Metrics for math.sin on complex, real part

start0.0ms (0%)

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

analyze1.0ms (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 14 to 13 computations (7.1% saved)

sample1.5s (38.1%)

Memory

17.8MiB live, 1 123.0MiB allocated; 454ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 930.0ms

ival-sin: 487.0ms (52.3% of total)

ival-exp: 235.0ms (25.3% of total)

ival-mult!: 107.0ms (11.5% of total)

ival-add!: 78.0ms (8.4% of total)

ival-sub!: 21.0ms (2.3% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess68.0ms (1.7%)

Memory

-6.4MiB live, 39.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	66
1	189	54
2	1646	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Symmetry

(abs re)

(abs im)

(negabs re)

(negabs im)

Compiler

Compiled 24 to 22 computations (8.3% saved)

series114.0ms (2.8%)

Memory

13.3MiB live, 58.8MiB allocated; 12ms collecting garbage

Counts

11 → 37

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.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 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (fma.f64 #s(literal -1/12 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 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
#s(approx (* 1/2 (sin re)) (.f64 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 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
#s(approx (sin re) re)
#s(approx (sin re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (.f64 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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 (sin.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)) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.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)) (sin.f64 re)) (.f64 #s(literal 1/24 binary64) (sin.f64 re))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 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 (- 0 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 (- 0 im)) #s(literal 1 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 im) (exp.f64 (neg.f64 im))))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (+ (exp (- 0 im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(approx (exp (- 0 im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))

Calls

6 calls:

Time	Variable	Point
2.0ms	im	-inf
2.0ms	im	0
2.0ms	re	inf
2.0ms	im	inf
1.0ms	re	-inf

rewrite192.0ms (4.7%)

Memory

-5.1MiB live, 93.2MiB allocated; 20ms collecting garbage

Counts

11 → 43

Calls

Call 1

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

eval13.0ms (0.3%)

Memory: -32.3MiB live, 12.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 543 to 401 computations (74% saved)

prune4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	69	5	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	5	75

Accuracy

100.0%

Counts

75 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.4%	(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (sin.f64 re)) #s(literal 1/2 binary64))
▶	48.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
▶	26.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	39.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
▶	40.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))

Compiler

Compiled 168 to 146 computations (13.1% saved)

series188.0ms (4.6%)

