y.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.re))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x.re x.re) y.re) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))) (*.f64 x.im x.im)))
(/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))
(neg.f64 (/.f64 (cos.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) 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))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x.im)) (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re))))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) #s(literal 2 binary64)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (log.f64 x.re))))))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (.f64 #s(literal -1 binary64) (log.f64 x.re)))) (.f64 y.im (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))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) 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))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.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 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))

(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))

(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))

Calls

1 calls:

22.0ms

y.re

Results

Accuracy	Segments	Branch
82.8%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes62.0ms (0.4%)

Counts

65 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))
(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.re x.re)) (.f64 x.im (*.f64 x.im x.im))) (/.f64 #s(literal 1/2 binary64) x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 1/2 binary64) x.re)))))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)
(*.f64 (neg.f64 (+.f64 (log.f64 (hypot.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 y.re))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) (log.f64 (exp.f64 y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(neg.f64 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y.im y.im)) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.re y.re)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 x.re) #s(literal 2 binary64)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.im (-.f64 (.f64 y.im (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (.f64 (pow.f64 x.re (/.f64 y.re #s(literal 2 binary64))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64)))) (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 y.im (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 y.re #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.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 (.f64 (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 x.re)))) (neg.f64 (pow.f64 x.re y.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.re))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal 1 binary64) x.re))))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) y.re) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x.re x.re) y.re) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))) (*.f64 x.im x.im)))
(/.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))
(neg.f64 (/.f64 (cos.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))))))

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))

(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))

Calls

2 calls:

35.0ms	y.re
18.0ms	y.im

Results

Accuracy	Segments	Branch
80.8%	2	`y.im`
82.2%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes35.0ms (0.2%)

Counts

45 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))
(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.re x.re)) (.f64 x.im (*.f64 x.im x.im))) (/.f64 #s(literal 1/2 binary64) x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 1/2 binary64) x.re)))))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)
(*.f64 (neg.f64 (+.f64 (log.f64 (hypot.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 y.re))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) (log.f64 (exp.f64 y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(neg.f64 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y.im y.im)) (-.f64 (pow.f64 (log.f64 x.re) #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.re y.re)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 x.re) #s(literal 2 binary64)))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))

Outputs

(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))

(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))

(pow.f64 (hypot.f64 x.re x.im) y.re)

Calls

2 calls:

15.0ms	y.im
13.0ms	y.re

Results

Accuracy	Segments	Branch
82.0%	3	`y.re`
79.2%	2	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes16.0ms (0.1%)

Counts

38 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))
(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.re x.re)) (.f64 x.im (*.f64 x.im x.im))) (/.f64 #s(literal 1/2 binary64) x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 1/2 binary64) x.re)))))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)
(*.f64 (neg.f64 (+.f64 (log.f64 (hypot.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 y.re))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) (log.f64 (exp.f64 y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (cos.f64 (.f64 y.im (log.f64 x.re)))))

Outputs
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (hypot.f64 x.re x.im) y.re)

Calls

1 calls:

11.0ms

y.re

Results

Accuracy	Segments	Branch
81.5%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes58.0ms (0.3%)

Counts

35 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))
(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.re x.re)) (.f64 x.im (*.f64 x.im x.im))) (/.f64 #s(literal 1/2 binary64) x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 1/2 binary64) x.re)))))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)
(*.f64 (neg.f64 (+.f64 (log.f64 (hypot.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 y.re))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) (log.f64 (exp.f64 y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))

Outputs
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))

Calls

4 calls:

18.0ms	y.re
13.0ms	x.im
13.0ms	y.im
10.0ms	x.re

Results

Accuracy	Segments	Branch
80.3%	3	`y.im`
68.1%	3	`x.re`
72.7%	6	`x.im`
80.3%	3	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes37.0ms (0.2%)

Counts

22 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))
(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.re x.re)) (.f64 x.im (*.f64 x.im x.im))) (/.f64 #s(literal 1/2 binary64) x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 1/2 binary64) x.re)))))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) (neg.f64 y.re)))

Outputs

(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))

(pow.f64 (hypot.f64 x.re x.im) y.re)

(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))

Calls

3 calls:

18.0ms	x.re
10.0ms	y.re
7.0ms	y.im

Results

Accuracy	Segments	Branch
60.3%	1	`x.re`
60.3%	1	`y.re`
68.0%	3	`y.im`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes26.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))
(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.re x.re)) (.f64 x.im (*.f64 x.im x.im))) (/.f64 #s(literal 1/2 binary64) x.im)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x.im x.im)) (.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 1/2 binary64) x.re)))))))

