Metrics for math.cos on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 13 to 12 computations (7.7% saved)

sample1.7s (47.8%)

Memory

88.9MiB live, 1 248.4MiB allocated; 563ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 985.0ms

ival-cos: 599.0ms (60.8% of total)

ival-exp: 210.0ms (21.3% of total)

ival-mult!: 103.0ms (10.5% of total)

ival-neg: 46.0ms (4.7% of total)

ival-add!: 24.0ms (2.4% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess40.0ms (1.2%)

Memory

-43.1MiB live, 57.8MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	152	54
2	1032	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Symmetry

(abs re)

(abs im)

Compiler

Compiled 22 to 20 computations (9.1% saved)

series102.0ms (2.9%)

Memory

8.5MiB live, 99.8MiB allocated; 15ms collecting garbage

Counts

10 → 37

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 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 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.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 (neg im)) (exp im))) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (.f64 #s(literal 1/24 binary64) (cos.f64 re))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 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 (neg 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 (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(approx (exp (neg 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

rewrite181.0ms (5.2%)

Memory

32.6MiB live, 127.1MiB allocated; 29ms collecting garbage

Counts

10 → 43

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 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 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (cosh.f64 im)) (cos.f64 re))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 (cos.f64 re) (.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (cosh.f64 im)))
(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(+.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 (sin.f64 re) #s(literal 0 binary64)))
(+.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64)))
(-.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (sin.f64 re) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64)))) (-.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (cos.f64 re) #s(literal 1 binary64))))
re
(neg.f64 (neg.f64 re))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (+.f64 im im))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 (.f64 im #s(literal 3 binary64)))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (+.f64 im im)))))
(.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (+.f64 im im))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 (+.f64 im im))) (exp.f64 (+.f64 im im)))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (neg.f64 (+.f64 im im)))) (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (neg.f64 (+.f64 im im))))))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 (+.f64 im im))) (exp.f64 im))
(*.f64 (pow.f64 (exp.f64 im) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 im) (exp.f64 (neg.f64 (+.f64 im im))))
(*.f64 #s(literal -1 binary64) im)
(-.f64 (log.f64 #s(literal 1 binary64)) im)
(-.f64 (log.f64 (neg.f64 #s(literal 1 binary64))) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (log.f64 (*.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) (/.f64 (expm1.f64 (+.f64 im im)) #s(literal 2 binary64))) (exp.f64 (neg.f64 im)))) (log.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) (/.f64 (expm1.f64 (+.f64 im im)) #s(literal 2 binary64)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im)))))
im
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 im))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im)))))
(log.f64 (exp.f64 im))
(neg.f64 (neg.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (+.f64 im im)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) (neg.f64 (exp.f64 im)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (.f64 (cosh.f64 im) (cosh.f64 im))))

eval11.0ms (0.3%)

Memory: -32.0MiB live, 13.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 573 to 391 computations (75.1% saved)

prune3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Accuracy

100.0%

Counts

77 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
▶	52.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	65.0%	(.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 (neg.f64 im)) (exp.f64 im)))
▶	64.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 54 to 50 computations (7.4% saved)

series140.0ms (4%)

Memory

5.6MiB live, 96.9MiB allocated; 14ms collecting garbage

Counts

24 → 60

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 (* -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 re re)
#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 (* (* (* (cos re) 2) (cosh im)) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (* (cos re) 2) (cosh im)) 1/2) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (* (cos re) 2) (cosh im)) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))
#s(approx (* (* (* (cos re) 2) (cosh im)) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (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 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
#s(approx (* (* (cos re) 2) (cosh im)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(approx (* (* (cos re) 2) (cosh im)) (+.f64 (exp.f64 im) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (cos re) 2) (cosh im)) (+.f64 (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (cos re) 2) (cosh im)) (+.f64 (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (cos re) 2) #s(literal 2 binary64))
#s(approx (* (cos re) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* (cos re) 2) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* (cos re) 2) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (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 (cos re) (cos.f64 re))
#s(approx (* (* (* (cos re) 2) (cosh im)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (cos re) 2) (cosh im)) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (cos re) 2) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (.f64 #s(literal 1/24 binary64) (cos.f64 re))))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 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 (neg 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 (* (* (cos re) 2) (cosh im)) (fma.f64 #s(literal 2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
#s(approx (* (* (cos re) 2) (cosh im)) (fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
#s(approx (* (* (cos re) 2) (cosh im)) (fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (.f64 #s(literal 1/12 binary64) (cos.f64 re))))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))

