Metrics for math.cos on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.3s (16%)

Memory

-100.6MiB live, 1 574.2MiB allocated

Samples

991.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 521.0ms

ival-cos: 205.0ms (39.3% of total)

ival-exp: 119.0ms (22.8% of total)

ival-mult: 106.0ms (20.3% of total)

ival-add: 41.0ms (7.9% of total)

ival-neg: 36.0ms (6.9% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain118.0ms (1.5%)

Memory

4.8MiB live, 161.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

52.0ms

512×

valid

Compiler

Compiled 114 to 44 computations (61.4% saved)

Precisions

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

ival-cos: 11.0ms (35.6% of total)

ival-mult: 8.0ms (25.9% of total)

ival-exp: 7.0ms (22.7% of total)

ival-add: 2.0ms (6.5% of total)

ival-neg: 2.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess57.0ms (0.7%)

Memory

-13.3MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	57
1	91	55
2	258	55
3	599	55
4	1063	55
5	1347	55
6	1950	55
7	2121	55
8	2183	55
9	2188	55
10	2188	55
11	2188	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

0.5MiB live, 0.5MiB 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

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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)

localize34.0ms (0.4%)

Memory

-0.2MiB live, 37.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 im))
accuracy	0.0	(exp.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Samples

24.0ms

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: 5.0ms (32.5% of total)

ival-exp: 4.0ms (26% of total)

ival-mult: 3.0ms (19.5% of total)

ival-add: 1.0ms (6.5% of total)

ival-neg: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

6 → 34

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))
(cos.f64 re)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 im)
(exp.f64 (neg.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 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(cos re)
(+ (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 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ (exp im) (exp (neg im)))
(exp im)
(exp (neg im))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(exp (* -1 im))

Calls

6 calls:

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

simplify186.0ms (2.4%)

Memory

13.8MiB live, 163.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	387
1	346	355
2	1077	345
3	3316	328
4	7395	328
5	8000	328
0	8001	288

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

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 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(cos re)
(+ (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 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ (exp im) (exp (neg im)))
(exp im)
(exp (neg im))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 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 (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))
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 (* (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)
(+ (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))))
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 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))
(+ 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))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(exp (neg 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)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite165.0ms (2.1%)

Memory

2.2MiB live, 200.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	17	28
1	47	24
2	285	22
3	2502	22
0	8182	22

Stop Event

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

Counts

6 → 234

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))
(cos.f64 re)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 im)
(exp.f64 (neg.f64 im))

Outputs
(.f64 (/.f64 (.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 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)))
(.f64 (/.f64 (.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 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) im))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 3 binary64) im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -6 binary64)))) (fma.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (pow.f64 (exp.f64 im) #s(literal -4 binary64))))
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(/.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (*.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 im))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 9 binary64)) (pow.f64 (exp.f64 im) #s(literal -9 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)) (+.f64 (expm1.f64 (*.f64 im #s(literal 6 binary64))) (pow.f64 (exp.f64 im) #s(literal -6 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 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (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 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (.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 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(neg.f64 (/.f64 (neg.f64 (.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))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(neg.f64 (/.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)))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 im))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (exp.f64 im))
(fma.f64 (/.f64 (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)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (exp.f64 im))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) (exp.f64 im))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)) #s(literal 1 binary64)) (exp.f64 im))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)) (exp.f64 im))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (exp.f64 (neg.f64 im)))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (exp.f64 im) (exp.f64 im))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im))
(fma.f64 (exp.f64 im) #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (exp.f64 (neg.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (exp.f64 im))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.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 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 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(exp.f64 (fma.f64 #s(literal -2 binary64) im (*.f64 #s(literal 3 binary64) im)))
(exp.f64 (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 2 binary64) im)))
(exp.f64 (*.f64 im #s(literal 1 binary64)))
(exp.f64 im)
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(*.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (exp.f64 im))
(*.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 (*.f64 im im))) (pow.f64 im #s(literal -1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 im #s(literal -2 binary64)))
(pow.f64 (*.f64 (pow.f64 (exp.f64 im) #s(literal -3/2 binary64)) (exp.f64 im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 im))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 im #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 im #s(literal 2 binary64)) (/.f64 im #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 im #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) 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 (exp.f64 (/.f64 #s(literal 0 binary64) im)) (exp.f64 (/.f64 (*.f64 im im) im)))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im))) (exp.f64 (pow.f64 im #s(literal 1 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(exp.f64 (fma.f64 #s(literal -3 binary64) im (*.f64 #s(literal 2 binary64) im)))
(exp.f64 (fma.f64 #s(literal -2 binary64) im im))
(exp.f64 (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(exp.f64 (neg.f64 im))

eval44.0ms (0.6%)

Memory: -23.2MiB live, 60.7MiB allocated
Compiler: Compiled 6 054 to 924 computations (84.7% saved)

prune6.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	260	5	265
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	261	5	266

Accuracy

100.0%

Counts

266 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(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)))
▶	54.6%	(/.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))
▶	76.4%	(.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))))
▶	55.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Compiler

Compiled 134 to 112 computations (16.4% saved)

simplify80.0ms (1%)

