Metrics for math.exp on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 7 to 7 computations (0% saved)

sample925.0ms (6.3%)

Memory

-51.4MiB live, 1 213.4MiB allocated

Samples

713.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 542.0ms

ival-cos: 413.0ms (76.2% of total)

ival-exp: 71.0ms (13.1% of total)

ival-mult: 50.0ms (9.2% of total)

ival-true: 6.0ms (1.1% of total)

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

Bogosity

explain62.0ms (0.4%)

Memory

8.1MiB live, 126.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (exp.f64 re) (cos.f64 im))`
-	-	`(cos.f64 im)`
-	-	`re`
-	-	`(exp.f64 re)`
-	-	`im`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

34.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

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

ival-cos: 15.0ms (67.2% of total)

ival-exp: 4.0ms (17.9% of total)

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

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

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

preprocess20.0ms (0.1%)

Memory

7.6MiB live, 45.9MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`sub-neg`
32×	`associate-r`
28×	`+-commutative`
28×	`associate-l`
24×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	39	29
2	72	27
3	108	27
4	166	27
5	206	27
6	250	27
7	284	27
8	295	27
9	295	27
0	5	5
0	8	5
1	9	5
0	9	5

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))

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

Symmetry

(abs im)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 im)
cost-diff	0	(exp.f64 re)
cost-diff	0	(*.f64 (exp.f64 re) (cos.f64 im))

Rules

4×	`lower-*.f32`
2×	`lower-cos.f32`
2×	`*-commutative`
2×	`lift-exp.f64`
2×	`lift-cos.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	8	11
1	9	11
0	9	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im

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

localize34.0ms (0.2%)

Memory

-19.2MiB live, 30.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 re)
accuracy	0	(cos.f64 im)
accuracy	0.0078125	(*.f64 (exp.f64 re) (cos.f64 im))

Samples

29.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 5.0ms (56.7% of total)

ival-exp: 2.0ms (22.7% of total)

ival-mult: 2.0ms (22.7% of total)

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

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

series4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())

#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())

#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())

Outputs
#s(alt (cos im) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (cos.f64 im)) (patch (.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(* (exp re) (cos im))
1.0ms	im	@	0	(* (exp re) (cos im))
0.0ms	re	@	0	(* (exp re) (cos im))
0.0ms	re	@	-inf	(* (exp re) (cos im))
0.0ms	im	@	inf	(* (exp re) (cos im))

simplify330.0ms (2.3%)

Memory

36.9MiB live, 377.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 940×	`lower-fma.f64`
17 940×	`lower-fma.f32`
3 878×	`lower-*.f64`
3 878×	`lower-*.f32`
2 422×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	283
1	178	272
2	461	268
3	1054	264
4	1447	264
5	1857	264
6	2380	264
7	2886	264
8	3528	264
9	5578	264
10	7980	264
0	8041	242

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)

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

rewrite58.0ms (0.4%)

Memory

-12.3MiB live, 24.9MiB allocated

Rules

4×	`lower-*.f32`
2×	`lower-cos.f32`
2×	`lift-exp.f64`
2×	`lift-cos.f64`
2×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	9	9
0	9	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

3 → 4

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(cos.f64 im)

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

eval5.0ms (0%)

Memory: 9.5MiB live, 9.5MiB allocated
Compiler: Compiled 384 to 39 computations (89.8% saved)

prune26.0ms (0.2%)

Memory

-25.6MiB live, 11.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Accuracy

100.0%

Counts

53 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	63.0%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	52.6%	(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
▶	74.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	51.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 38 to 25 computations (34.2% saved)

simplify5.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

26×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
8×	`lower-fma.f32`
8×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	81
0	27	81
1	38	81
2	39	81
0	39	81

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.4%)

Memory

12.8MiB live, 90.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 im #s(literal -1/2 binary64))
accuracy	0	(exp.f64 re)
accuracy	0.0078125	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	29.41790053860883	#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0	(+.f64 re #s(literal 1 binary64))
accuracy	0	(cos.f64 im)
accuracy	0.0078125	(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
accuracy	30.321459813189843	#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy	0	(exp.f64 re)
accuracy	16.5835128745694	#s(approx (* (exp re) (cos im)) (exp.f64 re))
accuracy	0	(cos.f64 im)
accuracy	30.871525436954187	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Samples

36.0ms

256×

valid

Compiler

Compiled 56 to 13 computations (76.8% saved)

Precisions

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

ival-cos: 13.0ms (57.9% of total)

ival-mult: 4.0ms (17.8% of total)

ival-exp: 2.0ms (8.9% of total)

ival-add: 2.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

11 → 180

Calls

Call 1

Inputs
#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())
#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (patch (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (patch #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 re #s(literal 1 binary64)) (patch (+.f64 re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (cos im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
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#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow im 2)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (.f64 im #s(literal -1/2 binary64)) (patch (.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(* im -1/2)
0.0ms	im	@	inf	(+ (* im (* im -1/2)) 1)
0.0ms	im	@	-inf	(* im -1/2)
0.0ms	im	@	inf	(* im -1/2)
0.0ms	im	@	0	(+ (* im (* im -1/2)) 1)

simplify293.0ms (2%)

Memory

4.4MiB live, 359.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 314×	`lower-fma.f64`
10 314×	`lower-fma.f32`
4 162×	`lower-*.f64`
4 162×	`lower-*.f32`
1 550×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1076
1	194	1032
2	487	1016
3	1108	1000
4	1606	1000
5	2265	1000
6	3489	1000
7	5694	1000
8	7934	1000
0	8106	925

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 re)
(+ 1 re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* -1/2 (pow im 2)))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)

