Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample2.2s (67.6%)

Memory

42.8MiB live, 3 004.6MiB allocated; 790ms collecting garbage

Samples

947.0ms	1 655×	2	valid
508.0ms	2 358×	1	valid
388.0ms	4 243×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-exp: 969.0ms (61.8% of total)

ival-cos: 210.0ms (13.4% of total)

ival-mult!: 173.0ms (11% of total)

adjust: 167.0ms (10.7% of total)

ival-sub!: 49.0ms (3.1% of total)

Bogosity

preprocess60.0ms (1.8%)

Memory

-16.3MiB live, 30.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	70
1	133	55
2	567	34
3	3812	34

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Symmetry

(abs re)

(negabs im)

Compiler

Compiled 24 to 22 computations (8.3% saved)

series14.0ms (0.4%)

Memory

30.6MiB live, 30.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	675

Stop Event

1×	iter-limit

Counts

11 → 38

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (- 0 im) (*.f64 #s(literal -1 binary64) im))
#s(approx im im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))

Calls

6 calls:

Time	Variable	Point
1.0ms	im	0
1.0ms	re	inf
1.0ms	im	-inf
1.0ms	im	inf
1.0ms	re	-inf

rewrite25.0ms (0.8%)

Memory

-10.6MiB live, 36.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	34
0	83	34

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

11 → 33

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)

Outputs
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
re
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (.f64 (exp.f64 im) (exp.f64 im))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(neg.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(/.f64 (exp.f64 #s(literal 0 binary64)) (exp.f64 im))
(fabs.f64 (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
#s(literal 0 binary64)
im
(fabs.f64 (exp.f64 im))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))

eval7.0ms (0.2%)

Memory: 18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 279 to 326 computations (74.5% saved)

prune87.0ms (2.6%)

Memory

-66.4MiB live, 17.4MiB allocated; 136ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	6	64

Accuracy

99.9%

Counts

64 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
	58.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
▶	79.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
▶	45.4%	(.f64 #s(approx ( 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
▶	41.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
▶	47.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))

Compiler

Compiled 232 to 200 computations (13.8% saved)

series22.0ms (0.7%)

Memory

36.0MiB live, 36.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	1059

Stop Event

1×	iter-limit

Counts

38 → 60

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
im
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
(.f64 #s(approx ( 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/4 binary64)
(pow.f64 re #s(literal 2 binary64))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (.f64 #s(literal 1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* -1/4 (pow re 2)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* -1 (* im (cos re))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (+ 1/2 (* -1/4 (pow re 2))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (* -1/3 (pow im 2)) 2) #s(literal -2 binary64))
#s(approx (- (* -1/3 (pow im 2)) 2) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (* -1/3 (pow im 2)) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* im (- (* -1/3 (pow im 2)) 2)) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (* im (- (* -1/3 (pow im 2)) 2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (- (* -1/3 (pow im 2)) 2) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))

Calls

6 calls:

Time	Variable	Point
3.0ms	im	inf
2.0ms	im	-inf
2.0ms	re	0
2.0ms	im	0
2.0ms	re	inf

rewrite40.0ms (1.2%)

Memory

-10.7MiB live, 41.9MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	246
0	72	234
0	270	227

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

38 → 118

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
im
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
(.f64 #s(approx ( 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/4 binary64)
(pow.f64 re #s(literal 2 binary64))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)