Memory

4.1MiB live, 81.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	0	(/.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	4	(.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	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	2	(*.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)))
cost-diff	0	(exp.f64 (neg.f64 im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
cost-diff	10	(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)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	187
0	57	193
1	114	181
2	284	165
3	798	165
4	2444	165
5	6487	165
0	8206	165

Stop Event

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

Calls

Call 1

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

localize338.0ms (4.3%)

Memory

3.3MiB live, 274.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 re)
accuracy	0.0078125	(sinh.f64 (*.f64 #s(literal 2 binary64) im))
accuracy	0.07421875	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))))
accuracy	0.8789062500000001	(/.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	0.0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0.0	(cosh.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy	0.0	(cos.f64 re)
accuracy	0.0078125	(.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	1.3555579565288722	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy	0.0	(cos.f64 re)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
accuracy	1.4787115580046224	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	0.0	(exp.f64 (neg.f64 im))
accuracy	0.0	(exp.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.01171875	(.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))

Samples

236.0ms	112×	5	exit
32.0ms	144×	0	valid

Compiler

Compiled 364 to 64 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-cos: 50.0ms (36.3% of total)

ival-mult: 38.0ms (27.6% of total)

adjust: 25.0ms (18.1% of total)

ival-add: 8.0ms (5.8% of total)

ival-exp: 7.0ms (5.1% of total)

ival-div: 4.0ms (2.9% of total)

ival-cosh: 3.0ms (2.2% of total)

ival-sinh: 2.0ms (1.5% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.6%)

Memory

-30.2MiB live, 60.9MiB allocated

Counts

17 → 80

Calls

Call 1

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

Outputs
(+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (* -1/4 (exp (neg im)))))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (exp (neg im))))))))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (exp (neg im))) (* (pow re 2) (+ (* -1/1440 (exp im)) (* -1/1440 (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) (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 (+ (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)))))
(+ (* -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 (/ (- (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 im))
(+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))
(+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* 1/48 (* (pow re 2) (exp im))))))
(+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (exp im))) (* 1/48 (exp im)))))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg im)))))
(* 1/2 (cos re))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (exp im)))
(+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))
(+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))
(+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* 1/2 (cos re)) (* im (+ (* -1/12 (cos re)) (* 1/12 (cos re))))))))))
(+ 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)))))))
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)))))))
(* 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))))))))
(+ (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))))))))))))
(+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))
(+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))
(+ (* 1/2 (cos re)) (* im (+ (* 1/2 (cos re)) (* im (+ (* 1/12 (* im (cos re))) (* 1/4 (cos re)))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* 2 im)
(* im (+ 2 (* 4/3 (pow im 2))))
(* im (+ 2 (* (pow im 2) (+ 4/3 (* 4/15 (pow im 2))))))
(* im (+ 2 (* (pow im 2) (+ 4/3 (* (pow im 2) (+ 4/15 (* 8/315 (pow im 2))))))))
(exp (neg im))
(+ (exp im) (exp (neg im)))
(exp im)
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (* -1 im)))))
(exp (* -1 im))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	im	@	-inf	((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (* (cos re) 1/2) (cos re) (exp (neg im)) (* (* 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))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (exp im) 1/2) (cos re)) (exp im) (sinh (* 2 im)))
13.0ms	re	@	inf	((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (* (cos re) 1/2) (cos re) (exp (neg im)) (* (* 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))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (exp im) 1/2) (cos re)) (exp im) (sinh (* 2 im)))
6.0ms	im	@	0	((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (* (cos re) 1/2) (cos re) (exp (neg im)) (* (* 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))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (exp im) 1/2) (cos re)) (exp im) (sinh (* 2 im)))
5.0ms	im	@	inf	((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (* (cos re) 1/2) (cos re) (exp (neg im)) (* (* 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))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (exp im) 1/2) (cos re)) (exp im) (sinh (* 2 im)))
4.0ms	re	@	0	((+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (* (cos re) 1/2) (cos re) (exp (neg im)) (* (* 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))) (+ (exp (neg im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (cosh im) (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (/ (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (* 2 (sinh im))) (* (* (exp im) 1/2) (cos re)) (exp im) (sinh (* 2 im)))

simplify251.0ms (3.2%)

Memory

28.7MiB live, 216.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	1506
1	1083	1299
2	3366	1169
3	7854	1169
0	8142	1066

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 80

Calls

Call 1

Inputs
(+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (* -1/4 (exp (neg im)))))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (exp (neg im))))))))))
(+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (exp (neg im))) (* (pow re 2) (+ (* -1/1440 (exp im)) (* -1/1440 (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) (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 (+ (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)))))
(+ (* -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 (/ (- (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 im))
(+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))
(+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* 1/48 (* (pow re 2) (exp im))))))
(+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (exp im))) (* 1/48 (exp im)))))))
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg im)))))
(* 1/2 (cos re))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))))
(* 1/2 (/ (* (cos re) (- (exp (* 2 im)) (/ 1 (exp (* 2 im))))) (- (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (exp im)))
(+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))
(+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))
(+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* 1/2 (cos re)) (* im (+ (* -1/12 (cos re)) (* 1/12 (cos re))))))))))
(+ 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)))))))
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)))))))
(* 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))))))))
(+ (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))))))))))))
(+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))
(+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))
(+ (* 1/2 (cos re)) (* im (+ (* 1/2 (cos re)) (* im (+ (* 1/12 (* im (cos re))) (* 1/4 (cos re)))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* 2 im)
(* im (+ 2 (* 4/3 (pow im 2))))
(* im (+ 2 (* (pow im 2) (+ 4/3 (* 4/15 (pow im 2))))))
(* im (+ 2 (* (pow im 2) (+ 4/3 (* (pow im 2) (+ 4/15 (* 8/315 (pow im 2))))))))
(exp (neg im))
(+ (exp im) (exp (neg im)))
(exp im)
(+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (* -1 im)))))
(exp (* -1 im))
(* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

