Metrics for math.exp on complex, real part

analyze0.0ms (0%)

Memory

-31.8MiB live, 1.3MiB 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)

sample1.1s (5.7%)

Memory

27.1MiB live, 1 495.8MiB allocated

Samples

943.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 576.0ms

ival-cos: 389.0ms (67.6% of total)

ival-exp: 124.0ms (21.5% of total)

ival-mult: 54.0ms (9.4% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess21.0ms (0.1%)

Memory

-17.5MiB live, 32.3MiB allocated

Algorithm

2×	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	16	34
1	39	34
2	72	32
3	108	32
4	166	32
5	206	32
6	250	32
7	284	32
8	295	32
9	295	32
0	5	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(* (exp re) (cos im))
(* (exp (neg re)) (cos im))
(* (exp re) (cos (neg im)))
(neg (* (exp (neg re)) (cos im)))
(neg (* (exp re) (cos (neg im))))
(* (exp im) (cos re))

Outputs
(* (exp re) (cos im))
(* (exp (neg re)) (cos im))
(/ (cos im) (exp re))
(* (exp re) (cos (neg im)))
(* (exp re) (cos im))
(neg (* (exp (neg re)) (cos im)))
(/ (cos im) (neg (exp re)))
(neg (* (exp re) (cos (neg im))))
(* (exp re) (neg (cos im)))
(* (exp im) (cos re))

Symmetry

(abs im)

explain66.0ms (0.3%)

Memory

14.4MiB live, 87.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

34.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-cos: 10.0ms (46.1% of total)

ival-mult: 7.0ms (32.3% of total)

ival-exp: 4.0ms (18.4% 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory

5.4MiB live, 5.4MiB 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×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`cos-lowering-cos.f32`
2×	`*-commutative`
2×	`exp-lowering-exp.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	6	11
0	6	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize25.0ms (0.1%)

Memory

-7.4MiB live, 29.1MiB 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

19.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-cos: 9.0ms (69.5% of total)

ival-exp: 2.0ms (15.4% of total)

ival-mult: 1.0ms (7.7% of total)

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

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

series3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (* (exp re) (cos im))>
#<alt (exp re)>
#<alt (cos im)>

Outputs
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>

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))

rewrite26.0ms (0.1%)

Memory

-10.5MiB live, 29.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	6	9
0	6	9

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 4

Calls

Call 1

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

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

simplify676.0ms (3.4%)

Memory

-15.1MiB live, 699.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 940×	`accelerator-lowering-fma.f32`
17 940×	`accelerator-lowering-fma.f64`
3 878×	`-lowering-.f32`
3 878×	`-lowering-.f64`
2 422×	`--lowering--.f32`

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 (fma.f64 im (fma.f64 (fma.f64 im im #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 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 (fma.f64 im im #s(literal 0 binary64)) (fma.f64 im (fma.f64 im (fma.f64 (fma.f64 im im #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 0 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 (fma.f64 im (fma.f64 (fma.f64 im im #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (fma.f64 im im #s(literal 0 binary64)) (fma.f64 im (fma.f64 im (fma.f64 (fma.f64 im im #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 0 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: 12.4MiB live, 12.4MiB allocated
Compiler: Compiled 346 to 40 computations (88.4% saved)

prune7.0ms (0%)

Memory

-21.7MiB live, 16.8MiB 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
▶	70.4%	(*.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))
	66.9%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
▶	54.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
▶	62.8%	(.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))
▶	69.3%	(exp.f64 re)
▶	53.7%	(cos.f64 im)

Compiler

Compiled 115 to 81 computations (29.6% saved)

simplify46.0ms (0.2%)

Memory

7.7MiB live, 83.9MiB 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×	`accelerator-lowering-fma.f32`
1 432×	`accelerator-lowering-fma.f64`
620×	`-lowering-.f32`
620×	`-lowering-.f64`
384×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	96
1	56	96
2	130	96
3	311	96
4	516	96
5	990	96
6	1128	96
0	1128	85

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize78.0ms (0.4%)

Memory

-0.7MiB live, 149.7MiB 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	95.0%	(.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%	(*.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	99.9%	(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 re (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	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))

