Metrics for math.cos on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.2s (18.7%)

Memory

40.4MiB live, 1 375.2MiB allocated

Samples

864.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 599.0ms

ival-cos: 289.0ms (48.2% of total)

ival-exp: 116.0ms (19.4% of total)

ival-mult: 99.0ms (16.5% of total)

ival-add: 43.0ms (7.2% of total)

ival-neg: 39.0ms (6.5% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain115.0ms (1.8%)

Memory

0.5MiB live, 198.9MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(exp.f64 im)`
0	-	-	`(neg.f64 im)`
1	(1.349495529303402e+131 230.18899946978897)	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	-	-	`(cos.f64 re)`
0	-	-	`im`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	-	-	`re`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 im))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	0

Precision?

0.0

Recall?

0/0

Samples

47.0ms

512×

valid

Compiler

Compiled 114 to 44 computations (61.4% saved)

Precisions

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

ival-cos: 11.0ms (36.3% of total)

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

ival-mult: 6.0ms (19.8% of total)

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

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

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess62.0ms (1%)

Memory

-9.3MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	57
1	91	55
2	258	55
3	587	55
4	910	55
5	1191	55
6	1418	55
7	1591	55
8	1641	55
9	1646	55
10	1646	55
11	1646	55
0	10	11
0	17	11
1	34	11
2	73	11
3	107	11
4	129	11
5	156	11
6	178	11
7	181	11
8	183	11
9	188	11
10	188	11
0	188	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs im)

(abs re)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify8.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 (neg.f64 im))
cost-diff	0	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	17	33
1	34	33
2	73	33
3	107	33
4	129	33
5	156	33
6	178	33
7	181	33
8	183	33
9	188	33
10	188	33
0	188	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.5%)

Memory

13.1MiB live, 50.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.00390625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Samples

28.0ms

256×

valid

Compiler

Compiled 68 to 22 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 6.0ms (40.7% of total)

ival-exp: 3.0ms (20.3% of total)

ival-mult: 3.0ms (20.3% of total)

ival-add: 1.0ms (6.8% of total)

ival-neg: 1.0ms (6.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

-23.0MiB live, 14.4MiB allocated

Counts

6 → 34

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
(* 1/2 (cos re))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ (exp im) (exp (neg im)))
(exp (neg im))
(exp im)
(+ (exp im) (exp (* -1 im)))
(exp (* -1 im))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	re	@	inf	((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im))
1.0ms	im	@	0	((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im))
1.0ms	im	@	inf	((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im))
1.0ms	im	@	-inf	((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im))
1.0ms	re	@	0	((* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (exp im))

simplify242.0ms (3.7%)

Memory

2.1MiB live, 258.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	387
1	346	355
2	1078	345
3	3262	328
4	7338	328
5	7943	328
0	8010	288

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
(* 1/2 (cos re))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ (exp im) (exp (neg im)))
(exp (neg im))
(exp im)
(+ (exp im) (exp (* -1 im)))
(exp (* -1 im))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (+ (exp im) (exp (neg im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(.f64 (cos.f64 re) (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))))
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp im)
(exp.f64 im)
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite153.0ms (2.3%)

Memory

7.7MiB live, 197.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	17	28
1	47	24
2	285	22
3	2485	22
0	9034	22

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 276

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (-.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))) (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (-.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))) (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))))
(/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 (cos.f64 re) (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(+.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 im))
(pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 im) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 im))) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(exp.f64 (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 2 binary64) im)))
(exp.f64 (fma.f64 #s(literal -2 binary64) im (*.f64 #s(literal 3 binary64) im)))
(exp.f64 (*.f64 im #s(literal 1 binary64)))
(exp.f64 im)

eval30.0ms (0.5%)

Memory: 12.2MiB live, 50.1MiB allocated
Compiler: Compiled 7 347 to 1 051 computations (85.7% saved)

prune6.0ms (0.1%)

Memory

-21.7MiB live, 16.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	303	4	307
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	304	4	308

Accuracy

100.0%

Counts

308 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.5%	(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
▶	75.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	51.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Compiler

Compiled 52 to 45 computations (13.5% saved)

simplify85.0ms (1.3%)

Memory

-3.3MiB live, 79.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
cost-diff	640	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))))
cost-diff	7744	(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(cosh.f64 im)
cost-diff	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
cost-diff	320	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
cost-diff	0	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	145
0	44	130
1	92	128
2	238	126
3	743	126
4	2318	126
5	6773	118
0	8592	118

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize147.0ms (2.3%)

Memory

21.5MiB live, 182.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(sinh.f64 im)
accuracy	0.0625	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))))
accuracy	0.6835937500000001	(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
accuracy	0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0	(cosh.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy	1.313624707433252	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
accuracy	1.5174435895455256	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))