Memory

-9.2MiB live, 88.9MiB allocated; 55ms collecting garbage

Counts

28 → 82

Calls

Call 1

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

Outputs
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 re (fma.f64 #s(literal -1/12 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 (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 re (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 -1/12 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 -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
#s(approx (* (* (cosh im) 2) (sin re)) (*.f64 re (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (cosh im) 2) (sin re)) (.f64 re (+.f64 (exp.f64 im) (fma.f64 #s(literal -1/6 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 (* (* (cosh im) 2) (sin re)) (.f64 re (+.f64 (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/120 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 (* (* (cosh im) 2) (sin re)) (.f64 re (+.f64 (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 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 -1/5040 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/120 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (sin re) re)
#s(approx (sin re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (.f64 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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (fma.f64 #s(literal -1/12 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 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))))
#s(approx (* re (+ (exp im) (exp (neg im)))) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
#s(approx (* 1/2 (sin re)) (.f64 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 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/6 binary64)))))))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/10080 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/5040 binary64))))))) #s(literal 1/6 binary64)))))))
#s(approx (* 1/2 (* (pow im 2) (sin re))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (* 1/2 (* (pow im 2) (sin re))) (.f64 re (fma.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 1/2 (* (pow im 2) (sin re))) (.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (* (pow im 2) (sin re))) (.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* (pow im 2) (sin re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
#s(approx (* (pow im 2) (sin re)) (.f64 re (fma.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (pow im 2) (sin re)) (.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (pow im 2) (sin re)) (.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (cosh im) 2) (sin re)) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
#s(approx (* 1/2 (* (pow im 2) (sin re))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
#s(approx (* (pow im 2) (sin re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (+.f64 (sin.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)) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.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)) (sin.f64 re)) (.f64 #s(literal 1/24 binary64) (sin.f64 re))))))))
#s(approx (* (* (cosh im) 2) (sin re)) (*.f64 #s(literal 2 binary64) (sin.f64 re)))
#s(approx (* (* (cosh im) 2) (sin re)) (fma.f64 #s(literal 2 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
#s(approx (* (* (cosh im) 2) (sin re)) (fma.f64 #s(literal 2 binary64) (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (sin.f64 re) (.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))
#s(approx (* (* (cosh im) 2) (sin re)) (fma.f64 #s(literal 2 binary64) (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (sin.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)) (sin.f64 re)) (.f64 #s(literal 1/12 binary64) (sin.f64 re))))))))
#s(approx (* (cosh im) 2) #s(literal 2 binary64))
#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) #s(literal 1 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 (* 1/2 (* re (+ (exp im) (exp (neg im))))) (+.f64 re (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))))
#s(approx (* 1/2 (* re (+ (exp im) (exp (neg im))))) (+.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)) re) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (* 1/2 (* re (+ (exp im) (exp (neg im))))) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re) (.f64 #s(literal 1/24 binary64) re)))))))
#s(approx (* re (+ (exp im) (exp (neg im)))) (*.f64 #s(literal 2 binary64) re))
#s(approx (* re (+ (exp im) (exp (neg im)))) (fma.f64 #s(literal 2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (* re (+ (exp im) (exp (neg im)))) (fma.f64 #s(literal 2 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 re (.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
#s(approx (* re (+ (exp im) (exp (neg im)))) (fma.f64 #s(literal 2 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.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)) re) (.f64 #s(literal 1/12 binary64) re)))))))
#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)) (+.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 (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (cosh im) 2) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(approx (cosh im) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (+ (exp im) (exp (neg im))) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (exp im) (exp.f64 im))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* 1/2 (* re (+ (exp im) (exp (neg im))))) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* re (+ (exp im) (exp (neg im)))) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (.f64 #s(literal -1 binary64) im)))))
#s(approx (+ (exp im) (exp (neg 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
6.0ms	im	inf
4.0ms	re	0
4.0ms	im	-inf
3.0ms	re	inf
3.0ms	re	-inf

rewrite173.0ms (4.2%)

Memory

26.0MiB live, 165.2MiB allocated; 10ms collecting garbage

Counts

28 → 108

Calls

Call 1

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

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

eval50.0ms (1.2%)

Memory: -31.3MiB live, 30.6MiB allocated; 52ms collecting garbage
Compiler: Compiled 4 083 to 710 computations (82.6% saved)

prune12.0ms (0.3%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	146	14	160
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	149	16	165

Accuracy

100.0%

Counts

165 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.4%	(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (sin.f64 re)) #s(literal 1/2 binary64))
▶	40.5%	(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))) #s(literal 1/2 binary64))
	40.1%	(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
	5.0%	(.f64 (.f64 (sin.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	3.5%	(.f64 (.f64 im (sin.f64 re)) #s(literal 1/2 binary64))
✓	26.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	40.1%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
▶	16.3%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	4.3%	(*.f64 (sin.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 1/2 binary64)))
	40.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
	22.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	4.9%	(*.f64 #s(literal 1/2 binary64) (sin.f64 #s(literal 2 binary64)))
▶	34.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin re) re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(approx (sin re) re)))))
	4.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	4.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	5.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 443 to 396 computations (10.6% saved)

series137.0ms (3.4%)

