Metrics for math.sin on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 14 to 13 computations (7.1% saved)

sample1.3s (17.9%)

Memory

16.6MiB live, 1 753.3MiB allocated

Samples

922.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 667.0ms

ival-sin: 281.0ms (42.1% of total)

ival-exp: 133.0ms (19.9% of total)

ival-mult: 124.0ms (18.6% of total)

ival-add: 66.0ms (9.9% of total)

ival-sub: 42.0ms (6.3% of total)

exact: 10.0ms (1.5% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain162.0ms (2.2%)

Memory

0.6MiB live, 164.8MiB allocated

FPErrors

Click to see full error table

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

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

48.0ms

512×

valid

Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sin: 12.0ms (37.7% of total)

ival-exp: 7.0ms (22% of total)

ival-mult: 7.0ms (22% of total)

ival-sub: 2.0ms (6.3% of total)

ival-add: 2.0ms (6.3% of total)

exact: 1.0ms (3.1% of total)

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

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

preprocess118.0ms (1.6%)

Memory

9.8MiB live, 53.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	61
1	94	55
2	360	55
3	927	55
4	2089	55
5	3165	55
6	3519	55
7	3814	55
8	4098	55
9	4178	55
10	4180	55
11	4180	55
12	4212	55
13	4218	55
14	4218	55
0	11	12
0	18	11
1	34	11
2	76	11
3	113	11
4	139	11
5	163	11
6	182	11
7	182	11
8	184	11
9	189	11
10	189	11
0	189	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs im)

(negabs re)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify23.0ms (0.3%)

Memory

-20.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.5%)

Memory

5.2MiB live, 83.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 re)
accuracy	0.0	(exp.f64 (-.f64 #s(literal 0 binary64) im))
accuracy	0.0	(exp.f64 im)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Samples

25.0ms

256×

valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sin: 6.0ms (38.6% of total)

ival-exp: 4.0ms (25.7% of total)

ival-mult: 3.0ms (19.3% of total)

ival-sub: 1.0ms (6.4% of total)

ival-add: 1.0ms (6.4% 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

17.0MiB live, 17.0MiB allocated

Counts

6 → 30

Calls

Call 1

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

Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(sin re)
(* -1 im)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 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))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(exp (* -1 im))

Calls

6 calls:

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

simplify199.0ms (2.7%)

Memory

-2.3MiB live, 203.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	362
1	381	330
2	1177	318
3	3950	301
4	4856	301
5	5410	301
6	6033	301
7	7192	301
0	8039	267

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(sin re)
(* -1 im)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 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))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(exp (* -1 im))

Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(* -1 im)
(neg.f64 im)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(.f64 (sin.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))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 im)
(-.f64 im #s(literal -1 binary64))
(+ 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.f64 im)
(exp (neg im))
(exp.f64 (neg.f64 im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite95.0ms (1.3%)

Memory

-16.2MiB live, 99.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	18	24
1	59	22
2	397	20
0	4424	20

Stop Event

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

Counts

6 → 155

Calls

Call 1

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

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

eval27.0ms (0.4%)

Memory: 6.9MiB live, 50.2MiB allocated
Compiler: Compiled 3 604 to 690 computations (80.9% saved)

prune3.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	179	3	182
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	180	3	183

Accuracy

100.0%

Counts

183 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
▶	76.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

▶

76.2%

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

Compiler

Compiled 44 to 36 computations (18.2% saved)

simplify19.0ms (0.3%)

Memory

-20.9MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 im))
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
cost-diff	10	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(cosh.f64 im)
cost-diff	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
cost-diff	2	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) im)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	106
0	43	91
1	86	91
2	147	85
3	205	85
4	295	85
5	352	85
6	413	85
7	483	85
8	559	85
9	604	85
10	606	85
11	609	85
0	609	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize68.0ms (0.9%)

Memory

2.8MiB live, 122.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 im)
accuracy	0.0	(exp.f64 (neg.f64 im))
accuracy	0.0	(exp.f64 im)
accuracy	0.01171875	(.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))
accuracy	0.0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0.0	(sin.f64 re)
accuracy	0.0	(cosh.f64 im)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) im)
accuracy	0.0	(sin.f64 re)
accuracy	2.90735591232869	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
accuracy	18.041481924340857	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))

Samples

50.0ms

256×

valid

Compiler

Compiled 101 to 28 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 15.0ms (40.7% of total)

ival-sin: 6.0ms (16.3% of total)

ival-exp: 5.0ms (13.6% of total)

ival-cosh: 4.0ms (10.9% of total)

ival-add: 3.0ms (8.1% of total)

ival-neg: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory

0.4MiB live, 38.8MiB allocated

Counts

14 → 66

Calls

Call 1

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

Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im)))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im)))))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im))))))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (* re (exp im)))
(* re (+ (* -1/12 (* (pow re 2) (exp im))) (* 1/2 (exp im))))
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* 1/240 (* (pow re 2) (exp im)))))))
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (exp im))) (* 1/240 (exp im))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(* 1/2 (sin re))
(* 1/2 (* (exp im) (sin re)))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(* 1/2 im)
(+ 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)))))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re)))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re)))))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re))))))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))
(+ (* 1/2 (sin re)) (* im (+ (* 1/4 (* im (sin re))) (* 1/2 (sin re)))))
(+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* 1/12 (* im (sin re))) (* 1/4 (sin re)))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -1 im)
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(exp (neg im))
(exp im)
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(exp (* -1 im))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	im	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im))
3.0ms	re	@	0	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im))
3.0ms	im	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im))
3.0ms	re	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im))
2.0ms	re	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im))

simplify158.0ms (2.1%)

Memory

21.9MiB live, 214.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	999
1	958	883
2	2787	852
3	5525	846
4	6725	846
0	8119	766