Samples

83.0ms	121×	5	exit
45.0ms	135×	0	valid

Compiler

Compiled 279 to 54 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

adjust: 25.0ms (33.1% of total)

ival-mult: 22.0ms (29.1% of total)

ival-exp: 9.0ms (11.9% of total)

ival-cos: 6.0ms (7.9% of total)

ival-add: 5.0ms (6.6% of total)

ival-div: 2.0ms (2.6% of total)

ival-cosh: 2.0ms (2.6% of total)

ival-sinh: 2.0ms (2.6% of total)

ival-neg: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory

4.1MiB live, 41.6MiB allocated

Counts

13 → 55

Calls

Call 1

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

Outputs
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))
(+ (* -1/4 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))))
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))))))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* 1/48 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))))))
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/48 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ (cos re) (* 1/2 (* (pow im 2) (- (* 4/3 (cos re)) (* 1/3 (cos re))))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))) (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (cos re)) (+ (* 1/2520 (cos re)) (+ (* 1/120 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* 1/6 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) (* 1/2 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re))))))))))))
(* 2 (* im (cos re)))
(* im (+ (* 4/3 (* (pow im 2) (cos re))) (* 2 (cos re))))
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/15 (* (pow im 2) (cos re))) (* 4/3 (cos re))))))
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/3 (cos re)) (* (pow im 2) (+ (* 8/315 (* (pow im 2) (cos re))) (* 4/15 (cos re))))))))
im
(* im (+ 1 (* 1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))
(+ (exp im) (exp (neg im)))
(* 1/2 (- (exp im) (/ 1 (exp im))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	re	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* (cos re) 1/2) (sinh im))
7.0ms	im	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* (cos re) 1/2) (sinh im))
4.0ms	im	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* (cos re) 1/2) (sinh im))
4.0ms	re	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* (cos re) 1/2) (sinh im))
3.0ms	re	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* (cos re) 1/2) (sinh im))

simplify176.0ms (2.7%)

Memory

4.3MiB live, 193.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	1148
1	770	993
2	2449	876
3	6233	847
0	8303	774

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

Calls

Call 1

Inputs
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))
(+ (* -1/4 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))))
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))))))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))
(+ (* -1/4 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* 1/48 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))))))
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/48 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ (cos re) (* 1/2 (* (pow im 2) (- (* 4/3 (cos re)) (* 1/3 (cos re))))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))) (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (cos re)) (+ (* 1/2520 (cos re)) (+ (* 1/120 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* 1/6 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) (* 1/2 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re))))))))))))
(* 2 (* im (cos re)))
(* im (+ (* 4/3 (* (pow im 2) (cos re))) (* 2 (cos re))))
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/15 (* (pow im 2) (cos re))) (* 4/3 (cos re))))))
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/3 (cos re)) (* (pow im 2) (+ (* 8/315 (* (pow im 2) (cos re))) (* 4/15 (cos re))))))))
im
(* im (+ 1 (* 1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))
(+ (exp im) (exp (neg im)))
(* 1/2 (- (exp im) (/ 1 (exp im))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (+ (exp im) (exp (neg im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) #s(literal 1/2 binary64))
(+ (* -1/4 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))))))
(fma.f64 (.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im))))) (* 1/48 (/ (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))) (- (exp im) (/ 1 (exp im))))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* 1/48 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))))))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/4 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (* 2 im)) (/ 1 (exp (* 2 im)))))) (* 1/48 (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))))))
(fma.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(.f64 (cos.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(fma.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ (cos re) (* 1/2 (* (pow im 2) (- (* 4/3 (cos re)) (* 1/3 (cos re))))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))) (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/12 binary64)) im) im (cos.f64 re)) #s(literal 1/2 binary64)) (.f64 im im) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (cos re)) (+ (* 1/2520 (cos re)) (+ (* 1/120 (- (* 4/3 (cos re)) (* 1/3 (cos re)))) (* 1/6 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re)))))))))))) (* 1/2 (- (* 4/15 (cos re)) (+ (* 1/60 (cos re)) (* 1/6 (- (* 4/3 (cos re)) (* 1/3 (cos re))))))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 im im) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 re) #s(literal 1/12 binary64)))) (.f64 im im) (.f64 (cos.f64 re) #s(literal 1/12 binary64))) (cos.f64 re))) (*.f64 im im) (cos.f64 re))
(* 2 (* im (cos re)))
(.f64 (.f64 (cos.f64 re) #s(literal 2 binary64)) im)
(* im (+ (* 4/3 (* (pow im 2) (cos re))) (* 2 (cos re))))
(.f64 (.f64 (cos.f64 re) im) (fma.f64 #s(literal 4/3 binary64) (*.f64 im im) #s(literal 2 binary64)))
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/15 (* (pow im 2) (cos re))) (* 4/3 (cos re))))))
(.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal 4/15 binary64) (.f64 im im) #s(literal 4/3 binary64)) #s(literal 2 binary64))) im)
(* im (+ (* 2 (cos re)) (* (pow im 2) (+ (* 4/3 (cos re)) (* (pow im 2) (+ (* 8/315 (* (pow im 2) (cos re))) (* 4/15 (cos re))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal 8/315 binary64) (.f64 im im) #s(literal 4/15 binary64)) #s(literal 4/3 binary64))) (.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) im))
im
(* im (+ 1 (* 1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal 1/6 binary64)) im)
(* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal 1/6 binary64)) im)
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (- (exp im) (/ 1 (exp im))))
(*.f64 (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite229.0ms (3.5%)