Memory

-0.7MiB live, 188.9MiB allocated; 32ms collecting garbage

Counts

29 → 69

Calls

Call 1

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

Outputs
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 re (fma.f64 #s(literal -1/12 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 (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 re (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 -1/12 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 -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
#s(approx (* (* (cosh im) 2) (sin re)) (*.f64 re (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (cosh im) 2) (sin re)) (.f64 re (+.f64 (exp.f64 im) (fma.f64 #s(literal -1/6 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 (* (* (cosh im) 2) (sin re)) (.f64 re (+.f64 (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/120 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 (* (* (cosh im) 2) (sin re)) (.f64 re (+.f64 (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 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 -1/5040 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/120 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (sin re) re)
#s(approx (sin re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (.f64 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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow re 2))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/6 (pow re 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow re 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (fma.f64 #s(literal -1/12 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 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
#s(approx (* 1/2 (sin re)) (.f64 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 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/6 binary64)))))))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/10080 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/5040 binary64))))))) #s(literal 1/6 binary64)))))))
#s(approx (* 1/2 (* (pow im 2) (sin re))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(approx (* 1/2 (* (pow im 2) (sin re))) (.f64 re (fma.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 1/2 (* (pow im 2) (sin re))) (.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (* (pow im 2) (sin re))) (.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* (pow im 2) (sin re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
#s(approx (* (pow im 2) (sin re)) (.f64 re (fma.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (pow im 2) (sin re)) (.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (pow im 2) (sin re)) (.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (cosh im) 2) (sin re)) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (sin re) (sin.f64 re))
#s(approx (* re (+ 1 (* -1/6 (pow re 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))))
#s(approx (* re (+ 1 (* -1/6 (pow re 2)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow re 2))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
#s(approx (* 1/2 (* (pow im 2) (sin re))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
#s(approx (* (pow im 2) (sin re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
#s(approx (* re (+ 1 (* -1/6 (pow re 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (+.f64 (sin.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)) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.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)) (sin.f64 re)) (.f64 #s(literal 1/24 binary64) (sin.f64 re))))))))
#s(approx (* (* (cosh im) 2) (sin re)) (*.f64 #s(literal 2 binary64) (sin.f64 re)))
#s(approx (* (* (cosh im) 2) (sin re)) (fma.f64 #s(literal 2 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
#s(approx (* (* (cosh im) 2) (sin re)) (fma.f64 #s(literal 2 binary64) (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (sin.f64 re) (.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))
#s(approx (* (* (cosh im) 2) (sin re)) (fma.f64 #s(literal 2 binary64) (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (sin.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)) (sin.f64 re)) (.f64 #s(literal 1/12 binary64) (sin.f64 re))))))))
#s(approx (* (cosh im) 2) #s(literal 2 binary64))
#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 (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (cosh im) 2) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(approx (cosh im) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (+ (exp (- 0 im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (+ (exp (- 0 im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))

Calls

6 calls:

Time	Variable	Point
3.0ms	re	inf
3.0ms	re	-inf
2.0ms	im	-inf
2.0ms	im	inf
1.0ms	re	0

rewrite176.0ms (4.3%)

Memory

-6.8MiB live, 178.8MiB allocated; 40ms collecting garbage

Counts

29 → 97

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re
#s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(*.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re
(*.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(*.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/6 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64))
(/.f64 #s(literal -1/6 binary64) #s(literal 2 binary64))
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/6 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64))
(/.f64 #s(literal -1/6 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re
#s(approx (sin 2) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))) #s(approx 2 #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64)))
#s(approx (sin 2) #s(literal 2 binary64))
#s(approx 2 #s(literal 2 binary64))
#s(approx (sin 2) (+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))))
(+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re
(*.f64 (sin.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64)))
(*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64)))
(*.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sin.f64 #s(literal 2 binary64)))
(*.f64 (sin.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64)))
(*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64)))
(*.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sin.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
re

eval34.0ms (0.8%)

Memory: 24.7MiB live, 24.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 642 to 534 computations (79.8% saved)

prune19.0ms (0.5%)

Memory

-22.1MiB live, 24.1MiB allocated; 9ms collecting garbage

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	4	5	9
Picked	1	4	5
Done	0	2	2
Total	95	18	113

Accuracy

100.0%

Counts

113 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.4%	(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (sin.f64 re)) #s(literal 1/2 binary64))
	28.9%	(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
	28.3%	(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
▶	40.1%	(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
▶	26.6%	(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	5.0%	(.f64 (.f64 (sin.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	3.8%	(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	4.3%	(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	26.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	40.1%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
✓	16.3%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	4.3%	(*.f64 (sin.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 1/2 binary64)))
	4.9%	(*.f64 #s(literal 1/2 binary64) (sin.f64 #s(literal 2 binary64)))
✓	34.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin re) re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(approx (sin re) re)))))
▶	4.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))))
	4.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	5.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
▶	4.5%	#s(approx (sin 2) #s(literal 2 binary64))