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im)))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im)))))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im))))))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (* re (exp im)))
(* re (+ (* -1/12 (* (pow re 2) (exp im))) (* 1/2 (exp im))))
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* 1/240 (* (pow re 2) (exp im)))))))
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (exp im))) (* 1/240 (exp im))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(* 1/2 (sin re))
(* 1/2 (* (exp im) (sin re)))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(* 1/2 im)
(+ 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)))))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re)))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re)))))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re))))))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))
(+ (* 1/2 (sin re)) (* im (+ (* 1/4 (* im (sin re))) (* 1/2 (sin re)))))
(+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* 1/12 (* im (sin re))) (* 1/4 (sin re)))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -1 im)
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(exp (neg im))
(exp im)
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(exp (* -1 im))

Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 (.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
(* re (+ 1 (* 1/2 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im)))))
(.f64 (.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im))))))))
(.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im)))))))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im))))))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(* 1/2 (* re (exp im)))
(.f64 (.f64 (exp.f64 im) re) #s(literal 1/2 binary64))
(* re (+ (* -1/12 (* (pow re 2) (exp im))) (* 1/2 (exp im))))
(.f64 (.f64 (exp.f64 im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* 1/240 (* (pow re 2) (exp im)))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (exp.f64 im) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 (exp.f64 im) re) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (exp im))) (* 1/240 (exp im))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (exp.f64 im) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (exp.f64 im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(sin re)
(sin.f64 re)
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (* (exp im) (sin re)))
(.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sin.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)) (sin.f64 re)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 im)
(*.f64 im #s(literal 1/2 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re)))))
(sin.f64 re)
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re)))))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re))))))))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #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))
(+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))
(*.f64 (sin.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (sin re)) (* im (+ (* 1/4 (* im (sin re))) (* 1/2 (sin re)))))
(fma.f64 (.f64 im (sin.f64 re)) (fma.f64 #s(literal 1/4 binary64) im #s(literal 1/2 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* 1/12 (* im (sin re))) (* 1/4 (sin re)))))))
(fma.f64 (.f64 (.f64 im (sin.f64 re)) (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64))) im (*.f64 (sin.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #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 im)
(neg.f64 im)
(* 1/2 (* (pow im 2) (sin re)))
(.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(* 1/2 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/2 binary64))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp im)
(exp.f64 im)
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite188.0ms (2.5%)

Memory

-14.7MiB live, 307.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	88
0	43	73
1	135	67
2	796	67
0	8812	67

Stop Event

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

Counts

14 → 808

Calls

Call 1

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

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

eval68.0ms (0.9%)

Memory: 23.3MiB live, 140.7MiB allocated
Compiler: Compiled 17 572 to 1 928 computations (89% saved)

prune20.0ms (0.3%)

Memory

-23.7MiB live, 53.8MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	609	12	621
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	611	13	624

Accuracy

100.0%

Counts

624 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	92.0%	(.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))) (sin.f64 re))
▶	86.0%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
	55.1%	#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
	76.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re)))
✓	76.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
	49.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) re))))
	54.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))))
	49.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))))
▶	52.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
▶	54.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
	49.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
▶	20.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))

Compiler

Compiled 700 to 502 computations (28.3% saved)

simplify184.0ms (2.5%)

Memory

28.1MiB live, 180.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #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 #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 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
cost-diff	0	(.f64 im (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)
cost-diff	0	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
cost-diff	0	(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
cost-diff	2	(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
cost-diff	0	(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 (sin.f64 re) (cosh.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	367
0	68	354
1	136	354
2	290	336
3	813	333
4	2758	333
5	4520	333
6	4983	333
7	5153	333
8	5527	333
9	6627	333
0	8546	330

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
re
(cosh.f64 im)
im
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 re re)
re
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im))
(.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)
(.f64 im (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
im
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #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 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 re)
re

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

localize150.0ms (2%)

Memory

-17.5MiB live, 187.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
accuracy	8.878170375705272	#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	0.125	(.f64 im (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
accuracy	0.140625	(.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)
accuracy	18.041481924340857	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
accuracy	33.21562242288745	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im))
accuracy	0.078125	(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))
accuracy	2.87219966232869	(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
accuracy	18.041481924340857	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
accuracy	24.42284504529377	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
accuracy	0.0	(*.f64 im im)
accuracy	2.87219966232869	(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
accuracy	18.041481924340857	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
accuracy	24.369195726108316	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
accuracy	0.0	(sin.f64 re)
accuracy	0.0	(cosh.f64 im)
accuracy	0.0078125	(*.f64 (sin.f64 re) (cosh.f64 im))

Samples

98.0ms

256×

valid

Compiler

Compiled 249 to 43 computations (82.7% saved)

Precisions

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

ival-mult: 38.0ms (49.9% of total)

ival-exp: 10.0ms (13.1% of total)

const: 9.0ms (11.8% of total)

ival-add: 8.0ms (10.5% of total)