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

rewrite381.0ms (2.6%)

Memory

-59.0MiB live, 506.7MiB allocated

Rules

7 666×	`lower-fma.f32`
7 664×	`lower-fma.f64`
4 198×	`lower-/.f64`
4 198×	`lower-/.f32`
3 724×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
0	27	68
1	61	68
2	286	68
3	2367	68
0	8402	68

Stop Event

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

Counts

11 → 265

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) re))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (E.f64) re)
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) re)
(*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (fma.f64 re (.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (fma.f64 re (.f64 re (.f64 re re)) (fma.f64 re re #s(literal 1 binary64)))) (+.f64 re #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64)))) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 re (.f64 re (*.f64 re re))) (fma.f64 re re #s(literal 1 binary64))) (+.f64 re #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64))) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))) (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) re)))
(-.f64 (/.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)) (fma.f64 re (.f64 re re) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re (.f64 re (.f64 re re)) (fma.f64 re re #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re (.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re re #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re re #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re))) (/.f64 (.f64 (+.f64 re #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re))))) (fma.f64 (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re)))) (fma.f64 (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64)))) (fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 re re) (fma.f64 re (.f64 re re) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 re re re)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))))
(neg.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) re)))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (+.f64 re #s(literal 1 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))))))
(/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 im im) (-.f64 (.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (-.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))))
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(/.f64 (fma.f64 (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) #s(literal 1/64 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 (*.f64 im im) #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (-.f64 (.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 im im) (-.f64 (.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 im im) (.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) #s(literal 1/64 binary64)))) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))))))
(.f64 (/.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))) (+.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal -1/512 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) #s(literal 1/64 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) #s(literal 1/64 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) (fma.f64 (.f64 im im) (.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 im #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 im #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) im)
(.f64 (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))

eval78.0ms (0.5%)

Memory: -5.9MiB live, 114.6MiB allocated
Compiler: Compiled 10 936 to 1 023 computations (90.6% saved)

prune198.0ms (1.4%)

Memory

4.0MiB live, 130.3MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	459	15	474
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	460	19	479

Accuracy

100.0%

Counts

479 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	25.2%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( im (* im -1/2)) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
	39.7%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	38.2%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	63.4%	(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
✓	52.6%	(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
	33.5%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	36.0%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	33.2%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	74.1%	#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
✓	74.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	51.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	43.0%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	39.6%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
	31.8%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
▶	31.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
▶	32.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	35.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	31.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))

Compiler

Compiled 446 to 257 computations (42.4% saved)

simplify21.0ms (0.1%)

Memory

5.3MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 im im)
cost-diff	0	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (exp re) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
cost-diff	0	(E.f64)
cost-diff	0	#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
cost-diff	64	(pow.f64 (E.f64) re)

Rules

744×	`lower-fma.f32`
730×	`lower-fma.f64`
300×	`lower-*.f32`
294×	`lower-*.f64`
184×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	223
0	50	223
1	101	223
2	225	221
3	408	221
4	506	221
5	521	221
6	522	221
0	522	221

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize142.0ms (1%)

Memory

-19.7MiB live, 219.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
accuracy	0.26953125	(*.f64 im #s(literal -1/720 binary64))
accuracy	29.439779866851158	#s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	30.871525436954187	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.0546875	(.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
accuracy	0.3163646959554224	(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
accuracy	29.338220011652176	#s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
accuracy	30.871525436954187	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
accuracy	0	(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	16.5835128745694	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	23.228722189098793	#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	16.5835128745694	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
accuracy	30.87183218387384	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0	(E.f64)
accuracy	0.05236902643956752	(pow.f64 (E.f64) re)
accuracy	16.5835128745694	#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))

Samples

92.0ms

256×

valid

Compiler

Compiled 144 to 31 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 42.0ms (57.8% of total)

ival-add: 8.0ms (11% of total)

const: 8.0ms (11% of total)

ival-cos: 6.0ms (8.3% of total)

ival-pow: 4.0ms (5.5% of total)

ival-exp: 2.0ms (2.8% of total)

ival-e: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

-2.6MiB live, 33.8MiB allocated

Counts

20 → 288

Calls

Call 1

Inputs
#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (patch (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (log (E)))) (taylor 0 re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ (log (E)) (* 1/2 (* re (pow (log (E)) 2)))))) (taylor 0 re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ (log (E)) (* re (+ (* 1/6 (* re (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))) (taylor 0 re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (pow (E) re) (taylor inf re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (pow (E) re) (taylor inf re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (pow (E) re) (taylor inf re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (pow (E) re) (taylor inf re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (pow (E) re) (taylor -inf re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (pow (E) re) (taylor -inf re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (pow (E) re) (taylor -inf re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (pow (E) re) (taylor -inf re) (#s(alt (pow.f64 (E.f64) re) (patch (pow.f64 (E.f64) re) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) (patch #s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re)) #<representation binary64>) () ())) ())
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#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow im 6)) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4))))) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4))))) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow im 6)) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor 0 im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor 0 im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor 0 im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor 0 im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor inf im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor inf im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor inf im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor inf im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor -inf im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor -inf im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor -inf im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor -inf im) (#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/24 (pow im 2)) 1/2) (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/24 (pow im 2)) 1/2) (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/24 (pow im 2)) 1/2) (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow im 2)) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor 0 im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor 0 im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor 0 im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor 0 im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor inf im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor inf im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor inf im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor inf im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor -inf im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor -inf im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor -inf im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 im) (taylor -inf im) (#s(alt (.f64 im #s(literal -1/720 binary64)) (patch (.f64 im #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/24 (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* -1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* -1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* -1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow im 2)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	im	@	inf	(+ (* (* im im) (+ (* (* im im) (+ (* im (* im -1/720)) 1/24)) -1/2)) 1)
0.0ms	re	@	0	(pow (E) re)
0.0ms	im	@	inf	(* im (+ (* (* im im) 1/24) -1/2))
0.0ms	im	@	inf	(+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1)
0.0ms	im	@	-inf	(* im -1/720)

simplify294.0ms (2%)