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

rewrite305.0ms (3.9%)

Memory

-2.8MiB live, 227.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	129
0	57	134
1	162	104
2	939	92
0	8586	92

Stop Event

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

Counts

17 → 1 176

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (sinh.f64 im)) (.f64 (sinh.f64 im) #s(literal 2 binary64))) (cosh.f64 im))
(.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (sinh.f64 im)) (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (sinh.f64 im)) #s(literal 1 binary64)) (sinh.f64 (.f64 #s(literal 2 binary64) im)))
(.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 (sinh.f64 im) (cosh.f64 im)))
(.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (sinh.f64 im)) #s(literal 1/2 binary64)) (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 (cos.f64 re) (sinh.f64 im)) (sinh.f64 im)) (cosh.f64 im))
(.f64 (.f64 (/.f64 (cos.f64 re) (sinh.f64 im)) (cosh.f64 im)) (sinh.f64 im))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) (.f64 #s(literal 2 binary64) (cos.f64 re))) (.f64 (sinh.f64 im) (cosh.f64 im)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) (.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) (cos.f64 re))) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) (cos.f64 re)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (*.f64 #s(literal 2 binary64) im))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)) (cos.f64 re)) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 re) #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (sinh.f64 im))) (sinh.f64 (.f64 #s(literal 2 binary64) im)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 re) (sinh.f64 im))) (*.f64 (sinh.f64 im) (cosh.f64 im)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))))) (pow.f64 (fma.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (cos.f64 re) (sinh.f64 im)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 re)) (sinh.f64 (.f64 #s(literal 2 binary64) im)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (sinh.f64 im) (cosh.f64 im)))
(.f64 (.f64 (*.f64 #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 2 binary64)))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (pow.f64 (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (.f64 (sinh.f64 im) (cosh.f64 im))) (/.f64 #s(literal 2 binary64) (sinh.f64 im)))
(.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/4 binary64)) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (/.f64 #s(literal 2 binary64) (sinh.f64 im)))
(.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (pow.f64 (pow.f64 (.f64 (cosh.f64 im) (cos.f64 re)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (cosh.f64 im) (cos.f64 re)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (cos.f64 re) #s(literal 1/4 binary64)) (.f64 (sinh.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (cosh.f64 im) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (/.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (/.f64 (.f64 (cosh.f64 im) (cos.f64 re)) (cos.f64 re)) (/.f64 (.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) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 (/.f64 (neg.f64 (cos.f64 re)) #s(literal -1 binary64)) (cosh.f64 im))
(.f64 (/.f64 (neg.f64 (cos.f64 re)) (sinh.f64 im)) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal -2 binary64)))
(.f64 (/.f64 (neg.f64 (cos.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 im)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) (sinh.f64 im))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (sinh.f64 (.f64 #s(literal 2 binary64) im))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (sinh.f64 im)) (neg.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (neg.f64 (sinh.f64 im))))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (sinh.f64 im)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 im)) (/.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (sinh.f64 im)))
(.f64 (/.f64 (.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (sinh.f64 im)))
(.f64 (/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 (sinh.f64 im) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (sinh.f64 im)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (sinh.f64 im))) (neg.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 im)))
(.f64 (/.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (neg.f64 (sinh.f64 im))) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (sinh.f64 im)) #s(literal 1/4 binary64))
(.f64 (/.f64 (cos.f64 re) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 im)))
(.f64 (/.f64 (cos.f64 re) (neg.f64 (sinh.f64 im))) (/.f64 (neg.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)))
(.f64 (/.f64 (cos.f64 re) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 re) (.f64 (sinh.f64 im) #s(literal 2 binary64))) (/.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) (cos.f64 re)) (neg.f64 (sinh.f64 im))))
(.f64 (pow.f64 (/.f64 (sinh.f64 im) (cos.f64 re)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (sinh.f64 im) (/.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal -1 binary64)) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (sinh.f64 im)))
(.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) (sinh.f64 im))) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) (sinh.f64 im))) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cosh.f64 im)) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 im))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 im))))
(.f64 (neg.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (sinh.f64 im)))
(.f64 (neg.f64 (sinh.f64 (.f64 #s(literal 2 binary64) im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (sinh.f64 im))))
(.f64 (neg.f64 (cos.f64 re)) (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) im)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)))))
(.f64 (.f64 (.f64 (cosh.f64 im) (cos.f64 re)) (.f64 (cos.f64 re) (sinh.f64 im))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (sinh.f64 im))))
(.f64 (pow.f64 (sinh.f64 im) #s(literal -1 binary64)) (.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (cos.f64 re)))
(.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 (.f64 (sinh.f64 im) (cosh.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 im)) (/.f64 (.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (cos.f64 re)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (sinh.f64 im)) (sinh.f64 (*.f64 #s(literal 2 binary64) im)))
(.f64 (/.f64 (cos.f64 re) (sinh.f64 im)) (.f64 (sinh.f64 im) (cosh.f64 im)))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 im)))))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (cosh.f64 im)))
(.f64 (.f64 (.f64 (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 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 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) (neg.f64 (fma.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (cos.f64 re) (sinh.f64 im)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (sinh.f64 (.f64 #s(literal 2 binary64) im))) (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 im))))
(.f64 (.f64 (*.f64 (sinh.f64 im) (cosh.f64 im)) (cos.f64 re)) (pow.f64 (sinh.f64 im) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64)))
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(fma.f64 (sinh.f64 im) (exp.f64 im) (*.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 (sinh.f64 im) (exp.f64 (neg.f64 im)) (*.f64 (sinh.f64 im) (exp.f64 im)))
(fma.f64 (exp.f64 im) (sinh.f64 im) (*.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im) (*.f64 (exp.f64 im) (sinh.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (exp.f64 im) (sinh.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im)))
(+.f64 (.f64 (exp.f64 (neg.f64 im)) (sinh.f64 im)) (.f64 (exp.f64 im) (sinh.f64 im)))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(+.f64 (.f64 (sinh.f64 im) (exp.f64 im)) (.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sinh.f64 im) (exp.f64 im)))
(+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64))))