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

ival-cosh: 3.0ms (3.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory

-6.6MiB live, 30.0MiB allocated

Counts

21 → 73

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
(cosh.f64 im)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im))
(.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)
(.f64 im (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #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 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(*.f64 im im)
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2))))
(+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2)))))))))
(* 1/2 (* (pow im 2) re))
(* re (+ (* -1/12 (* (pow im 2) (pow re 2))) (* 1/2 (pow im 2))))
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* 1/240 (* (pow im 2) (pow re 2)))))))
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* (pow re 2) (+ (* -1/10080 (* (pow im 2) (pow re 2))) (* 1/240 (pow im 2))))))))
(* 1/2 (* im re))
(* re (+ (* -1/12 (* im (pow re 2))) (* 1/2 im)))
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* 1/240 (* im (pow re 2)))))))
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* (pow re 2) (+ (* -1/10080 (* im (pow re 2))) (* 1/240 im)))))))
-1/6
(- (* 1/120 (pow re 2)) 1/6)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/120 (* (pow re 5) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(* 1/120 (* (pow re 4) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(* 1/2 (* (pow im 2) (sin re)))
(* 1/2 (* im (sin re)))
(* 1/120 (pow re 2))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* -1 (* (pow re 5) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))))))
(* -1 (* (pow re 5) (+ (* -1 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 4))) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2)))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 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)))))))
(+ re (* 1/2 (* (pow im 2) re)))
(+ (* 1/2 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(+ 1 (+ (* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(pow im 2)
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/2 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
(* (pow im 2) (+ (* 1/2 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (/ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (pow im 2))))
(* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(* (pow im 2) (+ (* 1/2 (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (+ (/ 1 (pow im 2)) (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	im	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* im (* (sin re) 1/2)) im) (* im (* (sin re) 1/2)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* im im) (+ (* 1/120 (* re re)) -1/6))
4.0ms	re	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* im (* (sin re) 1/2)) im) (* im (* (sin re) 1/2)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* im im) (+ (* 1/120 (* re re)) -1/6))
4.0ms	im	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* im (* (sin re) 1/2)) im) (* im (* (sin re) 1/2)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* im im) (+ (* 1/120 (* re re)) -1/6))
4.0ms	re	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* im (* (sin re) 1/2)) im) (* im (* (sin re) 1/2)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* im im) (+ (* 1/120 (* re re)) -1/6))
3.0ms	im	@	0	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* im (* (sin re) 1/2)) im) (* im (* (sin re) 1/2)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* im im) (+ (* 1/120 (* re re)) -1/6))

simplify179.0ms (2.4%)

Memory

26.4MiB live, 143.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1335
1	946	1196
2	3083	1091
3	7882	1091
0	8040	988

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 72

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2))))
(+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2)))))))))
(* 1/2 (* (pow im 2) re))
(* re (+ (* -1/12 (* (pow im 2) (pow re 2))) (* 1/2 (pow im 2))))
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* 1/240 (* (pow im 2) (pow re 2)))))))
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* (pow re 2) (+ (* -1/10080 (* (pow im 2) (pow re 2))) (* 1/240 (pow im 2))))))))
(* 1/2 (* im re))
(* re (+ (* -1/12 (* im (pow re 2))) (* 1/2 im)))
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* 1/240 (* im (pow re 2)))))))
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* (pow re 2) (+ (* -1/10080 (* im (pow re 2))) (* 1/240 im)))))))
-1/6
(- (* 1/120 (pow re 2)) 1/6)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/120 (* (pow re 5) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(* 1/120 (* (pow re 4) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(* 1/2 (* (pow im 2) (sin re)))
(* 1/2 (* im (sin re)))
(* 1/120 (pow re 2))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* -1 (* (pow re 5) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))))))
(* -1 (* (pow re 5) (+ (* -1 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 4))) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2)))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 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)))))))
(+ re (* 1/2 (* (pow im 2) re)))
(+ (* 1/2 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(+ 1 (+ (* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(pow im 2)
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/2 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
(* (pow im 2) (+ (* 1/2 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (/ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (pow im 2))))
(* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(* (pow im 2) (+ (* 1/2 (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (+ (/ 1 (pow im 2)) (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) re)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* re (+ 1 (* 1/2 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2)))))))))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* 1/2 (* (pow im 2) re))
(.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64))
(* re (+ (* -1/12 (* (pow im 2) (pow re 2))) (* 1/2 (pow im 2))))
(.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* 1/240 (* (pow im 2) (pow re 2)))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (.f64 im im) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* (pow re 2) (+ (* -1/10080 (* (pow im 2) (pow re 2))) (* 1/240 (pow im 2))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (.f64 im im) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* 1/2 (* im re))
(.f64 (.f64 #s(literal 1/2 binary64) re) im)
(* re (+ (* -1/12 (* im (pow re 2))) (* 1/2 im)))
(.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* 1/240 (* im (pow re 2)))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 im (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) im))
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* (pow re 2) (+ (* -1/10080 (* im (pow re 2))) (* 1/240 im)))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow re 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(* 1/120 (* (pow re 5) (+ 1 (* 1/2 (pow im 2)))))
(.f64 (pow.f64 re #s(literal 5 binary64)) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal 1/120 binary64)))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))) (pow.f64 re #s(literal 5 binary64)))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re))) (fma.f64 (.f64 im (/.f64 im (pow.f64 re #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 5 binary64)))
(* 1/120 (* (pow re 4) (+ 1 (* 1/2 (pow im 2)))))
(.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal 1/120 binary64)))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re))) (.f64 (.f64 im im) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/2 (* (pow im 2) (sin re)))
(.f64 (.f64 (*.f64 (sin.f64 re) im) #s(literal 1/2 binary64)) im)
(* 1/2 (* im (sin re)))
(.f64 (.f64 (sin.f64 re) im) #s(literal 1/2 binary64))
(* 1/120 (pow re 2))
(.f64 #s(literal 1/120 binary64) (.f64 re re))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 re re))) re) re)
(* -1 (* (pow re 5) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))) (pow.f64 re #s(literal 5 binary64)))
(* -1 (* (pow re 5) (+ (* -1 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 4))) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2)))))))
(fma.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 re #s(literal 5 binary64)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 5 binary64))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sin.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)) (sin.f64 re)))
1
#s(literal 1 binary64)
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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))
(+ re (* 1/2 (* (pow im 2) re)))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(+ (* 1/2 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow im 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(pow im 2)
(*.f64 im im)
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(* 1/2 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/2 binary64))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
(.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re))
(* (pow im 2) (+ (* 1/2 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (/ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))
(* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)
(* (pow im 2) (+ (* 1/2 (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (+ (/ 1 (pow im 2)) (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2)))))
(fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) im) (/.f64 re im) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 im im) #s(literal 1 binary64))
(* 1/24 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow im 2))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))

rewrite164.0ms (2.2%)