Samples

44.0ms

256×

valid

Compiler

Compiled 87 to 23 computations (73.6% saved)

Precisions

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

ival-mult: 11.0ms (36% of total)

ival-cos: 7.0ms (22.9% of total)

ival-add: 6.0ms (19.6% of total)

const: 4.0ms (13.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

28.9MiB live, 28.9MiB allocated

Counts

11 → 168

Calls

Call 1

Inputs
#<alt (* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))>
#<alt (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)>
#<alt (+ (* re (+ (* re 1/6) 1/2)) 1)>
#<alt (+ (* re 1/6) 1/2)>
#<alt (cos im)>
#<alt (exp re)>
#<alt (* (+ re 1) (cos im))>
#<alt (+ re 1)>
#<alt (* (exp re) (+ (* im (* im -1/2)) 1))>
#<alt (+ (* im (* im -1/2)) 1)>
#<alt (* im -1/2)>

Outputs
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))>
#<alt (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<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))))))))))))>
#<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)))))))))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (* re (cos im))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (cos im))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (+ 1 re)>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))>
#<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)))))))))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (* -1/2 (pow im 2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>

Calls

42 calls:

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

rewrite487.0ms (2.4%)

Memory

-27.3MiB live, 884.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 754×	`accelerator-lowering-fma.f32`
9 754×	`accelerator-lowering-fma.f64`
6 094×	`-lowering-.f32`
6 094×	`-lowering-.f64`
4 090×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	76
1	112	76
2	910	76
0	8507	65

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 529

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 im) (.f64 (cos.f64 im) (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.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) (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (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))
(+.f64 (.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im)) (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(+.f64 (.f64 (+.f64 #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 re (cos.f64 im)))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (.f64 (cos.f64 im) (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (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))))
(fma.f64 #s(literal 1 binary64) (.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))
(fma.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))
(fma.f64 (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 im) (cos.f64 im))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (.f64 (cos.f64 im) (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (.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))))
(fma.f64 (cos.f64 im) (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(fma.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))))
(fma.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))
(fma.f64 (.f64 re (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(fma.f64 (*.f64 (cos.f64 im) re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 (.f64 (cos.f64 im) (.f64 re (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 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im) (*.f64 re (cos.f64 im)))
(fma.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) re (cos.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (.f64 re (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (cos.f64 im) (fma.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (.f64 re (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 (fma.f64 re (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 (cos.f64 im) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (*.f64 re (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 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (.f64 re (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (.f64 re (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 #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)) (.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (*.f64 re (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 (cos.f64 im) (/.f64 #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))))
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(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im)))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #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 (.f64 im im) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 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))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.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 1/4 binary64) (.f64 im (.f64 im (.f64 im im))))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1/4 binary64) (.f64 im (.f64 im (.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 #s(literal 1/4 binary64) (.f64 im (.f64 im (.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 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im)))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.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 #s(literal 1/2 binary64) (.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 (.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im)))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #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 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im)))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.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 #s(literal 1/2 binary64) (.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 (.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im)))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #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 (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)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #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 im) (.f64 im (.f64 im (.f64 im im)))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 im im))))) (-.f64 (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.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 im) (.f64 im (.f64 im (.f64 im im)))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #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 im) (.f64 im (.f64 im (.f64 im im)))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #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) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.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 #s(literal 1/2 binary64) (.f64 im im) #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 #s(literal 1/2 binary64) (*.f64 im im) #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) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #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 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 0 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 #s(literal 0 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 im (.f64 im (.f64 im im))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1/4 binary64) (.f64 im (.f64 im (.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))

simplify443.0ms (2.2%)

Memory

15.8MiB live, 843.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 940×	`accelerator-lowering-fma.f32`
15 940×	`accelerator-lowering-fma.f64`
4 296×	`+-lowering-+.f64`
4 296×	`+-lowering-+.f32`
4 130×	`-lowering-.f32`

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 → 168

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))) (-.f64 #s(literal 0 binary64) 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 (fma.f64 re (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 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)))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (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))

eval96.0ms (0.5%)

Memory: 21.5MiB live, 245.8MiB allocated
Compiler: Compiled 18 417 to 1 868 computations (89.9% saved)

prune125.0ms (0.6%)