eval177.0ms (2.2%)

Memory: -3.9MiB live, 114.6MiB allocated
Compiler: Compiled 15 071 to 1 995 computations (86.8% saved)

prune20.0ms (0.3%)

Memory

30.7MiB live, 30.7MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	690	14	704
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	694	15	709

Accuracy

100.0%

Counts

709 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(/.f64 #s(approx (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 4/3 binary64) (.f64 im im) #s(literal 2 binary64))) im)) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
▶	66.9%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
✓	76.4%	(.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))))
	52.7%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (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)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	40.8%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (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)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	52.1%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	39.7%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	51.7%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	37.2%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	50.3%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	34.0%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
	92.1%	(.f64 #s(approx ( 1 (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))) (cos.f64 re))
	86.1%	(.f64 #s(approx ( 1 (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))) (cos.f64 re))
	55.3%	#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (cos.f64 re))

Compiler

Compiled 608 to 461 computations (24.2% saved)

simplify47.0ms (0.6%)

Memory

-25.4MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos re) #s(literal 1 binary64))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
cost-diff	2	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
cost-diff	0	(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))
cost-diff	0	#s(approx (cos re) (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)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (cos re) (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))))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (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)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #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	#s(approx (cos re) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
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	35	262
0	58	258
1	102	258
2	176	258
3	324	258
4	623	258
5	847	258
6	999	258
7	1041	258
8	1104	258
9	1107	258
10	1113	258
11	1118	258
12	1118	258
0	1118	258

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

localize198.0ms (2.5%)

Memory

-55.6MiB live, 194.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0.0	(cosh.f64 im)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (cos re) #s(literal 1 binary64)))
accuracy	26.721954656783947	#s(approx (cos re) #s(literal 1 binary64))
accuracy	0.05859375	(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))
accuracy	0.0625	(fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))
accuracy	28.603094871018254	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	29.419320961757123	#s(approx (cos re) (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)))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy	15.072931227073799	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	29.2907736498098	#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
accuracy	26.721954656783947	#s(approx (cos re) #s(literal 1 binary64))
accuracy	28.603094871018254	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	0.0	(cosh.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.0078125	(*.f64 (cosh.f64 im) (cos.f64 re))

Samples

131.0ms

256×

valid

Compiler

Compiled 434 to 67 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 62.0ms (55.7% of total)

ival-add: 28.0ms (25.2% of total)

const: 7.0ms (6.3% of total)

ival-cos: 6.0ms (5.4% of total)

ival-exp: 3.0ms (2.7% of total)

ival-cosh: 3.0ms (2.7% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

20 → 49

Calls

Call 1

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

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)))
1/24
(+ 1/24 (* -1/720 (pow re 2)))
-1/2
(- (* 1/24 (pow re 2)) 1/2)
(- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(cos re)
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(* -1/2 (pow re 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(* -1/720 (pow re 6))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* -1/720 (pow re 2))
(* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* -1/720 (pow re 4))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(+ (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
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)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (+ (exp (neg im)) (exp im)) (+ (* -1/720 (* re re)) 1/24) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2))
2.0ms	re	@	-inf	((* (cosh im) (cos re)) (cosh im) (cos re) (* (* 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))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (+ (exp (neg im)) (exp im)) (+ (* -1/720 (* re re)) 1/24) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2))
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)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (+ (exp (neg im)) (exp im)) (+ (* -1/720 (* re re)) 1/24) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2))
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)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (+ (exp (neg im)) (exp im)) (+ (* -1/720 (* re re)) 1/24) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2))
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)) (cos re) (+ (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (* 1 (cosh im)) (* (* 1 (cosh im)) (cos re)) (+ (exp (neg im)) (exp im)) (+ (* -1/720 (* re re)) 1/24) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2))

simplify287.0ms (3.7%)

