Metrics for math.cos on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample2.1s (20.8%)

Memory

33.5MiB live, 2 328.1MiB allocated

Samples

711.0ms	2 885×	1	valid
575.0ms	1 005×	2	valid
405.0ms	4 366×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-exp: 825.0ms (57.9% of total)

ival-sin: 233.0ms (16.4% of total)

ival-mult: 139.0ms (9.8% of total)

adjust: 103.0ms (7.2% of total)

ival-sub: 73.0ms (5.1% of total)

ival-neg: 36.0ms (2.5% of total)

ival-true: 7.0ms (0.5% of total)

exact: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain322.0ms (3.2%)

Memory

-26.9MiB live, 291.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
129	0	-	-	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	0	-	-	`(exp.f64 im)`
0	0	-	-	`(neg.f64 im)`
0	1	(1.349495529303402e+131 230.18899946978897)	-	`(exp.f64 (neg.f64 im))`
0	0	-	-	`(sin.f64 re)`
0	0	-	-	`im`
0	0	-	-	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
0	0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	0	-	-	`re`
0	0	-	-	`#s(literal 1/2 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`	cancellation	129	0
`exp.f64`	`(exp.f64 (neg.f64 im))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	96	0
-	34	126

Precision

0.7384615384615385

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	96	0	0
-	34	0	126

Precision?

0.7384615384615385

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

115.0ms	146×	1	valid
87.0ms	108×	2	valid
47.0ms	258×	0	valid

Compiler

Compiled 114 to 44 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-exp: 139.0ms (79.4% of total)

ival-sin: 14.0ms (8% of total)

ival-mult: 8.0ms (4.6% of total)

adjust: 6.0ms (3.4% of total)

ival-sub: 4.0ms (2.3% of total)

ival-neg: 2.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess158.0ms (1.6%)

Memory

19.9MiB live, 95.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	70	57
2	232	55
3	811	55
4	1902	55
5	2809	55
6	3188	55
7	3536	55
8	3561	55
9	3561	55
10	3561	55
11	3593	55
12	3599	55
13	3599	55
0	10	11
0	17	11
1	29	11
2	57	11
3	121	11
4	218	11
5	355	11
6	520	11
7	767	11
8	1098	11
9	1360	11
10	1398	11
11	1421	11
12	1423	11
13	1423	11
0	1423	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 (neg.f64 im)) (exp.f64 im)))

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

Symmetry

(negabs im)

(negabs re)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify52.0ms (0.5%)

Memory

0.4MiB live, 35.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff	0	(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 (neg.f64 im)) (exp.f64 im)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	17	33
1	29	33
2	57	33
3	121	33
4	218	33
5	355	33
6	520	33
7	767	33
8	1098	33
9	1360	33
10	1398	33
11	1421	33
12	1423	33
13	1423	33
0	1423	33

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 (neg.f64 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 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

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

localize79.0ms (0.8%)

Memory

7.8MiB live, 100.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 im))
accuracy	0	(exp.f64 im)
accuracy	0.05078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy	30.015459521697196	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Samples

40.0ms	54×	2	valid
16.0ms	73×	1	valid
14.0ms	129×	0	valid

Compiler

Compiled 68 to 22 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-exp: 30.0ms (53.1% of total)

adjust: 12.0ms (21.3% of total)

ival-sin: 6.0ms (10.6% of total)

ival-mult: 4.0ms (7.1% of total)

ival-sub: 2.0ms (3.5% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

-24.9MiB live, 13.2MiB allocated

Counts

6 → 36

Calls

Call 1

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

Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
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 (neg im)) (exp im))
(exp im)
(exp (neg im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(exp (* -1 im))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	re	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im) (exp (neg im)))
2.0ms	im	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im) (exp (neg im)))
1.0ms	im	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im) (exp (neg im)))
1.0ms	re	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im) (exp (neg im)))
1.0ms	im	@	-inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im) (exp (neg im)))

simplify279.0ms (2.8%)

Memory

44.8MiB live, 226.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	434
1	413	399
2	1136	387
3	3928	366
4	6803	366
0	8425	328

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
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 (neg im)) (exp im))
(exp im)
(exp (neg im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(exp (* -1 im))

Outputs
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 (neg im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(.f64 (.f64 (sin.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
1
#s(literal 1 binary64)
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 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 (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(exp (neg im))
(exp.f64 (neg.f64 im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite105.0ms (1%)

Memory

-44.7MiB live, 92.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	17	28
1	42	28
2	237	28
0	2269	28

Stop Event

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

Counts

6 → 148

Calls

Call 1

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

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

eval21.0ms (0.2%)

Memory: 11.3MiB live, 46.7MiB allocated
Compiler: Compiled 4 502 to 611 computations (86.4% saved)

prune15.0ms (0.2%)

Memory

-17.4MiB live, 29.5MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	172	8	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	172	9	181

Accuracy

99.9%

Counts

181 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.2%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
▶	17.7%	(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
✓	66.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	65.3%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
▶	91.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	89.7%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	84.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	51.0%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	52.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))

Compiler

Compiled 329 to 254 computations (22.8% saved)

simplify220.0ms (2.2%)

Memory

33.5MiB live, 194.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
cost-diff	0	(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
cost-diff	320	(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
cost-diff	6080	(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))
cost-diff	0	(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
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 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
cost-diff	0	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(neg.f64 im)
cost-diff	0	(*.f64 (neg.f64 im) (sin.f64 re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
cost-diff	0	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	362
0	80	362
1	143	356
2	311	352
3	838	352
4	2936	352
5	6345	352
0	8198	352

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
im
(sin.f64 re)
re
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(exp.f64 im)
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
(exp.f64 im)
im
#s(literal -2 binary64)
(pow.f64 (exp.f64 im) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(literal -1 binary64)
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.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
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
im
(sin.f64 re)
re
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.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
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.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 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(exp.f64 im)
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (cosh.f64 im)) (sin.f64 re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
(exp.f64 im)
im
#s(literal -2 binary64)
(pow.f64 (exp.f64 im) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (cosh.f64 im)) (sin.f64 re))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 im))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(cosh.f64 im)
#s(literal -1 binary64)
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)

localize470.0ms (4.7%)

Memory

-12.4MiB live, 297.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))
accuracy	0.016288769536884032	(pow.f64 (exp.f64 im) #s(literal -2 binary64))
accuracy	0.7460896216604116	(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
accuracy	30.005772787233095	(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
accuracy	0	(exp.f64 im)
accuracy	0.05078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
accuracy	1.5733381854604211	#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
accuracy	30.015459521697196	(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
accuracy	0.00390625	(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
accuracy	0.01953125	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	0.05078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy	1.2527927066806779	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	0	(sin.f64 re)
accuracy	0	(neg.f64 im)
accuracy	0.04296875	(*.f64 (neg.f64 im) (sin.f64 re))
accuracy	1.4989981800766137	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
accuracy	0.01171875	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
accuracy	0.05078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	1.199050301484807	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

196.0ms	121×	0	exit
91.0ms	73×	1	valid
68.0ms	54×	2	valid
63.0ms	8×	0	valid

Compiler

Compiled 656 to 92 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

const: 73.0ms (38% of total)

ival-exp: 33.0ms (17.2% of total)

ival-mult: 30.0ms (15.6% of total)

adjust: 13.0ms (6.8% of total)

ival-pow: 11.0ms (5.7% of total)

ival-sin: 9.0ms (4.7% of total)

ival-add: 8.0ms (4.2% of total)

ival-pow2: 5.0ms (2.6% of total)

ival-sub: 5.0ms (2.6% of total)

ival-cosh: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series40.0ms (0.4%)

Memory

11.0MiB live, 45.9MiB allocated

Counts

22 → 92

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))

Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* 1/2 (/ re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (/ 1 (+ (exp im) (/ 1 (exp im)))))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/12 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/2 (/ 1 (+ (exp im) (/ 1 (exp im)))))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/12 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/2 (/ 1 (+ (exp im) (/ 1 (exp im)))))))
(* 1/2 (/ (* re (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* 1/2 (/ (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
1/2
(+ 1/2 (* -1/4 (pow im 2)))
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4)))
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4)))
(* 1/4 (sin re))
(+ (* -1/8 (* (pow im 2) (sin re))) (* 1/4 (sin re)))
(+ (* 1/4 (sin re)) (* (pow im 2) (+ (* -1/4 (* (pow im 2) (+ (* -1/4 (sin re)) (* 1/24 (sin re))))) (* -1/8 (sin re)))))
(+ (* 1/4 (sin re)) (* (pow im 2) (+ (* -1/8 (sin re)) (* (pow im 2) (+ (* -1/4 (* (pow im 2) (+ (* -1/2 (+ (* -1/4 (sin re)) (* 1/24 (sin re)))) (+ (* -1/48 (sin re)) (* 1/720 (sin re)))))) (* -1/4 (+ (* -1/4 (sin re)) (* 1/24 (sin re)))))))))
(* im (+ (* -1 (sin re)) (* 1/4 (* (pow im 2) (- (* -8/3 (sin re)) (* -2 (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))) (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re))))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -16/315 (sin re)) (+ (* -1/180 (sin re)) (+ (* 1/24 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* 1/2 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))) (* 1/4 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))))
(* -4 im)
(* im (- (* -8/3 (pow im 2)) 4))
(* im (- (* (pow im 2) (- (* -8/15 (pow im 2)) 8/3)) 4))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -16/315 (pow im 2)) 8/15)) 8/3)) 4))
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)
1
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(- (exp (neg im)) (exp im))
(/ 1 (+ (exp im) (/ 1 (exp im))))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 6) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/60 (pow im 5))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(exp (neg im))
(exp im)
(/ 1 (pow (exp im) 2))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(exp (* -1 im))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	im	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (pow (* 2 (cosh im)) -1) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2)) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (- (pow (exp im) -2) (pow (exp im) 2)) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (exp (neg im)) (exp im) (pow (exp im) -2))
7.0ms	im	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (pow (* 2 (cosh im)) -1) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2)) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (- (pow (exp im) -2) (pow (exp im) 2)) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (exp (neg im)) (exp im) (pow (exp im) -2))
6.0ms	im	@	-inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (pow (* 2 (cosh im)) -1) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2)) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (- (pow (exp im) -2) (pow (exp im) 2)) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (exp (neg im)) (exp im) (pow (exp im) -2))
4.0ms	re	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (pow (* 2 (cosh im)) -1) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2)) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (- (pow (exp im) -2) (pow (exp im) 2)) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (exp (neg im)) (exp im) (pow (exp im) -2))
4.0ms	re	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (pow (* 2 (cosh im)) -1) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2)) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (- (pow (exp im) -2) (pow (exp im) 2)) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) (+ (* -1/60 (* im im)) -1/3) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (exp (neg im)) (exp im) (pow (exp im) -2))

simplify229.0ms (2.3%)

Memory

24.7MiB live, 246.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	1461
1	1145	1382
2	3677	1235
0	8086	1139

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 91

Calls

Call 1

Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* 1/2 (/ re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (/ 1 (+ (exp im) (/ 1 (exp im)))))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/12 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/2 (/ 1 (+ (exp im) (/ 1 (exp im)))))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/12 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/2 (/ 1 (+ (exp im) (/ 1 (exp im)))))))
(* 1/2 (/ (* re (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* 1/2 (/ (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
1/2
(+ 1/2 (* -1/4 (pow im 2)))
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4)))
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4)))
(* 1/4 (sin re))
(+ (* -1/8 (* (pow im 2) (sin re))) (* 1/4 (sin re)))
(+ (* 1/4 (sin re)) (* (pow im 2) (+ (* -1/4 (* (pow im 2) (+ (* -1/4 (sin re)) (* 1/24 (sin re))))) (* -1/8 (sin re)))))
(+ (* 1/4 (sin re)) (* (pow im 2) (+ (* -1/8 (sin re)) (* (pow im 2) (+ (* -1/4 (* (pow im 2) (+ (* -1/2 (+ (* -1/4 (sin re)) (* 1/24 (sin re)))) (+ (* -1/48 (sin re)) (* 1/720 (sin re)))))) (* -1/4 (+ (* -1/4 (sin re)) (* 1/24 (sin re)))))))))
(* im (+ (* -1 (sin re)) (* 1/4 (* (pow im 2) (- (* -8/3 (sin re)) (* -2 (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))) (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re))))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -16/315 (sin re)) (+ (* -1/180 (sin re)) (+ (* 1/24 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* 1/2 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))) (* 1/4 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))))
(* -4 im)
(* im (- (* -8/3 (pow im 2)) 4))
(* im (- (* (pow im 2) (- (* -8/15 (pow im 2)) 8/3)) 4))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -16/315 (pow im 2)) 8/15)) 8/3)) 4))
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)
1
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(- (exp (neg im)) (exp im))
(/ 1 (+ (exp im) (/ 1 (exp im))))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 6) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/60 (pow im 5))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(exp (neg im))
(exp im)
(/ 1 (pow (exp im) 2))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(exp (* -1 im))