Memory

58.4MiB live, 563.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 062×	`lower-fma.f64`
16 062×	`lower-fma.f32`
4 014×	`lower-*.f64`
4 014×	`lower-*.f32`
3 384×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1962
1	377	1871
2	899	1822
3	2324	1778
4	5797	1778
0	8005	1629

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1
(+ 1 (* re (log (E))))
(+ 1 (* re (+ (log (E)) (* 1/2 (* re (pow (log (E)) 2))))))
(+ 1 (* re (+ (log (E)) (* re (+ (* 1/6 (* re (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(pow (E) re)
(pow (E) re)
(pow (E) re)
(pow (E) re)
(pow (E) re)
(pow (E) re)
(pow (E) re)
(pow (E) re)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
1
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* -1/2 im)
(* im (- (* 1/24 (pow im 2)) 1/2))
(* im (- (* 1/24 (pow im 2)) 1/2))
(* im (- (* 1/24 (pow im 2)) 1/2))
(* 1/24 (pow im 3))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 3))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(* -1/720 (pow im 6))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* -1/720 (pow im 6))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
(* -1/720 im)
1/24
(+ 1/24 (* -1/720 (pow im 2)))
(+ 1/24 (* -1/720 (pow im 2)))
(+ 1/24 (* -1/720 (pow im 2)))
(* -1/720 (pow im 2))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* -1/720 (pow im 2))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* re (log (E))))
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ (log (E)) (* 1/2 (* re (pow (log (E)) 2))))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ (log (E)) (* re (+ (* 1/6 (* re (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 1/24 (pow im 4))
(.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im (.f64 im (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (.f64 im (.f64 im (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) #s(literal 1 binary64))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (.f64 im (.f64 im (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) #s(literal 1 binary64))
(* 1/24 (pow im 4))
(.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im (.f64 im (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (.f64 im (.f64 im (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) #s(literal 1 binary64))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (.f64 im (.f64 im (.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) #s(literal 1 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* im (- (* 1/24 (pow im 2)) 1/2))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* im (- (* 1/24 (pow im 2)) 1/2))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* im (- (* 1/24 (pow im 2)) 1/2))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* 1/24 (pow im 3))
(.f64 #s(literal 1/24 binary64) (.f64 im (*.f64 im im)))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* 1/24 (pow im 3))
(.f64 #s(literal 1/24 binary64) (.f64 im (*.f64 im im)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/720 (pow im 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (*.f64 im im))))))
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))
(fma.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1 binary64))
(* -1/720 (pow im 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (*.f64 im im))))))
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))
(fma.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1 binary64))
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* 1/24 (pow im 2))
(.f64 im (.f64 im #s(literal 1/24 binary64)))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* 1/24 (pow im 2))
(.f64 im (.f64 im #s(literal 1/24 binary64)))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
(* -1/720 im)
(*.f64 im #s(literal -1/720 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* -1/720 (pow im 2))
(.f64 im (.f64 im #s(literal -1/720 binary64)))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* -1/720 (pow im 2))
(.f64 im (.f64 im #s(literal -1/720 binary64)))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))

rewrite321.0ms (2.2%)

Memory

-20.3MiB live, 524.8MiB allocated

Rules

5 238×	`lower-*.f32`
5 232×	`lower-*.f64`
4 130×	`lower-/.f64`
4 130×	`lower-/.f32`
4 030×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	195
0	50	195
1	203	193
2	1493	193
0	8265	193