Calls

6 calls:

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

rewrite263.0ms (7.6%)

Memory

34.0MiB live, 134.2MiB allocated; 17ms collecting garbage

Counts

24 → 89

Calls

Call 1

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

Outputs
(.f64 #s(approx ( (cos re) 1/2) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (cos re) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 im) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (exp.f64 (neg.f64 (+.f64 im im))) (exp.f64 im))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 im) (exp.f64 (neg.f64 (+.f64 im im))))
(*.f64 #s(literal -1 binary64) im)
(-.f64 (log.f64 #s(literal 1 binary64)) im)
(-.f64 (log.f64 (neg.f64 #s(literal 1 binary64))) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (log.f64 (*.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) (/.f64 (expm1.f64 (+.f64 im im)) #s(literal 2 binary64))) (exp.f64 (neg.f64 im)))) (log.f64 (fma.f64 (cosh.f64 im) (cosh.f64 im) (/.f64 (expm1.f64 (+.f64 im im)) #s(literal 2 binary64)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im)))))
im
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 im))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (*.f64 (cosh.f64 im) (cosh.f64 im)))))
(log.f64 (exp.f64 im))
(neg.f64 (neg.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (+.f64 im im)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) (neg.f64 (exp.f64 im)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (.f64 (cosh.f64 im) (cosh.f64 im))))
(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)))) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (fma.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 re re))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 re re)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 #s(literal -1/4 binary64) (.f64 re re))
(.f64 (.f64 re #s(literal -1/4 binary64)) re)
(.f64 (.f64 re re) #s(literal -1/4 binary64))
(.f64 re (.f64 re #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 re)) (neg.f64 re))
#s(literal -1/4 binary64)
(neg.f64 (neg.f64 #s(literal -1/4 binary64)))
(*.f64 re re)
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 re re) (/.f64 (cosh.f64 im) (exp.f64 im))) (pow.f64 (.f64 re re) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 (+.f64 im im))) (neg.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))))
(.f64 (.f64 re (pow.f64 re (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (pow.f64 re (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
re
(*.f64 (pow.f64 re (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 re (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 re (/.f64 (cosh.f64 im) (exp.f64 im))) (pow.f64 re (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 (+.f64 im im))) (neg.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (pow.f64 re (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 re (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (pow.f64 re (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (neg.f64 (pow.f64 re (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (exp.f64 im)) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) (+.f64 (exp.f64 im) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (* 2 (cosh im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 1 binary64))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(.f64 (.f64 (cos.f64 re) (exp.f64 im)) (exp.f64 (neg.f64 im)))
(.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 (/.f64 (cos.f64 re) (exp.f64 im)) (exp.f64 im))
#s(approx (* 2 (cosh im)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (cosh.f64 im)) (cos.f64 re))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (cos.f64 re)) (cosh.f64 im))
(.f64 (.f64 (cos.f64 re) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im))
(.f64 (.f64 (cos.f64 re) (cosh.f64 im)) #s(literal 2 binary64))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (cos.f64 re))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 re) (cosh.f64 im)))
(.f64 (cos.f64 re) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 re re) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 re re) #s(literal 2 binary64)))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(*.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))

eval22.0ms (0.6%)

Memory: -15.0MiB live, 30.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 847 to 845 computations (82.6% saved)

prune9.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	209	3	212
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	211	5	216

Accuracy

100.0%

Counts

216 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
▶	64.6%	(.f64 (.f64 #s(approx (* (cos re) 2) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
✓	52.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	30.7%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	65.0%	(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))

Compiler

Compiled 64 to 60 computations (6.3% saved)

series234.0ms (6.7%)