Memory

-28.0MiB live, 139.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	100
0	44	85
1	128	73
2	710	73
3	7146	73
0	8261	73

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

13 → 752

Calls

Call 1

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

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

eval131.0ms (2%)

Memory: 15.3MiB live, 92.8MiB allocated
Compiler: Compiled 9 218 to 1 355 computations (85.3% saved)

prune45.0ms (0.7%)

Memory

-8.4MiB live, 31.0MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	522	10	532
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	524	12	536

Accuracy

100.0%

Counts

536 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) (cos.f64 re)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
	62.3%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
✓	75.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	51.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
▶	36.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	49.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	33.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	51.4%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	32.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	44.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	27.5%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Compiler

Compiled 399 to 319 computations (20.1% saved)

simplify22.0ms (0.3%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(cosh.f64 im)
cost-diff	0	(*.f64 (cosh.f64 im) (cos.f64 re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	269
0	52	269
1	91	269
2	137	269
3	254	269
4	455	269
5	576	269
6	626	269
7	673	269
8	763	269
9	766	269
10	771	269
11	771	269
0	771	269

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
im
(cos.f64 re)
re
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
#s(literal -1/1440 binary64)
(*.f64 re re)
re
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (cosh.f64 im))
(cosh.f64 im)
im
(cos.f64 re)
re
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
#s(literal -1/1440 binary64)
(*.f64 re re)
re
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)

localize112.0ms (1.7%)

Memory

-9.6MiB live, 118.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))
accuracy	0.2869423019852455	(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
accuracy	30.821464847354896	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	31.836008413815076	#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
accuracy	0.1015625	(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
accuracy	30.821464847354896	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	31.919744442580672	#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 re re)
accuracy	0.00390625	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
accuracy	30.821464847354896	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	31.751596285191564	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0.00390625	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
accuracy	29.595389459163393	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	30.821464847354896	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	0	(cosh.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(*.f64 (cosh.f64 im) (cos.f64 re))

Samples

82.0ms

256×

valid

Compiler

Compiled 458 to 64 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 14.0ms (32% of total)

ival-add: 7.0ms (16% of total)

const: 7.0ms (16% of total)

ival-cos: 6.0ms (13.7% of total)

ival-exp: 5.0ms (11.4% of total)

ival-cosh: 3.0ms (6.9% of total)

ival-neg: 1.0ms (2.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-19.2MiB live, 18.9MiB allocated

Counts

19 → 55

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
(cos.f64 re)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))

Outputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(pow re 2)
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)
1/48
(+ 1/48 (* -1/1440 (pow re 2)))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* 1/48 (pow re 2))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* -1/1440 (pow re 6))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* -1/1440 (pow re 4))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* -1/1440 (pow re 2))
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	re	@	inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48))
3.0ms	re	@	-inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48))
1.0ms	re	@	0	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48))
1.0ms	im	@	inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48))
1.0ms	im	@	-inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48))

simplify275.0ms (4.2%)

Memory

36.2MiB live, 218.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	678
1	473	623
2	1307	609
3	3751	578
0	8474	529

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

Calls

Call 1

Inputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(pow re 2)
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)
1/48
(+ 1/48 (* -1/1440 (pow re 2)))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* 1/48 (pow re 2))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* -1/1440 (pow re 6))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* -1/1440 (pow re 4))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* -1/1440 (pow re 2))
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (+ (exp im) (exp (neg im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(pow re 2)
(*.f64 re re)
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow re 2)) 1/4)
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))
1/48
#s(literal 1/48 binary64)
(+ 1/48 (* -1/1440 (pow re 2)))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(* -1/4 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/4 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(* 1/48 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* 1/48 (pow re 2))
(.f64 #s(literal 1/48 binary64) (.f64 re re))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(* -1/1440 (pow re 6))
(*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1440 binary64))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/1440 binary64)) (pow.f64 re #s(literal 6 binary64)))
(* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 re re)))) (pow.f64 re #s(literal 6 binary64)))
(* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1/48 binary64) (.f64 re re))) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/1440 binary64))) (pow.f64 re #s(literal 6 binary64)))
(* -1/1440 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/1440 binary64)) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 re re)))) (pow.f64 re #s(literal 4 binary64)))
(* -1/1440 (pow re 2))
(.f64 #s(literal -1/1440 binary64) (.f64 re re))
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(.f64 (cos.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(.f64 (cos.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite194.0ms (3%)