Outputs

(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))

(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))

(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))

Calls

4 calls:

7.0ms	y.re
6.0ms	x.re
6.0ms	y.im
6.0ms	x.im

Results

Accuracy	Segments	Branch
59.2%	1	`x.re`
62.5%	3	`y.re`
59.2%	1	`x.im`
59.2%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes20.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))
(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))))

Outputs
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64))

Calls

4 calls:

6.0ms	x.im
4.0ms	y.re
4.0ms	x.re
4.0ms	y.im

Results

Accuracy	Segments	Branch
29.5%	3	`y.im`
27.6%	2	`x.re`
28.6%	3	`x.im`
31.0%	2	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes14.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))

Outputs
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.im x.im)) x.re)))))

Calls

3 calls:

5.0ms	y.im
4.0ms	x.re
4.0ms	y.re

Results

Accuracy	Segments	Branch
26.7%	2	`x.re`
25.0%	2	`y.im`
27.3%	2	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes11.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))

Outputs
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x.re x.re)) x.im)))))

Calls

3 calls:

3.0ms	x.re
3.0ms	y.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
23.4%	1	`x.re`
23.4%	1	`x.im`
25.2%	2	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes16.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))

Outputs
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))

Calls

3 calls:

9.0ms	y.re
3.0ms	x.re
3.0ms	y.im

Results

Accuracy	Segments	Branch
23.4%	1	`x.re`
23.4%	1	`y.im`
23.4%	1	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes30.0ms (0.2%)

Accuracy

Total -14.5b remaining (-29.5%)

Threshold costs -14.5b (-29.5%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))

Outputs
#s(literal 1 binary64)

Calls

4 calls:

23.0ms	y.re
2.0ms	y.im
2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
23.2%	1	`y.im`
23.2%	1	`y.re`
23.2%	1	`x.im`
23.2%	1	`x.re`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch44.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.5471656410372374	86.86657279469743

Results

23.0ms	31×	1	valid
13.0ms	81×	0	valid

Compiler

Compiled 419 to 256 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sqrt: 12.0ms (39.7% of total)

ival-mult: 7.0ms (23.1% of total)

ival-cos: 3.0ms (9.9% of total)

ival-log: 3.0ms (9.9% of total)

ival-atan2: 2.0ms (6.6% of total)

ival-exp: 1.0ms (3.3% of total)

ival-sub: 1.0ms (3.3% of total)

backward-pass: 1.0ms (3.3% of total)

ival-add: 1.0ms (3.3% of total)

const: 0.0ms (0% of total)

bsearch77.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	1.5471656410372374	86.86657279469743
37.0ms	-1.4778031241514146e+51	-1.576568977353049e+50

Results

31.0ms	61×	1	valid
26.0ms	147×	0	valid

Compiler

Compiled 629 to 411 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 25.0ms (53.2% of total)

ival-log: 5.0ms (10.6% of total)

ival-cos: 4.0ms (8.5% of total)

ival-atan2: 3.0ms (6.4% of total)

ival-add: 3.0ms (6.4% of total)

ival-exp: 2.0ms (4.3% of total)

ival-sqrt: 2.0ms (4.3% of total)

ival-sub: 1.0ms (2.1% of total)

backward-pass: 1.0ms (2.1% of total)

const: 0.0ms (0% of total)

bsearch46.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	4.8807843595205296e+47	8.357483084009483e+49

Results

33.0ms	73×	1	valid
6.0ms	39×	0	valid

Compiler

Compiled 314 to 207 computations (34.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 9.0ms (29% of total)

ival-add: 8.0ms (25.8% of total)

ival-log: 4.0ms (12.9% of total)

ival-cos: 3.0ms (9.7% of total)

ival-sqrt: 2.0ms (6.4% of total)

ival-atan2: 2.0ms (6.4% of total)

backward-pass: 2.0ms (6.4% of total)

ival-exp: 1.0ms (3.2% of total)

ival-sub: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

bsearch122.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
88.0ms	5.816861606093399e-14	1.2173028953675918e-5
28.0ms	-1.4778031241514146e+51	-1.576568977353049e+50

