Metrics for math.exp on complex, real part

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample959.0ms (9.1%)

Memory

36.1MiB live, 1 410.4MiB allocated

Samples

699.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 473.0ms

ival-cos: 256.0ms (54.1% of total)

ival-exp: 114.0ms (24.1% of total)

ival-mult: 93.0ms (19.7% of total)

ival-true: 6.0ms (1.3% of total)

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

Bogosity

preprocess28.0ms (0.3%)

Memory

-8.3MiB live, 30.7MiB 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)

explain64.0ms (0.6%)

Memory

11.9MiB live, 130.6MiB 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

32.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 12.0ms (59.9% of total)

ival-exp: 4.0ms (20% of total)

ival-mult: 3.0ms (15% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

simplify4.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

localize24.0ms (0.2%)

Memory

-24.4MiB live, 52.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Samples

18.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 7.0ms (59% of total)

ival-exp: 3.0ms (25.3% of total)

ival-mult: 2.0ms (16.8% of total)

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

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

series4.0ms (0%)

Memory

9.7MiB live, 9.7MiB 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))

rewrite17.0ms (0.2%)

Memory

1.1MiB live, 40.1MiB allocated

Algorithm

1×	batch-egg-rewrite

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)

simplify454.0ms (4.3%)

Memory

4.0MiB live, 558.7MiB 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)

eval5.0ms (0%)

Memory: 11.8MiB live, 11.8MiB allocated
Compiler: Compiled 336 to 39 computations (88.4% saved)

prune8.0ms (0.1%)

Memory

-20.6MiB live, 17.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Accuracy

100.0%

Counts

53 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.6%	(*.f64 (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.f64 im))
	68.1%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
▶	53.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	59.5%	(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	66.0%	(exp.f64 re)
▶	52.2%	(cos.f64 im)

Compiler

Compiled 115 to 81 computations (29.6% saved)

simplify59.0ms (0.6%)

Memory

16.0MiB live, 53.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 im #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(exp.f64 re)
✓	cost-diff	(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(cos.f64 im)
✓	cost-diff	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	cost-diff	(exp.f64 re)
✓	cost-diff	(cos.f64 im)
✓	cost-diff	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(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	(*.f64 (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.f64 im))

Rules

1 432×	`lower-fma.f32`
1 424×	`lower-fma.f64`
620×	`lower-*.f32`
612×	`lower-*.f64`
388×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	85
0	32	85
1	67	85
2	141	85
3	325	85
4	531	85
5	1020	85
6	1140	85
0	1140	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize79.0ms (0.8%)

Memory

12.8MiB live, 130.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 im #s(literal -1/2 binary64))
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	95.4%	(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.9%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	100.0%	(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))
✓	accuracy	99.9%	(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 (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.f64 im))
✓	accuracy	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))

Samples

54.0ms

256×

valid

Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-cos: 16.0ms (39.3% of total)

ival-mult: 12.0ms (29.4% of total)

ival-add: 6.0ms (14.7% of total)

const: 4.0ms (9.8% of total)

ival-exp: 2.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-8.6MiB live, 28.8MiB allocated

Counts

11 → 168

Calls

Call 1

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

42 calls:

Time	Variable		Point	Expression
3.0ms	re	@	inf	(* (exp re) (+ (* im (* im -1/2)) 1))
1.0ms	im	@	0	(* (+ re 1) (cos im))
1.0ms	im	@	inf	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))
1.0ms	re	@	-inf	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))
0.0ms	im	@	0	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))

rewrite463.0ms (4.4%)

Memory

20.5MiB live, 733.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 754×	`lower-fma.f32`
9 746×	`lower-fma.f64`
6 094×	`lower-*.f32`
6 086×	`lower-*.f64`
4 090×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
0	32	65
1	123	65
2	922	65
0	8537	65

Stop Event

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

Counts

11 → 529

Calls

Call 1

Inputs
(*.f64 (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.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))
(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))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+.f64 re #s(literal 1 binary64))
(.f64 (exp.f64 re) (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
(+.f64 (cos.f64 im) (.f64 (cos.f64 im) (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))
(+.f64 (cos.f64 im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (cos.f64 im))))
(+.f64 (.f64 (cos.f64 im) (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (cos.f64 im))
(+.f64 (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (cos.f64 im))) (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (.f64 (cos.f64 im) re))
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(fma.f64 (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))) (/.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)))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) im) (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 im #s(literal -1/2 binary64))) im #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 im im)) #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)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.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 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1 binary64))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 im im)) #s(literal -1/2 binary64)))) (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) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))))))
(/.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 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(/.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) (.f64 (.f64 im im) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 im im)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))))))
(/.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 im im)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(/.f64 #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 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))) (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)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) #s(literal 1/64 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) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) #s(literal 1/64 binary64) #s(literal -1 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)) (fma.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.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 #s(literal 1/4 binary64) (.f64 im im))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))) (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 (-.f64 (.f64 (/.f64 (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))) (fma.f64 im (.f64 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))) (/.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 #s(literal 1/4 binary64) (.f64 im im))) (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 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1 binary64)) #s(literal 1 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)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))) (fma.f64 (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (*.f64 im im)) #s(literal -1/8 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))))) (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #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))
(.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 (.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 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(.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) (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 im im)) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 (neg.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) (neg.f64 (fma.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 #s(literal 1/4 binary64) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(*.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))

simplify405.0ms (3.8%)