Memory

-34.5MiB live, 224.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	220
0	52	220
1	177	210
2	1141	210
0	8227	210

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

19 → 319

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
(cos.f64 re)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))

Outputs
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 re) (cosh.f64 im))
(*.f64 (cosh.f64 im) (cos.f64 re))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 2 binary64))
(/.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(.f64 (/.f64 (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im))))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64)))
(cosh.f64 im)
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(cos.f64 re)
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/8 binary64)))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (*.f64 re re) #s(literal 1/8 binary64))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/8 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 re re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/8 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal -1/2 binary64))))
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(.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2304 binary64)) (pow.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (.f64 (*.f64 re re) #s(literal 1/69120 binary64))))))
(.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (pow.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 re re) #s(literal -1/69120 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))) (/.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64)))) (.f64 (/.f64 #s(literal -1/2304 binary64) (fma.f64 #s(literal 1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (/.f64 #s(literal -1/2304 binary64) (fma.f64 #s(literal 1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))) (/.f64 #s(literal -1/2304 binary64) (fma.f64 #s(literal 1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2304 binary64) (fma.f64 #s(literal 1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))) (/.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))) (fma.f64 (/.f64 #s(literal -1/2304 binary64) (fma.f64 #s(literal 1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (/.f64 #s(literal -1/2304 binary64) (fma.f64 #s(literal 1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))) (/.f64 #s(literal -1/2304 binary64) (fma.f64 #s(literal 1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/48 binary64) (.f64 #s(literal -1/1440 binary64) (*.f64 re re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2304 binary64)))) (neg.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (.f64 (.f64 re re) #s(literal -1/69120 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) #s(literal 4 binary64)) #s(literal 1/5308416 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8916100448256000000 binary64) (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/12230590464 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) #s(literal 4 binary64)) (+.f64 #s(literal 1/5308416 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4777574400 binary64)))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8916100448256000000 binary64) (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/12230590464 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/110592 binary64)) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (.f64 (.f64 re re) #s(literal -1/69120 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal -1/26623333280885243904000000000 binary64) (pow.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/1352605460594688 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/8916100448256000000 binary64) (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/12230590464 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/330225942528000 binary64)))) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (.f64 (*.f64 re re) #s(literal -1/69120 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))) (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64)) #s(literal 1/2304 binary64))) (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)))) (-.f64 #s(literal 1/48 binary64) (.f64 #s(literal -1/1440 binary64) (*.f64 re re))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2304 binary64))) (fma.f64 #s(literal 1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (.f64 (.f64 re re) #s(literal 1/69120 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (.f64 (.f64 re re) #s(literal -1/69120 binary64))))))
(/.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2304 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal -1/48 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)))))
(/.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (.f64 (.f64 re re) #s(literal 1/69120 binary64)))))
(/.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (.f64 (.f64 re re) #s(literal -1/69120 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/48 binary64) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2304 binary64) (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (.f64 (.f64 re re) #s(literal 1/69120 binary64)))) (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2304 binary64)) (fma.f64 #s(literal 1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2985984000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (neg.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (.f64 (.f64 re re) #s(literal -1/69120 binary64)))))))
(fma.f64 (*.f64 #s(literal -1/1440 binary64) re) re #s(literal 1/48 binary64))
(fma.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/2304 binary64) (fma.f64 #s(literal 1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)))))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))
(fma.f64 re (*.f64 #s(literal -1/1440 binary64) re) #s(literal 1/48 binary64))
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (.f64 #s(literal -1/1440 binary64) (.f64 re re)))) (/.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/48 binary64) (.f64 #s(literal -1/1440 binary64) (*.f64 re re)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))) (/.f64 #s(literal -1/2304 binary64) (fma.f64 #s(literal 1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal -1/48 binary64))) (neg.f64 (/.f64 #s(literal -1/2304 binary64) (fma.f64 #s(literal 1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)))))
(+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) #s(literal 1/48 binary64))
(+.f64 #s(literal 1/48 binary64) (.f64 #s(literal -1/1440 binary64) (.f64 re re)))

eval91.0ms (1.4%)

Memory: 13.0MiB live, 85.2MiB allocated
Compiler: Compiled 16 475 to 1 952 computations (88.2% saved)

prune73.0ms (1.1%)

Memory

-1.4MiB live, 47.9MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	408	8	416
Fresh	1	4	5
Picked	2	3	5
Done	0	2	2
Total	411	17	428

Accuracy

100.0%

Counts

428 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) (cos.f64 re)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
✓	75.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	51.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
▶	62.3%	(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
▶	36.4%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	49.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	36.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	33.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	51.4%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	32.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	33.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	32.9%	(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	9.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	55.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
▶	44.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	27.5%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Compiler