Memory

-1.4MiB live, 187.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	630
1	440	575
2	1229	561
3	3506	526
4	7985	526
0	8344	475

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

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

rewrite193.0ms (2.5%)

Memory

23.2MiB live, 222.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	218
0	58	214
1	181	204
2	1048	204
0	8326	204

Stop Event

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

Counts

20 → 355

Calls

Call 1

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

Outputs
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) (cosh.f64 im)))
(*.f64 (cos.f64 re) (cosh.f64 im))
(.f64 (.f64 (cos.f64 re) (cosh.f64 im)) #s(literal 1 binary64))
(*.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 (.f64 (cos.f64 re) #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 (.f64 (cos.f64 re) #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 (.f64 (cos.f64 re) #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 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.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 (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 (*.f64 #s(literal 2 binary64) (cosh.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)))
(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)))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(cos.f64 re)
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (cos re) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (cos re) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) #s(approx (cos re) #s(literal 1 binary64))))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #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) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/2 binary64)))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64))))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.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 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re) (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 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) #s(literal -1/2 binary64)) re))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re) (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 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) #s(literal -1/2 binary64)) re)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re) (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)))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (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))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64))) (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))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) #s(literal -1/2 binary64)) re))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (neg.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)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) #s(literal -1/2 binary64)) re)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/576 binary64)) re) re) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824 binary64)) re) re) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 re re)))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 re re) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/576 binary64))) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 re re) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal -1/17280 binary64) (.f64 re re)))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/720 binary64)) re (fma.f64 (.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/720 binary64)) re (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 #s(literal -1/720 binary64) re) (fma.f64 (.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 #s(literal -1/720 binary64) re) (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re #s(literal -1/2 binary64))
(fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.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)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (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)))))
(fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 re re)) (.f64 re re) (fma.f64 (.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 re re)) (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(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))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal -1/2 binary64)))
(fma.f64 (.f64 re re) (.f64 #s(literal -1/720 binary64) (.f64 re re)) (fma.f64 (.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))
(fma.f64 (.f64 re re) (.f64 #s(literal -1/720 binary64) (.f64 re re)) (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (.f64 re re) (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/24 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal -1/2 binary64)))
(fma.f64 re (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re))) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (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 #s(literal 1/4 binary64) (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 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 re re))) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (*.f64 re re)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64))) (.f64 (*.f64 re re) #s(literal 1/24 binary64)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) #s(literal 1/24 binary64))) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal -1/2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64)) (fma.f64 (.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64)))
(+.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64)) (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (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 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re))

eval79.0ms (1%)

Memory: -20.6MiB live, 105.3MiB allocated
Compiler: Compiled 14 504 to 1 926 computations (86.7% saved)

prune18.0ms (0.2%)

Memory

4.7MiB live, 43.3MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	399	8	407
Fresh	2	7	9
Picked	4	1	5
Done	0	1	1
Total	405	17	422

Accuracy

100.0%

Counts

422 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(/.f64 #s(approx (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 4/3 binary64) (.f64 im im) #s(literal 2 binary64))) im)) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
	60.7%	(.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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)))
	57.0%	(.f64 (.f64 #s(literal 1 binary64) #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)))
✓	76.4%	(.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))))
▶	52.7%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (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)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	52.1%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	11.8%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	50.3%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
	66.9%	(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
▶	92.1%	(.f64 #s(approx ( 1 (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))) (cos.f64 re))
	86.1%	(.f64 #s(approx ( 1 (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))) (cos.f64 re))
▶	40.8%	(.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)))
	39.7%	(.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)) #s(literal 2 binary64)))
	37.2%	(.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(literal 2 binary64)))
▶	34.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	55.3%	#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (cos.f64 re))

Compiler

Compiled 707 to 524 computations (25.9% saved)

simplify40.0ms (0.5%)

Memory

23.6MiB live, 61.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	458
0	83	454
1	147	454
2	244	454
3	565	454
4	1260	454
5	1812	454
6	1955	454
7	2129	454
8	2137	454
0	2137	450

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize292.0ms (3.7%)

Memory

2.4MiB live, 160.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(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))
accuracy	0.0625	(fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))
accuracy	15.072931227073799	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	29.419320961757123	#s(approx (cos re) (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)))
accuracy	0.05859375	(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	0.0625	(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
accuracy	28.603094871018254	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	29.419436192471494	#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	0.0078125	(.f64 #s(literal -1/2 binary64) (.f64 re re))
accuracy	15.072931227073799	#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	29.2907736498098	#s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))
accuracy	33.11778045008971	#s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re)))
accuracy	0.0078125	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
accuracy	26.721645834910888	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	28.603094871018254	#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
accuracy	0.02734375	(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))
accuracy	0.0546875	(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))
accuracy	0.1015625	(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy	5.072088518490473	#s(approx (* 1 (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)))

Samples

258.0ms

256×

valid

Compiler

Compiled 739 to 102 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

const: 138.0ms (68.8% of total)

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

ival-cosh: 15.0ms (7.5% of total)

ival-add: 13.0ms (6.5% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

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

series42.0ms (0.5%)