Stop Event

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

Counts

20 → 405

Calls

Call 1

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

Outputs
(exp.f64 re)
(exp.f64 (fma.f64 re #s(literal 1/2 binary64) (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/2 binary64))))
(exp.f64 (.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (E.f64) (E.f64))) (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (E.f64) re)
(pow.f64 (E.f64) (fma.f64 re #s(literal 1/2 binary64) (*.f64 re #s(literal 1/2 binary64))))
(pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/2 binary64))))
(pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) re))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 3 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 re #s(literal 1/2 binary64)))
(pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) re))
(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (sqrt.f64 (E.f64)) (+.f64 re re))
(pow.f64 (exp.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) re) #s(literal 1/2 binary64))
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(.f64 (exp.f64 re) (pow.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 (exp.f64 re) (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(.f64 (exp.f64 (.f64 re #s(literal 1/2 binary64))) (exp.f64 (*.f64 re #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 #s(literal 1/3 binary64) re)) (exp.f64 (*.f64 #s(literal 2/3 binary64) re)))
(.f64 (exp.f64 (.f64 #s(literal 1/3 binary64) re)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 1/3 binary64) re)) (pow.f64 (pow.f64 (E.f64) #s(literal 4/3 binary64)) (*.f64 re #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))) (pow.f64 (.f64 (E.f64) (sqrt.f64 (E.f64))) (*.f64 re #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 #s(literal 2/3 binary64) re)) (exp.f64 (*.f64 #s(literal 1/3 binary64) re)))
(.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))) (exp.f64 re))
(.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 re #s(literal 1/2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 re #s(literal 1/2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))) (exp.f64 re))
(.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/2 binary64)))) (exp.f64 (.f64 #s(literal 1/3 binary64) re)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) (.f64 re #s(literal 1/2 binary64))) (exp.f64 (.f64 #s(literal 1/3 binary64) re)))
(.f64 (pow.f64 (.f64 (E.f64) (sqrt.f64 (E.f64))) (.f64 re #s(literal 1/2 binary64))) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (.f64 re #s(literal 1/2 binary64))) (exp.f64 (.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 (.f64 #s(literal 1/3 binary64) re)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (.f64 #s(literal 1/3 binary64) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(E.f64)
(log.f64 (exp.f64 (E.f64)))
(exp.f64 #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (E.f64) (*.f64 (E.f64) (E.f64)))) #s(literal 1/3 binary64)))
(fabs.f64 (E.f64))
(sqrt.f64 (*.f64 (E.f64) (E.f64)))
(cbrt.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))))
(pow.f64 (E.f64) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64))
(*.f64 (E.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (E.f64))
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (exp.f64 #s(literal 2/3 binary64)))
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))))
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (E.f64) #s(literal 4/3 binary64))))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (exp.f64 #s(literal 1/3 binary64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(*.f64 (sqrt.f64 (E.f64)) (log.f64 (exp.f64 (sqrt.f64 (E.f64)))))
(.f64 (sqrt.f64 (sqrt.f64 (E.f64))) (sqrt.f64 (.f64 (E.f64) (sqrt.f64 (E.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (exp.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (E.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (E.f64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (E.f64) (sqrt.f64 (E.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (exp.f64 #s(literal 1/3 binary64))))
(.f64 (pow.f64 (.f64 (*.f64 (E.f64) (E.f64)) (sqrt.f64 (E.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (E.f64))))
(.f64 (cbrt.f64 (.f64 (E.f64) (sqrt.f64 (E.f64)))) (cbrt.f64 (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
(.f64 (cbrt.f64 (.f64 (*.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 2/3 binary64)))) (cbrt.f64 (exp.f64 #s(literal 1/3 binary64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (E.f64) (E.f64)) (sqrt.f64 (E.f64)))) (cbrt.f64 (sqrt.f64 (E.f64))))
(.f64 (sqrt.f64 (.f64 (E.f64) (sqrt.f64 (E.f64)))) (sqrt.f64 (sqrt.f64 (E.f64))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))) (exp.f64 #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64)))) (pow.f64 (E.f64) #s(literal 1/6 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))
(+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(+.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re #s(literal 1/2 binary64)))) re)
(-.f64 (/.f64 (.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) (/.f64 (.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64)) (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))) (-.f64 (.f64 re re) (.f64 (.f64 re (*.f64 re #s(literal 1/2 binary64))) re)))) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64)))) (.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) re)) #s(literal 1 binary64))
(fma.f64 (.f64 re (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal 1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 re (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal 1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) (-.f64 #s(literal 1 binary64) (.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))))))
(/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))
(/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))))
(/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
(/.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)))))
(/.f64 (neg.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64))) (neg.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
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eval192.0ms (1.3%)

Memory: -2.5MiB live, 246.5MiB allocated
Compiler: Compiled 16 740 to 1 363 computations (91.9% saved)

prune259.0ms (1.8%)

Memory

-11.3MiB live, 233.5MiB allocated

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	715	14	729
Fresh	4	6	10
Picked	1	4	5
Done	0	4	4
Total	720	28	748

Accuracy

100.0%

Counts

748 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	39.7%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	38.2%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	63.4%	(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
✓	52.6%	(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
	33.5%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	36.0%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	33.2%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	74.1%	#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re)))
✓	74.1%	#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
✓	74.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	51.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	43.0%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	31.8%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
▶	39.6%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
✓	39.6%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
	32.2%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
	35.9%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
	11.1%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
	11.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
✓	31.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
	32.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	32.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(approx (+ (* im (* im -1/720)) 1/24) (.f64 im (.f64 im #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	30.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/4 binary64)) im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	35.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	31.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	29.0%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
	18.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))

Compiler

Compiled 849 to 419 computations (50.6% saved)

simplify17.0ms (0.1%)

Memory

-5.5MiB live, 33.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
cost-diff	128	(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) re)
cost-diff	0	#s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))
cost-diff	0	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
cost-diff	0	(E.f64)
cost-diff	0	(.f64 (E.f64) (.f64 (E.f64) (E.f64)))
cost-diff	0	(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))
cost-diff	0	#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re)))

Rules

456×	`lower-fma.f32`
442×	`lower-fma.f64`
202×	`lower-*.f32`
188×	`lower-*.f64`
132×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	253
0	62	249
1	107	243
2	151	238
3	241	238
4	296	238
5	330	238
0	330	238

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re)))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))
(.f64 (E.f64) (.f64 (E.f64) (E.f64)))
(E.f64)
(*.f64 (E.f64) (E.f64))
(*.f64 #s(literal 1/3 binary64) re)
#s(literal 1/3 binary64)
re
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))
(*.f64 re #s(literal 1/2 binary64))
re
#s(literal 1/2 binary64)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

Outputs
#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re)))
#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 re #s(literal 1/3 binary64))))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 re #s(literal 1/3 binary64)))
(.f64 (E.f64) (.f64 (E.f64) (E.f64)))
(E.f64)
(*.f64 (E.f64) (E.f64))
(*.f64 #s(literal 1/3 binary64) re)
(*.f64 re #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
re
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 re #s(literal 1 binary64))))
#s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))
#s(approx (pow (E) re) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)
re
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
#s(approx (pow (E) re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 re #s(literal 1/2 binary64))
re
#s(literal 1/2 binary64)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (pow (E) re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (pow (E) re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize126.0ms (0.9%)