Compiled 651 to 511 computations (21.5% saved)

simplify75.0ms (1.2%)

Memory

-20.4MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re)))
cost-diff	0	(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re)
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	(fma.f64 im im #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
cost-diff	0	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	#s(approx (cos re) #s(literal 1 binary64))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	342
0	61	342
1	101	342
2	139	342
3	206	342
4	271	342
5	293	342
6	334	342
7	378	342
8	461	342
9	464	342
10	469	342
11	469	342
0	469	337

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(cosh.f64 im)
im
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re)
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64))
#s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re)))
(.f64 #s(literal -1/1440 binary64) (.f64 re re))
#s(literal -1/1440 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))
(cosh.f64 im)
im
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re)
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64))
#s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re)))
(.f64 #s(literal -1/1440 binary64) (.f64 re re))
#s(literal -1/1440 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)

localize136.0ms (2.1%)

Memory

2.2MiB live, 119.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3806923019852455	(.f64 #s(literal -1/1440 binary64) (.f64 re re))
accuracy	30.821464847354896	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	31.264776402402706	#s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re)))
accuracy	31.836008413815076	#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
accuracy	0.07421875	(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re)
accuracy	0.1015625	(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
accuracy	30.821464847354896	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	31.919744442580672	#s(approx (* 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64)))
accuracy	0	(*.f64 re re)
accuracy	0.00390625	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy	15.894877659094881	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	31.751596285191564	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0	(fma.f64 im im #s(literal 2 binary64))
accuracy	0.00390625	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy	15.894877659094881	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	29.595389459163393	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	0	(cosh.f64 im)
accuracy	0.00390625	(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
accuracy	29.595786455047065	#s(approx (cos re) #s(literal 1 binary64))

Samples

106.0ms

256×

valid

Compiler

Compiled 556 to 78 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 57.0ms (66.9% of total)

ival-add: 8.0ms (9.4% of total)

ival-cos: 6.0ms (7% of total)

const: 6.0ms (7% of total)

ival-exp: 3.0ms (3.5% of total)

ival-cosh: 3.0ms (3.5% of total)

ival-neg: 1.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

22 → 58

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(cosh.f64 im)
#s(approx (cos re) #s(literal 1 binary64))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64))
#s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(.f64 #s(literal -1/1440 binary64) (.f64 re re))

Outputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(pow re 2)
(* -1/4 re)
(* re (- (* 1/48 (pow re 2)) 1/4))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)
1/48
(+ 1/48 (* -1/1440 (pow re 2)))
(* -1/1440 (pow re 2))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* 1/48 (pow re 3))
(* (pow re 3) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* -1/1440 (pow re 4))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* 1/48 (pow re 2))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* -1 (* (pow re 3) (- (* 1/4 (/ 1 (pow re 2))) 1/48)))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (exp im) (exp (neg im)))
(pow im 2)
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	re	@	-inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* (+ (* 1/48 (* re re)) -1/4) re) re) 1/2) (* (+ (* 1/48 (* re re)) -1/4) re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (+ (* 1/48 (* re re)) -1/4) (* -1/1440 (* re re)))
3.0ms	re	@	inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* (+ (* 1/48 (* re re)) -1/4) re) re) 1/2) (* (+ (* 1/48 (* re re)) -1/4) re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (+ (* 1/48 (* re re)) -1/4) (* -1/1440 (* re re)))
2.0ms	im	@	-inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* (+ (* 1/48 (* re re)) -1/4) re) re) 1/2) (* (+ (* 1/48 (* re re)) -1/4) re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (+ (* 1/48 (* re re)) -1/4) (* -1/1440 (* re re)))
2.0ms	im	@	inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* (+ (* 1/48 (* re re)) -1/4) re) re) 1/2) (* (+ (* 1/48 (* re re)) -1/4) re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (+ (* 1/48 (* re re)) -1/4) (* -1/1440 (* re re)))
1.0ms	re	@	0	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* (+ (* 1/48 (* re re)) -1/4) re) re) 1/2) (* (+ (* 1/48 (* re re)) -1/4) re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/1440 (* re re)) 1/48) (+ (exp (neg im)) (exp im)) (+ (* 1/48 (* re re)) -1/4) (* -1/1440 (* re re)))

simplify335.0ms (5.2%)

Memory

24.3MiB live, 247.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	665
1	487	610
2	1365	596
3	3952	565
0	8284	512