Outputs
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(.f64 (fma.f64 (.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 re re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (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)
(* 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 (* im re))
(*.f64 (neg.f64 im) re)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))) re)
(* 1/2 (/ re (+ (exp im) (/ 1 (exp im)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (+ (* -1/12 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (/ 1 (+ (exp im) (/ 1 (exp im)))))))
(.f64 (fma.f64 (.f64 re (/.f64 re (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/12 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/2 (/ 1 (+ (exp im) (/ 1 (exp im)))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.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) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/12 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/2 (/ 1 (+ (exp im) (/ 1 (exp im)))))))
(.f64 (fma.f64 (fma.f64 (.f64 re (/.f64 re (+.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 #s(literal -1/12 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
(* 1/2 (/ (* re (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) re))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))
(.f64 (.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.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 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.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 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) re)))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.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 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.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)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* 1/2 (/ (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(.f64 (fma.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (.f64 im im) (neg.f64 (sin.f64 re))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (sin.f64 re) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(* -1 im)
(neg.f64 im)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow im 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(+ 1/2 (* (pow im 2) (- (* 5/48 (pow im 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 5/48 binary64) (.f64 im im) #s(literal -1/4 binary64)) (.f64 im im) #s(literal 1/2 binary64))
(+ 1/2 (* (pow im 2) (- (* (pow im 2) (+ 5/48 (* -61/1440 (pow im 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/1440 binary64) (.f64 im im) #s(literal 5/48 binary64)) (.f64 im im) #s(literal -1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(* 1/4 (sin re))
(*.f64 #s(literal 1/4 binary64) (sin.f64 re))
(+ (* -1/8 (* (pow im 2) (sin re))) (* 1/4 (sin re)))
(.f64 (sin.f64 re) (fma.f64 #s(literal -1/8 binary64) (.f64 im im) #s(literal 1/4 binary64)))
(+ (* 1/4 (sin re)) (* (pow im 2) (+ (* -1/4 (* (pow im 2) (+ (* -1/4 (sin re)) (* 1/24 (sin re))))) (* -1/8 (sin re)))))
(fma.f64 (fma.f64 (.f64 (.f64 (sin.f64 re) #s(literal 5/96 binary64)) im) im (.f64 #s(literal -1/8 binary64) (sin.f64 re))) (.f64 im im) (*.f64 #s(literal 1/4 binary64) (sin.f64 re)))
(+ (* 1/4 (sin re)) (* (pow im 2) (+ (* -1/8 (sin re)) (* (pow im 2) (+ (* -1/4 (* (pow im 2) (+ (* -1/2 (+ (* -1/4 (sin re)) (* 1/24 (sin re)))) (+ (* -1/48 (sin re)) (* 1/720 (sin re)))))) (* -1/4 (+ (* -1/4 (sin re)) (* 1/24 (sin re)))))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 re) #s(literal 61/720 binary64))) (.f64 im im) (.f64 (sin.f64 re) #s(literal 5/96 binary64))) (.f64 (sin.f64 re) (fma.f64 #s(literal -1/8 binary64) (.f64 im im) #s(literal 1/4 binary64))))
(* im (+ (* -1 (sin re)) (* 1/4 (* (pow im 2) (- (* -8/3 (sin re)) (* -2 (sin re)))))))
(.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))) (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (sin.f64 re) #s(literal -1/30 binary64)) #s(literal 1/4 binary64)) im) im (.f64 #s(literal -1/6 binary64) (sin.f64 re))) (.f64 im im) (neg.f64 (sin.f64 re))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -16/315 (sin re)) (+ (* -1/180 (sin re)) (+ (* 1/24 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* 1/2 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))) (* 1/4 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 (sin.f64 re) #s(literal -11/630 binary64) (.f64 (.f64 (sin.f64 re) #s(literal -1/30 binary64)) #s(literal -1/2 binary64))) (.f64 im im) (.f64 (sin.f64 re) #s(literal -1/30 binary64))) #s(literal 1/4 binary64)) (.f64 (sin.f64 re) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)
(* -4 im)
(*.f64 #s(literal -4 binary64) im)
(* im (- (* -8/3 (pow im 2)) 4))
(.f64 (fma.f64 #s(literal -8/3 binary64) (.f64 im im) #s(literal -4 binary64)) im)
(* im (- (* (pow im 2) (- (* -8/15 (pow im 2)) 8/3)) 4))
(.f64 (fma.f64 (fma.f64 #s(literal -8/15 binary64) (.f64 im im) #s(literal -8/3 binary64)) (*.f64 im im) #s(literal -4 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -16/315 (pow im 2)) 8/15)) 8/3)) 4))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16/315 binary64) (.f64 im im) #s(literal -8/15 binary64)) (.f64 im im) #s(literal -8/3 binary64)) (.f64 im im) #s(literal -4 binary64)) im)
-1/3
#s(literal -1/3 binary64)
(- (* -1/60 (pow im 2)) 1/3)
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
-2
#s(literal -2 binary64)
(- (* -1/3 (pow im 2)) 2)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
1
#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))
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* -2 im))
(fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))
(+ 1 (* im (- (* 2 im) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) im #s(literal -2 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) im #s(literal 2 binary64)) im #s(literal -2 binary64)) im #s(literal 1 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(/ 1 (+ (exp im) (/ 1 (exp im))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(* -1/2520 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 im im))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64)))
(* -1/2520 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 im im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)))
(* (pow im 6) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (-.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 6 binary64)))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1/60 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal -1 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp im)
(exp.f64 im)
(/ 1 (pow (exp im) 2))
(exp.f64 (-.f64 (neg.f64 im) im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(.f64 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 im im)))) (pow.f64 im #s(literal 5 binary64)))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite231.0ms (2.3%)

Memory

-53.8MiB live, 264.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	261
0	80	261
1	276	247
2	1728	245
0	8427	245

Stop Event

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

Counts

22 → 473

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
(exp.f64 im)
(pow.f64 (exp.f64 im) #s(literal -2 binary64))

Outputs
(.f64 (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (sin.f64 re))
(.f64 (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)))
(.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) (sin.f64 re))
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(.f64 (.f64 (sin.f64 re) #s(literal -1 binary64)) im)
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 (sin.f64 re) (neg.f64 im))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im (sin.f64 re)) (.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (.f64 im (sin.f64 re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 im (sin.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 im (sin.f64 re)) (.f64 im (sin.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re))))))
(neg.f64 (*.f64 im (sin.f64 re)))
(-.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) (sin.f64 re)))
(.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im im #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 im #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 im))
(/.f64 (neg.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (neg.f64 (fma.f64 im im #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 im im)) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(/.f64 (neg.f64 (*.f64 im im)) im)
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 im im #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im im #s(literal 0 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 im im) im))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 im im #s(literal 0 binary64))) (/.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 im im #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 #s(literal 0 binary64) im)
(+.f64 (log.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64))))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(log.f64 (exp.f64 (neg.f64 im)))
(.f64 (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (sin.f64 re))
(.f64 (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (sin.f64 re)))
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (.f64 (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(.f64 (.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) (sin.f64 re)))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))) (-.f64 (.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)))) (.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))) (-.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)))))
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(/.f64 (neg.f64 (.f64 im (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 im (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (*.f64 #s(literal -2 binary64) im)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) im) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64)) im) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (*.f64 #s(literal -2 binary64) im))))
(/.f64 (.f64 im (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal 2 binary64)))
(/.f64 (.f64 im (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (*.f64 #s(literal -2 binary64) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (.f64 #s(literal -2 binary64) im))) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal 2 binary64)) (.f64 im (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (.f64 #s(literal -2 binary64) im))) (.f64 im (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64)))))
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) im) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im) im))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) im) (.f64 im (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im)))
(fma.f64 #s(literal 2 binary64) (neg.f64 im) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) im))
(fma.f64 #s(literal 2 binary64) (neg.f64 im) (.f64 im (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im)))
(fma.f64 #s(literal -2 binary64) im (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) im))
(fma.f64 #s(literal -2 binary64) im (.f64 im (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im)))
(fma.f64 im (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) (.f64 #s(literal -2 binary64) im))
(fma.f64 im #s(literal -2 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) im))
(fma.f64 im #s(literal -2 binary64) (.f64 im (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) im) (*.f64 #s(literal -2 binary64) im))
(+.f64 (.f64 im (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im)) (*.f64 #s(literal -2 binary64) im))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im) im))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 im (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im)))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 im)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 (neg.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) im)
(pow.f64 (sqrt.f64 (exp.f64 im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 im) #s(literal 1 binary64))
(/.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 (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 2 binary64) im)))
(exp.f64 im)
(*.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) (sqrt.f64 (exp.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) (sqrt.f64 (exp.f64 im))))
(*.f64 (/.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 im))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 im))) (/.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 im))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 im)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 im)) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))
(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) im)
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) im)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) im))
(pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
(pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))
(/.f64 (neg.f64 (exp.f64 (neg.f64 im))) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) im) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) im))

eval134.0ms (1.3%)

Memory: -3.7MiB live, 154.2MiB allocated
Compiler: Compiled 22 923 to 2 492 computations (89.1% saved)

prune25.0ms (0.2%)

Memory

21.5MiB live, 60.8MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	621	16	637
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	626	20	646

Accuracy

99.9%

Counts

646 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.2%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
	16.9%	(.f64 (-.f64 #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
✓	66.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	65.0%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
✓	91.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	89.7%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	51.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal -2 binary64)) im)))
▶	47.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))))
	59.1%	(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	56.0%	(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	59.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	51.0%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	50.5%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
▶	56.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	53.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	81.1%	#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
✓	52.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
	34.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
	37.8%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
▶	30.9%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))

Compiler

Compiled 1 080 to 774 computations (28.3% saved)

simplify164.0ms (1.6%)

Memory

10.2MiB live, 131.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))))
cost-diff	7872	(.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
cost-diff	0	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(neg.f64 im)
cost-diff	0	(*.f64 (neg.f64 im) re)
cost-diff	0	#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
cost-diff	0	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	61	519
0	97	509
1	161	509
2	288	509
3	614	509
4	1272	509
5	1999	509
6	2790	509
7	3944	497
8	5401	497
9	7373	497
0	8043	497