Memory

16.3MiB live, 245.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.16015625	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	20.86886765066197	#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	29.417900538608848	#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.00390625	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	23.228722189098793	#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	29.417900538608848	#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0	(*.f64 re #s(literal 1/2 binary64))
accuracy	0.00390625	(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))
accuracy	16.5835128745694	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
accuracy	23.228722189098793	#s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
accuracy	0	(+.f64 #s(literal 1 binary64) re)
accuracy	16.5835128745694	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
accuracy	30.321459813189843	#s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.023073791389095773	(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))
accuracy	0.34765625	(*.f64 #s(literal 1/3 binary64) re)
accuracy	1.0	(*.f64 (E.f64) (E.f64))
accuracy	16.5835128745694	#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re)))

Samples

83.0ms

256×

valid

Compiler

Compiled 158 to 35 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 25.0ms (39.2% of total)

ival-add: 10.0ms (15.7% of total)

const: 10.0ms (15.7% of total)

ival-pow: 8.0ms (12.5% of total)

ival-cos: 6.0ms (9.4% of total)

ival-exp: 2.0ms (3.1% of total)

ival-e: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

-38.0MiB live, 33.0MiB allocated

Counts

23 → 300

Calls

Call 1

Inputs
#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())
#s(alt (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (patch (.f64 (E.f64) (.f64 (E.f64) (E.f64))) #<representation binary64>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))) (patch #s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))) #<representation binary64>) () ())
#s(alt #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))) (patch #s(approx ( (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 (.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))) (patch #s(approx (exp re) (fma.f64 (.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 re #s(literal 1/2 binary64)) (patch (.f64 re #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (E.f64) (E.f64)) (patch (.f64 (E.f64) (E.f64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())
#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (cos im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re))) (patch #s(approx ( (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (* re (log (pow (E) 3))))) (taylor 0 re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ (* 1/18 (* re (pow (log (pow (E) 3)) 2))) (* 1/3 (log (pow (E) 3)))))) (taylor 0 re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ (* 1/3 (log (pow (E) 3))) (* re (+ (* 1/162 (* re (pow (log (pow (E) 3)) 3))) (* 1/18 (pow (log (pow (E) 3)) 2))))))) (taylor 0 re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/3 (* re (log (pow (E) 3))))) (taylor inf re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/3 (* re (log (pow (E) 3))))) (taylor inf re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/3 (* re (log (pow (E) 3))))) (taylor inf re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/3 (* re (log (pow (E) 3))))) (taylor inf re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/3 (* re (log (pow (E) 3))))) (taylor -inf re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/3 (* re (log (pow (E) 3))))) (taylor -inf re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/3 (* re (log (pow (E) 3))))) (taylor -inf re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/3 (* re (log (pow (E) 3))))) (taylor -inf re) (#s(alt (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) (patch (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))) (patch #s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 2)) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 2)) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor 0 re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor 0 re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor 0 re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor 0 re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor inf re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor inf re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor inf re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor inf re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor -inf re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor -inf re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor -inf re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt (* 1/3 re) (taylor -inf re) (#s(alt (.f64 #s(literal 1/3 binary64) re) (patch (.f64 #s(literal 1/3 binary64) re) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(pow (* (E) (* (E) (E))) (* 1/3 re))
0.0ms	re	@	-inf	(* 1/3 re)
0.0ms	re	@	inf	(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)
0.0ms	re	@	-inf	(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)
0.0ms	re	@	inf	(* 1/3 re)

simplify310.0ms (2.1%)

Memory

30.5MiB live, 450.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 108×	`lower-fma.f64`
18 108×	`lower-fma.f32`
4 786×	`lower-*.f64`
4 786×	`lower-*.f32`
1 982×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	2254
1	469	2187
2	1199	2030
3	3873	1652
4	7661	1652
0	8239	1488

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 298

Calls

Call 1

Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 (* 1/3 (* re (log (pow (E) 3)))))
(+ 1 (* re (+ (* 1/18 (* re (pow (log (pow (E) 3)) 2))) (* 1/3 (log (pow (E) 3))))))
(+ 1 (* re (+ (* 1/3 (log (pow (E) 3))) (* re (+ (* 1/162 (* re (pow (log (pow (E) 3)) 3))) (* 1/18 (pow (log (pow (E) 3)) 2)))))))
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp (* 1/3 (* re (log (pow (E) 3)))))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 (* re (log (E))))
(+ 1 (* re (+ (log (E)) (* 1/2 (* re (pow (log (E)) 2))))))
(+ 1 (* re (+ (log (E)) (* re (+ (* 1/6 (* re (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(pow (E) re)
(pow (E) re)
(pow (E) re)
(pow (E) re)
(pow (E) re)
(pow (E) re)
(pow (E) re)
(pow (E) re)
1
(+ 1 re)
(+ 1 re)
(+ 1 re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
1
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/3 re)
(* 1/3 re)
(* 1/3 re)
(* 1/3 re)
(* 1/3 re)
(* 1/3 re)
(* 1/3 re)
(* 1/3 re)
(* 1/3 re)
(* 1/3 re)
(* 1/3 re)
(* 1/3 re)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))

Outputs
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* re (log (pow (E) 3)))))
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ (* 1/18 (* re (pow (log (pow (E) 3)) 2))) (* 1/3 (log (pow (E) 3))))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ (* 1/3 (log (pow (E) 3))) (* re (+ (* 1/162 (* re (pow (log (pow (E) 3)) 3))) (* 1/18 (pow (log (pow (E) 3)) 2)))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp.f64 re)
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp.f64 re)
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp.f64 re)
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp.f64 re)
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp.f64 re)
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp.f64 re)
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp.f64 re)
(exp (* 1/3 (* re (log (pow (E) 3)))))
(exp.f64 re)
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* re (log (E))))
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ (log (E)) (* 1/2 (* re (pow (log (E)) 2))))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ (log (E)) (* re (+ (* 1/6 (* re (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
(pow (E) re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
re
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
re
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 re (.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(.f64 re (.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(.f64 #s(literal 1/6 binary64) (.f64 re re))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(.f64 #s(literal 1/6 binary64) (.f64 re re))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
(* 1/3 re)
(*.f64 re #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))

rewrite353.0ms (2.4%)