Memory

-8.0MiB live, 36.2MiB allocated

Counts

25 → 75

Calls

Call 1

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

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)))))))))
(* 1/2 (+ (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)))
-1/4
(- (* 1/48 (pow re 2)) 1/4)
(- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)
(* -1/2 (pow re 2))
1/48
(+ 1/48 (* -1/1440 (pow re 2)))
1/24
(+ 1/24 (* -1/720 (pow re 2)))
-1/2
(- (* 1/24 (pow re 2)) 1/2)
(- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)
(* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))
(* 1/2 (cos re))
(cos re)
(* (pow re 2) (- (/ 1 (pow re 2)) 1/2))
(* -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)))))
(* -1/720 (pow re 6))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 6) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/24 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/720 (/ 1/2 (pow re 4)))))
(* -1/1440 (pow re 2))
(* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))
(* -1/720 (pow re 2))
(* (pow re 2) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* -1/720 (pow re 4))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) 1/720))
(* (pow re 4) (- (* 1/24 (/ 1 (pow re 2))) (+ 1/720 (/ 1/2 (pow re 4)))))
(+ (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)))))))
(+ 1/2 (* 1/24 (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)))))))
(+ 1/24 (* 1/720 (pow im 2)))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(+ (exp im) (exp (neg im)))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 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
25.0ms	re	@	inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 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)) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 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) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* 1/720 (* im im)) 1/24) (+ (exp (neg im)) (exp im)) (* -1/2 (* re re)) (+ (* -1/1440 (* re re)) 1/48) (+ (* -1/720 (* re re)) 1/24) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2))
7.0ms	im	@	-inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 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)) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 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) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* 1/720 (* im im)) 1/24) (+ (exp (neg im)) (exp im)) (* -1/2 (* re re)) (+ (* -1/1440 (* re re)) 1/48) (+ (* -1/720 (* re re)) 1/24) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2))
3.0ms	re	@	-inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 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)) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 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) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* 1/720 (* im im)) 1/24) (+ (exp (neg im)) (exp im)) (* -1/2 (* re re)) (+ (* -1/1440 (* re re)) 1/48) (+ (* -1/720 (* re re)) 1/24) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2))
2.0ms	im	@	inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 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)) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 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) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* 1/720 (* im im)) 1/24) (+ (exp (neg im)) (exp im)) (* -1/2 (* re re)) (+ (* -1/1440 (* re re)) 1/48) (+ (* -1/720 (* re re)) 1/24) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2))
1.0ms	re	@	0	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* 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)) (cos re) (+ (* -1/2 (* re re)) 1) (* (* 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) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* 1/720 (* im im)) 1/24) (+ (exp (neg im)) (exp im)) (* -1/2 (* re re)) (+ (* -1/1440 (* re re)) 1/48) (+ (* -1/720 (* re re)) 1/24) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2))

simplify209.0ms (2.7%)

Memory

6.1MiB live, 162.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	880
1	553	825
2	1514	811
3	4320	776
4	6211	772
0	8466	699

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 75

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

rewrite180.0ms (2.3%)

Memory

-17.7MiB live, 209.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	390
0	83	386
1	297	374
2	1947	374
0	8535	370

Stop Event

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

Counts

25 → 369

Calls

Call 1

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

Outputs
(.f64 (cos.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (cos.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) (.f64 #s(literal -1/2 binary64) re)))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (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))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/576 binary64)) (.f64 re re)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (.f64 re re)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) #s(literal -1/17280 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 re re) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/576 binary64))) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 re re) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) #s(literal -1/17280 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re #s(literal -1/2 binary64))
(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))
(fma.f64 (.f64 re re) (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 re (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re))) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) re) re))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (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 #s(literal 1/4 binary64) (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 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) re) re))

eval201.0ms (2.6%)

Memory: 24.8MiB live, 146.7MiB allocated
Compiler: Compiled 19 527 to 2 295 computations (88.2% saved)

prune87.0ms (1.1%)

Memory

-23.5MiB live, 52.0MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	432	5	437
Fresh	3	7	10
Picked	2	3	5
Done	0	2	2
Total	437	17	454

Accuracy

100.0%

Counts

454 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(/.f64 #s(approx (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 4/3 binary64) (.f64 im im) #s(literal 2 binary64))) im)) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
	60.7%	(.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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)))
	57.0%	(.f64 (.f64 #s(literal 1 binary64) #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)))
✓	76.4%	(.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))))
	52.1%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	11.8%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
	66.9%	(*.f64 (cosh.f64 im) #s(approx (cos re) #s(literal 1 binary64)))
✓	92.1%	(.f64 #s(approx ( 1 (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))) (cos.f64 re))
	86.1%	(.f64 #s(approx ( 1 (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))) (cos.f64 re))
	52.7%	(.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)) (fma.f64 im im #s(literal 2 binary64))))
	40.8%	(.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)))
	39.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #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)))
	37.2%	(.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(literal 2 binary64)))
	50.3%	(.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))))
✓	34.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	55.3%	#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (cos.f64 re))

Compiler

Compiled 1 092 to 448 computations (59% saved)

regimes73.0ms (0.9%)