Results

80.0ms	75×	1	valid
27.0ms	165×	0	valid

Compiler

Compiled 525 to 349 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-atan2: 41.0ms (44.7% of total)

ival-log: 20.0ms (21.8% of total)

ival-mult: 15.0ms (16.3% of total)

ival-cos: 4.0ms (4.4% of total)

ival-sqrt: 3.0ms (3.3% of total)

ival-add: 3.0ms (3.3% of total)

ival-exp: 2.0ms (2.2% of total)

ival-sub: 2.0ms (2.2% of total)

backward-pass: 2.0ms (2.2% of total)

const: 0.0ms (0% of total)

bsearch109.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	5.816861606093399e-14	1.2173028953675918e-5
43.0ms	-1.576568977353049e+50	-5.731751970718468e+31

Results

56.0ms	220×	0	valid
34.0ms	84×	1	valid

Compiler

Compiled 555 to 388 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 42.0ms (56.7% of total)

ival-log: 7.0ms (9.4% of total)

ival-cos: 5.0ms (6.7% of total)

ival-add: 4.0ms (5.4% of total)

ival-sub: 4.0ms (5.4% of total)

ival-atan2: 4.0ms (5.4% of total)

ival-exp: 3.0ms (4% of total)

ival-sqrt: 3.0ms (4% of total)

backward-pass: 2.0ms (2.7% of total)

const: 0.0ms (0% of total)

bsearch125.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
71.0ms	8.262567181422719e-5	205378516.89820498
47.0ms	-1.2120533155644222e+66	-1.0472483882413034e+61

Results

63.0ms	192×	0	valid
44.0ms	112×	1	valid

Compiler

Compiled 485 to 348 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 22.0ms (36.5% of total)

ival-log: 10.0ms (16.6% of total)

ival-cos: 8.0ms (13.3% of total)

ival-sqrt: 4.0ms (6.6% of total)

ival-atan2: 4.0ms (6.6% of total)

ival-add: 4.0ms (6.6% of total)

ival-exp: 3.0ms (5% of total)

backward-pass: 3.0ms (5% of total)

ival-sub: 2.0ms (3.3% of total)

const: 0.0ms (0% of total)

bsearch88.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.7207437100023615e-11	8.262567181422719e-5
45.0ms	-1.0978203859006092e+78	-1.0093160564060334e+74

Results

43.0ms	100×	1	valid
26.0ms	172×	0	valid

Compiler

Compiled 592 to 416 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 18.0ms (33.6% of total)

ival-log: 8.0ms (14.9% of total)

ival-sqrt: 7.0ms (13% of total)

ival-cos: 5.0ms (9.3% of total)

ival-atan2: 4.0ms (7.5% of total)

ival-add: 4.0ms (7.5% of total)

ival-exp: 3.0ms (5.6% of total)

ival-sub: 2.0ms (3.7% of total)

backward-pass: 2.0ms (3.7% of total)

const: 0.0ms (0% of total)

bsearch75.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	4.2564204603513546e-103	2.251893262070083e-102
42.0ms	-1.6808703068466117e-129	-3.573524691867406e-142

Results

33.0ms	192×	0	valid
24.0ms	64×	1	valid

Compiler

Compiled 592 to 425 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 18.0ms (42.4% of total)

ival-log: 6.0ms (14.1% of total)

ival-cos: 4.0ms (9.4% of total)

ival-add: 3.0ms (7.1% of total)

ival-sqrt: 3.0ms (7.1% of total)

ival-atan2: 3.0ms (7.1% of total)

ival-exp: 2.0ms (4.7% of total)

ival-sub: 2.0ms (4.7% of total)

backward-pass: 1.0ms (2.4% of total)

const: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	4.2564204603513546e-103	2.251893262070083e-102

Results

11.0ms	30×	1	valid
10.0ms	66×	0	valid

Compiler

Compiled 234 to 163 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (37.1% of total)

ival-cos: 2.0ms (12.4% of total)

ival-log: 2.0ms (12.4% of total)

ival-add: 1.0ms (6.2% of total)

ival-exp: 1.0ms (6.2% of total)

ival-sqrt: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% of total)

ival-atan2: 1.0ms (6.2% of total)

backward-pass: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

bsearch64.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
61.0ms	1.7832665748803067e-25	1.8308849305241002e-23