Memory

1.2MiB live, 233.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	313
0	68	300
1	235	282
2	1462	282
0	8459	282

Stop Event

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

Counts

21 → 555

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
(cosh.f64 im)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im))
(.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)
(.f64 im (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #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 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(*.f64 im im)
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))

Outputs
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (pow.f64 (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sin.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) (sin.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 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (exp.f64 im)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 re) (exp.f64 im))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 im) (sin.f64 re)))
(.f64 (.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)))
(*.f64 (cosh.f64 im) (sin.f64 re))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (sin.f64 re) (cosh.f64 im))
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eval136.0ms (1.8%)

Memory: -5.1MiB live, 165.8MiB allocated
Compiler: Compiled 37 929 to 3 686 computations (90.3% saved)

prune40.0ms (0.5%)

Memory

-13.1MiB live, 69.7MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	788	19	807
Fresh	5	2	7
Picked	2	3	5
Done	0	1	1
Total	795	25	820

Accuracy

100.0%

Counts

820 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
▶	92.0%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	54.7%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
▶	86.0%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
	85.8%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
	86.0%	(.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re))
	55.1%	#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
	76.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re)))
✓	76.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
	44.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)) re (.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
	19.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re) (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re)) (.f64 re re)) (-.f64 (.f64 (.f64 (*.f64 im im) #s(literal 1/2 binary64)) re) re))))
	52.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
	52.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 im))) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
▶	54.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
✓	52.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
▶	49.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
	26.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 #s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
✓	20.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
	16.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(literal 1/2 binary64))) im)))
	24.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
	42.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
	26.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
	16.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)) im)))
▶	19.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
	20.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))))

Compiler

Compiled 1 709 to 1 135 computations (33.6% saved)

simplify160.0ms (2.2%)

Memory

29.4MiB live, 141.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
cost-diff	0	(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
cost-diff	0	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
cost-diff	2	(.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
cost-diff	0	(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
cost-diff	0	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
cost-diff	0	#s(approx (* im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im))
cost-diff	0	(.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)
cost-diff	0	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
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 (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	(sin.f64 re)
cost-diff	0	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	563
0	92	544
1	183	544
2	371	526
3	1021	522
4	2635	522
5	2781	522
6	2844	522
7	2917	522
8	3028	522
9	3172	522
10	5975	522
0	8546	518

Stop Event

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

Calls

Call 1

Inputs
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
re
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(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)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im))
(.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)
#s(approx (* im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) im)
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
im
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 re re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 re re)
re
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 re)
re

Outputs
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.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))) (sin.f64 re))
(sin.f64 re)
re
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* 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)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im))
(.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)
#s(approx (* im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im))
(.f64 (.f64 #s(literal 1/2 binary64) re) im)
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
im
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re) (fma.f64 (.f64 re re) #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re) (fma.f64 (.f64 re re) #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re) (fma.f64 (.f64 re re) #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 re re) #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (.f64 re re) #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 re re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re)
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 re re)
re
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 re)
re

localize165.0ms (2.2%)

Memory

-17.9MiB live, 177.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
accuracy	0.046875	(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
accuracy	8.878170375705272	#s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
accuracy	0.078125	(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	2.84876216232869	(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
accuracy	18.041481924340857	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
accuracy	24.42284504529377	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
accuracy	2.87219966232869	(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
accuracy	18.041481924340857	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
accuracy	24.42284504529377	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
accuracy	29.96591491687966	#s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64))
accuracy	0.140625	(.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)
accuracy	18.041481924340857	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
accuracy	28.99933692620756	#s(approx (* im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im))
accuracy	33.21562242288745	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im))
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 (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

129.0ms

256×

valid

Compiler

Compiled 359 to 58 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 46.0ms (43.7% of total)

ival-add: 30.0ms (28.5% of total)

const: 12.0ms (11.4% of total)

ival-exp: 6.0ms (5.7% of total)

ival-sin: 6.0ms (5.7% of total)

ival-cosh: 3.0ms (2.8% of total)

ival-sub: 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)

series22.0ms (0.3%)