Memory

5.1MiB live, 410.2MiB allocated

Rules

4 836×	`lower-fma.f32`
4 822×	`lower-fma.f64`
3 898×	`lower-*.f32`
3 884×	`lower-*.f64`
3 678×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	205
0	62	201
1	232	182
2	1723	182
0	8199	182

Stop Event

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

Counts

23 → 574

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re)))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re))
(.f64 (E.f64) (.f64 (E.f64) (E.f64)))
(E.f64)
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(*.f64 re #s(literal 1/2 binary64))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (E.f64) (E.f64))
(*.f64 #s(literal 1/3 binary64) re)
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))

Outputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
(exp.f64 (fma.f64 re #s(literal 1/2 binary64) (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/2 binary64))))
(exp.f64 (.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (.f64 #s(literal 3 binary64) (fma.f64 re #s(literal 1/6 binary64) (.f64 re #s(literal 1/6 binary64)))))
(exp.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 #s(literal 3 binary64) re))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 (E.f64) (.f64 (E.f64) (E.f64))))) (*.f64 re #s(literal 1/6 binary64))))
(exp.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (*.f64 re #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/3 binary64)) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/3 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/3 binary64)) (.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/3 binary64)))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (.f64 re #s(literal 1/6 binary64)) (.f64 #s(literal 3 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (E.f64) re)
(pow.f64 (E.f64) (fma.f64 re #s(literal 1/2 binary64) (*.f64 re #s(literal 1/2 binary64))))
(pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/2 binary64))))
(pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (.f64 #s(literal 3 binary64) (fma.f64 re #s(literal 1/6 binary64) (.f64 re #s(literal 1/6 binary64)))))
(pow.f64 (E.f64) (.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(pow.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (E.f64) (.f64 (.f64 #s(literal 3 binary64) (*.f64 re #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(pow.f64 (E.f64) (fma.f64 re #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/3 binary64)))))
(pow.f64 (E.f64) (fma.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/3 binary64)) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/3 binary64)))))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/3 binary64)) (.f64 re #s(literal 1/3 binary64))))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/3 binary64)) (.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/3 binary64)))))
(pow.f64 (E.f64) (fma.f64 #s(literal 3 binary64) (.f64 re #s(literal 1/6 binary64)) (.f64 #s(literal 3 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 re #s(literal 1/2 binary64)))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 #s(literal 3 binary64) (*.f64 re #s(literal 1/6 binary64))))
(pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (.f64 (E.f64) (E.f64)) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 re #s(literal 1/3 binary64)))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (fma.f64 re #s(literal 1/6 binary64) (*.f64 re #s(literal 1/6 binary64))))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/6 binary64))))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/3 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
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(.f64 (neg.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
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eval121.0ms (0.8%)

Memory: 12.7MiB live, 286.2MiB allocated
Compiler: Compiled 19 800 to 1 854 computations (90.6% saved)

prune196.0ms (1.3%)

Memory

-17.1MiB live, 336.5MiB allocated

Pruning

40 alts after pruning (29 fresh and 11 done)

	Pruned	Kept	Total
New	938	21	959
Fresh	7	8	15
Picked	2	3	5
Done	0	8	8
Total	947	40	987

Accuracy

100.0%

Counts

987 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	33.1%	(.f64 #s(approx (exp re) (fma.f64 (.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	39.7%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	39.6%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	42.1%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	31.3%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	39.7%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	38.1%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	40.5%	(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	32.7%	(.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	31.8%	(.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	63.4%	(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
	39.7%	(.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	52.6%	(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
	33.5%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	36.0%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	33.2%	(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	12.9%	(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	13.0%	(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	12.7%	(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re re))))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	11.4%	(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	11.5%	(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	74.1%	#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re)))
✓	74.1%	#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
✓	74.1%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	51.8%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	43.0%	#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	31.8%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
✓	31.8%	#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
✓	39.6%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
✓	39.6%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
	35.9%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
	11.1%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
	11.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
✓	31.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
	30.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/4 binary64)) im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓	35.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	31.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	29.0%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
	18.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))

Compiler

Compiled 1 706 to 567 computations (66.8% saved)

regimes83.0ms (0.6%)

Memory

19.4MiB live, 175.1MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re re))))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(approx (+ (* im (* im -1/720)) 1/24) (.f64 im (.f64 im #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/4 binary64)) im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( im (* im -1/2)) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re)))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))

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

Calls

5 calls:

20.0ms	im
17.0ms	re
16.0ms	(cos.f64 im)
14.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
12.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(cos.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes94.0ms (0.6%)

Memory

17.8MiB live, 137.6MiB allocated

Counts

54 → 4

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re re))))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(approx (+ (* im (* im -1/720)) 1/24) (.f64 im (.f64 im #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/4 binary64)) im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( im (* im -1/2)) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re)))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))

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

Calls

5 calls:

31.0ms	im
19.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
15.0ms	(cos.f64 im)
15.0ms	re
12.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.1%	4	`re`
84.0%	2	`im`
97.7%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`
94.6%	3	`(exp.f64 re)`
85.8%	2	`(cos.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes34.0ms (0.2%)