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 58

Calls

Call 1

Inputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (+ (exp im) (exp (neg im))))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(pow re 2)
(* -1/4 re)
(* re (- (* 1/48 (pow re 2)) 1/4))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)
1/48
(+ 1/48 (* -1/1440 (pow re 2)))
(* -1/1440 (pow re 2))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* 1/48 (pow re 4))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(* 1/48 (pow re 3))
(* (pow re 3) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* -1/1440 (pow re 4))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* 1/48 (pow re 2))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(* -1 (* (pow re 3) (- (* 1/4 (/ 1 (pow re 2))) 1/48)))
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (exp im) (exp (neg im)))
(pow im 2)
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (+ (exp im) (exp (neg im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(pow re 2)
(*.f64 re re)
(* -1/4 re)
(*.f64 #s(literal -1/4 binary64) re)
(* re (- (* 1/48 (pow re 2)) 1/4))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) re)
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow re 2)) 1/4)
(fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)
(fma.f64 (fma.f64 (.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))
1/48
#s(literal 1/48 binary64)
(+ 1/48 (* -1/1440 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))
(* -1/1440 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/1440 binary64))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(* 1/2 (cos re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(* -1/4 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/4 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(* 1/48 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/48 binary64))
(* (pow re 4) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 4) (- (+ 1/48 (/ 1/2 (pow re 4))) (* 1/4 (/ 1 (pow re 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* 1/48 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/48 binary64))
(* (pow re 3) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) re)
(* -1/1440 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/1440 binary64)) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/1440 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 re re)))) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(fma.f64 (*.f64 re re) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))
(* 1/48 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/48 binary64))
(* (pow re 2) (- 1/48 (* 1/4 (/ 1 (pow re 2)))))
(fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(* -1 (* (pow re 3) (- (* 1/4 (/ 1 (pow re 2))) 1/48)))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) re)
(+ (cos re) (* 1/2 (* (pow im 2) (cos re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 re))
(+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))
(.f64 (cos.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))
(.f64 (cos.f64 re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(pow im 2)
(*.f64 im im)
(* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))
(fma.f64 im im #s(literal 2 binary64))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite195.0ms (3%)

Memory

30.6MiB live, 218.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	270
0	61	270
1	202	258
2	1261	258
0	8286	254

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 297

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(cosh.f64 im)
#s(approx (cos re) #s(literal 1 binary64))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (*.f64 re re) #s(literal -1/4 binary64))
#s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(.f64 #s(literal -1/1440 binary64) (.f64 re re))

Outputs
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 2 binary64))
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(+.f64 (.f64 #s(approx (+ ( -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (*.f64 re re)) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (.f64 #s(approx (+ ( -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (*.f64 re re)))
#s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (.f64 re re)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 re re) #s(literal -1/192 binary64)))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal -1/16 binary64)) (pow.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (.f64 (.f64 re re) #s(literal -1/192 binary64))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 re re) #s(literal -1/192 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64)))) (.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)))) (neg.f64 (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 re re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal -1/16 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 re re) #s(literal -1/192 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 4 binary64)) #s(literal 1/256 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/12230590464 binary64) #s(literal -1/4096 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 4 binary64)) (+.f64 #s(literal 1/256 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/36864 binary64)))) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/12230590464 binary64) #s(literal -1/4096 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64) #s(literal 1/64 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 re re) #s(literal -1/192 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/1352605460594688 binary64) #s(literal -1/262144 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/12230590464 binary64) (-.f64 #s(literal 1/4096 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/7077888 binary64)))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 re re) #s(literal -1/192 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64))) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 re re))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64) #s(literal -1/64 binary64))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (.f64 (*.f64 re re) #s(literal -1/192 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 re re) #s(literal -1/192 binary64))))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (.f64 (*.f64 re re) #s(literal -1/192 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64) #s(literal -1/64 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 re re) #s(literal -1/192 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (-.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (.f64 (*.f64 re re) #s(literal -1/192 binary64)))) (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/110592 binary64) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 #s(literal 1/48 binary64) re) re #s(literal -1/4 binary64))
(fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (pow.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(fma.f64 re (*.f64 #s(literal 1/48 binary64) re) #s(literal -1/4 binary64))
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (.f64 re re)))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 re re)))))
(-.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal 1/4 binary64)))))
(+.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (.f64 re re)))
(.f64 (.f64 #s(literal -1/1440 binary64) re) re)
(.f64 #s(literal -1/1440 binary64) (.f64 re re))
(.f64 (.f64 re re) #s(literal -1/1440 binary64))
(.f64 re (.f64 #s(literal -1/1440 binary64) re))

eval142.0ms (2.2%)

Memory: -71.6MiB live, 92.1MiB allocated
Compiler: Compiled 15 995 to 1 847 computations (88.5% saved)

prune21.0ms (0.3%)

Memory

13.1MiB live, 50.6MiB allocated

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	415	4	419
Fresh	2	5	7
Picked	1	4	5
Done	0	5	5
Total	418	18	436