Memory

27.9MiB live, 885.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 940×	`lower-fma.f64`
15 940×	`lower-fma.f32`
4 296×	`lower-+.f64`
4 296×	`lower-+.f32`
4 130×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1490
1	655	1400
2	2371	1332
3	6964	1328
0	8132	1177

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

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

eval201.0ms (1.9%)

Memory: -9.8MiB live, 182.8MiB allocated
Compiler: Compiled 18 006 to 1 884 computations (89.5% saved)

prune112.0ms (1.1%)

Memory

16.8MiB live, 296.7MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	724	18	742
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	724	25	749

Accuracy

100.0%

Counts

749 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.5%	(fma.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 re (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
	33.3%	(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))
	40.5%	(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))
	39.0%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
	32.3%	(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
	30.6%	(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
	54.2%	(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (.f64 (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) re)) (.f64 (cos.f64 im) (.f64 (cos.f64 im) re)))))
	67.6%	(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
	28.8%	(+.f64 re #s(literal 1 binary64))
	55.1%	(.f64 (fma.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
▶	70.6%	(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
	40.5%	(.f64 (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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	70.6%	(*.f64 (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.f64 im))
▶	39.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	68.1%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
	70.5%	(.f64 (-.f64 (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
	33.5%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	53.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	25.0%	(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
✓	59.5%	(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	30.6%	(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	66.0%	(exp.f64 re)
✓	52.2%	(cos.f64 im)
▶	28.4%	#s(literal 1 binary64)

Compiler

Compiled 649 to 395 computations (39.1% saved)

simplify482.0ms (4.6%)

Memory

-85.4MiB live, 529.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 re)
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (exp.f64 re))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
✓	cost-diff	0	(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	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 im #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 re re #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
✓	cost-diff	1536	(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))

Rules

13 702×	`lower-fma.f32`
13 690×	`lower-fma.f64`
3 432×	`lower-*.f32`
3 414×	`lower-*.f64`
3 170×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	157
0	51	155
1	106	153
2	233	143
3	710	143
4	2959	143
5	4688	143
6	7564	143
0	8917	139

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (1%)

Memory

17.1MiB live, 249.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (exp.f64 re))
✓	accuracy	100.0%	(exp.f64 re)
✓	accuracy	90.7%	(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
✓	accuracy	100.0%	(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 im #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 im #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
✓	accuracy	99.9%	(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))

Samples

69.0ms

256×

valid

Compiler

Compiled 178 to 34 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 29.0ms (55.3% of total)

ival-add: 9.0ms (17.2% of total)

ival-cos: 6.0ms (11.4% of total)

const: 4.0ms (7.6% of total)

ival-div: 2.0ms (3.8% of total)

ival-exp: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

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

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

series23.0ms (0.2%)

Memory

8.0MiB live, 49.6MiB allocated

Counts

17 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	re	@	inf	(* -1/2 (exp re))
2.0ms	im	@	inf	(* (+ (* re (+ (* re 1/2) 1)) 1) (+ (* im (* im -1/2)) 1))
1.0ms	im	@	inf	(* (+ (* (+ (* re re) -1) (/ 1 (+ re -1))) (* re (* re (+ (* re 1/6) 1/2)))) (cos im))
1.0ms	im	@	0	(* (+ (* (+ (* re re) -1) (/ 1 (+ re -1))) (* re (* re (+ (* re 1/6) 1/2)))) (cos im))
1.0ms	im	@	inf	(* (* im im) (* -1/2 (exp re)))

rewrite396.0ms (3.8%)

Memory

19.8MiB live, 651.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 892×	`lower-fma.f32`
4 880×	`lower-fma.f64`
4 036×	`lower-/.f32`
4 034×	`lower-/.f64`
3 664×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	125
0	51	121
1	195	111
2	1455	111
0	8302	109