Compiler

Compiled 390 to 357 computations (8.5% saved)

series125.0ms (3.1%)

Memory

15.1MiB live, 159.6MiB allocated; 21ms collecting garbage

Counts

21 → 57

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(cosh.f64 im)
im
#s(literal 2 binary64)
#s(approx (sin re) re)
re
#s(literal 1/2 binary64)
#s(approx (sin 2) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))))
(+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64))))
#s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64))
#s(literal -1/6 binary64)

Outputs
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 re (fma.f64 #s(literal -1/12 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 (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 re (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 -1/12 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 -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
#s(approx (* (* (cosh im) 2) (sin re)) (*.f64 re (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (cosh im) 2) (sin re)) (.f64 re (+.f64 (exp.f64 im) (fma.f64 #s(literal -1/6 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 (* (* (cosh im) 2) (sin re)) (.f64 re (+.f64 (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/120 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 (* (* (cosh im) 2) (sin re)) (.f64 re (+.f64 (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 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 -1/5040 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (.f64 #s(literal 1/120 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (sin re) re)
#s(approx (sin re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (.f64 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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (fma.f64 #s(literal -1/12 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 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 re (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 -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (cosh im) 2) (sin re)) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (+.f64 (sin.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)) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))
#s(approx (* (* (* (cosh im) 2) (sin re)) 1/2) (+.f64 (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.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)) (sin.f64 re)) (.f64 #s(literal 1/24 binary64) (sin.f64 re))))))))
#s(approx (* (* (cosh im) 2) (sin re)) (*.f64 #s(literal 2 binary64) (sin.f64 re)))
#s(approx (* (* (cosh im) 2) (sin re)) (fma.f64 #s(literal 2 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
#s(approx (* (* (cosh im) 2) (sin re)) (fma.f64 #s(literal 2 binary64) (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (sin.f64 re) (.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))
#s(approx (* (* (cosh im) 2) (sin re)) (fma.f64 #s(literal 2 binary64) (sin.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (sin.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)) (sin.f64 re)) (.f64 #s(literal 1/12 binary64) (sin.f64 re))))))))
#s(approx (* (cosh im) 2) #s(literal 2 binary64))
#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) #s(literal 1 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 (* (* 2 (sin 2)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(literal 4 binary64) (sin.f64 #s(literal 2 binary64))))
#s(approx (* (* 2 (sin 2)) (+ (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (sin.f64 #s(literal 2 binary64)))))
#s(approx (* (* 2 (sin 2)) (+ (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 4 binary64) (sin.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 #s(literal 2 binary64)))))))
#s(approx (* (* 2 (sin 2)) (+ (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 4 binary64) (sin.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (sin.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/180 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (sin.f64 #s(literal 2 binary64)))))))))
#s(approx (* (* (* (cosh im) 2) (sin 2)) 1/2) (sin.f64 #s(literal 2 binary64)))
#s(approx (* (* (* (cosh im) 2) (sin 2)) 1/2) (+.f64 (sin.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64))))))
#s(approx (* (* (* (cosh im) 2) (sin 2)) 1/2) (+.f64 (sin.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(literal 2 binary64)))))))
#s(approx (* (* (* (cosh im) 2) (sin 2)) 1/2) (+.f64 (sin.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 #s(literal 2 binary64)))))))))
#s(approx (* (* (cosh im) 2) (sin 2)) (*.f64 #s(literal 2 binary64) (sin.f64 #s(literal 2 binary64))))
#s(approx (* (* (cosh im) 2) (sin 2)) (fma.f64 #s(literal 2 binary64) (sin.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64)))))
#s(approx (* (* (cosh im) 2) (sin 2)) (fma.f64 #s(literal 2 binary64) (sin.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (sin.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64))))))))
#s(approx (* (* (cosh im) 2) (sin 2)) (fma.f64 #s(literal 2 binary64) (sin.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (sin.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) (sin.f64 #s(literal 2 binary64)))))))))
#s(approx (* (cosh im) 2) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(approx (cosh im) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* 2 (sin 2)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (+ (exp (- 0 im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(approx (* (* (* (cosh im) 2) (sin 2)) 1/2) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (cosh im) 2) (sin 2)) (*.f64 (sin.f64 #s(literal 2 binary64)) (+.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* 2 (sin 2)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (+ (exp (- 0 im)) (exp im)) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))