Results

44.0ms	29×	1	valid
12.0ms	83×	0	valid

Compiler

Compiled 265 to 186 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 40.0ms (78.6% of total)

ival-cos: 2.0ms (3.9% of total)

ival-log: 2.0ms (3.9% of total)

ival-exp: 1.0ms (2% of total)

ival-sqrt: 1.0ms (2% of total)

ival-sub: 1.0ms (2% of total)

ival-atan2: 1.0ms (2% of total)

backward-pass: 1.0ms (2% of total)

ival-add: 1.0ms (2% of total)

const: 0.0ms (0% of total)

bsearch60.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	2.569491215690196e+82	4.6426508600658654e+85

Results

39.0ms	73×	1	valid
8.0ms	55×	0	valid

Compiler

Compiled 296 to 209 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 19.0ms (51.4% of total)

ival-log: 4.0ms (10.8% of total)

ival-cos: 3.0ms (8.1% of total)

ival-sqrt: 2.0ms (5.4% of total)

ival-atan2: 2.0ms (5.4% of total)

backward-pass: 2.0ms (5.4% of total)

ival-add: 2.0ms (5.4% of total)

ival-exp: 1.0ms (2.7% of total)

ival-sub: 1.0ms (2.7% of total)

const: 0.0ms (0% of total)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
34×	`neg-mul-1_binary64`
30×	`unsub-neg_binary64`
30×	`+-commutative_binary64`
20×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	369
1	149	369
2	168	361
3	193	353
4	241	353
5	275	353
6	289	353

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re #s(literal 5967269506265907/562949953421312 binary64)) (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64))))
(if (<=.f64 y.re #s(literal -209999999999999995253329232153652192797441122107392 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re #s(literal 8106479329266893/1125899906842624 binary64)) (/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y.im #s(literal 749999999999999992319563076503807168081033166848 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))) (/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(if (<=.f64 y.re #s(literal -290000000000000001357145105027161795433413098864640 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re #s(literal 1770887431076117/147573952589676412928 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(if (<=.f64 y.re #s(literal -58000000000000000590358287220736 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re #s(literal 8500259669165361/9444732965739290427392 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(if (<=.f64 y.im #s(literal -24500000000000001257668277013743254092609749306445035460362240 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.im #s(literal 55000 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im #s(literal -46000000000000000236440533700863270450819655666791378489038471321180545482752 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64))) (if (<=.f64 y.im #s(literal 5902958103587057/73786976294838206464 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y.re #s(literal -4910085911844213/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64))) (if (<=.f64 y.re #s(literal 5547802472452343/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y.re #s(literal 677714506577985/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 y.re #s(literal 1531270651144223/85070591730234615865843651857942052864 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) x.re))))))
(if (<=.f64 y.re #s(literal 25999999999999998374578043961539098081995195210220509422640335429396112876421251072 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))))))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
#s(literal 1 binary64)

Outputs
(if (<=.f64 y.re #s(literal 5967269506265907/562949953421312 binary64)) (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64))))
(if (<=.f64 y.re #s(literal 5967269506265907/562949953421312 binary64)) (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))))
(if (<=.f64 y.re #s(literal -209999999999999995253329232153652192797441122107392 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re #s(literal 8106479329266893/1125899906842624 binary64)) (/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y.re #s(literal -209999999999999995253329232153652192797441122107392 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re #s(literal 8106479329266893/1125899906842624 binary64)) (/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))))
(if (<=.f64 y.im #s(literal 749999999999999992319563076503807168081033166848 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))) (/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(if (<=.f64 y.im #s(literal 749999999999999992319563076503807168081033166848 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))) (/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(if (<=.f64 y.re #s(literal -290000000000000001357145105027161795433413098864640 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re #s(literal 1770887431076117/147573952589676412928 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(if (<=.f64 y.re #s(literal -290000000000000001357145105027161795433413098864640 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re #s(literal 1770887431076117/147573952589676412928 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(if (<=.f64 y.re #s(literal -58000000000000000590358287220736 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re #s(literal 8500259669165361/9444732965739290427392 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(if (<=.f64 y.im #s(literal -24500000000000001257668277013743254092609749306445035460362240 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.im #s(literal 55000 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im #s(literal -46000000000000000236440533700863270450819655666791378489038471321180545482752 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64))) (if (<=.f64 y.im #s(literal 5902958103587057/73786976294838206464 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y.im #s(literal -46000000000000000236440533700863270450819655666791378489038471321180545482752 binary64)) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (if (<=.f64 y.im #s(literal 5902958103587057/73786976294838206464 binary64)) (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))))
(if (<=.f64 y.re #s(literal -4910085911844213/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64))) (if (<=.f64 y.re #s(literal 5547802472452343/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y.re #s(literal -4910085911844213/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64))) (if (<=.f64 y.re #s(literal 5547802472452343/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re #s(literal 2 binary64)))))
(if (<=.f64 y.re #s(literal 677714506577985/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 y.re #s(literal 677714506577985/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 #s(literal 1 binary64) (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) #s(literal 1/2 binary64)))))
(if (<=.f64 y.re #s(literal 1531270651144223/85070591730234615865843651857942052864 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.im x.im)) x.re))))))
(if (<=.f64 y.re #s(literal 1531270651144223/85070591730234615865843651857942052864 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 (.f64 x.im x.im) #s(literal 1/2 binary64)) x.re))))))
(if (<=.f64 y.re #s(literal 25999999999999998374578043961539098081995195210220509422640335429396112876421251072 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x.re x.re)) x.im))))))
(if (<=.f64 y.re #s(literal 25999999999999998374578043961539098081995195210220509422640335429396112876421251072 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 (.f64 x.re x.re) #s(literal 1/2 binary64)) x.im))))))
(-.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
#s(literal 1 binary64)