Stop Event

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

Counts

17 → 778

Calls

Call 1

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

Outputs
(+.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(+.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (fma.f64 re re #s(literal -1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 re #s(literal 1 binary64)))
(fma.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (+.f64 re #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (fma.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 re #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal 1 binary64)) (neg.f64 (.f64 re re))))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal 1 binary64)) (neg.f64 (.f64 re re))) (+.f64 re #s(literal -1 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 (.f64 re re) (.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 re re #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 re re #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal 1 binary64)) (neg.f64 (.f64 re re))) (-.f64 #s(literal 1 binary64) re))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 re re #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) re))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (fma.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal 1 binary64)) (neg.f64 (.f64 re re))))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 re re #s(literal 1 binary64)))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal 1 binary64)) (neg.f64 (.f64 re re)))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) (neg.f64 re))))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (+.f64 re #s(literal 1 binary64))) (+.f64 re #s(literal -1 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (fma.f64 re re #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (fma.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal 1 binary64)) (neg.f64 (.f64 re re)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (fma.f64 (.f64 re re) (.f64 re re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 re re) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))) #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal 1 binary64)) (neg.f64 (.f64 re re)))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (fma.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))) #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal 1 binary64)) (neg.f64 (.f64 re re)))) #s(literal 1 binary64)) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (fma.f64 (.f64 re re) (.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))) #s(literal 1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (-.f64 #s(literal 1 binary64) (neg.f64 re))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (.f64 re re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) (neg.f64 re))))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re re) #s(literal -1 binary64))) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) (neg.f64 re))))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal -1 binary64))) (.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re (.f64 re re) #s(literal -1 binary64))) (/.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) (neg.f64 re))))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 re (.f64 re re) #s(literal -1 binary64))) (/.f64 (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) (neg.f64 re))))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (fma.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re))) #s(literal -1 binary64)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal 1 binary64)) (neg.f64 (.f64 re re)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
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(.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)
(.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 re re) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(.f64 (.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))

simplify804.0ms (7.6%)

Memory

50.2MiB live, 1 081.6MiB allocated

Algorithm

1×	egg-herbie

Rules

26 644×	`lower-fma.f64`
26 644×	`lower-fma.f32`
6 584×	`lower-+.f64`
6 584×	`lower-+.f32`
5 306×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	2497
1	760	2343
2	2624	2167
0	8417	1930

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
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)))
(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)))))))
(* 1/6 (* (pow re 3) (cos im)))
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))
(* 1/6 (* (pow re 3) (cos im)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))
(- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))
(- (+ (* -1/2 (* (pow im 2) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))) (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1)))) (/ 1 (- re 1)))
(- (+ (* (pow im 2) (+ (* -1/2 (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))) (* 1/24 (* (pow im 2) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))))) (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1)))) (/ 1 (- re 1)))
(- (+ (* (pow im 2) (+ (* -1/2 (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))) (* 1/24 (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))))))) (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1)))) (/ 1 (- re 1)))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
-1
(- (pow re 2) 1)
(- (pow re 2) 1)
(- (pow re 2) 1)
(pow re 2)
(* (pow re 2) (- 1 (/ 1 (pow re 2))))
(* (pow re 2) (- 1 (/ 1 (pow re 2))))
(* (pow re 2) (- 1 (/ 1 (pow re 2))))
(pow re 2)
(* (pow re 2) (- 1 (/ 1 (pow re 2))))
(* (pow re 2) (- 1 (/ 1 (pow re 2))))
(* (pow re 2) (- 1 (/ 1 (pow re 2))))
-1
(- (* -1 re) 1)
(- (* re (- (* -1 re) 1)) 1)
(- (* re (- (* re (- (* -1 re) 1)) 1)) 1)
(/ 1 re)
(/ (+ 1 (/ 1 re)) re)
(/ (+ 1 (+ (/ 1 re) (/ 1 (pow re 2)))) re)
(/ (+ 1 (+ (/ 1 re) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))) re)
(/ 1 re)
(/ (+ 1 (/ 1 re)) re)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 re)) re)) 1) re))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1) re))
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
(+ 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)
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(* 1/2 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2)))))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2)))))))
(* 1/2 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/2 (pow im 2))))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/2 (pow im 2))))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
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)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (pow im 2))
(+ (* -1/2 (* (pow im 2) re)) (* -1/2 (pow im 2)))
(+ (* -1/2 (pow im 2)) (* re (+ (* -1/2 (pow im 2)) (* -1/4 (* (pow im 2) re)))))
(+ (* -1/2 (pow im 2)) (* re (+ (* -1/2 (pow im 2)) (* re (+ (* -1/4 (pow im 2)) (* -1/12 (* (pow im 2) re)))))))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(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
(- (* -1/2 re) 1/2)
(- (* re (- (* -1/4 re) 1/2)) 1/2)
(- (* re (- (* re (- (* -1/12 re) 1/4)) 1/2)) 1/2)
(* -1/2 (exp re))
(* -1/2 (exp re))
(* -1/2 (exp re))
(* -1/2 (exp re))
(* -1/2 (exp re))
(* -1/2 (exp re))
(* -1/2 (exp re))
(* -1/2 (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
(+ 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))))
(* 1/2 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 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))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 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))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))

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

eval166.0ms (1.6%)

Memory: 0.1MiB live, 418.7MiB allocated
Compiler: Compiled 37 817 to 2 870 computations (92.4% saved)

prune255.0ms (2.4%)