Outputs
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))
im
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 im im) #s(literal -1/3 binary64)))) (.f64 (*.f64 im im) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) (.f64 (.f64 im im) #s(literal -1/3 binary64))) #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) (.f64 (.f64 im im) #s(literal -1/3 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(neg.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 im im) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(.f64 (.f64 im im) #s(literal -1/3 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 im im))
#s(literal -1/3 binary64)
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (.f64 (exp.f64 im) (exp.f64 im))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(neg.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(fabs.f64 (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(fabs.f64 (exp.f64 im))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (cos.f64 re))))
(.f64 (.f64 #s(literal -1 binary64) im) (cos.f64 re))
(.f64 (.f64 im (cos.f64 re)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(neg.f64 (*.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 re re) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64))))))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64))))
(+.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
(.f64 (.f64 re re) #s(literal -1/4 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 re re))
#s(literal -1/4 binary64)
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
(*.f64 re re)
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (.f64 (exp.f64 im) (exp.f64 im))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(neg.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(fabs.f64 (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
#s(literal 0 binary64)
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) (exp.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)) (fma.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) (*.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))))
(neg.f64 (-.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) (exp.f64 (neg.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im im)) (-.f64 #s(literal 1 binary64) im))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 1 binary64) im))))
(-.f64 #s(literal 1 binary64) (neg.f64 im))
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
#s(literal 1 binary64)

eval25.0ms (0.8%)

Memory: -12.9MiB live, 33.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 296 to 750 computations (82.5% saved)

prune17.0ms (0.5%)

Memory

-23.2MiB live, 23.1MiB allocated; 3ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	153	12	165
Fresh	0	1	1
Picked	5	0	5
Done	0	0	0
Total	158	13	171

Accuracy

99.9%

Counts

171 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.4%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
▶	5.9%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
▶	79.7%	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
	58.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
	49.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* im (- (* -1/3 (pow im 2)) 2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
	4.9%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
	41.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
	26.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	37.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
▶	25.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
	47.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (cos.f64 re))))
▶	46.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
	37.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))

Compiler

Compiled 610 to 502 computations (17.7% saved)

series20.0ms (0.6%)

Memory

35.2MiB live, 35.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	285	1149

Stop Event

1×	iter-limit

Counts

38 → 66

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
(.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im))
#s(literal -1 binary64)
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(exp.f64 im)
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)

Outputs
#s(approx (* (* (cos re) 1/2) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* (cos re) 1/2) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* (cos re) 1/2) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* (cos re) 1/2) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* (cos re) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos re) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* (cos re) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* (cos re) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (.f64 #s(literal 1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* (cos re) 1/2) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (cos re) 1/2) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* -1 (* im (cos re))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
#s(approx (* (* (cos re) 1/2) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* (cos re) 1/2) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* (cos re) 1/2) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (+ (* (* im im) -1/3) -2) #s(literal -2 binary64))
#s(approx (+ (* (* im im) -1/3) -2) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (- (* -1/6 (pow im 2)) 1) #s(literal -1 binary64))
#s(approx (- (* -1/6 (pow im 2)) 1) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* -1/6 (pow im 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (+ (* (* im im) -1/3) -2) im) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (* (+ (* (* im im) -1/3) -2) im) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (+ (* (* im im) -1/3) -2) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* (* im im) -1/3) -2) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* im (- (* -1/6 (pow im 2)) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (* im (- (* -1/6 (pow im 2)) 1)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (- (* -1/6 (pow im 2)) 1) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* (cos re) 1/2) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))

Calls

6 calls:

Time	Variable	Point
3.0ms	im	inf
2.0ms	im	-inf
2.0ms	im	0
2.0ms	re	inf
2.0ms	re	-inf

rewrite37.0ms (1.1%)

Memory

-1.1MiB live, 48.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	263
0	76	257
0	295	253

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

38 → 115

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
(.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im))
#s(literal -1 binary64)
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(exp.f64 im)
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)