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(*.f64 #s(literal -1/60 binary64) im)
#s(literal -1/60 binary64)
im
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
(*.f64 (neg.f64 im) re)
(neg.f64 im)
im
re
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(exp.f64 im)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))
(.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))
(-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im))
#s(literal -1/60 binary64)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 im im))
#s(literal 2 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
(pow.f64 im #s(literal 5 binary64))
#s(literal 5 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.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
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(*.f64 #s(literal -1/60 binary64) im)
#s(literal -1/60 binary64)
im
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
(*.f64 (neg.f64 im) re)
(neg.f64 im)
im
re
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(exp.f64 im)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))))
(.f64 #s(approx (- (exp (neg im)) (exp im)) #s(approx ( (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im))) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.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
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))))
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)))
#s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im))
(.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))
(.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)
(-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im))
(-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) im) im))
#s(literal -1/60 binary64)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) im) im)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal -1/3 binary64)) im)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal -1/3 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 im im))
#s(literal 2 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
(pow.f64 im #s(literal 5 binary64))
#s(literal 5 binary64)

localize443.0ms (4.4%)

Memory

-16.2MiB live, 295.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
accuracy	0.35449859890259944	(/.f64 #s(literal 2 binary64) (*.f64 im im))
accuracy	6.466006182974384	#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))))
accuracy	26.733655910908755	(.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))
accuracy	0.05078125	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
accuracy	30.015459521697196	(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
accuracy	31.145529980214103	#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
accuracy	31.788745585159496	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
accuracy	0.078125	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	5.166149745682956	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	31.788745585159496	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy	0	(*.f64 (neg.f64 im) re)
accuracy	0	(neg.f64 im)
accuracy	30.44776810865465	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
accuracy	31.65064484950228	#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
accuracy	0.05078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.0703125	(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
accuracy	0.10546875	(*.f64 #s(literal -1/60 binary64) im)
accuracy	6.466006182974384	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))

Samples

127.0ms	54×	2	valid
87.0ms	129×	0	valid
61.0ms	73×	1	valid

Compiler

Compiled 858 to 115 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-mult: 60.0ms (25.3% of total)

adjust: 57.0ms (24.1% of total)

const: 53.0ms (22.4% of total)

ival-exp: 29.0ms (12.3% of total)

ival-add: 13.0ms (5.5% of total)

ival-div: 7.0ms (3% of total)

ival-sin: 7.0ms (3% of total)

ival-sub: 5.0ms (2.1% of total)

ival-pow: 4.0ms (1.7% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series80.0ms (0.8%)

Memory

1.6MiB live, 40.2MiB allocated

Counts

24 → 59

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
(*.f64 (neg.f64 im) re)
(neg.f64 im)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
(.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))))
(*.f64 #s(literal -1/60 binary64) im)
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 im im))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)

Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(* -1/60 im)
-1/3
(- (* -1/60 (pow im 2)) 1/3)
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
1
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(/ 2 (pow im 2))
(/ 2 (pow im 3))
(/ (+ 2 (* 1/3 (pow im 2))) (pow im 3))
(- (exp (neg im)) (exp im))
(* -1/60 (pow im 5))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(exp (neg im))
(/ 1/3 im)
(/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(exp (* -1 im))

Calls

6 calls:

Time	Variable		Point	Expression
62.0ms	im	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (- -1/60 (/ (/ (+ (/ 2 (* im im)) 1/3) im) im)) (pow im 5)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1/60 im) (+ (* (* -1/60 im) im) -1/3) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (exp (neg im)) (- (exp (neg im)) (exp im)) (/ 2 (* im im)) (/ (+ (/ 2 (* im im)) 1/3) im))
9.0ms	im	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (- -1/60 (/ (/ (+ (/ 2 (* im im)) 1/3) im) im)) (pow im 5)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1/60 im) (+ (* (* -1/60 im) im) -1/3) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (exp (neg im)) (- (exp (neg im)) (exp im)) (/ 2 (* im im)) (/ (+ (/ 2 (* im im)) 1/3) im))
3.0ms	im	@	-inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (- -1/60 (/ (/ (+ (/ 2 (* im im)) 1/3) im) im)) (pow im 5)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1/60 im) (+ (* (* -1/60 im) im) -1/3) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (exp (neg im)) (- (exp (neg im)) (exp im)) (/ 2 (* im im)) (/ (+ (/ 2 (* im im)) 1/3) im))
2.0ms	re	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (- -1/60 (/ (/ (+ (/ 2 (* im im)) 1/3) im) im)) (pow im 5)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1/60 im) (+ (* (* -1/60 im) im) -1/3) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (exp (neg im)) (- (exp (neg im)) (exp im)) (/ 2 (* im im)) (/ (+ (/ 2 (* im im)) 1/3) im))
2.0ms	re	@	-inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (- -1/60 (/ (/ (+ (/ 2 (* im im)) 1/3) im) im)) (pow im 5)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1/60 im) (+ (* (* -1/60 im) im) -1/3) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (exp (neg im)) (- (exp (neg im)) (exp im)) (/ 2 (* im im)) (/ (+ (/ 2 (* im im)) 1/3) im))

simplify234.0ms (2.3%)

Memory

21.5MiB live, 183.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	650
1	585	612
2	1801	594
3	4189	582
0	8286	536

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(sin re)
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(* -1/60 im)
-1/3
(- (* -1/60 (pow im 2)) 1/3)
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
1
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(/ 2 (pow im 2))
(/ 2 (pow im 3))
(/ (+ 2 (* 1/3 (pow im 2))) (pow im 3))
(- (exp (neg im)) (exp im))
(* -1/60 (pow im 5))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(exp (neg im))
(/ 1/3 im)
(/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(exp (* -1 im))

Outputs
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) 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 (* im re))
(*.f64 (neg.f64 im) re)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(.f64 (fma.f64 (.f64 im (fma.f64 #s(literal -1/120 binary64) (.f64 re re) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) (.f64 (neg.f64 (sin.f64 re)) im))
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(* -1 im)
(neg.f64 im)
(* -1/60 im)
(*.f64 #s(literal -1/60 binary64) im)
-1/3
#s(literal -1/3 binary64)
(- (* -1/60 (pow im 2)) 1/3)
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
-1/60
#s(literal -1/60 binary64)
(- (* -1/2520 (pow im 2)) 1/60)
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
(fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
1
#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))
(/ 2 (pow im 2))
(/.f64 #s(literal 2 binary64) (*.f64 im im))
(/ 2 (pow im 3))
(/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64)))
(/ (+ 2 (* 1/3 (pow im 2))) (pow im 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 im im) #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/60 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 im im))) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 im im))) im) im) #s(literal 1/60 binary64)) (pow.f64 im #s(literal 5 binary64)))
(* -1/60 (pow im 2))
(.f64 (.f64 #s(literal -1/60 binary64) im) im)
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1/2520 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 im im))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 im im))) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64)))
(exp (neg im))
(exp.f64 (neg.f64 im))
(/ 1/3 im)
(/.f64 #s(literal 1/3 binary64) im)
(/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) im)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal 1/60 binary64))) (pow.f64 im #s(literal 5 binary64)))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite245.0ms (2.4%)

Memory

-8.2MiB live, 109.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	337
0	97	333
1	332	333
2	1992	333
0	8835	329

Stop Event

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

Counts

24 → 267

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
(*.f64 (neg.f64 im) re)
(neg.f64 im)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
(.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))))
(*.f64 #s(literal -1/60 binary64) im)
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 im im))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im)