Memory

-17.0MiB live, 450.8MiB allocated

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	1 068	16	1 084
Fresh	5	9	14
Picked	2	3	5
Done	0	6	6
Total	1 075	34	1 109

Accuracy

100.0%

Counts

1 109 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.5%	(fma.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 re (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
	17.5%	(fma.f64 (.f64 im im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (*.f64 im im))) #s(literal 1 binary64))
▶	33.3%	(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))
	30.6%	(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #s(literal 1 binary64))
	40.5%	(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))
	39.0%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
	32.3%	(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
	25.9%	(/.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 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
	54.2%	(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (.f64 (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) re)) (.f64 (cos.f64 im) (.f64 (cos.f64 im) re)))))
	32.0%	(/.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 re (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
	67.6%	(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
	30.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	28.8%	(+.f64 re #s(literal 1 binary64))
✓	70.6%	(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
	55.1%	(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (+.f64 re #s(literal 1 binary64))) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
▶	70.6%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
✓	70.6%	(*.f64 (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.f64 im))
▶	68.1%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
	15.2%	(.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	28.1%	(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
	56.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64))) (-.f64 (.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))))) (cos.f64 im))
✓	53.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	15.2%	(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
	11.2%	(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
	12.0%	(.f64 (.f64 im im) (fma.f64 re (fma.f64 re #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
✓	25.0%	(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
	12.5%	(.f64 (.f64 im im) #s(literal -1/2 binary64))
✓	59.5%	(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	70.5%	(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 re (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))))
	11.9%	(.f64 #s(literal -1/2 binary64) (.f64 im (fma.f64 re im im)))
✓	66.0%	(exp.f64 re)
✓	52.2%	(cos.f64 im)
✓	28.4%	#s(literal 1 binary64)

Compiler

Compiled 1 043 to 586 computations (43.8% saved)

simplify482.0ms (4.6%)

Memory

9.4MiB live, 754.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 im)
✓	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	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
✓	cost-diff	0	(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓	cost-diff	0	(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))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(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))
✓	cost-diff	0	(*.f64 im im)
✓	cost-diff	0	(fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 re re)
✓	cost-diff	0	(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
✓	cost-diff	1856	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))

Rules

14 752×	`lower-fma.f32`
14 736×	`lower-fma.f64`
6 346×	`lower-*.f32`
6 330×	`lower-*.f64`
1 910×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	184
0	55	184
1	129	166
2	347	166
3	861	166
4	4005	166
5	4756	166
6	5555	166
7	6067	166
8	6657	166
9	7414	166
0	8527	162

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (1.2%)

Memory

19.2MiB live, 303.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 im)
✓	accuracy	99.9%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	99.9%	(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))
✓	accuracy	99.9%	(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))
✓	accuracy	99.2%	(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 re re)
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	99.7%	(fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	87.6%	(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
✓	accuracy	99.9%	(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))

Samples

82.0ms

256×

valid

Compiler

Compiled 206 to 38 computations (81.6% saved)

Precisions

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

ival-mult: 35.0ms (55.1% of total)

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

const: 10.0ms (15.7% of total)

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

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

exact: 1.0ms (1.6% of total)

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

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

series39.0ms (0.4%)

Memory

-6.9MiB live, 35.6MiB allocated

Counts

18 → 252

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im)) (patch (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.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 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (patch (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) #<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 (cos.f64 im) (patch (cos.f64 im) #<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>) () ())
#s(alt (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())

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

Calls

63 calls:

Time	Variable		Point	Expression
24.0ms	im	@	0	(* (+ (* (/ 1 (+ re 1)) (* (+ re 1) (+ re 1))) (* re (* re (+ (* re 1/6) 1/2)))) (cos im))
1.0ms	re	@	0	(* (* re re) (+ (* (* im im) -1/4) 1/2))
1.0ms	im	@	inf	(+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1)
0.0ms	im	@	inf	(* (+ (* re (+ (* re 1/2) 1)) 1) (cos im))
0.0ms	re	@	inf	(* (* re re) (+ (* (* im im) -1/4) 1/2))

rewrite554.0ms (5.3%)

Memory

-6.7MiB live, 659.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 508×	`lower-fma.f32`
6 492×	`lower-fma.f64`
4 514×	`lower-*.f32`
4 498×	`lower-*.f64`
3 742×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	149
0	55	145
1	245	131
2	2020	131
0	8184	129