Outputs
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 im (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 im im)))) (.f64 #s(literal -1/3 binary64) (*.f64 im im)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) (.f64 #s(literal -1/3 binary64) (.f64 im im))) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) (.f64 #s(literal -1/3 binary64) (.f64 im im)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal -2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
(fma.f64 im (*.f64 im #s(literal -1/3 binary64)) #s(literal -2 binary64))
(-.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 im im)))
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
(.f64 #s(approx ( im (cos re)) im) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im))
(neg.f64 #s(approx (* im (cos re)) im))
#s(literal -1 binary64)
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)
(.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))) (.f64 #s(literal -1/6 binary64) (*.f64 im im)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) (.f64 #s(literal -1/6 binary64) (.f64 im im))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) (.f64 #s(literal -1/6 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(-.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (.f64 (exp.f64 im) (exp.f64 im))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(neg.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(fabs.f64 (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(fabs.f64 (exp.f64 im))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))) (.f64 #s(literal -1/4 binary64) (*.f64 re re)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (.f64 #s(literal -1/4 binary64) (.f64 re re))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal -1/2 binary64))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 re re)
(pow.f64 re #s(literal 2 binary64))
#s(literal -1/4 binary64)
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) (exp.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)) (fma.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) (*.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))))
(neg.f64 (-.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) (exp.f64 (neg.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im im)) (-.f64 #s(literal 1 binary64) im))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 1 binary64) im))))
(-.f64 #s(literal 1 binary64) (neg.f64 im))
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))

eval24.0ms (0.7%)

Memory: -24.7MiB live, 67.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 629 to 787 computations (83% saved)

prune12.0ms (0.4%)

Memory

29.3MiB live, 29.3MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	169	8	177
Fresh	2	6	8
Picked	3	2	5
Done	0	0	0
Total	174	16	190

Accuracy

99.9%

Counts

190 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.9%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
▶	4.9%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
	45.2%	(.f64 (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	52.1%	(.f64 (.f64 (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
✓	79.7%	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
	49.4%	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* (+ (* (* im im) -1/3) -2) im) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
▶	58.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
	41.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
	26.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))))
	37.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
▶	47.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (cos.f64 re))))
▶	25.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
	46.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
	33.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))) (.f64 #s(literal -1/6 binary64) (.f64 im im))))))
	25.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) #s(approx (* im (- (* -1/6 (pow im 2)) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
▶	37.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))

Compiler

Compiled 782 to 624 computations (20.2% saved)

series24.0ms (0.7%)

Memory

6.8MiB live, 52.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1025

Stop Event

1×	iter-limit

Counts

33 → 57

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) im)
#s(literal -1 binary64)
im
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
(neg.f64 #s(approx (* im (cos re)) im))
#s(approx (* im (cos re)) im)
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
#s(approx (* (cos re) 1/2) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (cos.f64 re))))
(neg.f64 (*.f64 im (cos.f64 re)))
(*.f64 im (cos.f64 re))

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (neg (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (neg (* im (cos re))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
#s(approx (neg (* im (cos re))) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) im))) im))
#s(approx (neg (* im (cos re))) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) im))) (.f64 #s(literal -1/2 binary64) im))) im))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (.f64 #s(literal 1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (* im (pow re 2))) (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* im (pow re 2)) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (neg (* im (cos re))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (+ 1 (* -1 im)) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))

Calls

6 calls:

Time	Variable	Point
5.0ms	re	inf
3.0ms	re	0
2.0ms	im	0
2.0ms	im	-inf
2.0ms	im	inf

rewrite39.0ms (1.2%)

Memory

-2.2MiB live, 45.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	242
0	67	229
0	265	226

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

33 → 109

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) im)
#s(literal -1 binary64)
im
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
(neg.f64 #s(approx (* im (cos re)) im))
#s(approx (* im (cos re)) im)
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
#s(approx (* (cos re) 1/2) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (cos.f64 re))))
(neg.f64 (*.f64 im (cos.f64 re)))
(*.f64 im (cos.f64 re))