Outputs
(.f64 (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (sin.f64 re))
(.f64 (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) (sin.f64 re)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
(.f64 (.f64 re #s(literal -1 binary64)) im)
(.f64 #s(literal -1 binary64) (.f64 im re))
(*.f64 (neg.f64 im) re)
(*.f64 im (neg.f64 re))
(*.f64 re (neg.f64 im))
(neg.f64 (*.f64 im re))
(-.f64 #s(literal 0 binary64) (*.f64 im re))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 im #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(/.f64 (neg.f64 (*.f64 (neg.f64 im) im)) (neg.f64 (+.f64 #s(literal 0 binary64) im)))
(/.f64 (*.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im))
(neg.f64 (log.f64 (/.f64 (exp.f64 im) #s(literal 1 binary64))))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 im im (.f64 #s(literal 0 binary64) im)))) (/.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 im im (.f64 #s(literal 0 binary64) im)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) im)) (/.f64 (*.f64 im im) (+.f64 #s(literal 0 binary64) im)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (exp.f64 im) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(log.f64 (exp.f64 (neg.f64 im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64)))) (.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 im)) #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64)))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))))) (.f64 (.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64)))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (-.f64 (.f64 (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im)))) (.f64 (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) (neg.f64 (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (neg.f64 (.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))))
(/.f64 (.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))))
(fma.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))
(+.f64 (.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64)))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))
(*.f64 (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) #s(literal -1 binary64))
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eval166.0ms (1.7%)

Memory: -31.7MiB live, 61.3MiB allocated
Compiler: Compiled 14 343 to 1 961 computations (86.3% saved)

prune49.0ms (0.5%)

Memory

5.1MiB live, 44.0MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	323	10	333
Fresh	3	9	12
Picked	1	4	5
Done	0	3	3
Total	327	26	353

Accuracy

99.9%

Counts

353 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.2%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
	16.9%	(.f64 (-.f64 #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
✓	66.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	65.0%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
✓	91.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
✓	89.7%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	51.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal -2 binary64)) im)))
✓	47.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))))
	59.1%	(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	56.0%	(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	59.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	51.0%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	50.4%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
✓	56.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
▶	56.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	56.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
▶	53.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	56.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	53.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	81.1%	#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
▶	89.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
✓	52.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
	34.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
	42.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
▶	37.8%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
✓	30.9%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))

Compiler

Compiled 1 356 to 972 computations (28.3% saved)

simplify192.0ms (1.9%)

Memory

23.0MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 (sin.f64 re) im)
cost-diff	0	#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	128	(+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64))
cost-diff	0	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))
cost-diff	0	(.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))
cost-diff	0	#s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
cost-diff	0	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
cost-diff	0	(sin.f64 re)
cost-diff	0	(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	467
0	98	467
1	202	465
2	488	463
3	1309	459
4	3889	456
5	7777	456
0	8061	450

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(sin.f64 re)
re
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 im im)
im
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
#s(literal -1/120 binary64)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))
(.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)
(.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))
im
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))
(*.f64 re re)
re
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(*.f64 #s(literal -1/60 binary64) im)
#s(literal -1/60 binary64)
im
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(*.f64 (sin.f64 re) im)
(sin.f64 re)
re
im
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)

Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)) (sin.f64 re)))
(.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)) (sin.f64 re))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re))
(sin.f64 re)
re
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))
(*.f64 im im)
im
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
#s(literal -1/120 binary64)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 re)) im)))
#s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))
#s(approx (* (neg im) (sin re)) (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 re)) im))
(.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 re)) im)
(.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
im
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
(*.f64 re re)
re
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(*.f64 #s(literal -1/60 binary64) im)
#s(literal -1/60 binary64)
im
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (sin.f64 re)))
(.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (sin.f64 re))
(*.f64 (sin.f64 re) im)
(sin.f64 re)
re
im
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)

localize412.0ms (4.1%)

Memory

-7.7MiB live, 387.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))
accuracy	0.04296875	(*.f64 (sin.f64 re) im)
accuracy	0.17578125	(*.f64 #s(literal -1/6 binary64) im)
accuracy	1.3026235854109682	#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
accuracy	0.05078125	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.0625	(.f64 #s(literal -1/2520 binary64) (.f64 im im))
accuracy	1.199050301484807	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	17.13709607994031	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy	0.046875	(*.f64 #s(literal -1/60 binary64) im)
accuracy	0.05078125	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	1.2527927066806779	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	17.13709607994031	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy	0.08822250976844202	(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))
accuracy	1.4989981800766137	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
accuracy	3.5985971143805253	(.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))
accuracy	17.172818293274023	#s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))
accuracy	0.0078125	(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
accuracy	0.01953125	(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.046875	(.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
accuracy	1.2517651039337334	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))

Samples

105.0ms	121×	0	exit
86.0ms	73×	1	valid
79.0ms	54×	2	valid
4.0ms	8×	0	valid

Compiler

Compiled 817 to 127 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-mult: 63.0ms (27.2% of total)

ival-add: 43.0ms (18.6% of total)

const: 42.0ms (18.2% of total)

ival-exp: 23.0ms (9.9% of total)

adjust: 16.0ms (6.9% of total)

ival-pow: 14.0ms (6.1% of total)

ival-sub: 13.0ms (5.6% of total)

ival-sin: 7.0ms (3% of total)

ival-pow2: 5.0ms (2.2% of total)

ival-cosh: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series37.0ms (0.4%)

Memory

19.4MiB live, 58.1MiB allocated

Counts

24 → 98

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(sin.f64 re)
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))
(.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (sin.f64 re) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/60 binary64) im)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(*.f64 #s(literal -1/6 binary64) im)
(.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))

Outputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* re (- (+ (* -1/6 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))) 1))
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* 1/120 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))) 1))
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))) 1))
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 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 im)
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
-1
(- (* 1/6 (pow re 2)) 1)
(* 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 (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))))))
(* im re)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(* im (* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* 1/120 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))))))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(sin re)
(* -1 (* im (sin re)))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* 1/6 (pow re 2))
(* (pow re 2) (- 1/6 (/ 1 (pow re 2))))
(* 1/2 (sin re))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* im (sin re))
(* im (* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 (sin re))
(+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))
(+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(* im (- (* 1/6 (pow re 2)) 1))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(* im (+ (* -1 (sin re)) (* 1/4 (* (pow im 2) (- (* -8/3 (sin re)) (* -2 (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))) (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re))))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -16/315 (sin re)) (+ (* -1/180 (sin re)) (+ (* 1/24 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* 1/2 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))) (* 1/4 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))))
-1/6
(- (* -1/120 (pow im 2)) 1/6)
(* -1/60 im)
(* -1/2520 (pow im 2))
(* -1/6 im)
(* -1/120 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(* (pow im 4) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(* -1/120 (pow im 4))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(- (exp (neg im)) (exp im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/120 (* (pow im 5) (sin re)))
(* (pow im 5) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(* (pow im 5) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(* -1/120 (pow im 2))
(* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* -1/6 (* (pow im 3) (sin re)))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (* 1/6 (/ (sin re) (pow im 2))))))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4))))))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	re	@	-inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* im (+ (* (* re re) 1/6) -1)) (+ (* (* re re) 1/6) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (* (sin re) im) (+ (* (* -1/6 im) im) -1) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (+ (* (* im im) -1/120) -1/6) (* -1/60 im) (- (exp (neg im)) (exp im)) (* -1/2520 (* im im)) (* -1/6 im) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)))
5.0ms	im	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* im (+ (* (* re re) 1/6) -1)) (+ (* (* re re) 1/6) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (* (sin re) im) (+ (* (* -1/6 im) im) -1) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (+ (* (* im im) -1/120) -1/6) (* -1/60 im) (- (exp (neg im)) (exp im)) (* -1/2520 (* im im)) (* -1/6 im) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)))
5.0ms	re	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* im (+ (* (* re re) 1/6) -1)) (+ (* (* re re) 1/6) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (* (sin re) im) (+ (* (* -1/6 im) im) -1) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (+ (* (* im im) -1/120) -1/6) (* -1/60 im) (- (exp (neg im)) (exp im)) (* -1/2520 (* im im)) (* -1/6 im) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)))
5.0ms	im	@	-inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* im (+ (* (* re re) 1/6) -1)) (+ (* (* re re) 1/6) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (* (sin re) im) (+ (* (* -1/6 im) im) -1) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (+ (* (* im im) -1/120) -1/6) (* -1/60 im) (- (exp (neg im)) (exp im)) (* -1/2520 (* im im)) (* -1/6 im) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)))
4.0ms	im	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* im (+ (* (* re re) 1/6) -1)) (+ (* (* re re) 1/6) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (* (sin re) im) (+ (* (* -1/6 im) im) -1) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (+ (* (* im im) -1/120) -1/6) (* -1/60 im) (- (exp (neg im)) (exp im)) (* -1/2520 (* im im)) (* -1/6 im) (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)))

simplify216.0ms (2.2%)