Memory

16.5MiB live, 101.2MiB allocated

Counts

33 → 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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(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)) (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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #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)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) #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 (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 (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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (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)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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)) (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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (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)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (cos.f64 re))
(*.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 (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))) (cos.f64 re))
(.f64 #s(approx ( 1 (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))) (cos.f64 re))
(*.f64 (cosh.f64 im) (cos.f64 re))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(/.f64 #s(approx (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 4/3 binary64) (.f64 im im) #s(literal 2 binary64))) im)) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.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)))
(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)))

Outputs
(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)))

Calls

6 calls:

17.0ms	re
16.0ms	im
11.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
9.0ms	(cos.f64 re)
9.0ms	(.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)

regimes66.0ms (0.8%)

Memory

16.6MiB live, 54.9MiB allocated

Counts

32 → 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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(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)) (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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #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)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) #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 (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 (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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (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)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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)) (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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (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)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (cos.f64 re))
(*.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 (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))) (cos.f64 re))
(.f64 #s(approx ( 1 (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))) (cos.f64 re))
(*.f64 (cosh.f64 im) (cos.f64 re))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
(/.f64 #s(approx (* (* (cos re) 1/2) (* 2 (sinh (* 2 im)))) (.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 4/3 binary64) (.f64 im im) #s(literal 2 binary64))) im)) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.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)))

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

Calls

6 calls:

21.0ms	(cos.f64 re)
10.0ms	re
9.0ms	im
9.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(.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)

regimes80.0ms (1%)

Memory

-3.3MiB live, 75.2MiB allocated

Counts

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

Outputs

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

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

Calls

6 calls:

13.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms	re
8.0ms	im
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
95.8%	2	`re`
98.3%	3	`im`
98.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
95.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
95.8%	2	`(cos.f64 re)`
92.1%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes11.0ms (0.1%)

Memory

-17.3MiB live, 19.1MiB allocated

Counts

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

Outputs

(*.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)) (fma.f64 im im #s(literal 2 binary64))))

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
99.4%	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)

regimes8.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

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

Outputs

(*.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)) (fma.f64 im 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))))

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

Calls

1 calls:

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
99.4%	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)

regimes28.0ms (0.4%)

Memory

-20.1MiB live, 16.4MiB allocated

Counts

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

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

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

Calls

1 calls:

26.0ms

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

Results

Accuracy	Segments	Branch
99.3%	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)

regimes47.0ms (0.6%)

Memory

-6.7MiB live, 32.2MiB allocated

Counts

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

Outputs

(*.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)) (fma.f64 im im #s(literal 2 binary64))))

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

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

6 calls:

7.0ms	re
7.0ms	im
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(cos.f64 re)
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
81.6%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
73.8%	2	`re`
77.6%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
77.6%	3	`(cos.f64 re)`
84.2%	3	`im`
93.0%	3	`(.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)

regimes78.0ms (1%)

Memory

17.8MiB live, 75.5MiB allocated

Counts

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

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

6 calls:

30.0ms	(cos.f64 re)
22.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	re
6.0ms	im
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
64.3%	3	`re`
72.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
72.2%	2	`(cos.f64 re)`
60.7%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
60.7%	1	`im`
72.2%	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)

regimes40.0ms (0.5%)

Memory

-5.0MiB live, 31.5MiB 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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(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)) (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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #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)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) #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 (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 (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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (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)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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)))

Outputs

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

(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #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:

28.0ms	(cos.f64 re)
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
71.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
71.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
71.2%	2	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes51.0ms (0.6%)

Memory

5.4MiB live, 40.2MiB allocated

Counts

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

Outputs

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

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

(*.f64 (*.f64 #s(literal 1 binary64) #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:

39.0ms	(cos.f64 re)
5.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
69.1%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.1%	3	`(cos.f64 re)`
67.5%	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)

regimes17.0ms (0.2%)

Memory

-1.2MiB live, 35.0MiB allocated

Counts

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

(*.f64 (*.f64 #s(literal 1 binary64) #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:

7.0ms	(*.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
67.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
67.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
67.5%	2	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes30.0ms (0.4%)

Memory

3.1MiB live, 51.3MiB 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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(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)) (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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #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)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Outputs

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

Calls

6 calls:

10.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	im
4.0ms	re
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
54.0%	2	`im`
54.0%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
51.7%	1	`re`
60.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
60.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
60.8%	2	`(cos.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes9.0ms (0.1%)

Memory

-20.6MiB live, 18.2MiB 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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(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)) (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 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 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

3 calls:

4.0ms	(*.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
56.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
56.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
56.3%	2	`(cos.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes10.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB 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 (*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

(*.f64 #s(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

6 calls:

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

Results

Accuracy	Segments	Branch
50.3%	1	`re`
50.3%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
50.3%	1	`im`
50.3%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
50.3%	1	`(cos.f64 re)`
50.3%	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)

regimes11.0ms (0.1%)

Memory

-8.7MiB live, 27.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

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

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:

4.0ms	re
1.0ms	(cos.f64 re)
1.0ms	im
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
34.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
34.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
34.0%	1	`(cos.f64 re)`
34.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
34.0%	1	`im`
34.0%	1	`re`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	15.341165906199112	+inf

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999991975	1.0
0.0ms	-inf	-0.999988084423643

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999991975	1.0
0.0ms	-inf	-0.999988084423643