Memory

-13.5MiB live, 214.8MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	731	13	744
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	732	19	751

Accuracy

100.0%

Counts

751 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(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))
	43.4%	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	40.8%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	31.4%	(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
	30.8%	(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
	69.3%	(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
	30.1%	(+.f64 re #s(literal 1 binary64))
	57.4%	(.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))
▶	70.4%	(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
▶	42.4%	(.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)))
✓	70.4%	(*.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))
	40.1%	(.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)))
	66.9%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
	31.9%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	54.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	69.3%	(exp.f64 re)
✓	53.7%	(cos.f64 im)
▶	29.6%	#s(literal 1 binary64)

Compiler

Compiled 392 to 259 computations (33.9% saved)

simplify1.1s (5.3%)

Memory

76.5MiB live, 1 654.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(*.f64 im #s(literal 1/24 binary64))
✓	cost-diff	0	(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 re re)
✓	cost-diff	0	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
✓	cost-diff	128	(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))

Rules

46 328×	`accelerator-lowering-fma.f32`
46 328×	`accelerator-lowering-fma.f64`
6 268×	`+-lowering-+.f64`
6 268×	`+-lowering-+.f32`
3 456×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	165
1	93	165
2	228	165
3	723	165
4	2895	165
5	3366	165
6	3555	165
7	3583	165
8	3589	165
9	3590	165
10	7670	165
11	7680	165
12	7736	165
13	7736	165
14	7848	165
15	7848	165
0	8475	140

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize137.0ms (0.7%)

Memory

-32.4MiB live, 246.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 im #s(literal -1/2 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%	(fma.f64 re (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	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.6%	(*.f64 im #s(literal 1/24 binary64))
✓	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	100.0%	(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
✓	accuracy	99.9%	(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
✓	accuracy	99.7%	(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))

Samples

71.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 144 to 35 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 22.0ms (40.8% of total)

ival-add: 15.0ms (27.8% of total)

const: 11.0ms (20.4% of total)

ival-cos: 5.0ms (9.3% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

31.7MiB live, 31.7MiB allocated

Counts

15 → 204

Calls

Call 1

Inputs
#<alt (+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1))>
#<alt (* (+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1)) (cos im))>
#<alt (+ (* re 1/6) 1/2)>
#<alt (* re re)>
#<alt (+ (* re (+ (* re 1/2) 1)) 1)>
#<alt (+ (* re 1/2) 1)>
#<alt (+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1)>
#<alt (* im (+ (* im (* im 1/24)) -1/2))>
#<alt (+ (* im (* im 1/24)) -1/2)>
#<alt (* im 1/24)>
#<alt (* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (+ (* im (* im -1/2)) 1))>
#<alt (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)>
#<alt (+ (* re (+ (* re 1/6) 1/2)) 1)>
#<alt (cos im)>
#<alt (* im -1/2)>

Outputs
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))>
#<alt (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))>
#<alt (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))>
#<alt (+ 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))))))>
#<alt (+ 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))))))>
#<alt (+ 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))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt (pow re 2)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* -1/2 im)>
#<alt (* im (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* im (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* im (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* 1/24 (pow im 3))>
#<alt (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 3))>
#<alt (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))>
#<alt (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))>
#<alt (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))>
#<alt -1/2>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))>
#<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)))))))))))>
#<alt (* 1/6 (* (pow re 3) (+ 1 (* -1/2 (pow im 2)))))>
#<alt (* (pow re 3) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re))))>
#<alt (* (pow re 3) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (/ 1 (pow re 2))))))>
#<alt (* (pow re 3) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/2 (/ (pow im 2) (pow re 3))) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))>
#<alt (* 1/6 (* (pow re 3) (+ 1 (* -1/2 (pow im 2)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -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))))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	im	@	0	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (+ (* im (* im -1/2)) 1))
1.0ms	im	@	inf	(* (+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1)) (cos im))
0.0ms	im	@	inf	(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (+ (* im (* im -1/2)) 1))
0.0ms	im	@	0	(* (+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1)) (cos im))
0.0ms	im	@	inf	(+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1)

rewrite10.1s (50.2%)