Memory

-10.4MiB live, 27.5MiB allocated

Counts

25 → 89

Calls

Call 1

Inputs
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(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 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im))
(.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)
#s(approx (* im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 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))
#s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 1/2 (* (pow im 2) re))
(* re (+ (* -1/12 (* (pow im 2) (pow re 2))) (* 1/2 (pow im 2))))
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* 1/240 (* (pow im 2) (pow re 2)))))))
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* (pow re 2) (+ (* -1/10080 (* (pow im 2) (pow re 2))) (* 1/240 (pow im 2))))))))
(* 1/2 (* im re))
(* re (+ (* -1/12 (* im (pow re 2))) (* 1/2 im)))
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* 1/240 (* im (pow re 2)))))))
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* (pow re 2) (+ (* -1/10080 (* im (pow re 2))) (* 1/240 im)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2))))
(+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2)))))))))
-1/6
(- (* 1/120 (pow re 2)) 1/6)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (* (pow im 2) (sin re)))
(* 1/2 (* im (sin re)))
(* 1/120 (* (pow re 5) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(* 1/120 (* (pow re 4) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(* 1/120 (pow re 5))
(* (pow re 5) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2)))))
(* 1/120 (pow re 2))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* -1 (* (pow re 5) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))))))
(* -1 (* (pow re 5) (+ (* -1 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 4))) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2)))))))
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) 1/120)))
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 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 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(+ 1 (+ (* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* 1/2 im)
(* im (+ 1/2 (* 1/24 (pow im 2))))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 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))))))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
(* (pow im 2) (+ (* 1/2 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (/ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (pow im 2))))
(* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(* (pow im 2) (+ (* 1/2 (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (+ (/ 1 (pow im 2)) (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 3))
(* (pow im 3) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 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))))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	im	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* im (* (sin re) 1/2)) im) (* im (* (sin re) 1/2)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) re) (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (* (+ (* (+ (* (* re re) 1/120) -1/6) (* re re)) 1) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) (* (+ (* (+ (* (* re re) 1/120) -1/6) (* re re)) 1) re)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (* (+ (* 1/24 (* im im)) 1/2) im) im) 1) (* (+ (* 1/24 (* im im)) 1/2) im) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/120 (* re re)) -1/6) (+ (* (* re re) 1/120) -1/6) (+ (* 1/24 (* im im)) 1/2))
4.0ms	im	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* im (* (sin re) 1/2)) im) (* im (* (sin re) 1/2)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) re) (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (* (+ (* (+ (* (* re re) 1/120) -1/6) (* re re)) 1) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) (* (+ (* (+ (* (* re re) 1/120) -1/6) (* re re)) 1) re)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (* (+ (* 1/24 (* im im)) 1/2) im) im) 1) (* (+ (* 1/24 (* im im)) 1/2) im) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/120 (* re re)) -1/6) (+ (* (* re re) 1/120) -1/6) (+ (* 1/24 (* im im)) 1/2))
3.0ms	re	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* im (* (sin re) 1/2)) im) (* im (* (sin re) 1/2)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) re) (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (* (+ (* (+ (* (* re re) 1/120) -1/6) (* re re)) 1) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) (* (+ (* (+ (* (* re re) 1/120) -1/6) (* re re)) 1) re)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (* (+ (* 1/24 (* im im)) 1/2) im) im) 1) (* (+ (* 1/24 (* im im)) 1/2) im) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/120 (* re re)) -1/6) (+ (* (* re re) 1/120) -1/6) (+ (* 1/24 (* im im)) 1/2))
3.0ms	re	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* im (* (sin re) 1/2)) im) (* im (* (sin re) 1/2)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) re) (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (* (+ (* (+ (* (* re re) 1/120) -1/6) (* re re)) 1) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) (* (+ (* (+ (* (* re re) 1/120) -1/6) (* re re)) 1) re)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (* (+ (* 1/24 (* im im)) 1/2) im) im) 1) (* (+ (* 1/24 (* im im)) 1/2) im) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/120 (* re re)) -1/6) (+ (* (* re re) 1/120) -1/6) (+ (* 1/24 (* im im)) 1/2))
3.0ms	im	@	0	((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* im (* (sin re) 1/2)) im) (* im (* (sin re) 1/2)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) re) (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (* (+ (* (+ (* (* re re) 1/120) -1/6) (* re re)) 1) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) (* (+ (* (+ (* (* re re) 1/120) -1/6) (* re re)) 1) re)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (* (+ (* 1/24 (* im im)) 1/2) im) im) 1) (* (+ (* 1/24 (* im im)) 1/2) im) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/120 (* re re)) -1/6) (+ (* (* re re) 1/120) -1/6) (+ (* 1/24 (* im im)) 1/2))

simplify205.0ms (2.8%)

Memory

23.8MiB live, 216.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	1520
1	1043	1395
2	3373	1274
0	8364	1167