Accuracy

100.0%

Counts

436 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) (cos.f64 re)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
✓	75.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	51.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
✓	62.3%	(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
✓	36.4%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	36.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓	33.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	28.2%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
✓	32.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	33.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	32.9%	(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	9.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
✓	44.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	19.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
✓	27.5%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	55.2%	(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
	53.5%	(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))

Compiler

Compiled 927 to 422 computations (54.5% saved)

regimes54.0ms (0.8%)

Memory

15.1MiB live, 94.1MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (cosh.f64 im) (cos.f64 re))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) (cos.f64 re)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))

Outputs
(*.f64 (cosh.f64 im) (cos.f64 re))

Calls

6 calls:

12.0ms	(cos.f64 re)
11.0ms	im
8.0ms	re
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	1	`(cos.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes46.0ms (0.7%)

Memory

-25.2MiB live, 95.0MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))

Outputs

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

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

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

Calls

6 calls:

11.0ms	re
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	im
6.0ms	(cos.f64 re)
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
85.7%	2	`re`
92.8%	3	`im`
98.7%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
88.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
88.3%	2	`(cos.f64 re)`
86.5%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes7.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))

Outputs

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

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
98.5%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes95.0ms (1.5%)

Memory

-0.4MiB live, 75.1MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))

Outputs

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

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

Calls

6 calls:

64.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	re
6.0ms	im
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
65.2%	2	`re`
62.3%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
75.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
75.0%	2	`(cos.f64 re)`
65.8%	2	`im`
75.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes17.0ms (0.3%)

Memory

-5.1MiB live, 34.2MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Outputs

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

(*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))

Calls

3 calls:

6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(cos.f64 re)
5.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
67.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
67.8%	2	`(cos.f64 re)`
67.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes65.0ms (1%)

Memory

-27.6MiB live, 18.0MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) re #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) (.f64 #s(literal -1/1440 binary64) (.f64 re re))) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Outputs

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

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

(*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))

Calls

3 calls:

56.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(cos.f64 re)
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
68.3%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
68.3%	3	`(cos.f64 re)`
66.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes12.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

(*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))

Calls

3 calls:

4.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(cos.f64 re)
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
66.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
66.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
66.2%	2	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes24.0ms (0.4%)

Memory

-6.4MiB live, 32.4MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Outputs

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

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (*.f64 #s(literal 1/48 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

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

Calls

6 calls:

9.0ms	re
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	im
3.0ms	(cos.f64 re)
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
51.4%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
51.4%	1	`re`
54.9%	3	`im`
60.4%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
60.4%	3	`(cos.f64 re)`
57.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes9.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(cos.f64 re)
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
57.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
57.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
57.0%	2	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
56.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
56.7%	2	`(cos.f64 re)`
56.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes38.0ms (0.6%)

Memory

-14.4MiB live, 22.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

26.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	re
2.0ms	im
2.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
50.1%	2	`re`
44.3%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
47.6%	3	`im`
52.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
52.2%	2	`(cos.f64 re)`
52.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes7.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
52.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
52.2%	2	`(cos.f64 re)`
52.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes38.0ms (0.6%)

Memory

-17.9MiB live, 20.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

30.0ms	(cos.f64 re)
2.0ms	re
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	im
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
44.3%	1	`im`
44.3%	1	`re`
44.3%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
44.3%	1	`(cos.f64 re)`
44.3%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 19 to 22 computations (-15.8% saved)

regimes9.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

6 calls:

2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	re
2.0ms	im
1.0ms	(cos.f64 re)
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
44.2%	2	`im`
29.5%	2	`re`
44.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
44.2%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
29.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
29.1%	2	`(cos.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes14.0ms (0.2%)

Memory

-33.6MiB live, 12.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	(cos.f64 re)
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
27.5%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
27.5%	1	`(cos.f64 re)`
27.5%	1	`re`
27.5%	1	`im`
27.5%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
27.5%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999953899372	1.0
0.0ms	-inf	-0.9999816916703126

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999953899372	1.0
0.0ms	-inf	-0.9999816916703126

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9220839302813861	0.9223555443624739
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9938891480863592	0.9941819342742798
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.011288107647282735	0.002174233919321751

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0181501077803925	19.207120968489914

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify28.0ms (0.4%)

Memory

7.7MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	795
1	128	795
2	130	795
3	131	795

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 im im)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599606608619/4503599627370496 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 im im)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599606608619/4503599627370496 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 8306439152722143/9007199254740992 binary64)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 4476578029606273/4503599627370496 binary64)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 im im)))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Outputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (cosh.f64 im))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 im im)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599606608619/4503599627370496 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 im im))) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 4503599606608619/4503599627370496 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 im im)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4503599606608619/4503599627370496 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -inf.0 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 im im))) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 4503599606608619/4503599627370496 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (cosh.f64 im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 8306439152722143/9007199254740992 binary64)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 8306439152722143/9007199254740992 binary64)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (cos re) #s(literal 1 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 4476578029606273/4503599627370496 binary64)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 4476578029606273/4503599627370496 binary64)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 #s(approx (+ (* 1/48 (* re re)) -1/4) (.f64 #s(literal 1/48 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 im im)))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 im im))) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 #s(literal -1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

soundness1.5s (23.4%)