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999991975	1.0
0.0ms	-inf	-0.999988084423643

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999991975	1.0
0.0ms	-inf	-0.999988084423643

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03870665086304327	0.00908367092420419

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03870665086304327	0.00908367092420419

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8427261596757001	0.8496477938569125
0.0ms	-0.02612561663548145	0.00908367092420419

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.02612561663548145	0.00908367092420419

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.02612561663548145	0.00908367092420419

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03870665086304327	0.00908367092420419

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify120.0ms (1.5%)

Memory

-36.7MiB live, 50.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	841
1	146	831
2	185	831
3	235	831
4	267	831
5	332	831
6	447	831
7	3790	831
8	7418	831

Stop Event

1×	node limit

Calls

Call 1

Inputs
(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)))
(*.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 20 binary64)) (.f64 #s(approx ( 1 (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))) (cos.f64 re)) (.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 (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)) (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 2251799813683441/2251799813685248 binary64)) (.f64 #s(approx (* 1 (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))) (cos.f64 re)) (*.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 (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)) (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 2251799813683441/2251799813685248 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 (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)) (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 2251799813683441/2251799813685248 binary64)) #s(approx (+ ( (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (cos.f64 re)) (*.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 (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)) (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 2251799813683441/2251799813685248 binary64)) #s(approx (+ ( (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (cos.f64 re)) (.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 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)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 3805541685128069/4503599627370496 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1 binary64) #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 -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1 binary64) #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 -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re 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 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 -5764607523034235/288230376151711744 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)))))
(.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)) #s(literal 2 binary64)))

Outputs
(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)))
(*.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 20 binary64)) (.f64 #s(approx ( 1 (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))) (cos.f64 re)) (.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 (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)) (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 2251799813683441/2251799813685248 binary64)) (.f64 #s(approx (* 1 (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))) (cos.f64 re)) (*.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 (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)) (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 2251799813683441/2251799813685248 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 (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)) (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 2251799813683441/2251799813685248 binary64)) #s(approx (+ ( (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (cos.f64 re)) (*.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 (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)) (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 2251799813683441/2251799813685248 binary64)) #s(approx (+ ( (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (cos.f64 re)) (.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 #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 (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)) (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 2251799813683441/2251799813685248 binary64)) #s(approx (+ ( (* (cos re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (cos re))) (cos.f64 re)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 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)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 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)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1 binary64) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #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 -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 3805541685128069/4503599627370496 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1 binary64) #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 -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (cos.f64 re) #s(literal 3805541685128069/4503599627370496 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1 (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 -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1 binary64) #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 -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re re))))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1 (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 -5764607523034235/288230376151711744 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 #s(literal -1/2 binary64) (.f64 re 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 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 -5764607523034235/288230376151711744 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)))))
(.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)) #s(literal 2 binary64)))

soundness1.9s (24%)

Memory

-7.1MiB live, 1 194.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	630
1	440	575
2	1229	561
3	3506	526
4	7985	526
0	8344	475
0	347	1506
1	1083	1299
2	3366	1169
3	7854	1169
0	8142	1066
0	188	880
1	553	825
2	1514	811
3	4320	776
4	6211	772
0	8466	699
0	119	387
1	346	355
2	1077	345
3	3316	328
4	7395	328
5	8000	328
0	8001	288
0	33	129
0	57	134
1	162	104
2	939	92
0	8586	92
0	10	28
0	17	28
1	47	24
2	285	22
3	2502	22
0	8182	22

Stop Event

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

Compiler

Compiled 2 134 to 1 105 computations (48.2% saved)

preprocess302.0ms (3.8%)

Memory

25.5MiB live, 103.5MiB allocated

Remove

(abs re)

(abs im)

Compiler

Compiled 1 792 to 294 computations (83.6% 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (16%)

explain118.0ms (1.5%)

preprocess57.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize34.0ms (0.4%)

series7.0ms (0.1%)

simplify186.0ms (2.4%)

rewrite165.0ms (2.1%)

eval44.0ms (0.6%)

prune6.0ms (0.1%)

simplify80.0ms (1%)

localize338.0ms (4.3%)

series49.0ms (0.6%)

simplify251.0ms (3.2%)

rewrite305.0ms (3.9%)

eval177.0ms (2.2%)

prune20.0ms (0.3%)

simplify47.0ms (0.6%)

localize198.0ms (2.5%)

series10.0ms (0.1%)

simplify287.0ms (3.7%)

rewrite193.0ms (2.5%)

eval79.0ms (1%)

prune18.0ms (0.2%)

simplify40.0ms (0.5%)

localize292.0ms (3.7%)

series42.0ms (0.5%)

simplify209.0ms (2.7%)

rewrite180.0ms (2.3%)

eval201.0ms (2.6%)

prune87.0ms (1.1%)

regimes73.0ms (0.9%)

regimes66.0ms (0.8%)

regimes80.0ms (1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes28.0ms (0.4%)

regimes47.0ms (0.6%)

regimes78.0ms (1%)

regimes40.0ms (0.5%)

regimes51.0ms (0.6%)

regimes17.0ms (0.2%)

regimes30.0ms (0.4%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify120.0ms (1.5%)

soundness1.9s (24%)

preprocess302.0ms (3.8%)

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