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 88

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 1/2 (* (pow im 2) re))
(* re (+ (* -1/12 (* (pow im 2) (pow re 2))) (* 1/2 (pow im 2))))
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* 1/240 (* (pow im 2) (pow re 2)))))))
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* (pow re 2) (+ (* -1/10080 (* (pow im 2) (pow re 2))) (* 1/240 (pow im 2))))))))
(* 1/2 (* im re))
(* re (+ (* -1/12 (* im (pow re 2))) (* 1/2 im)))
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* 1/240 (* im (pow re 2)))))))
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* (pow re 2) (+ (* -1/10080 (* im (pow re 2))) (* 1/240 im)))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2))))
(+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2)))))))))
-1/6
(- (* 1/120 (pow re 2)) 1/6)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (* (pow im 2) (sin re)))
(* 1/2 (* im (sin re)))
(* 1/120 (* (pow re 5) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(* 1/120 (* (pow re 4) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(* 1/120 (pow re 5))
(* (pow re 5) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2)))))
(* 1/120 (pow re 2))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* -1 (* (pow re 5) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))))))
(* -1 (* (pow re 5) (+ (* -1 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 4))) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2)))))))
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) 1/120)))
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4))))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 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 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(+ 1 (+ (* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* 1/2 im)
(* im (+ 1/2 (* 1/24 (pow im 2))))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 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))))))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
(* (pow im 2) (+ (* 1/2 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (/ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (pow im 2))))
(* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(* (pow im 2) (+ (* 1/2 (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (+ (/ 1 (pow im 2)) (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 3))
(* (pow im 3) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 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))))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) re)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* re (+ 1 (* 1/2 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)
(* 1/2 (* (pow im 2) re))
(.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64))
(* re (+ (* -1/12 (* (pow im 2) (pow re 2))) (* 1/2 (pow im 2))))
(.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* 1/240 (* (pow im 2) (pow re 2)))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (.f64 im im) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/12 (pow im 2)) (* (pow re 2) (+ (* -1/10080 (* (pow im 2) (pow re 2))) (* 1/240 (pow im 2))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (.f64 im im) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* 1/2 (* im re))
(.f64 (.f64 im re) #s(literal 1/2 binary64))
(* re (+ (* -1/12 (* im (pow re 2))) (* 1/2 im)))
(.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* 1/240 (* im (pow re 2)))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 im (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (.f64 im re) #s(literal 1/2 binary64)))
(* re (+ (* 1/2 im) (* (pow re 2) (+ (* -1/12 im) (* (pow re 2) (+ (* -1/10080 (* im (pow re 2))) (* 1/240 im)))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2)))))))))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow re 2)) 1/6)
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(* 1/2 (* (pow im 2) (sin re)))
(.f64 (.f64 (*.f64 (sin.f64 re) im) #s(literal 1/2 binary64)) im)
(* 1/2 (* im (sin re)))
(.f64 (.f64 (sin.f64 re) im) #s(literal 1/2 binary64))
(* 1/120 (* (pow re 5) (+ 1 (* 1/2 (pow im 2)))))
(.f64 (pow.f64 re #s(literal 5 binary64)) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal 1/120 binary64)))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))) (pow.f64 re #s(literal 5 binary64)))
(* (pow re 5) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re))) (fma.f64 (/.f64 im (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 5 binary64)))
(* 1/120 (* (pow re 4) (+ 1 (* 1/2 (pow im 2)))))
(.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/240 binary64) #s(literal 1/120 binary64)))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/120 (+ 1 (* 1/2 (pow im 2))))))
(.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))))
(* (pow re 4) (+ (* -1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (+ (* 1/120 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 4))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re))) (.f64 (/.f64 im (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) im))) (pow.f64 re #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/120 (pow re 5))
(*.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow re 5) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re))) (pow.f64 re #s(literal 5 binary64)))
(* (pow re 5) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 re re))) (pow.f64 re #s(literal 5 binary64)))
(* 1/120 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/120 binary64))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 re re))) re) re)
(* -1 (* (pow re 5) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))) (pow.f64 re #s(literal 5 binary64)))
(* -1 (* (pow re 5) (+ (* -1 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 4))) (+ (* -1/120 (+ 1 (* 1/2 (pow im 2)))) (* 1/6 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2)))))))
(fma.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 re #s(literal 5 binary64)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 re re)))) (pow.f64 re #s(literal 5 binary64))))
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re))) (pow.f64 re #s(literal 5 binary64)))
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 re re))) (pow.f64 re #s(literal 5 binary64)))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sin.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)) (sin.f64 re)))
1
#s(literal 1 binary64)
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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))
(+ (* 1/2 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)))
(* 1/2 im)
(*.f64 #s(literal 1/2 binary64) im)
(* im (+ 1/2 (* 1/24 (pow im 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow im 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow im 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(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))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 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 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(.f64 (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (/.f64 (/.f64 (sin.f64 re) im) im)) (.f64 im im))
(* 1/2 (* (pow im 2) (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
(.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re))
(* (pow im 2) (+ (* 1/2 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))) (/ (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (pow im 2))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) re (/.f64 (/.f64 re im) im))) (*.f64 im im))
(* 1/2 (* (pow im 2) (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)
(* (pow im 2) (+ (* 1/2 (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (+ (/ 1 (pow im 2)) (/ (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)) (pow im 2)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) im) (/.f64 re im))) (.f64 im im) #s(literal 1 binary64))
(* 1/24 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow im 3) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
(* 1/720 (pow im 2))
(.f64 #s(literal 1/720 binary64) (.f64 im im))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 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 (pow.f64 im #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (pow.f64 im #s(literal 4 binary64)))
(* 1/24 (pow im 2))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))

rewrite197.0ms (2.7%)

Memory

-8.8MiB live, 278.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	473
0	92	455
1	339	437
2	2145	437
0	8382	437

Stop Event

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

Counts

25 → 445

Calls

Call 1

Inputs
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(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 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im))
(.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)
#s(approx (* im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im)
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 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))
#s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))

Outputs
(.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))) (sin.f64 re))
(.f64 (sin.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))))
(sin.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 (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)) (pow.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)) #s(literal -1 binary64)))
(.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)) (pow.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)) #s(literal -1 binary64)))
(pow.f64 (/.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)) (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))) #s(literal -1 binary64))
(pow.f64 (/.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)) (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))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.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))) (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(literal 3 binary64)) (pow.f64 (pow.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)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.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))) (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 (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))) (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 (pow.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)) #s(literal -1 binary64)) (pow.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)) #s(literal -1 binary64)) (.f64 (/.f64 (.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))) (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))) (pow.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)) #s(literal -1 binary64))))))
(/.f64 (neg.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))))) (neg.f64 (-.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 (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)))) (neg.f64 (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 (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)))) (neg.f64 (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)))))
(/.f64 (-.f64 (.f64 (.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))) (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 (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(literal 1 binary64))) (.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)) (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 (.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))) (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))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.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 (.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 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #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))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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)) (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 (/.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)) (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 (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)) (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 (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) (-.f64 (.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 (.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 (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 (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)))
(/.f64 #s(literal 1 binary64) (/.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)) (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) (/.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)) (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))))
(fma.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) (.f64 im #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.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 #s(literal 1 binary64))
(fma.f64 (.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) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.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) #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 (.f64 im im) #s(literal 1 binary64)) #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 (.f64 im im) (.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 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (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 1 binary64))
(fma.f64 im (.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) #s(literal 1 binary64))
(-.f64 (/.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 (.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 (.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 (/.f64 (.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))) (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))) (pow.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)) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 #s(literal 1/120 binary64) re) re))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 #s(literal 1/120 binary64) re) re)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 re re) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 re re) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 re re) #s(literal -1/720 binary64)))) (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) re) re #s(literal -1/6 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))
(fma.f64 re (*.f64 #s(literal 1/120 binary64) re) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) re) re))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 #s(literal 1/120 binary64) re) re))))
(-.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) re) re))
(+.f64 (.f64 (.f64 #s(literal 1/120 binary64) re) re) #s(literal -1/6 binary64))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 im im) #s(literal 1/48 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 (*.f64 im im) #s(literal 1/48 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 (*.f64 im im) #s(literal 1/48 binary64)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 im (*.f64 #s(literal 1/24 binary64) im) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 im im)))))
(-.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))

eval175.0ms (2.4%)