Memory

9.5MiB live, 843.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	100
0	44	85
1	128	73
2	710	73
3	7146	73
0	8261	73
0	166	665
1	487	610
2	1365	596
3	3952	565
0	8284	512
0	245	1148
1	770	993
2	2449	876
3	6233	847
0	8303	774
0	10	28
0	17	28
1	47	24
2	285	22
3	2485	22
0	9034	22
0	163	678
1	473	623
2	1307	609
3	3751	578
0	8474	529
0	119	387
1	346	355
2	1078	345
3	3262	328
4	7338	328
5	7943	328
0	8010	288

Stop Event

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

Compiler

Compiled 1 626 to 803 computations (50.6% saved)

preprocess80.0ms (1.2%)

Memory

12.5MiB live, 171.5MiB allocated

Remove

(abs re)

(abs im)

Compiler

Compiled 1 652 to 272 computations (83.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	33
0	17	33
1	34	33
2	73	33
3	107	33
4	129	33
5	156	33
6	178	33
7	181	33
8	183	33
9	188	33
10	188	33
0	188	33

Iter	Nodes	Cost
0	32	269
0	52	269
1	91	269
2	137	269
3	254	269
4	455	269
5	576	269
6	626	269
7	673	269
8	763	269
9	766	269
10	771	269
11	771	269
0	771	269

Iter	Nodes	Cost
0	40	342
0	61	342
1	101	342
2	139	342
3	206	342
4	271	342
5	293	342
6	334	342
7	378	342
8	461	342
9	464	342
10	469	342
11	469	342
0	469	337

Iter	Nodes	Cost
0	10	33
0	17	33
1	34	33
2	73	33
3	107	33
4	129	33
5	156	33
6	178	33
7	181	33
8	183	33
9	188	33
10	188	33
0	188	33

Iter	Nodes	Cost
0	32	269
0	52	269
1	91	269
2	137	269
3	254	269
4	455	269
5	576	269
6	626	269
7	673	269
8	763	269
9	766	269
10	771	269
11	771	269
0	771	269

Iter	Nodes	Cost
0	40	342
0	61	342
1	101	342
2	139	342
3	206	342
4	271	342
5	293	342
6	334	342
7	378	342
8	461	342
9	464	342
10	469	342
11	469	342
0	469	337

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (18.7%)

explain115.0ms (1.8%)

preprocess62.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize36.0ms (0.5%)

series11.0ms (0.2%)

simplify242.0ms (3.7%)

rewrite153.0ms (2.3%)

eval30.0ms (0.5%)

prune6.0ms (0.1%)

simplify85.0ms (1.3%)

localize147.0ms (2.3%)

series31.0ms (0.5%)

simplify176.0ms (2.7%)

rewrite229.0ms (3.5%)

eval131.0ms (2%)

prune45.0ms (0.7%)

simplify22.0ms (0.3%)

localize112.0ms (1.7%)

series16.0ms (0.2%)

simplify275.0ms (4.2%)

rewrite194.0ms (3%)

eval91.0ms (1.4%)

prune73.0ms (1.1%)

simplify75.0ms (1.2%)

localize136.0ms (2.1%)

series12.0ms (0.2%)

simplify335.0ms (5.2%)

rewrite195.0ms (3%)

eval142.0ms (2.2%)

prune21.0ms (0.3%)

regimes54.0ms (0.8%)

regimes46.0ms (0.7%)

regimes7.0ms (0.1%)

regimes95.0ms (1.5%)

regimes17.0ms (0.3%)

regimes65.0ms (1%)

regimes12.0ms (0.2%)

regimes24.0ms (0.4%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes38.0ms (0.6%)

regimes7.0ms (0.1%)

regimes38.0ms (0.6%)

regimes9.0ms (0.1%)

regimes14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.4%)

soundness1.5s (23.4%)

preprocess80.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	33
0	17	33
1	34	33
2	73	33
3	107	33
4	129	33
5	156	33
6	178	33
7	181	33
8	183	33
9	188	33
10	188	33
0	188	33

Iter	Nodes	Cost
0	32	269
0	52	269
1	91	269
2	137	269
3	254	269
4	455	269
5	576	269
6	626	269
7	673	269
8	763	269
9	766	269
10	771	269
11	771	269
0	771	269

Iter	Nodes	Cost
0	40	342
0	61	342
1	101	342
2	139	342
3	206	342
4	271	342
5	293	342
6	334	342
7	378	342
8	461	342
9	464	342
10	469	342
11	469	342
0	469	337