Outputs
(.f64 (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
re
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))))) #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64)))) (.f64 (exp.f64 im) (exp.f64 im))) (+.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (*.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))))
(neg.f64 (-.f64 (exp.f64 im) #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64)))))
(-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im))
(+.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (neg.f64 (exp.f64 im)))
#s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) (neg.f64 im))) (+.f64 #s(literal 1 binary64) im))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 im) (neg.f64 im)) (.f64 #s(literal 1 binary64) (neg.f64 im)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) im #s(literal 1 binary64))
(fma.f64 im #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 im)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) im))
(+.f64 (neg.f64 im) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 im))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
#s(literal -1 binary64)
im
(fabs.f64 (exp.f64 im))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
(neg.f64 #s(approx (* im (cos re)) im))
#s(approx (* im (cos re)) im)
(.f64 #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) (exp.f64 (neg.f64 im)))) (exp.f64 (neg.f64 im)))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)) (fma.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) (*.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))))
(neg.f64 (-.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)) (exp.f64 (neg.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(fabs.f64 (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im im)) (-.f64 #s(literal 1 binary64) im))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 1 binary64) im))))
(-.f64 #s(literal 1 binary64) (neg.f64 im))
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
#s(approx (* (cos re) 1/2) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))))
#s(approx (* -1 (* im (cos re))) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64)) (neg.f64 im))) (neg.f64 im))
(/.f64 (-.f64 (.f64 (neg.f64 im) (neg.f64 im)) (.f64 (.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64)))) (-.f64 (neg.f64 im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 im) (neg.f64 im) (-.f64 (.f64 (.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64))) (.f64 (neg.f64 im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 re re) (neg.f64 im))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 im #s(literal 0 binary64))) #s(literal 0 binary64) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))
(fma.f64 #s(literal -1 binary64) im (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))
(fma.f64 im #s(literal -1 binary64) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) im) (neg.f64 im))
(-.f64 (neg.f64 im) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 re re) im)))
(-.f64 (neg.f64 im) (neg.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) (neg.f64 im))
(+.f64 (neg.f64 im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) im) (*.f64 re re))
(.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 re re) im))
(.f64 (.f64 re re) im)
(.f64 im (.f64 re re))
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
(*.f64 re re)
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(.f64 (.f64 im (cos.f64 re)) #s(literal -1 binary64))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 im (neg.f64 (cos.f64 re)))
(neg.f64 (*.f64 im (cos.f64 re)))
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)

eval21.0ms (0.6%)

Memory: -2.1MiB live, 43.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 794 to 686 computations (81.9% saved)

prune13.0ms (0.4%)

Memory

-18.9MiB live, 27.2MiB allocated; 3ms collecting garbage

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	4	5	9
Picked	2	3	5
Done	0	2	2
Total	141	16	157

Accuracy

99.9%

Counts

157 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.9%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
✓	4.9%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
	4.8%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (cos re) 1/2) #s(literal 1/2 binary64)))
	58.4%	(.f64 (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
	45.2%	(.f64 (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	79.7%	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
	49.4%	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* (+ (* (* im im) -1/3) -2) im) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
	41.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
	26.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))))
✓	47.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (cos.f64 re))))
✓	25.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
	46.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
	33.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))) (.f64 #s(literal -1/6 binary64) (.f64 im im))))))
	25.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) #s(approx (* im (- (* -1/6 (pow im 2)) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
	37.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 re re) (neg.f64 im))))
	37.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))))

Compiler

Compiled 404 to 320 computations (20.8% saved)

regimes290.0ms (8.8%)

Memory

9.9MiB live, 298.3MiB allocated; 48ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

3 → 1

7 → 2

15 → 3

18 → 3

22 → 3

24 → 3

33 → 2

Calls

Call 1

Inputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))

Call 2

Inputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im)))

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))

Call 3

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) #s(approx (* im (- (* -1/6 (pow im 2)) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 re re) (neg.f64 im))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im)))

Call 4

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) #s(approx (* im (- (* -1/6 (pow im 2)) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))) (.f64 #s(literal -1/6 binary64) (.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (cos re) 1/2) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 re re) (neg.f64 im))))

Call 5

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) #s(approx (* im (- (* -1/6 (pow im 2)) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))) (.f64 #s(literal -1/6 binary64) (.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (cos re) 1/2) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) im)))