Stop Event

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

Counts

18 → 763

Calls

Call 1

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

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(+.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))) (/.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (-.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (-.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (-.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (+.f64 #s(literal 1 binary64) re))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1 binary64) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (.f64 re re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re re) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (pow.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (pow.f64 (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (.f64 re re) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 re #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (+.f64 #s(literal 1 binary64) re) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (.f64 re re) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (+.f64 re #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 re (.f64 re re) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (.f64 re re) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 re #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (.f64 re re) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (.f64 re re) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (+.f64 re #s(literal -1 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
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(/.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64))) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(+.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(+.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 re re) #s(literal 1/4 binary64)) (-.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)) (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(fma.f64 re #s(literal 1/2 binary64) (.f64 re (.f64 re #s(literal 1/6 binary64))))
(fma.f64 re (.f64 re #s(literal 1/6 binary64)) (.f64 re #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 re re) (.f64 re #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) re (.f64 re (.f64 re #s(literal 1/6 binary64))))
(fma.f64 (.f64 re re) #s(literal 1/6 binary64) (.f64 re #s(literal 1/2 binary64)))
(fma.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 re (*.f64 re #s(literal 1/6 binary64))))
(fma.f64 (.f64 re #s(literal 1/6 binary64)) re (.f64 re #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)) (.f64 re (.f64 re re)) (.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)))) (fma.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 re re) #s(literal 1/4 binary64)) (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 re re) #s(literal 1/4 binary64))) (-.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re #s(literal 1/2 binary64))))
(/.f64 (.f64 re (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))))
(/.f64 (.f64 re (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)))
(/.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)) (.f64 re (.f64 re re)) (.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re))))) (neg.f64 (fma.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 re re) #s(literal 1/4 binary64)) (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 re re) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 re (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re)) (neg.f64 (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re)) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)) (.f64 (.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64)) (.f64 re (.f64 re re)))) (fma.f64 (.f64 re re) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (.f64 re #s(literal 1/6 binary64)))))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(+.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 (.f64 re re) (*.f64 re #s(literal 1/6 binary64))))
(+.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 (.f64 re #s(literal 1/6 binary64)) (*.f64 re re)))
(+.f64 (.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) re) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(fma.f64 re (.f64 re #s(literal 1/2 binary64)) (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))))
(fma.f64 re (.f64 re #s(literal 1/2 binary64)) (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)))
(fma.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 re re) (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 re re) (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)))
(fma.f64 (.f64 re re) #s(literal 1/2 binary64) (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))))
(fma.f64 (.f64 re re) #s(literal 1/2 binary64) (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)))
(fma.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64)) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(fma.f64 (.f64 re #s(literal 1/2 binary64)) re (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))))
(fma.f64 (.f64 re #s(literal 1/2 binary64)) re (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)))
(fma.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re) (.f64 re (.f64 re #s(literal 1/2 binary64))))
(fma.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) re (.f64 re (.f64 re #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 re re) (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))))
(/.f64 (.f64 (.f64 re re) (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)))
(/.f64 (neg.f64 (.f64 (.f64 re re) (fma.f64 (.f64 re (.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 re #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (pow.f64 (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))) (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 (.f64 re re) (*.f64 re #s(literal 1/6 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (pow.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)) #s(literal 3 binary64))) (fma.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)) (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re))) (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 (.f64 re #s(literal 1/6 binary64)) (*.f64 re re))))))
(/.f64 (+.f64 (pow.f64 (.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))))) (fma.f64 (.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64)))) (.f64 (.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (.f64 re (.f64 re #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))))) (fma.f64 (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))) (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 re re) (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))))) (fma.f64 (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) re) (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) re) (-.f64 (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) re) (.f64 re (.f64 re #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))))) (fma.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)) (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)) (-.f64 (.f64 (.f64 re (.f64 re #s(literal 1/2 binary64))) (.f64 re (.f64 re #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) (.f64 re re)) (.f64 re (.f64 re #s(literal 1/2 binary64)))))))
(.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))
(.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)
(.f64 (.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

simplify1.1s (10.6%)

Memory

-109.8MiB live, 872.9MiB allocated

Algorithm

1×	egg-herbie

Rules

25 530×	`lower-fma.f64`
25 530×	`lower-fma.f32`
7 330×	`lower-+.f64`
7 330×	`lower-+.f32`
4 804×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	2466
1	768	2346
2	2673	2218
0	8366	2007

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

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

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

eval278.0ms (2.6%)

Memory: 33.3MiB live, 428.1MiB allocated
Compiler: Compiled 47 678 to 3 932 computations (91.8% saved)

prune233.0ms (2.2%)

Memory

-6.8MiB live, 560.4MiB allocated

Pruning

42 alts after pruning (29 fresh and 13 done)

	Pruned	Kept	Total
New	1 486	14	1 500
Fresh	5	15	20
Picked	1	4	5
Done	0	9	9
Total	1 492	42	1 534