Memory: -6.5MiB live, 108.3MiB allocated
Compiler: Compiled 31 020 to 2 911 computations (90.6% saved)

prune53.0ms (0.7%)

Memory

32.4MiB live, 70.0MiB allocated

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	522	9	531
Fresh	3	13	16
Picked	2	3	5
Done	0	4	4
Total	527	29	556

Accuracy

100.0%

Counts

556 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	92.0%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	92.0%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	91.9%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	54.7%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
	86.0%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
	85.8%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) im) im #s(literal 1 binary64))) (sin.f64 re))
	85.8%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
	86.0%	(.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re))
	55.1%	#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
	76.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re)))
✓	76.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
	33.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) (.f64 re (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))) re (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))))
	19.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re) (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re)) (.f64 re re)) (-.f64 (.f64 (.f64 (*.f64 im im) #s(literal 1/2 binary64)) re) re))))
	52.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
	35.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))) re)))
	52.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 im))) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
✓	54.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
✓	52.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
✓	49.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
	26.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 #s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
✓	20.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
	16.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(literal 1/2 binary64))) im)))
	24.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
	42.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
	26.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
	16.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)) im)))
✓	19.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
	20.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))))

Compiler

Compiled 2 542 to 963 computations (62.1% saved)

regimes154.0ms (2.1%)

Memory

-7.7MiB live, 124.8MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 im))) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 #s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) (.f64 re (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))) re (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)) re (.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re) (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re)) (.f64 re re)) (-.f64 (.f64 (.f64 (*.f64 im im) #s(literal 1/2 binary64)) re) re))))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.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 #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))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) re))))
(*.f64 (sin.f64 re) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))

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

Calls

6 calls:

64.0ms	re
36.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
14.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
13.0ms	(sin.f64 re)
12.0ms	im

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
100.0%	1	`(sin.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes131.0ms (1.8%)

Memory

2.6MiB live, 156.9MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 im))) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 #s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) (.f64 re (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))) re (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)) re (.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re) (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re)) (.f64 re re)) (-.f64 (.f64 (.f64 (*.f64 im im) #s(literal 1/2 binary64)) re) re))))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.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 #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))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) re))))
(*.f64 (sin.f64 re) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

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

Calls

6 calls:

43.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
28.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
18.0ms	im
14.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
13.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
100.0%	1	`(sin.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes131.0ms (1.8%)

Memory

-27.2MiB live, 129.9MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 im))) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 #s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) (.f64 re (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))) re (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)) re (.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re) (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re)) (.f64 re re)) (-.f64 (.f64 (.f64 (*.f64 im im) #s(literal 1/2 binary64)) re) re))))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.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 #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))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (.f64 #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) 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))) (sin.f64 re))

Calls

6 calls:

41.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
38.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
16.0ms	re
11.0ms	(sin.f64 re)
11.0ms	im

Results

Accuracy	Segments	Branch
92.0%	1	`re`
92.0%	1	`im`
92.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
92.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
92.0%	1	`(sin.f64 re)`
92.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes63.0ms (0.8%)

Memory

18.9MiB live, 132.9MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 im))) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 #s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) (.f64 re (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))) re (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)) re (.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re) (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re)) (.f64 re re)) (-.f64 (.f64 (.f64 (*.f64 im im) #s(literal 1/2 binary64)) re) re))))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

Outputs

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

Calls

6 calls:

12.0ms	re
11.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
11.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
10.0ms	(sin.f64 re)
10.0ms	im

Results

Accuracy	Segments	Branch
91.9%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
91.9%	1	`(sin.f64 re)`
91.9%	1	`re`
91.9%	1	`im`
91.9%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
91.9%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes155.0ms (2.1%)

Memory

8.7MiB live, 125.0MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))

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

Calls

6 calls:

92.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
23.0ms	re
11.0ms	(sin.f64 re)
9.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	im

Results

Accuracy	Segments	Branch
86.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
86.0%	1	`(sin.f64 re)`
86.0%	1	`re`
89.2%	3	`im`
89.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
86.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
89.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes47.0ms (0.6%)

Memory

-14.8MiB live, 21.8MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

45.0ms

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

Results

Accuracy	Segments	Branch
89.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes9.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
89.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes53.0ms (0.7%)

Memory

-6.6MiB live, 47.1MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (+ ( 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (fma.f64 (/.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 im))) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 #s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) re) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(approx (+ (* 1/120 (* re re)) -1/6) #s(literal -1/6 binary64)) re) (.f64 re (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)))) re (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)) re (.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re) (.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re)) (.f64 re re)) (-.f64 (.f64 (.f64 (*.f64 im im) #s(literal 1/2 binary64)) re) re))))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))))

Outputs

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

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

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))

Calls

6 calls:

15.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
8.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms	im
7.0ms	(sin.f64 re)
7.0ms	re

Results

Accuracy	Segments	Branch
78.4%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
76.2%	1	`re`
76.2%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
76.2%	1	`(sin.f64 re)`
81.6%	3	`im`
86.2%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory

-30.2MiB live, 8.3MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
86.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes63.0ms (0.8%)

Memory

29.1MiB live, 67.5MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re)))

Calls

6 calls:

30.0ms	(sin.f64 re)
6.0ms	re
6.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms	im
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
54.9%	1	`re`
63.1%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
63.1%	2	`(sin.f64 re)`
54.9%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
54.9%	1	`im`
63.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes16.0ms (0.2%)

Memory

-7.5MiB live, 29.1MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 #s(approx (* (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))