Calls

6 calls:

Time	Variable	Point
3.0ms	im	-inf
3.0ms	im	inf
1.0ms	re	-inf
1.0ms	im	0
1.0ms	re	inf

rewrite176.0ms (4.3%)

Memory

-10.1MiB live, 223.3MiB allocated; 97ms collecting garbage

Counts

21 → 45

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(cosh.f64 im)
im
#s(literal 2 binary64)
#s(approx (sin re) re)
re
#s(literal 1/2 binary64)
#s(approx (sin 2) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))))
(+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64))))
#s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64))
#s(literal -1/6 binary64)

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

eval13.0ms (0.3%)

Memory: -7.2MiB live, 38.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 213 to 431 computations (80.5% saved)

prune9.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	1	6	7
Picked	0	5	5
Done	0	6	6
Total	97	21	118

Accuracy

100.0%

Counts

118 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.4%	(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (sin.f64 re)) #s(literal 1/2 binary64))
	28.9%	(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
	28.3%	(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
✓	40.1%	(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
✓	26.6%	(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	5.2%	(.f64 (.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
	10.3%	(.f64 (.f64 im #s(approx (sin re) re)) #s(literal 1/2 binary64))
	3.6%	(.f64 (.f64 im #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	3.8%	(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	4.3%	(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	26.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	40.1%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
✓	16.3%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	4.3%	(*.f64 (sin.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 1/2 binary64)))
	4.9%	(*.f64 #s(literal 1/2 binary64) (sin.f64 #s(literal 2 binary64)))
	5.0%	#s(approx (* (* (* (cosh im) 2) (sin 2)) 1/2) (sin.f64 #s(literal 2 binary64)))
✓	34.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin re) re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(approx (sin re) re)))))
✓	4.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))))
	4.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	5.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
✓	4.5%	#s(approx (sin 2) #s(literal 2 binary64))

Compiler

Compiled 273 to 249 computations (8.8% saved)

regimes285.0ms (7%)

Memory

-1.1MiB live, 418.8MiB allocated; 79ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

4 → 1

6 → 2

11 → 2

12 → 1

13 → 1

23 → 2

25 → 3

31 → 3

Calls

Call 1

Inputs
#s(approx (sin 2) #s(literal 2 binary64))

Outputs
#s(approx (sin 2) #s(literal 2 binary64))

Call 2

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

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

Call 3

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

Outputs

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

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

Call 4

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

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 im #s(approx (sin re) re)) #s(literal 1/2 binary64))

Call 5

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

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))

Call 6

Inputs
#s(approx (sin 2) #s(literal 2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 im #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 im #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))

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

Call 7

Inputs
#s(approx (sin 2) #s(literal 2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 im #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 im #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin re) re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(approx (sin re) re)))))
(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* (* (cosh im) 2) (sin 2)) 1/2) (sin.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 #s(literal 2 binary64)))
(*.f64 (sin.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))

Outputs

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

(*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))

Call 8

Inputs
#s(approx (sin 2) #s(literal 2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 im #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 im #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin re) re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(approx (sin re) re)))))
(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* (* (cosh im) 2) (sin 2)) 1/2) (sin.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 #s(literal 2 binary64)))
(*.f64 (sin.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 im (sin.f64 re)) #s(literal 1/2 binary64))

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))

Outputs

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

(*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (*.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))

(*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))

Call 9

Inputs
#s(approx (sin 2) #s(literal 2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 im #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 im #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin 2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (sin 2) #s(literal 2 binary64))))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin 2) (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 #s(approx (sin re) re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(approx (sin re) re)))))
(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
#s(approx (* (* (* (cosh im) 2) (sin 2)) 1/2) (sin.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 #s(literal 2 binary64)))
(*.f64 (sin.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 im (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))

Outputs

(*.f64 (*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(approx (sin re) (*.f64 (-.f64 #s(literal -1/6 binary64) #s(literal 2 binary64)) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64))