Accuracy

100.0%

Counts

1 534 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.5%	(fma.f64 (.f64 (.f64 re re) im) (.f64 im #s(literal -1/4 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
✓	33.3%	(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))
	32.3%	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	30.6%	(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #s(literal 1 binary64))
	40.5%	(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))
	39.0%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
	25.9%	(/.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 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
	54.2%	(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64))) (fma.f64 (cos.f64 im) (cos.f64 im) (-.f64 (.f64 (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) re)) (.f64 (cos.f64 im) (.f64 (cos.f64 im) re)))))
	32.0%	(/.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 re (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
	67.6%	(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
	30.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	33.3%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
✓	28.8%	(+.f64 re #s(literal 1 binary64))
✓	70.6%	(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
	55.1%	(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (+.f64 re #s(literal 1 binary64))) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
✓	70.6%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
	40.5%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
	55.1%	(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) re)))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
✓	70.6%	(*.f64 (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.f64 im))
✓	68.1%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
	15.2%	(.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	68.9%	(.f64 (fma.f64 #s(literal 1 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
	28.1%	(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
	29.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
	29.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))))
	30.4%	(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
	38.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)))
✓	53.5%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	12.0%	(.f64 (.f64 re re) (.f64 im (.f64 im #s(literal -1/4 binary64))))
	13.6%	(.f64 (.f64 re re) #s(literal 1/2 binary64))
	11.2%	(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
	13.6%	(.f64 (.f64 im im) (.f64 (.f64 re re) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
✓	25.0%	(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
	12.5%	(.f64 (.f64 im im) #s(literal -1/2 binary64))
✓	59.5%	(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	70.5%	(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 re (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))))
	15.3%	(.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (.f64 im im))))
	11.9%	(.f64 #s(literal -1/2 binary64) (.f64 im (fma.f64 re im im)))
✓	66.0%	(exp.f64 re)
✓	52.2%	(cos.f64 im)
✓	28.4%	#s(literal 1 binary64)

Compiler

Compiled 1 549 to 581 computations (62.5% saved)

regimes87.0ms (0.8%)

Memory

-7.3MiB live, 185.6MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	re
18.0ms	(cos.f64 im)
17.0ms	im
15.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
14.0ms	(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)

regimes80.0ms (0.8%)

Memory

25.4MiB live, 182.4MiB allocated

Counts

53 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 re #s(literal 1 binary64))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #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 -1/2 binary64) (.f64 im (fma.f64 re im im)))
(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 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))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (.f64 im im))))
(.f64 (.f64 re re) (.f64 im (.f64 im #s(literal -1/4 binary64))))
(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.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) im) (.f64 im #s(literal -1/4 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(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 (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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (.f64 (.f64 re re) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1 binary64)) (/.f64 #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 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 re (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 im im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (*.f64 im im))) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 re (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (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.f64 im))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 re (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (-.f64 (fma.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (cos.f64 im))
(.f64 (fma.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) re)))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (+.f64 re #s(literal 1 binary64))) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64))) (-.f64 (.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))))) (cos.f64 im))

Outputs
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))
(exp.f64 re)
(*.f64 (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.f64 im))
(exp.f64 re)

Calls

5 calls:

18.0ms	re
17.0ms	(cos.f64 im)
15.0ms	im
14.0ms	(exp.f64 re)
13.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
96.7%	4	`re`
85.5%	2	`im`
98.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
90.5%	2	`(exp.f64 re)`
84.6%	2	`(cos.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes14.0ms (0.1%)

Memory

-4.6MiB live, 35.1MiB allocated

Counts

45 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 re #s(literal 1 binary64))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #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 -1/2 binary64) (.f64 im (fma.f64 re im im)))
(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 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))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (.f64 im im))))
(.f64 (.f64 re re) (.f64 im (.f64 im #s(literal -1/4 binary64))))
(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.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) im) (.f64 im #s(literal -1/4 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(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 (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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (.f64 (.f64 re re) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1 binary64)) (/.f64 #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 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 re (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 im im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (*.f64 im im))) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 re (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (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.f64 im))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1 binary64) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im))

Outputs
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (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.f64 im))
(exp.f64 re)
(*.f64 (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.f64 im))
(exp.f64 re)

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
98.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory

-5.7MiB live, 33.6MiB allocated

Counts

42 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 re #s(literal 1 binary64))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #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 -1/2 binary64) (.f64 im (fma.f64 re im im)))
(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 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))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (.f64 im im))))
(.f64 (.f64 re re) (.f64 im (.f64 im #s(literal -1/4 binary64))))
(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.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) im) (.f64 im #s(literal -1/4 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(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 (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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (.f64 (.f64 re re) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1 binary64)) (/.f64 #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 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 re (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 im im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (*.f64 im im))) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 re (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))

Outputs
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)

Calls

1 calls:

11.0ms

(*.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)

regimes28.0ms (0.3%)

Memory

-31.9MiB live, 59.7MiB allocated

Counts

41 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 re #s(literal 1 binary64))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #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 -1/2 binary64) (.f64 im (fma.f64 re im im)))
(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 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))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (.f64 im im))))
(.f64 (.f64 re re) (.f64 im (.f64 im #s(literal -1/4 binary64))))
(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.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) im) (.f64 im #s(literal -1/4 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(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 (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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (.f64 (.f64 re re) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1 binary64)) (/.f64 #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 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 re (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 im im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (*.f64 im im))) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 re (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
(cos.f64 im)
(exp.f64 re)