Calls

3 calls:

7.0ms	(sin.f64 re)
4.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
60.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
60.8%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
60.8%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes17.0ms (0.2%)

Memory

-19.6MiB live, 21.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

10.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
60.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
60.2%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
60.2%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
2.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
60.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
60.1%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
60.1%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes14.0ms (0.2%)

Memory

-9.3MiB live, 28.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

4.0ms	im
2.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms	(sin.f64 re)
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
2.0ms	re

Results

Accuracy	Segments	Branch
52.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
52.0%	1	`im`
52.0%	1	`re`
52.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
52.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
52.0%	1	`(sin.f64 re)`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

2.0ms	im
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
2.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms	(sin.f64 re)
1.0ms	re

Results

Accuracy	Segments	Branch
24.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
24.0%	1	`im`
24.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
24.0%	1	`(sin.f64 re)`
24.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
24.0%	1	`re`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

-13.4MiB live, 23.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
1.0ms	(sin.f64 re)
1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
19.7%	1	`re`
19.7%	1	`im`
19.7%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
19.7%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
19.7%	1	`(sin.f64 re)`
19.7%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-4.781336822596902

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-4.781336822596902

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-4.781336822596902

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-4.781336822596902

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3072586197128844	+inf
0.0ms	-inf	-4.781336822596902

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3072586197128844	+inf
0.0ms	-inf	-4.781336822596902

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001009737389779179	0.06992443537102426

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2339994460563973e-5	0.0001009737389779179

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.003010874471460278	3.043709630458378e-305

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.003010874471460278	3.043709630458378e-305

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify75.0ms (1%)

Memory

-4.3MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1097
1	246	1097
2	372	1097
3	709	1097
4	2021	1097
5	4293	1097
6	4898	1097
7	5530	1097
8	6868	1097

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (sin.f64 re) (cosh.f64 im))
(.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))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) (.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 2 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 2 binary64)) #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))))
(if (<=.f64 (sin.f64 re) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re))))
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)) im))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))

Outputs
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (sin.f64 re) (cosh.f64 im))
(.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))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (sin.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) (.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))) (.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (.f64 #s(approx ( 1 (cosh im)) (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 2 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 2 binary64)) #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))))
(if (<=.f64 (sin.f64 re) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) im) im)) re))))
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* (* im im) 1/2) 1) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)) im))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* im (* (sin re) 1/2)) im) (.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( im (* (sin re) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) re) im)) im)))

soundness1.9s (25.1%)

Memory

-9.0MiB live, 1 439.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	313
0	68	300
1	235	282
2	1462	282
0	8459	282
0	284	1520
1	1043	1395
2	3373	1274
0	8364	1167
0	11	27
0	18	24
1	59	22
2	397	20
0	4424	20
0	27	88
0	43	73
1	135	67
2	796	67
0	8812	67
0	118	362
1	381	330
2	1177	318
3	3950	301
4	4856	301
5	5410	301
6	6033	301
7	7192	301
0	8039	267
0	277	999
1	958	883
2	2787	852
3	5525	846
4	6725	846
0	8119	766
0	256	1335
1	946	1196
2	3083	1091
3	7882	1091
0	8040	988

Stop Event

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

Compiler

Compiled 1 736 to 690 computations (60.3% saved)

preprocess155.0ms (2.1%)

Memory: 11.2MiB live, 249.8MiB allocated
Remove: (negabs re)
Compiler: Compiled 2 466 to 490 computations (80.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

Iter	Nodes	Cost
0	27	106
0	43	91
1	86	91
2	147	85
3	205	85
4	295	85
5	352	85
6	413	85
7	483	85
8	559	85
9	604	85
10	606	85
11	609	85
0	609	85

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

Iter	Nodes	Cost
0	27	106
0	43	91
1	86	91
2	147	85
3	205	85
4	295	85
5	352	85
6	413	85
7	483	85
8	559	85
9	604	85
10	606	85
11	609	85
0	609	85

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (17.9%)

explain162.0ms (2.2%)

preprocess118.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.3%)

localize33.0ms (0.5%)

series7.0ms (0.1%)

simplify199.0ms (2.7%)

rewrite95.0ms (1.3%)

eval27.0ms (0.4%)

prune3.0ms (0%)

simplify19.0ms (0.3%)

localize68.0ms (0.9%)

series23.0ms (0.3%)

simplify158.0ms (2.1%)

rewrite188.0ms (2.5%)

eval68.0ms (0.9%)

prune20.0ms (0.3%)

simplify184.0ms (2.5%)

localize150.0ms (2%)

series28.0ms (0.4%)

simplify179.0ms (2.4%)

rewrite164.0ms (2.2%)

eval136.0ms (1.8%)

prune40.0ms (0.5%)

simplify160.0ms (2.2%)

localize165.0ms (2.2%)

series22.0ms (0.3%)

simplify205.0ms (2.8%)

rewrite197.0ms (2.7%)

eval175.0ms (2.4%)

prune53.0ms (0.7%)

regimes154.0ms (2.1%)

regimes131.0ms (1.8%)

regimes131.0ms (1.8%)

regimes63.0ms (0.8%)

regimes155.0ms (2.1%)

regimes11.0ms (0.1%)

regimes47.0ms (0.6%)

regimes9.0ms (0.1%)

regimes53.0ms (0.7%)

regimes14.0ms (0.2%)

regimes63.0ms (0.8%)

regimes16.0ms (0.2%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify75.0ms (1%)

soundness1.9s (25.1%)

preprocess155.0ms (2.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

Iter	Nodes	Cost
0	27	106
0	43	91
1	86	91
2	147	85
3	205	85
4	295	85
5	352	85
6	413	85
7	483	85
8	559	85
9	604	85
10	606	85
11	609	85
0	609	85