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))) (+.f64 #s(approx (exp (- 0 im)) #s(literal 1 binary64)) (exp.f64 im)))

Calls

48 calls:

20.0ms	im
18.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
17.0ms	(sin.f64 re)
15.0ms	im
13.0ms	re

Results

Accuracy	Segments	Branch
4.5%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
4.5%	1	`im`
4.5%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
4.5%	1	`(sin.f64 re)`
4.5%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
4.5%	1	`re`
5.0%	1	`(sin.f64 re)`
5.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
5.0%	1	`im`
5.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
5.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
5.0%	1	`re`
16.3%	1	`(sin.f64 re)`
16.3%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
16.3%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
16.3%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
16.3%	1	`im`
18.2%	2	`re`
23.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
22.7%	2	`im`
22.7%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
22.9%	3	`(sin.f64 re)`
22.9%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
22.9%	2	`re`
40.1%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
40.1%	1	`im`
40.1%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
40.1%	1	`(sin.f64 re)`
40.1%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
40.1%	1	`re`
40.1%	1	`im`
40.1%	1	`re`
40.1%	1	`(sin.f64 re)`
40.1%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
40.1%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
45.1%	3	`re`
43.9%	2	`(sin.f64 re)`
43.9%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
40.1%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
42.9%	2	`im`
53.1%	3	`im`
50.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
51.2%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
50.7%	2	`(sin.f64 re)`
50.7%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
53.2%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
48.4%	1	`re`
53.1%	3	`im`

Compiler

Compiled 653 to 350 computations (46.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9991031203235009	+inf
0.0ms	-0.9996288134016776	-0.997210179582326

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch47.0ms (1.2%)

Memory

6.7MiB live, 58.0MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	6.646856066528334e+176	6.907346832767864e+181
16.0ms	2.4958974855817202e-8	3.095828172001074e-5

Samples

29.0ms

272×

valid

Compiler

Compiled 465 to 475 computations (-2.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 8.0ms (35.6% of total)

ival-add!: 6.0ms (26.7% of total)

ival-exp: 5.0ms (22.3% of total)

ival-mult!: 3.0ms (13.4% of total)

ival-sub!: 1.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.018251074902957177	0.038896312634074046

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch24.0ms (0.6%)

Memory

-21.1MiB live, 25.0MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.1519891915260368e+40	1.6567154164243103e+41

Samples

16.0ms

96×

valid

Compiler

Compiled 159 to 154 computations (3.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 8.0ms (64.9% of total)

ival-exp: 2.0ms (16.2% of total)

ival-mult!: 2.0ms (16.2% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch11.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.810011641048233e-19	1.1320954436408437e-18

Samples

6.0ms

64×

valid

Compiler

Compiled 143 to 140 computations (2.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 1.0ms (24.8% of total)

ival-sin: 1.0ms (24.8% of total)

ival-mult!: 1.0ms (24.8% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 273 to 81 computations (70.3% saved)

preprocess645.0ms (15.9%)

Memory

2.4MiB live, 800.9MiB allocated; 277ms collecting garbage

Remove

(abs im)

(negabs im)

(abs re)

Compiler

Compiled 3 485 to 2 260 computations (35.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.5s (38.1%)

preprocess68.0ms (1.7%)

series114.0ms (2.8%)

rewrite192.0ms (4.7%)

eval13.0ms (0.3%)

prune4.0ms (0.1%)

series188.0ms (4.6%)

rewrite173.0ms (4.2%)

eval50.0ms (1.2%)

prune12.0ms (0.3%)

series137.0ms (3.4%)

rewrite176.0ms (4.3%)

eval34.0ms (0.8%)

prune19.0ms (0.5%)

series125.0ms (3.1%)

rewrite176.0ms (4.3%)

eval13.0ms (0.3%)

prune9.0ms (0.2%)

regimes285.0ms (7%)

bsearch1.0ms (0%)

bsearch47.0ms (1.2%)

bsearch1.0ms (0%)

bsearch24.0ms (0.6%)

bsearch11.0ms (0.3%)

derivations3.0ms (0.1%)

preprocess645.0ms (15.9%)

end0.0ms (0%)

Profiling