Memory

-76.1MiB live, 982.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 704×	`accelerator-lowering-fma.f32`
5 704×	`accelerator-lowering-fma.f64`
4 346×	`/-lowering-/.f32`
4 346×	`/-lowering-/.f64`
3 876×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	131
1	205	131
2	1819	131
0	8538	108

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 753

Calls

Call 1

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

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

simplify454.0ms (2.3%)

Memory

6.0MiB live, 672.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 502×	`accelerator-lowering-fma.f32`
12 502×	`accelerator-lowering-fma.f64`
5 138×	`-lowering-.f32`
5 138×	`-lowering-.f64`
2 922×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	2261
1	826	2162
2	3221	2057
3	7070	2051
0	8115	1812

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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))))))
1/2
(+ 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))))
(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
(+ 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) (- (* 1/24 (pow im 2)) 1/2)))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* -1/2 im)
(* im (- (* 1/24 (pow im 2)) 1/2))
(* im (- (* 1/24 (pow im 2)) 1/2))
(* im (- (* 1/24 (pow im 2)) 1/2))
(* 1/24 (pow im 3))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 3))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 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)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))
(* 1/6 (* (pow re 3) (+ 1 (* -1/2 (pow im 2)))))
(* (pow re 3) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re))))
(* (pow re 3) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (/ 1 (pow re 2))))))
(* (pow re 3) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/2 (/ (pow im 2) (pow re 3))) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
(* 1/6 (* (pow re 3) (+ 1 (* -1/2 (pow im 2)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -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))))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))
(+ 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 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 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)))))))
(* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
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
(+ 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 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
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 re (*.f64 re #s(literal 1/6 binary64))))
(* (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)))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (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 re (*.f64 re #s(literal 1/6 binary64))))
(* (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)) (-.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 -1/2 binary64) (/.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal -1 binary64) (.f64 re 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 (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 (.f64 re (.f64 re re)) (.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* (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 (.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 (.f64 re (.f64 re re)) (.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (/.f64 (cos.f64 im) re))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (*.f64 (cos.f64 im) #s(literal -1/6 binary64)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (cos.f64 im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (*.f64 (cos.f64 im) #s(literal -1/6 binary64)))))
(+ 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 im (.f64 im (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 -1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re #s(literal -1/2 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)))
(* (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)))
1/2
#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))
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
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) (- (* 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))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* im (- (* 1/24 (pow im 2)) 1/2))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* im (- (* 1/24 (pow im 2)) 1/2))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* im (- (* 1/24 (pow im 2)) 1/2))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* 1/24 (pow im 3))
(.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 im (.f64 im im)))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 im (.f64 im im)))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 im (.f64 im im)))
(* 1/24 (pow im 3))
(.f64 im (.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 im (.f64 im im)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 im (.f64 im im)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 im (.f64 im im)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* 1/24 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))
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(*.f64 im #s(literal 1/24 binary64))
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(*.f64 im #s(literal 1/24 binary64))
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(*.f64 im #s(literal 1/24 binary64))
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(*.f64 im #s(literal 1/24 binary64))
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(*.f64 im #s(literal 1/24 binary64))
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(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
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(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #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 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)))
(+ 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 re (fma.f64 re (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (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)))
(* 1/6 (* (pow re 3) (+ 1 (* -1/2 (pow im 2)))))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(* (pow re 3) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re))))
(.f64 re (fma.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64)) (.f64 re (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(* (pow re 3) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (/ 1 (pow re 2))))))
(fma.f64 re (.f64 #s(literal -1/2 binary64) (.f64 im im)) (fma.f64 re (fma.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64)) (.f64 re (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) re))
(* (pow re 3) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/2 (/ (pow im 2) (pow re 3))) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im (/.f64 im (.f64 re re))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (fma.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (.f64 re (*.f64 re re)))))))
(* 1/6 (* (pow re 3) (+ 1 (* -1/2 (pow im 2)))))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))
(.f64 re (fma.f64 (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64)) (.f64 re (fma.f64 (*.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) re) (fma.f64 im (/.f64 (.f64 im #s(literal -1/2 binary64)) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -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))))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 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 (+ (* -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 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 (+ (* -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 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 (+ (* -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 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)))
(* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
(.f64 #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)) (*.f64 im im)))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
(.f64 #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)) (*.f64 im im)))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
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 re (*.f64 re #s(literal 1/6 binary64))))
(* (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)))))
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (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 re (*.f64 re #s(literal 1/6 binary64))))
(* (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)) (-.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 -1/2 binary64) (/.f64 #s(literal 1 binary64) re)) (/.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 re (.f64 re #s(literal 1/6 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)) (/ 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 re (.f64 re #s(literal 1/6 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)) (/ 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
#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)
(* -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))