Calls

2 calls:

15.0ms	re
11.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
90.2%	3	`re`
98.0%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

38 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 re #s(literal 1 binary64))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #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 -1/2 binary64) (.f64 im (fma.f64 re im im)))
(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 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))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (.f64 im im))))
(.f64 (.f64 re re) (.f64 im (.f64 im #s(literal -1/4 binary64))))
(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.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) im) (.f64 im #s(literal -1/4 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(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 (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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (.f64 (.f64 re re) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1 binary64)) (/.f64 #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 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 re (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 im im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (*.f64 im im))) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 re (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(cos.f64 im)
(exp.f64 re)

Outputs
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(cos.f64 im)
(exp.f64 re)
(cos.f64 im)
(exp.f64 re)

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
97.4%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes57.0ms (0.5%)

Memory

-13.5MiB live, 100.7MiB allocated

Counts

37 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 re #s(literal 1 binary64))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #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 -1/2 binary64) (.f64 im (fma.f64 re im im)))
(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 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))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (.f64 im im))))
(.f64 (.f64 re re) (.f64 im (.f64 im #s(literal -1/4 binary64))))
(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.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) im) (.f64 im #s(literal -1/4 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(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 (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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (.f64 (.f64 re re) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1 binary64)) (/.f64 #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 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 re (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 im im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (*.f64 im im))) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 re (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(cos.f64 im)

Outputs
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(cos.f64 im)
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(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))

Calls

5 calls:

12.0ms	re
12.0ms	(cos.f64 im)
11.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
11.0ms	im
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
58.8%	2	`(cos.f64 im)`
58.8%	2	`im`
74.9%	4	`re`
71.8%	3	`(exp.f64 re)`
77.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes55.0ms (0.5%)

Memory

10.5MiB live, 89.9MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 re #s(literal 1 binary64))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #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 -1/2 binary64) (.f64 im (fma.f64 re im im)))
(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal -1/2 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))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (.f64 im im))))
(.f64 (.f64 re re) (.f64 im (.f64 im #s(literal -1/4 binary64))))
(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.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) im) (.f64 im #s(literal -1/4 binary64)) (.f64 re (*.f64 re #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(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 (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 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 im im) (.f64 (.f64 re re) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 im (*.f64 im #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal -1 binary64)) (/.f64 #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 #s(literal 1 binary64) re)) (+.f64 #s(literal 1 binary64) re)) (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 re (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 im im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re) (*.f64 im im))) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 re (fma.f64 re (.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) #s(literal 1 binary64)) (.f64 im (.f64 im #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re re #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))

Outputs

(*.f64 #s(literal -1/4 binary64) (*.f64 re (*.f64 re (*.f64 im 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))

Calls

5 calls:

13.0ms	re
13.0ms	(cos.f64 im)
10.0ms	im
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
48.8%	2	`(cos.f64 im)`
40.5%	1	`im`
48.5%	3	`(exp.f64 re)`
51.5%	4	`re`
54.2%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 im im) #s(literal -1/2 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))

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
54.1%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 im im) #s(literal -1/2 binary64))

(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
52.6%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

-28.0MiB live, 9.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(fma.f64 re (fma.f64 re #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
50.0%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	re
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
47.0%	4	`re`
37.2%	3	`(cos.f64 im)`
49.9%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
31.4%	2	`im`
38.4%	3	`re`
38.3%	3	`(exp.f64 re)`
39.7%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes10.0ms (0.1%)

Memory

-18.5MiB live, 19.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 re #s(literal 1 binary64))

Outputs
(+.f64 re #s(literal 1 binary64))

Calls

5 calls:

4.0ms	(cos.f64 im)
2.0ms	im
2.0ms	re
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
28.8%	1	`im`
28.8%	1	`(cos.f64 im)`
28.8%	1	`(exp.f64 re)`
28.8%	1	`re`
28.8%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#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
28.4%	1	`(cos.f64 im)`
28.4%	1	`im`
28.4%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
28.4%	1	`(exp.f64 re)`
28.4%	1	`re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	13.11727595516975	+inf
0.0ms	-0.0	0.01685315163762104
0.0ms	-0.01756369932159185	-1.3824647616381968e-56
0.0ms	-5.1996343470001595e+184	-0.9992076918393137

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	13.11727595516975	+inf
0.0ms	-0.0	0.01685315163762104
0.0ms	-0.01756369932159185	-1.3824647616381968e-56
0.0ms	-5.1996343470001595e+184	-0.9992076918393137

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999975575	0.9999999999999977
0.0ms	-0.0	0.01685315163762104
0.0ms	-1.3824647616381968e-56	0.0
0.0ms	-5.1996343470001595e+184	-0.9992076918393137

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999761793575145	0.9999975992368262
0.0ms	-0.0	0.01685315163762104
0.0ms	-0.01756369932159185	-1.3824647616381968e-56
0.0ms	-5.1996343470001595e+184	-0.9992076918393137