Memory

-16.5MiB live, 209.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	378	1843
1	1223	1717
2	4259	1462
3	7710	1461
0	8306	1348

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

Calls

Call 1

Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* re (- (+ (* -1/6 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))) 1))
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* 1/120 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))) 1))
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))) 1))
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 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 im)
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
-1
(- (* 1/6 (pow re 2)) 1)
(* 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 (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))))))
(* im re)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(* im (* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* 1/120 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))))))
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(sin re)
(* -1 (* im (sin re)))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* 1/6 (pow re 2))
(* (pow re 2) (- 1/6 (/ 1 (pow re 2))))
(* 1/2 (sin re))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* im (sin re))
(* im (* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 (sin re))
(+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))
(+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(* im (- (* 1/6 (pow re 2)) 1))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(* im (+ (* -1 (sin re)) (* 1/4 (* (pow im 2) (- (* -8/3 (sin re)) (* -2 (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))) (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re))))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -16/315 (sin re)) (+ (* -1/180 (sin re)) (+ (* 1/24 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* 1/2 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))) (* 1/4 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))))
-1/6
(- (* -1/120 (pow im 2)) 1/6)
(* -1/60 im)
(* -1/2520 (pow im 2))
(* -1/6 im)
(* -1/120 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(* (pow im 4) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(* -1/120 (pow im 4))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(- (exp (neg im)) (exp im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/120 (* (pow im 5) (sin re)))
(* (pow im 5) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(* (pow im 5) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(* -1/120 (pow im 2))
(* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(* -1/6 (* (pow im 3) (sin re)))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (* 1/6 (/ (sin re) (pow im 2))))))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4))))))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))

Outputs
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(.f64 (fma.f64 (.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 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (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 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)
(* re (- (+ (* -1/6 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))) 1))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* 1/120 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))) 1))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal -1 binary64))) re)
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))) 1))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #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 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 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 (* im re))
(*.f64 (neg.f64 im) re)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (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)) im)) re)
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
-1
#s(literal -1 binary64)
(- (* 1/6 (pow re 2)) 1)
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
(* 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 (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 re #s(literal 1/2 binary64)))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))
(.f64 (.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.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 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.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 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 re #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.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 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.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)
(* im re)
(*.f64 im re)
(* re (+ im (* -1/6 (* im (pow re 2)))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) im) re)
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* 1/120 (* im (pow re 2)))))))
(.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) im) re)
(* re (+ im (* (pow re 2) (+ (* -1/6 im) (* (pow re 2) (+ (* -1/5040 (* im (pow re 2))) (* 1/120 im)))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) re) re (.f64 #s(literal -1/6 binary64) im)) (*.f64 im re))
(* im (* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)) re)
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* 1/120 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (.f64 im (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)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im))) re)
(* im (* re (- (* -1/6 (pow im 2)) 1)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) re)
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* im (- (* -1/6 (pow im 2)) 1))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) re)
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* 1/120 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) re))
(* re (+ (* im (- (* -1/6 (pow im 2)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* -1/6 (pow im 2)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* -1/6 (pow im 2)) 1)))) (* 1/120 (* im (- (* -1/6 (pow im 2)) 1)))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (.f64 im (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 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))) re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re))
(sin re)
(sin.f64 re)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* 1/6 (* im (pow re 2)))
(.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)
(* 1/6 (pow re 2))
(.f64 #s(literal 1/6 binary64) (.f64 re re))
(* (pow re 2) (- 1/6 (/ 1 (pow re 2))))
(.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* im (sin re))
(*.f64 im (sin.f64 re))
(* im (* (sin re) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(.f64 (.f64 im (sin.f64 re)) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)))
(* im (* (sin re) (- (* -1/6 (pow im 2)) 1)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(.f64 (.f64 im (sin.f64 re)) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sin.f64 re) (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64))) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re))) im)
(* -1 (sin re))
(neg.f64 (sin.f64 re))
(+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re))
(+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re))
(- (* -1/6 (pow im 2)) 1)
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))
(* im (- (* 1/6 (pow re 2)) 1))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
-1/60
#s(literal -1/60 binary64)
(- (* -1/2520 (pow im 2)) 1/60)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* im (+ (* -1 (sin re)) (* 1/4 (* (pow im 2) (- (* -8/3 (sin re)) (* -2 (sin re)))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (sin.f64 re))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))) (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (sin.f64 re) #s(literal -1/30 binary64)) #s(literal 1/4 binary64)) im) im (.f64 #s(literal -1/6 binary64) (sin.f64 re))) (.f64 im im) (neg.f64 (sin.f64 re))) im)
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* 1/4 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -16/315 (sin re)) (+ (* -1/180 (sin re)) (+ (* 1/24 (- (* -8/3 (sin re)) (* -2 (sin re)))) (* 1/2 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))) (* 1/4 (- (* -8/15 (sin re)) (+ (* -1/6 (sin re)) (* 1/2 (- (* -8/3 (sin re)) (* -2 (sin re)))))))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 (sin.f64 re) #s(literal -11/630 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 re) #s(literal -1/30 binary64)))) (.f64 im im) (.f64 (sin.f64 re) #s(literal -1/30 binary64))) #s(literal 1/4 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re))) im)
-1/6
#s(literal -1/6 binary64)
(- (* -1/120 (pow im 2)) 1/6)
(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(* -1/60 im)
(*.f64 #s(literal -1/60 binary64) im)
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1/6 im)
(*.f64 #s(literal -1/6 binary64) im)
(* -1/120 (* (pow im 4) (sin re)))
(.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (sin.f64 re))
(* (pow im 4) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(.f64 (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(fma.f64 (neg.f64 (sin.f64 re)) #s(literal 1 binary64) (.f64 (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64))) (pow.f64 im #s(literal 4 binary64))))
(* -1/120 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))
(* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 im im)) #s(literal 1/120 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64)) im) im) #s(literal 1/120 binary64)) (pow.f64 im #s(literal 4 binary64)))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -1/6 (pow im 2))
(.f64 (.f64 #s(literal -1/6 binary64) im) im)
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(* -1/120 (* (pow im 5) (sin re)))
(.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)) (sin.f64 re))
(* (pow im 5) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64))))
(* (pow im 5) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64)) (/.f64 (neg.f64 (sin.f64 re)) (pow.f64 im #s(literal 4 binary64)))))
(* -1/120 (pow im 2))
(.f64 #s(literal -1/120 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(* -1/6 (* (pow im 3) (sin re)))
(.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re))
(* (pow im 3) (+ (* -1 (/ (sin re) (pow im 2))) (* -1/6 (sin re))))
(.f64 (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (* 1/6 (/ (sin re) (pow im 2))))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64))))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64)) (/.f64 (neg.f64 (sin.f64 re)) (pow.f64 im #s(literal 4 binary64)))))
(* -1 (* (pow im 3) (+ (* 1/6 (sin re)) (/ (sin re) (pow im 2)))))
(.f64 (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))

rewrite189.0ms (1.9%)