eval153.0ms (0.8%)

Memory: 37.2MiB live, 349.5MiB allocated
Compiler: Compiled 49 460 to 2 431 computations (95.1% saved)

prune187.0ms (0.9%)

Memory

-0.8MiB live, 309.8MiB allocated

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	975	20	995
Fresh	2	7	9
Picked	1	4	5
Done	0	5	5
Total	978	36	1 014

Accuracy

100.0%

Counts

1 014 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.8%	(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))
	43.4%	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	40.8%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	16.7%	(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
✓	31.4%	(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
	30.8%	(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶	69.3%	(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
	32.9%	(/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.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)))
	37.8%	(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
	33.0%	(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
	24.4%	(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
▶	30.1%	(+.f64 re #s(literal 1 binary64))
	32.8%	(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	57.4%	(.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))
	42.4%	(.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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	70.4%	(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
	43.4%	(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
✓	70.4%	(*.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))
	42.4%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	66.9%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
	33.5%	(.f64 (fma.f64 re (/.f64 (fma.f64 (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)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	33.5%	(.f64 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (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)))))))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	33.9%	(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	31.9%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	54.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	17.0%	(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	17.2%	(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	16.9%	(.f64 (.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	16.9%	(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	14.3%	(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
	14.1%	(.f64 #s(literal 1/2 binary64) (.f64 re re))
▶	15.4%	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
✓	69.3%	(exp.f64 re)
✓	53.7%	(cos.f64 im)
✓	29.6%	#s(literal 1 binary64)

Compiler

Compiled 1 259 to 720 computations (42.8% saved)

simplify607.0ms (3%)

Memory

-1.8MiB live, 772.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	1152	(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
✓	cost-diff	1664	(fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64))
✓	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	(.f64 (.f64 im im) (*.f64 im im))
✓	cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
✓	cost-diff	0	(+.f64 re #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
✓	cost-diff	6400	(exp.f64 #s(literal 1 binary64))

Rules

18 514×	`accelerator-lowering-fma.f32`
18 514×	`accelerator-lowering-fma.f64`
4 960×	`-lowering-.f32`
4 960×	`-lowering-.f64`
1 996×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	219
1	105	211
2	330	207
3	1099	189
4	5452	183
5	6411	183
6	7091	183
7	7498	183
8	7687	183
9	7899	183
0	8057	159

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize154.0ms (0.8%)

Memory

15.2MiB live, 239.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.2%	(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
✓	accuracy	89.2%	(/.f64 re (*.f64 im im))
✓	accuracy	76.4%	(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
✓	accuracy	59.3%	(fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 im im)
✓	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	99.9%	(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) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 im im)
✓	accuracy	99.9%	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
✓	accuracy	99.8%	(.f64 (.f64 im im) (*.f64 im im))
✓	accuracy	100.0%	(+.f64 re #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(pow.f64 (exp.f64 #s(literal 1 binary64)) re)

Samples

116.0ms

256×

valid

Compiler

Compiled 196 to 36 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 57.0ms (65.7% of total)

ival-add: 12.0ms (13.8% of total)

const: 9.0ms (10.4% of total)

ival-pow: 4.0ms (4.6% of total)

ival-exp: 3.0ms (3.5% of total)

ival-div: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.1%)