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999761793575145	0.9999975992368262
0.0ms	-0.0	0.01685315163762104
0.0ms	-1.3824647616381968e-56	0.0
0.0ms	-5.1996343470001595e+184	-0.9992076918393137

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999761793575145	0.9999975992368262
0.0ms	-0.0	0.01685315163762104
0.0ms	-1.3824647616381968e-56	0.0
0.0ms	-5.1996343470001595e+184	-0.9992076918393137

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	-0.0	0.01685315163762104

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.01685315163762104
0.0ms	-inf	-5.1996343470001595e+184

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.01685315163762104
0.0ms	-inf	-5.1996343470001595e+184

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.01685315163762104

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000002	13.11727595516975
0.0ms	-0.0	0.01685315163762104

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	0.01685315163762104

Compiler

Compiled 10 to 10 computations (0% saved)

simplify13.0ms (0.1%)

Memory

-25.6MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	583
1	107	583

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 20 binary64)) (.f64 (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.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (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.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 20 binary64)) (.f64 (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.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627361489/4503599627370496 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007019110755897/9007199254740992 binary64)) (cos.f64 im) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (cos.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007019110755897/9007199254740992 binary64)) (cos.f64 im) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (cos.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007019110755897/9007199254740992 binary64)) (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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (*.f64 im 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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 im (fma.f64 re im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 im im) #s(literal -1/2 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))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 im (fma.f64 re im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (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)) (.f64 (*.f64 im im) #s(literal -1/2 binary64)) (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)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 (.f64 re re) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (*.f64 im im) #s(literal -1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 20 binary64)) (.f64 (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.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (cos.f64 im) (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 20 binary64)) (.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))) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (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.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 20 binary64)) (.f64 (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.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.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))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 20 binary64)) (.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))) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627361489/4503599627370496 binary64)) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 (cos.f64 im) (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)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627361489/4503599627370496 binary64)) (.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007019110755897/9007199254740992 binary64)) (cos.f64 im) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007019110755897/9007199254740992 binary64)) (cos.f64 im) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (cos.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (exp.f64 re) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007019110755897/9007199254740992 binary64)) (cos.f64 im) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (.f64 (.f64 im im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (cos.f64 im) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007019110755897/9007199254740992 binary64)) (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))))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (*.f64 im 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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 im (fma.f64 re im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 im im) #s(literal -1/2 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))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 im (fma.f64 re im im))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (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)) (.f64 (*.f64 im im) #s(literal -1/2 binary64)) (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)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 (.f64 re re) #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 re re))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 (*.f64 im im) #s(literal -1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness2.0s (18.8%)

Memory

11.6MiB live, 1 105.0MiB allocated

Rules

26 644×	`lower-fma.f64`
26 644×	`lower-fma.f32`
25 530×	`lower-fma.f64`
25 530×	`lower-fma.f32`
17 940×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
0	32	65
1	123	65
2	922	65
0	8537	65
0	241	2466
1	768	2346
2	2673	2218
0	8366	2007
0	240	2497
1	760	2343
2	2624	2167
0	8417	1930
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	196	1490
1	655	1400
2	2371	1332
3	6964	1328
0	8132	1177

Stop Event

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

Compiler

Compiled 1 373 to 633 computations (53.9% saved)

preprocess171.0ms (1.6%)

Memory: 3.6MiB live, 122.8MiB allocated
Remove: (abs im)
Compiler: Compiled 1 212 to 206 computations (83% 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	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

analyze0.0ms (0%)

sample959.0ms (9.1%)

preprocess28.0ms (0.3%)

explain64.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize24.0ms (0.2%)

series4.0ms (0%)

rewrite17.0ms (0.2%)

simplify454.0ms (4.3%)

eval5.0ms (0%)

prune8.0ms (0.1%)

simplify59.0ms (0.6%)

localize79.0ms (0.8%)

series16.0ms (0.2%)

rewrite463.0ms (4.4%)

simplify405.0ms (3.8%)

eval201.0ms (1.9%)

prune112.0ms (1.1%)

simplify482.0ms (4.6%)

localize108.0ms (1%)

series23.0ms (0.2%)

rewrite396.0ms (3.8%)

simplify804.0ms (7.6%)

eval166.0ms (1.6%)

prune255.0ms (2.4%)

simplify482.0ms (4.6%)

localize127.0ms (1.2%)

series39.0ms (0.4%)

rewrite554.0ms (5.3%)

simplify1.1s (10.6%)

eval278.0ms (2.6%)

prune233.0ms (2.2%)

regimes87.0ms (0.8%)

regimes80.0ms (0.8%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes28.0ms (0.3%)

regimes12.0ms (0.1%)

regimes57.0ms (0.5%)

regimes55.0ms (0.5%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness2.0s (18.8%)

preprocess171.0ms (1.6%)

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