Memory

-50.5MiB live, 101.5MiB allocated; 151ms collecting garbage

Counts

19 → 50

Calls

Call 1

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

Outputs
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (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 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (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 (* re -1/4) (*.f64 #s(literal -1/4 binary64) re))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 im) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
#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 (* (* (cos re) 2) (cosh im)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(approx (* (* (cos re) 2) (cosh im)) (+.f64 (exp.f64 im) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (cos re) 2) (cosh im)) (+.f64 (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (cos re) 2) (cosh im)) (+.f64 (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (cos re) 2) #s(literal 2 binary64))
#s(approx (* (cos re) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* (cos re) 2) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* (cos re) 2) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (cos re) 1/2) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (+ (* (* re -1/4) re) 1/2) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (+ (* (* re -1/4) re) 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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* (cos re) 2) (cosh im)) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (cos re) 2) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))))
#s(approx (* (* (cos re) 1/2) (* (cosh im) 2)) (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (.f64 #s(literal 1/24 binary64) (cos.f64 re))))))))
#s(approx (* (cosh im) 2) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (cosh im) 2) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (cosh im) 2) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (cosh im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx im im)
#s(approx (* (* (cos re) 2) (cosh im)) (fma.f64 #s(literal 2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
#s(approx (* (* (cos re) 2) (cosh im)) (fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (cos.f64 re) (.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
#s(approx (* (* (cos re) 2) (cosh im)) (fma.f64 #s(literal 2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (.f64 #s(literal 1/12 binary64) (cos.f64 re))))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (+ (exp (neg im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))

Calls

6 calls:

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

rewrite200.0ms (5.8%)

Memory

36.6MiB live, 81.8MiB allocated; 17ms collecting garbage

Counts

19 → 45

Calls

Call 1

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

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

eval10.0ms (0.3%)

Memory: 10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 982 to 388 computations (80.4% saved)

prune7.0ms (0.2%)

Memory

-40.4MiB live, 5.7MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	75	9	84

Accuracy

100.0%

Counts

84 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
✓	64.6%	(.f64 (.f64 #s(approx (* (cos re) 2) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
▶	8.9%	(.f64 (.f64 #s(approx (cos re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓	52.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓	30.7%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓	65.0%	(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
▶	14.7%	(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
▶	35.9%	(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 2 binary64))
▶	14.7%	(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 1 binary64))

Compiler

Compiled 113 to 105 computations (7.1% saved)

series102.0ms (2.9%)

Memory

31.3MiB live, 83.2MiB allocated; 12ms collecting garbage

Counts

15 → 19

Calls

Call 1

Inputs
(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))
(*.f64 re #s(literal -1/4 binary64))
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 (.f64 #s(approx (cos re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos re) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (cos re) #s(literal 2 binary64))

Outputs
#s(approx (* (* (cos re) 1/2) 1) #s(literal 1/2 binary64))
#s(approx (* (* (cos re) 1/2) 1) (+.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) 1) (+.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) 1) (+.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 (* re -1/4) (*.f64 #s(literal -1/4 binary64) re))
#s(approx re re)
#s(approx (* (* (cos re) 1/2) 2) #s(literal 1 binary64))
#s(approx (* (* (cos re) 1/2) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* (* (cos re) 1/2) 2) (+.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) 1/2) 2) (+.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 (* (* (cos re) 1/2) (* 2 2)) #s(literal 2 binary64))
#s(approx (* (* (cos re) 1/2) (* 2 2)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* (* (cos re) 1/2) (* 2 2)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* (cos re) 1/2) (* 2 2)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (* (cos re) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (+ (* (* re -1/4) re) 1/2) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (+ (* (* re -1/4) re) 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) 2) (cos.f64 re))
#s(approx (* (* (cos re) 1/2) (* 2 2)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))

Calls

6 calls:

Time	Variable	Point
1.0ms	re	inf
1.0ms	re	-inf
1.0ms	re	0
0.0ms	im	0
0.0ms	im	inf

rewrite178.0ms (5.1%)

Memory

-5.4MiB live, 317.7MiB allocated; 92ms collecting garbage

Counts

15 → 37

Calls

Call 1

Inputs
(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))
(*.f64 re #s(literal -1/4 binary64))
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(.f64 (.f64 #s(approx (cos re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos re) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (cos re) #s(literal 2 binary64))

Outputs
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 re #s(literal -1/4 binary64)) re) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 (.f64 re #s(literal -1/4 binary64)) re) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))))
(.f64 (.f64 (neg.f64 (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 re #s(literal -1/4 binary64)) re) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 re #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) re)
re
(neg.f64 (neg.f64 re))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal 1 binary64))) (exp.f64 (log.f64 #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal 1 binary64))) (exp.f64 (log.f64 #s(literal 1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal 1 binary64))) (exp.f64 (log.f64 #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos re) #s(literal 1 binary64))

eval7.0ms (0.2%)

Memory: 23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 448 to 208 computations (85.6% saved)

prune11.0ms (0.3%)