Memory

-9.2MiB live, 63.6MiB allocated

Counts

15 → 228

Calls

Call 1

Inputs
#<alt (exp 1)>
#<alt (pow (exp 1) re)>
#<alt (+ re 1)>
#<alt (* 1/24 (* (* im im) (* im im)))>
#<alt (* (* im im) (* im im))>
#<alt (* im im)>
#<alt (+ (* (* im im) (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)) 1)>
#<alt (+ (* (* im im) (+ (* (* im im) -1/720) 1/24)) -1/2)>
#<alt (+ (* (* im im) -1/720) 1/24)>
#<alt (+ (* (* im im) (* (+ (* re (+ (* re 1/6) 1/2)) 1) (/ re (* im im)))) 1)>
#<alt (+ (* im (* im (+ (* (+ (* re (+ (* re 1/6) 1/2)) 1) (* re -1/2)) -1/2))) (+ (* (* im im) (* (+ (* re (+ (* re 1/6) 1/2)) 1) (/ re (* im im)))) 1))>
#<alt (* im (+ (* (+ (* re (+ (* re 1/6) 1/2)) 1) (* re -1/2)) -1/2))>
#<alt (+ (* (+ (* re (+ (* re 1/6) 1/2)) 1) (* re -1/2)) -1/2)>
#<alt (/ re (* im im))>
#<alt (* (+ (* re (+ (* re 1/6) 1/2)) 1) (/ re (* im im)))>