Memory

2.6MiB live, 78.6MiB allocated

Counts

53 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re re))))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(approx (+ (* im (* im -1/720)) 1/24) (.f64 im (.f64 im #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/4 binary64)) im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( im (* im -1/2)) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) (pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) re)))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))

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

Calls

2 calls:

15.0ms	re
15.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
98.8%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
94.6%	3	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes17.0ms (0.1%)

Memory

0.9MiB live, 38.9MiB allocated

Counts

50 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re re))))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(approx (+ (* im (* im -1/720)) 1/24) (.f64 im (.f64 im #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/4 binary64)) im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))

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

Calls

1 calls:

14.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
98.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes19.0ms (0.1%)

Memory

-43.5MiB live, 24.2MiB allocated

Counts

48 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re re))))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(approx (+ (* im (* im -1/720)) 1/24) (.f64 im (.f64 im #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/4 binary64)) im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (pow.f64 (E.f64) re))

Outputs
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))

Calls

1 calls:

16.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
98.3%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes71.0ms (0.5%)

Memory

23.8MiB live, 133.2MiB allocated

Counts

46 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re re))))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(approx (+ (* im (* im -1/720)) 1/24) (.f64 im (.f64 im #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/4 binary64)) im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))

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

Calls

5 calls:

16.0ms	re
16.0ms	(cos.f64 im)
13.0ms	im
12.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
58.3%	2	`im`
59.2%	2	`(cos.f64 im)`
75.8%	4	`re`
74.1%	3	`(exp.f64 re)`
78.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes98.0ms (0.7%)

Memory

-26.3MiB live, 134.8MiB allocated

Counts

45 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re re))))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(approx (+ (* im (* im -1/720)) 1/24) (.f64 im (.f64 im #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/4 binary64)) im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))

Outputs

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

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

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

Calls

5 calls:

44.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
14.0ms	im
13.0ms	(cos.f64 im)
12.0ms	re
12.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
43.0%	1	`im`
47.5%	2	`(cos.f64 im)`
53.1%	2	`(exp.f64 re)`
53.1%	2	`re`
57.6%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Outputs

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

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

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

Calls

1 calls:

5.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
57.5%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))

Outputs

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

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

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

Calls

1 calls:

5.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
57.3%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes44.0ms (0.3%)

Memory

-18.3MiB live, 26.9MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Outputs

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

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

Calls

4 calls:

29.0ms	re
5.0ms	(cos.f64 im)
4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
47.1%	2	`(cos.f64 im)`
43.0%	1	`(exp.f64 re)`
43.0%	1	`re`
47.2%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (* (E) (* (E) (E))) (* 1/3 re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

5.0ms	(cos.f64 im)
4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
45.7%	2	`(cos.f64 im)`
45.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes42.0ms (0.3%)

Memory

4.8MiB live, 41.7MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))))

Outputs

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

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

Calls

5 calls:

25.0ms	(cos.f64 im)
4.0ms	im
4.0ms	re
4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
39.6%	1	`re`
39.6%	1	`(exp.f64 re)`
39.6%	1	`im`
42.4%	2	`(cos.f64 im)`
42.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes41.0ms (0.3%)

Memory

-24.1MiB live, 50.5MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (.f64 re (.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (.f64 im #s(approx (+ ( (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re 1/2) re) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))
#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (fma.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1/3 binary64) #s(literal 1 binary64))))

Outputs

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

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

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

Calls

5 calls:

25.0ms	(cos.f64 im)
4.0ms	im
4.0ms	re
3.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
39.6%	2	`re`
39.6%	2	`(exp.f64 re)`
33.6%	2	`im`
34.5%	2	`(cos.f64 im)`
42.4%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes3.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
42.4%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
39.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.1%)

Memory

-15.2MiB live, 26.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

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

#s(approx (* (exp re) (cos im)) #s(approx (pow (E) re) (+.f64 #s(literal 1 binary64) re)))

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

Calls

5 calls:

8.0ms	re
2.0ms	im
2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
31.8%	1	`im`
31.8%	1	`(cos.f64 im)`
31.8%	1	`re`
31.8%	1	`(exp.f64 re)`
31.8%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Outputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Calls

5 calls:

1.0ms	re
1.0ms	im
1.0ms	(cos.f64 im)
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
31.3%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
31.3%	1	`im`
31.3%	1	`(cos.f64 im)`
31.3%	1	`re`
31.3%	1	`(exp.f64 re)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch3.6s (24.9%)

Memory

18.0MiB live, 89.4MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.6s	1.550827058387413e+150	1.2220087731319082e+158
37.0ms	5.860671357098814e-30	2.847036592439948e-22
13.0ms	-8.405546985218366e-8	-7.624164849952908e-11

Samples

3.6s

416×

valid

Compiler

Compiled 556 to 348 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-mult: 3.6s (99.6% of total)

ival-cos: 9.0ms (0.3% of total)

ival-exp: 4.0ms (0.1% of total)

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

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999611075152	0.9999999999999998
0.0ms	-0.0	0.19426622537304633
0.0ms	-0.051900250096620096	-4.87969569880429e-83
0.0ms	-inf	-0.9998258842450953

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999611075152	0.9999999999999998
0.0ms	-0.0	0.19426622537304633
0.0ms	-0.051900250096620096	-4.87969569880429e-83
0.0ms	-inf	-0.9998258842450953

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9988167487291844	0.9999784553706147
0.0ms	-0.0	0.19426622537304633
0.0ms	-4.87969569880429e-83	0.0
0.0ms	-inf	-0.9998258842450953