soundness2.9s (16.5%)

Rules

6762×	`-lowering-.f32`
6762×	`-lowering-.f64`
6176×	`-lowering-.f32`
6176×	`-lowering-.f64`
5826×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1603	23341
1	5861	19892
0	8629	19892
0	19	25
1	41	25
2	79	25
3	116	25
4	178	25
5	284	25
6	459	25
7	746	25
8	1176	25
9	1723	25
10	2127	25
11	2304	25
12	2318	25
0	2318	25
0	39	212
1	225	195
2	1891	182
0	9392	182
0	956	13501
1	3374	12152
0	8194	12152
0	820	12652
1	2784	10955
0	8663	10955
0	41	190
1	197	179
2	1210	172
0	8345	172
0	2303	31384
1	7184	29088
0	8194	29088

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 1615 to 949 computations (41.2% saved)

preprocess81.0ms (0.5%)

Compiler: Compiled 850 to 244 computations (71.3% saved)

analyze474.0ms (2.7%)

sample3.2s (18.5%)

preprocess162.0ms (0.9%)

explain437.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify61.0ms (0.4%)

localize954.0ms (5.5%)

series199.0ms (1.1%)

rewrite355.0ms (2%)

simplify484.0ms (2.8%)

eval141.0ms (0.8%)

prune146.0ms (0.8%)

simplify145.0ms (0.8%)

localize579.0ms (3.3%)

series381.0ms (2.2%)

rewrite320.0ms (1.8%)

simplify625.0ms (3.6%)

eval343.0ms (2%)

prune201.0ms (1.1%)

simplify205.0ms (1.2%)

localize325.0ms (1.9%)

series144.0ms (0.8%)

rewrite396.0ms (2.3%)

simplify719.0ms (4.1%)

eval165.0ms (0.9%)

prune171.0ms (1%)

simplify172.0ms (1%)

localize264.0ms (1.5%)

series117.0ms (0.7%)

rewrite338.0ms (1.9%)

simplify458.0ms (2.6%)

eval235.0ms (1.3%)

prune213.0ms (1.2%)

regimes145.0ms (0.8%)

regimes34.0ms (0.2%)

regimes62.0ms (0.4%)

regimes35.0ms (0.2%)

regimes16.0ms (0.1%)

regimes58.0ms (0.3%)

regimes37.0ms (0.2%)

regimes26.0ms (0.1%)

regimes20.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes16.0ms (0.1%)

regimes30.0ms (0.2%)

bsearch44.0ms (0.3%)

bsearch77.0ms (0.4%)

bsearch46.0ms (0.3%)

bsearch122.0ms (0.7%)

bsearch109.0ms (0.6%)

bsearch125.0ms (0.7%)

bsearch88.0ms (0.5%)

bsearch75.0ms (0.4%)

bsearch30.0ms (0.2%)

bsearch64.0ms (0.4%)

bsearch60.0ms (0.3%)

simplify21.0ms (0.1%)

soundness2.9s (16.5%)

preprocess81.0ms (0.5%)

end0.0ms (0%)

Profiling