Memory

-7.0MiB live, 319.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	328
0	98	328
1	361	318
2	2403	318
0	8493	315

Stop Event

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

Counts

24 → 289

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(sin.f64 re)
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))
(.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(*.f64 (sin.f64 re) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/60 binary64) im)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(*.f64 #s(literal -1/6 binary64) im)
(.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))

Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) (sin.f64 re)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) (sin.f64 re))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (neg.f64 (sin.f64 re)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (sin.f64 re))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 (*.f64 im im) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 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 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 (*.f64 im im) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (sin.f64 re) (sin.f64 re)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) (neg.f64 (sin.f64 re)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (neg.f64 (sin.f64 re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 re) (sin.f64 re)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) (neg.f64 (sin.f64 re)))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (sin.f64 re)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 (*.f64 im im) #s(literal -1 binary64)))))
(/.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)))
(/.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 (*.f64 im im) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (sin.f64 re) (sin.f64 re))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) (neg.f64 (sin.f64 re))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (neg.f64 (sin.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 re) (sin.f64 re)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) (neg.f64 (sin.f64 re))))))
(fma.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (neg.f64 (sin.f64 re)))
(fma.f64 (.f64 (sin.f64 re) (.f64 im im)) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 (sin.f64 re)))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re) (neg.f64 (sin.f64 re)))
(fma.f64 (.f64 (sin.f64 re) im) (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) (neg.f64 (sin.f64 re)))
(fma.f64 #s(literal -1 binary64) (sin.f64 re) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)))
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 (*.f64 im im) (sin.f64 re)) (neg.f64 (sin.f64 re)))
(fma.f64 (.f64 im im) (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (sin.f64 re)) (neg.f64 (sin.f64 re)))
(fma.f64 (sin.f64 re) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (neg.f64 (sin.f64 re)))
(fma.f64 (sin.f64 re) #s(literal -1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)))
(fma.f64 im (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) (sin.f64 re)) (neg.f64 (sin.f64 re)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) (neg.f64 (sin.f64 re)))) (/.f64 (.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) (neg.f64 (sin.f64 re)))))
(+.f64 (neg.f64 (sin.f64 re)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) (neg.f64 (sin.f64 re)))
(sin.f64 re)
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 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 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 (*.f64 im im) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 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 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 (.f64 im im) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 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 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))) (.f64 (*.f64 #s(literal -1/6 binary64) im) im)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/1728000 binary64) (pow.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))))
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(fma.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im) (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 (.f64 (.f64 (sin.f64 re) im) im) (.f64 #s(literal -1/6 binary64) im) (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im) (sin.f64 re) (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) (sin.f64 re)) im (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 (neg.f64 (sin.f64 re)) im (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) (.f64 (sin.f64 re) im) (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 im (.f64 (sin.f64 re) im)) (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 (.f64 (sin.f64 re) im) (.f64 (.f64 #s(literal -1/6 binary64) im) im) (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 (.f64 (sin.f64 re) im) #s(literal -1 binary64) (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 re) im) (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) (.f64 (sin.f64 re) im)) (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 (sin.f64 re) (.f64 im (.f64 (.f64 #s(literal -1/6 binary64) im) im)) (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 (sin.f64 re) (neg.f64 im) (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)))
(fma.f64 (neg.f64 im) (sin.f64 re) (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)))
(fma.f64 im (.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 (sin.f64 re) im)) (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 im (.f64 (sin.f64 re) (.f64 (.f64 #s(literal -1/6 binary64) im) im)) (.f64 (neg.f64 (sin.f64 re)) im))
(fma.f64 im (neg.f64 (sin.f64 re)) (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) (.f64 (neg.f64 (sin.f64 re)) im))) (/.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 re)) im) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) (*.f64 (neg.f64 (sin.f64 re)) im))))
(+.f64 (.f64 (neg.f64 (sin.f64 re)) im) (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (*.f64 im im)))
(+.f64 (.f64 (.f64 (.f64 (sin.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) (*.f64 (neg.f64 (sin.f64 re)) im))

eval91.0ms (0.9%)

Memory: 19.7MiB live, 102.2MiB allocated
Compiler: Compiled 16 329 to 1 941 computations (88.1% saved)

prune182.0ms (1.8%)

Memory

-15.2MiB live, 62.9MiB allocated

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	372	15	387
Fresh	1	13	14
Picked	1	4	5
Done	2	5	7
Total	376	37	413

Accuracy

100.0%

Counts

413 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.2%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
	16.9%	(.f64 (-.f64 #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
✓	66.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	65.0%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
✓	91.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	51.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal -2 binary64)) im)))
	59.1%	(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	56.0%	(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	59.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	51.0%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	50.4%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
✓	56.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
✓	56.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	56.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
✓	53.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	56.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	51.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
	81.1%	#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) (sin.f64 re)) im (.f64 (neg.f64 (sin.f64 re)) im)))
✓	81.1%	#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	46.8%	#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) #s(approx (+ (* (* -1/6 im) im) -1) (.f64 (.f64 #s(literal -1/6 binary64) im) im))))
	53.8%	#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	48.0%	#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	51.8%	#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (.f64 (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
	51.8%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (sin.f64 re) (sin.f64 re))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) (neg.f64 (sin.f64 re)))) im))
	89.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
✓	52.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
	53.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
	53.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
	37.8%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
	34.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
	37.8%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
	42.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
✓	37.8%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
	27.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
✓	30.9%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
	43.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
	27.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))

Compiler

Compiled 2 778 to 1 160 computations (58.2% saved)

regimes167.0ms (1.7%)

Memory

-8.2MiB live, 121.2MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) #s(approx (+ (* (* -1/6 im) im) -1) (.f64 (.f64 #s(literal -1/6 binary64) im) im))))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) (sin.f64 re)) im (.f64 (neg.f64 (sin.f64 re)) im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (.f64 (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(.f64 (-.f64 #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (sin.f64 re) (sin.f64 re))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im) im) (sin.f64 re)) (neg.f64 (sin.f64 re)))) im))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

6 calls:

77.0ms	(sin.f64 re)
30.0ms	re
19.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
14.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
14.0ms	im

Results

Accuracy	Segments	Branch
91.8%	1	`re`
99.9%	2	`im`
99.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
91.8%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
91.8%	1	`(sin.f64 re)`
99.9%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes68.0ms (0.7%)

Memory

-4.9MiB live, 33.9MiB allocated

Counts

45 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) #s(approx (+ (* (* -1/6 im) im) -1) (.f64 (.f64 #s(literal -1/6 binary64) im) im))))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) (sin.f64 re)) im (.f64 (neg.f64 (sin.f64 re)) im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (.f64 (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

2 calls:

56.0ms	im
9.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.9%	2	`im`
99.9%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes50.0ms (0.5%)

Memory

-7.4MiB live, 34.4MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) #s(approx (+ (* (* -1/6 im) im) -1) (.f64 (.f64 #s(literal -1/6 binary64) im) im))))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) (sin.f64 re)) im (.f64 (neg.f64 (sin.f64 re)) im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) #s(approx (* (* (sin re) im) (+ (* (* -1/6 im) im) -1)) (.f64 (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) #s(approx (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

2 calls:

12.0ms	im
9.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.6%	2	`im`
99.6%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes72.0ms (0.7%)

Memory

2.1MiB live, 41.2MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) #s(approx (+ (* (* -1/6 im) im) -1) (.f64 (.f64 #s(literal -1/6 binary64) im) im))))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

3 calls:

11.0ms	im
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.2%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
97.3%	3	`im`
91.8%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes10.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) #s(approx (+ (* (* -1/6 im) im) -1) (.f64 (.f64 #s(literal -1/6 binary64) im) im))))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.1%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes10.0ms (0.1%)

Memory

-17.7MiB live, 20.9MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) #s(approx (+ (* (* -1/6 im) im) -1) (.f64 (.f64 #s(literal -1/6 binary64) im) im))))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes9.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) #s(approx (+ (* (* -1/6 im) im) -1) (.f64 (.f64 #s(literal -1/6 binary64) im) im))))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
99.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes10.0ms (0.1%)

Memory

-19.3MiB live, 18.9MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) #s(approx (+ (* (* -1/6 im) im) -1) (.f64 (.f64 #s(literal -1/6 binary64) im) im))))

Outputs

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

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
98.7%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes16.0ms (0.2%)

Memory

35.1MiB live, 35.1MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

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

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

Calls

2 calls:

8.0ms	im
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
86.7%	3	`im`
95.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes49.0ms (0.5%)

Memory

-23.4MiB live, 95.7MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

6 calls:

9.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	im
8.0ms	re
8.0ms	(sin.f64 re)
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
61.4%	2	`im`
63.2%	3	`re`
59.1%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
70.5%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
70.5%	2	`(sin.f64 re)`
70.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes18.0ms (0.2%)

Memory

-1.9MiB live, 37.3MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (*.f64 #s(literal -1/2520 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
70.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
70.3%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes18.0ms (0.2%)

Memory

-5.4MiB live, 36.2MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (*.f64 re re)) #s(literal 1/6 binary64) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (.f64 (neg.f64 im) im) (+.f64 #s(literal 0 binary64) im)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)))
#s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)) re)))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
67.8%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
67.8%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes13.0ms (0.1%)

Memory

26.7MiB live, 26.7MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms	(sin.f64 re)
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
65.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
66.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
66.0%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes12.0ms (0.1%)

Memory

-15.0MiB live, 24.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

3 calls:

5.0ms	(sin.f64 re)
3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
64.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
64.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
64.0%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes19.0ms (0.2%)

Memory

2.6MiB live, 41.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

4.0ms	re
3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(sin.f64 re)
3.0ms	im
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
48.0%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
50.9%	2	`im`
53.7%	3	`re`
60.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
60.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
60.3%	2	`(sin.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes14.0ms (0.1%)

Memory

-7.9MiB live, 31.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
37.8%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
37.8%	1	`im`
37.8%	1	`re`
43.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
43.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
43.3%	2	`(sin.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes4.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

2.0ms	(sin.f64 re)
2.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
43.2%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
43.2%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes12.0ms (0.1%)

Memory

-20.0MiB live, 21.7MiB 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 (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))

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

Calls

6 calls:

6.0ms	re
1.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms	(sin.f64 re)
1.0ms	im
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
30.9%	1	`re`
30.9%	1	`im`
30.9%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
30.9%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
30.9%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
30.9%	1	`(sin.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.38277743911168316	-8.749704073307552e-5

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.38277743911168316	-8.749704073307552e-5

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.328509637731025e+99	-39.45738644059993

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2433559934103244e-14	+inf
0.0ms	-inf	-4.231937612243254e+99

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2433559934103244e-14	+inf
0.0ms	-inf	-4.231937612243254e+99

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2433559934103244e-14	+inf
0.0ms	-inf	-4.231937612243254e+99

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2433559934103244e-14	+inf
0.0ms	-inf	-4.231937612243254e+99

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2433559934103244e-14	+inf
0.0ms	-inf	-4.231937612243254e+99

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2433559934103244e-14	+inf
0.0ms	-4.877979380157916e-183	0.0

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00039361267422693486	3.592596443149401e-303

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00039361267422693486	3.592596443149401e-303

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00039361267422693486	3.592596443149401e-303

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00039361267422693486	3.592596443149401e-303

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00039361267422693486	3.592596443149401e-303

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00039361267422693486	3.592596443149401e-303

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.60214852217631e-5	0.018749514974963768

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00039361267422693486	3.592596443149401e-303

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify41.0ms (0.4%)

Memory

16.5MiB live, 93.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1475
1	219	1475
2	241	1475
3	262	1475
4	273	1475
5	278	1475
6	279	1475

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(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 ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))))
(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 ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) #s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))))
(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 ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))))
(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 ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx ( (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) #s(approx ( (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))))
(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 ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (neg.f64 im) (sin.f64 re))) #s(approx ( (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -4784065733063811/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (neg.f64 im) (sin.f64 re))) #s(approx ( (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) #s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) #s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) #s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) im) re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im re) re) #s(literal 1/6 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im re) re) #s(literal 1/6 binary64))) re))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im re) re) #s(literal 1/6 binary64))) re))) #s(approx ( (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (* 2 (cosh im)) -1) (* (sin re) 1/2))) (.f64 #s(approx ( (sin re) im) (.f64 im re)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im re) re) #s(literal 1/6 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))

Outputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (exp.f64 (neg.f64 im)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (neg.f64 (exp.f64 im)))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re))))
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(if (<=.f64 (sin.f64 re) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))))
(if (<=.f64 (sin.f64 re) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)) im) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im)))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 im re) re) #s(literal 1/6 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (.f64 re im) re) #s(literal 1/6 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im))))

soundness2.0s (20.1%)

Memory

-0.3MiB live, 1 408.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	378	1843
1	1223	1717
2	4259	1462
3	7710	1461
0	8306	1348
0	48	261
0	80	261
1	276	247
2	1728	245
0	8427	245
0	202	650
1	585	612
2	1801	594
3	4189	582
0	8286	536
0	61	337
0	97	333
1	332	333
2	1992	333
0	8835	329
0	62	328
0	98	328
1	361	318
2	2403	318
0	8493	315
0	146	434
1	413	399
2	1136	387
3	3928	366
4	6803	366
0	8425	328
0	10	28
0	17	28
1	42	28
2	237	28
0	2269	28
0	380	1461
1	1145	1382
2	3677	1235
0	8086	1139

Stop Event

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

Compiler

Compiled 2 334 to 938 computations (59.8% saved)

preprocess210.0ms (2.1%)

Memory: 42.8MiB live, 315.6MiB allocated
Remove: (negabs re)
Compiler: Compiled 3 594 to 734 computations (79.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.1s (20.8%)

explain322.0ms (3.2%)

preprocess158.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.5%)

localize79.0ms (0.8%)

series12.0ms (0.1%)

simplify279.0ms (2.8%)

rewrite105.0ms (1%)

eval21.0ms (0.2%)

prune15.0ms (0.2%)

simplify220.0ms (2.2%)

localize470.0ms (4.7%)

series40.0ms (0.4%)

simplify229.0ms (2.3%)

rewrite231.0ms (2.3%)

eval134.0ms (1.3%)

prune25.0ms (0.2%)

simplify164.0ms (1.6%)

localize443.0ms (4.4%)

series80.0ms (0.8%)

simplify234.0ms (2.3%)

rewrite245.0ms (2.4%)

eval166.0ms (1.7%)

prune49.0ms (0.5%)

simplify192.0ms (1.9%)

localize412.0ms (4.1%)

series37.0ms (0.4%)

simplify216.0ms (2.2%)

rewrite189.0ms (1.9%)

eval91.0ms (0.9%)

prune182.0ms (1.8%)

regimes167.0ms (1.7%)

regimes68.0ms (0.7%)

regimes50.0ms (0.5%)

regimes72.0ms (0.7%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes16.0ms (0.2%)

regimes49.0ms (0.5%)

regimes18.0ms (0.2%)

regimes18.0ms (0.2%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes19.0ms (0.2%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify41.0ms (0.4%)

soundness2.0s (20.1%)

preprocess210.0ms (2.1%)

end0.0ms (0%)

Profiling