(*.f64 (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))

Call 6

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) #s(approx (* im (- (* -1/6 (pow im 2)) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))) (.f64 #s(literal -1/6 binary64) (.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (cos re) 1/2) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (cos.f64 re))))

(*.f64 (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))

Call 7

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) #s(approx (* im (- (* -1/6 (pow im 2)) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))) (.f64 #s(literal -1/6 binary64) (.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (cos re) 1/2) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))

(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))

(*.f64 (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))

Call 8

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) #s(approx (* im (- (* -1/6 (pow im 2)) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))) (.f64 #s(literal -1/6 binary64) (.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (cos re) 1/2) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 (*.f64 im (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* im (- (* -1/3 (pow im 2)) 2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* (+ (* (* im im) -1/3) -2) im) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))

Outputs

(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))

(*.f64 (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))

Calls

34 calls:

90.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
39.0ms	im
18.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
15.0ms	im
12.0ms	im

Results

Accuracy	Segments	Branch
25.8%	1	`im`
25.8%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
25.8%	1	`(cos.f64 re)`
25.8%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
25.8%	1	`re`
25.8%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
46.8%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
46.8%	1	`im`
46.8%	1	`re`
46.8%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
46.8%	1	`(cos.f64 re)`
46.8%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
60.7%	2	`(cos.f64 re)`
60.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
46.8%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
50.2%	3	`im`
60.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
76.1%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
54.3%	2	`re`
66.5%	3	`(cos.f64 re)`
66.5%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
67.0%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
68.9%	3	`im`
78.7%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
99.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
99.2%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
87.5%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
94.9%	3	`im`
99.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
79.7%	1	`(cos.f64 re)`
79.7%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
79.7%	1	`re`
99.9%	2	`im`

Compiler

Compiled 968 to 379 computations (60.8% saved)

bsearch25.0ms (0.7%)

Memory

-11.1MiB live, 35.1MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.3863592415952842e-5	53.300751206579086

Samples

17.0ms

144×

valid

Compiler

Compiled 357 to 322 computations (9.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 9.0ms (66.5% of total)

ival-exp: 3.0ms (22.2% of total)

ival-sub!: 1.0ms (7.4% of total)

ival-mult!: 1.0ms (7.4% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4204192311423808e+146	+inf
0.0ms	-inf	-1.3863592416452075e-5

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4204192311423808e+146	+inf
0.0ms	-1.3863592416452075e-5	-4.2937578420554345e-7

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.7065455421413885e+22
0.0ms	-inf	-1.3863592416452075e-5

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.7065455421413885e+22
0.0ms	-inf	-1.3863592416452075e-5

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0027822027197230274	0.015861286498228492

Compiler

Compiled 15 to 16 computations (-6.7% saved)

derivations17.0ms (0.5%)

Memory

30.2MiB live, 30.2MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 580 to 93 computations (84% saved)

preprocess248.0ms (7.5%)

Memory

-19.4MiB live, 402.6MiB allocated; 49ms collecting garbage

Remove

(negabs im)

(abs re)

Compiler

Compiled 3 840 to 1 738 computations (54.7% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (67.6%)

preprocess60.0ms (1.8%)

series14.0ms (0.4%)

rewrite25.0ms (0.8%)

eval7.0ms (0.2%)

prune87.0ms (2.6%)

series22.0ms (0.7%)

rewrite40.0ms (1.2%)

eval25.0ms (0.8%)

prune17.0ms (0.5%)

series20.0ms (0.6%)

rewrite37.0ms (1.1%)

eval24.0ms (0.7%)

prune12.0ms (0.4%)

series24.0ms (0.7%)

rewrite39.0ms (1.2%)

eval21.0ms (0.6%)

prune13.0ms (0.4%)

regimes290.0ms (8.8%)

bsearch25.0ms (0.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations17.0ms (0.5%)

preprocess248.0ms (7.5%)

end0.0ms (0%)

Profiling