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9988167487291844	0.9999784553706147
0.0ms	-0.0	0.19426622537304633
0.0ms	-4.87969569880429e-83	0.0
0.0ms	-inf	-0.9998258842450953

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.19426622537304633
0.0ms	-4.87969569880429e-83	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.19426622537304633
0.0ms	-4.87969569880429e-83	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.19426622537304633
0.0ms	-4.87969569880429e-83	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.19426622537304633

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.19426622537304633

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.19426622537304633

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000019313	2.474692615638196e+148
0.0ms	-0.0	0.19426622537304633

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000019313	2.474692615638196e+148
0.0ms	-0.0	0.19426622537304633

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000019313	2.474692615638196e+148

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.6s (24.4%)

Memory

0.5MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	1073
1	166	1073

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -6195744825524975/75557863725914323419136 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 re #s(literal 5954941421116423/21267647932558653966460912964485513216 binary64)) (.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im)) (if (<=.f64 re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199074597007/9007199254740992 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199074597007/9007199254740992 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -6195744825524975/75557863725914323419136 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 re #s(literal 5954941421116423/21267647932558653966460912964485513216 binary64)) (.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im)) (if (<=.f64 re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im)))))
(if (<=.f64 re #s(literal -6195744825524975/75557863725914323419136 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 re #s(literal 5954941421116423/21267647932558653966460912964485513216 binary64)) (.f64 (cos.f64 im) #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))) (if (<=.f64 re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (*.f64 (cos.f64 im) #s(approx (exp re) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199074597007/9007199254740992 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199074597007/9007199254740992 binary64)) (.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199074597007/9007199254740992 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007199074597007/9007199254740992 binary64)) (.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (exp re) (cos im)) (cos.f64 im)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64))))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (exp re) #s(approx (+ ( re (+ (* re 1/2) 1)) 1) (.f64 re (.f64 re #s(literal 1/2 binary64)))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1) (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im im))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx ( (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

soundness1.8s (12.1%)

Memory

-14.9MiB live, 1 192.5MiB allocated

Rules

18 108×	`lower-fma.f64`
18 108×	`lower-fma.f32`
17 940×	`lower-fma.f64`
17 940×	`lower-fma.f32`
16 062×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	2254
1	469	2187
2	1199	2030
3	3873	1652
4	7661	1652
0	8239	1488
0	71	1076
1	194	1032
2	487	1016
3	1108	1000
4	1606	1000
5	2265	1000
6	3489	1000
7	5694	1000
8	7934	1000
0	8106	925
0	133	1962
1	377	1871
2	899	1822
3	2324	1778
4	5797	1778
0	8005	1629
0	64	283
1	178	272
2	461	268
3	1054	264
4	1447	264
5	1857	264
6	2380	264
7	2886	264
8	3528	264
9	5578	264
10	7980	264
0	8041	242
0	18	68
0	27	68
1	61	68
2	286	68
3	2367	68
0	8402	68

Stop Event

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

Compiler

Compiled 1 283 to 493 computations (61.6% saved)

preprocess137.0ms (0.9%)

Memory: 12.1MiB live, 246.9MiB allocated
Remove: (abs im)
Compiler: Compiled 1 482 to 224 computations (84.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	29
1	39	29
2	72	27
3	108	27
4	166	27
5	206	27
6	250	27
7	284	27
8	295	27
9	295	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	31	223
0	50	223
1	101	223
2	225	221
3	408	221
4	506	221
5	521	221
6	522	221
0	522	221

Iter	Nodes	Cost
0	15	29
1	39	29
2	72	27
3	108	27
4	166	27
5	206	27
6	250	27
7	284	27
8	295	27
9	295	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	31	223
0	50	223
1	101	223
2	225	221
3	408	221
4	506	221
5	521	221
6	522	221
0	522	221

start0.0ms (0%)

analyze0.0ms (0%)

sample925.0ms (6.3%)

explain62.0ms (0.4%)

preprocess20.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize34.0ms (0.2%)

series4.0ms (0%)

simplify330.0ms (2.3%)

rewrite58.0ms (0.4%)

eval5.0ms (0%)

prune26.0ms (0.2%)

simplify5.0ms (0%)

localize51.0ms (0.4%)

series7.0ms (0.1%)

simplify293.0ms (2%)

rewrite381.0ms (2.6%)

eval78.0ms (0.5%)

prune198.0ms (1.4%)

simplify21.0ms (0.1%)

localize142.0ms (1%)

series26.0ms (0.2%)

simplify294.0ms (2%)

rewrite321.0ms (2.2%)

eval192.0ms (1.3%)

prune259.0ms (1.8%)

simplify17.0ms (0.1%)

localize126.0ms (0.9%)

series26.0ms (0.2%)

simplify310.0ms (2.1%)

rewrite353.0ms (2.4%)

eval121.0ms (0.8%)

prune196.0ms (1.3%)

regimes83.0ms (0.6%)

regimes94.0ms (0.6%)

regimes34.0ms (0.2%)

regimes17.0ms (0.1%)

regimes19.0ms (0.1%)

regimes71.0ms (0.5%)

regimes98.0ms (0.7%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes44.0ms (0.3%)

regimes10.0ms (0.1%)

regimes42.0ms (0.3%)

regimes41.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes16.0ms (0.1%)

regimes6.0ms (0%)

bsearch3.6s (24.9%)

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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify3.6s (24.4%)

soundness1.8s (12.1%)

preprocess137.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	29
1	39	29
2	72	27
3	108	27
4	166	27
5	206	27
6	250	27
7	284	27
8	295	27
9	295	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	31	223
0	50	223
1	101	223
2	225	221
3	408	221
4	506	221
5	521	221
6	522	221
0	522	221