Memory

-32.2MiB live, 15.8MiB allocated; 9ms collecting garbage

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	0	0	0
Picked	1	3	4
Done	2	3	5
Total	70	13	83

Accuracy

100.0%

Counts

83 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
✓	64.6%	(.f64 (.f64 #s(approx (* (cos re) 2) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
	2.4%	(.f64 (.f64 #s(approx (cos re) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	8.4%	(.f64 (.f64 #s(approx (cos re) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	35.9%	(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	65.0%	(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
✓	14.7%	(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
✓	35.9%	(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓	14.7%	(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 1 binary64))
	8.9%	#s(approx (* (* (cos re) 1/2) (* 2 2)) #s(literal 2 binary64))
	52.9%	#s(approx (* (* (cos re) 1/2) 2) (cos.f64 re))
	30.7%	#s(approx (* (* (cos re) 1/2) 2) #s(literal 1 binary64))
	9.3%	#s(approx (* (* (cos re) 1/2) 1) #s(literal 1/2 binary64))

Compiler

Compiled 147 to 139 computations (5.4% saved)

regimes220.0ms (6.3%)

Memory

-3.3MiB live, 276.7MiB allocated; 86ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

7 → 1

11 → 2

12 → 2

14 → 2

17 → 3

19 → 1

Calls

Call 1

Inputs
#s(approx (* (* (cos re) 1/2) 1) #s(literal 1/2 binary64))

Outputs
#s(approx (* (* (cos re) 1/2) 1) #s(literal 1/2 binary64))

Call 2

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

Outputs
#s(approx (* (* (cos re) 1/2) 2) #s(literal 1 binary64))

Call 3

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

Outputs
(.f64 #s(approx ( (cos re) 1/2) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(approx (* (* (cos re) 1/2) 2) #s(literal 1 binary64))

Call 4

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

Outputs

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

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

Call 5

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

Outputs

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

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

Call 6

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

Outputs

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

#s(approx (* (* (cos re) 1/2) 2) (cos.f64 re))

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

Call 7

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

Outputs
(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))

Calls

39 calls:

31.0ms	(cos.f64 re)
29.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
11.0ms	re
9.0ms	im
9.0ms	re

Results

Accuracy	Segments	Branch
9.3%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
9.3%	1	`re`
9.3%	1	`im`
9.3%	1	`(cos.f64 re)`
9.3%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
9.3%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
30.7%	1	`re`
30.7%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
30.7%	1	`im`
30.7%	1	`(cos.f64 re)`
30.7%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
30.7%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
35.9%	1	`re`
38.7%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
38.7%	2	`im`
39.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
39.3%	2	`(cos.f64 re)`
39.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
66.8%	2	`re`
73.3%	2	`(cos.f64 re)`
73.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
78.2%	2	`(cos.f64 re)`
78.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
67.8%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
69.3%	2	`im`
78.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
89.7%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
81.9%	3	`(cos.f64 re)`
81.9%	3	`(*.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 (neg.f64 im)) (exp.f64 im)))`
77.2%	2	`re`
89.7%	2	`im`
100.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
100.0%	1	`(cos.f64 re)`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 393 to 256 computations (34.9% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9945036965538625	1.0
0.0ms	-inf	-0.9943546052830767

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.02724399781885916	0.07464487750264646

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.01362199890942958	0.03732243875132323

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.01362199890942958	0.03732243875132323

Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 189 to 50 computations (73.5% saved)

preprocess71.0ms (2.1%)

Memory

32.6MiB live, 123.3MiB allocated; 22ms collecting garbage

Remove

(abs im)

(abs re)

Compiler

Compiled 956 to 596 computations (37.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (47.8%)

preprocess40.0ms (1.2%)

series102.0ms (2.9%)

rewrite181.0ms (5.2%)

eval11.0ms (0.3%)

prune3.0ms (0.1%)

series140.0ms (4%)

rewrite263.0ms (7.6%)

eval22.0ms (0.6%)

prune9.0ms (0.3%)

series234.0ms (6.7%)

rewrite200.0ms (5.8%)

eval10.0ms (0.3%)

prune7.0ms (0.2%)

series102.0ms (2.9%)

rewrite178.0ms (5.1%)

eval7.0ms (0.2%)

prune11.0ms (0.3%)

regimes220.0ms (6.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations2.0ms (0.1%)

preprocess71.0ms (2.1%)

end0.0ms (0%)

Profiling