Outputs
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (* 1/24 (pow im 4))>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 4)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (* -1/720 (pow im 6))>
#<alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* -1/720 (pow im 6))>
#<alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt -1/2>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)>
#<alt (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)>
#<alt (* -1/720 (pow im 4))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* -1/720 (pow im 4))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow im 2)))>
#<alt (+ 1/24 (* -1/720 (pow im 2)))>
#<alt (+ 1/24 (* -1/720 (pow im 2)))>
#<alt (* -1/720 (pow im 2))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* -1/720 (pow im 2))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))))>
#<alt (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))))>
#<alt (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))))>
#<alt (* (pow im 2) (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))) 1/2))>
#<alt (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))) 1/2))>
#<alt (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))) 1/2))>
#<alt (* (pow im 2) (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))) 1/2))>
#<alt (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))) 1/2))>
#<alt (* (pow im 2) (- (+ (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))) 1/2))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1/2 (* -1/4 (pow im 2)))))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1/2 (+ (* -1/4 (pow im 2)) (* re (+ 1/6 (* -1/12 (pow im 2))))))))))))>
#<alt (* (pow re 3) (+ 1/6 (* -1/12 (pow im 2))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* -1/4 (/ (pow im 2) re)) (+ (* -1/12 (pow im 2)) (* 1/2 (/ 1 re))))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/4 (/ (pow im 2) re)) (+ (* -1/12 (pow im 2)) (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/2 (/ (pow im 2) (pow re 3))) (+ (* -1/4 (/ (pow im 2) re)) (+ (* -1/12 (pow im 2)) (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))))>
#<alt (* -1 (* (pow re 3) (- (* 1/12 (pow im 2)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (+ (* -1 (/ (+ 1/2 (* -1/4 (pow im 2))) re)) (* 1/12 (pow im 2))) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* 1/2 (pow im 2)) 1) re)) (* -1/4 (pow im 2)))) re)) (* 1/12 (pow im 2))) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)) (* 1/2 (pow im 2))) 1) re)) (* -1/4 (pow im 2)))) re)) (* 1/12 (pow im 2))) 1/6)))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* im (- (* -1/2 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) 1/2))>
#<alt (* -1/2 im)>
#<alt (+ (* -1/2 im) (* -1/2 (* im re)))>
#<alt (+ (* -1/2 im) (* re (+ (* -1/2 im) (* -1/4 (* im re)))))>
#<alt (+ (* -1/2 im) (* re (+ (* -1/2 im) (* re (+ (* -1/4 im) (* -1/12 (* im re)))))))>
#<alt (* -1/12 (* im (pow re 3)))>
#<alt (* (pow re 3) (+ (* -1/4 (/ im re)) (* -1/12 im)))>
#<alt (* (pow re 3) (+ (* -1/2 (/ im (pow re 2))) (+ (* -1/4 (/ im re)) (* -1/12 im))))>
#<alt (* (pow re 3) (+ (* -1/2 (/ im (pow re 2))) (+ (* -1/2 (/ im (pow re 3))) (+ (* -1/4 (/ im re)) (* -1/12 im)))))>
#<alt (* -1/12 (* im (pow re 3)))>
#<alt (* -1 (* (pow re 3) (+ (* 1/12 im) (* 1/4 (/ im re)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1/2 (/ im re)) (* -1/4 im)) re)) (* 1/12 im))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 im) (* 1/2 (/ im re))) re)) (* -1/4 im)) re)) (* 1/12 im))))>
#<alt -1/2>
#<alt (- (* -1/2 re) 1/2)>
#<alt (- (* re (- (* -1/4 re) 1/2)) 1/2)>
#<alt (- (* re (- (* re (- (* -1/12 re) 1/4)) 1/2)) 1/2)>
#<alt (* -1/12 (pow re 3))>
#<alt (* -1 (* (pow re 3) (+ 1/12 (* 1/4 (/ 1 re)))))>
#<alt (* (pow re 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 re))) re)) 1/12))>
#<alt (* (pow re 3) (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 re))) (pow re 2))) (+ 1/12 (* 1/4 (/ 1 re)))))>
#<alt (* -1/12 (pow re 3))>
#<alt (* -1 (* (pow re 3) (+ 1/12 (* 1/4 (/ 1 re)))))>
#<alt (* -1 (* (pow re 3) (+ 1/12 (+ (/ 1/2 (pow re 2)) (* 1/4 (/ 1 re))))))>
#<alt (* -1 (* (pow re 3) (+ 1/12 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 re))) re)) 1/4) re)))))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (/ re (pow im 2))>
#<alt (* re (+ (* 1/2 (/ re (pow im 2))) (/ 1 (pow im 2))))>
#<alt (* re (+ (* re (+ (* 1/6 (/ re (pow im 2))) (* 1/2 (/ 1 (pow im 2))))) (/ 1 (pow im 2))))>
#<alt (* re (+ (* re (+ (* 1/6 (/ re (pow im 2))) (* 1/2 (/ 1 (pow im 2))))) (/ 1 (pow im 2))))>
#<alt (* 1/6 (/ (pow re 3) (pow im 2)))>
#<alt (* (pow re 3) (+ (* 1/2 (/ 1 (* (pow im 2) re))) (* 1/6 (/ 1 (pow im 2)))))>
#<alt (* (pow re 3) (+ (/ 1/2 (* (pow im 2) re)) (+ (/ 1 (* (pow im 2) (pow re 2))) (* 1/6 (/ 1 (pow im 2))))))>
#<alt (* (pow re 3) (+ (/ 1/2 (* (pow im 2) re)) (+ (/ 1 (* (pow im 2) (pow re 2))) (* 1/6 (/ 1 (pow im 2))))))>
#<alt (* 1/6 (/ (pow re 3) (pow im 2)))>
#<alt (* (pow re 3) (+ (* 1/2 (/ 1 (* (pow im 2) re))) (* 1/6 (/ 1 (pow im 2)))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ (/ 1 (* (pow im 2) re)) (* 1/2 (/ 1 (pow im 2)))) re)) (* 1/6 (/ 1 (pow im 2))))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ (/ 1 (* (pow im 2) re)) (* 1/2 (/ 1 (pow im 2)))) re)) (* 1/6 (/ 1 (pow im 2))))))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>
#<alt (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))>

Calls

57 calls:

Time	Variable		Point	Expression
10.0ms	re	@	0	(/ re (* im im))
4.0ms	im	@	0	(* 1/24 (* (* im im) (* im im)))
1.0ms	re	@	inf	(/ re (* im im))
1.0ms	im	@	inf	(+ (* im (* im (+ (* (+ (* re (+ (* re 1/6) 1/2)) 1) (* re -1/2)) -1/2))) (+ (* (* im im) (* (+ (* re (+ (* re 1/6) 1/2)) 1) (/ re (* im im)))) 1))
1.0ms	im	@	0	(* im (+ (* (+ (* re (+ (* re 1/6) 1/2)) 1) (* re -1/2)) -1/2))

rewrite429.0ms (2.1%)

Memory

-23.8MiB live, 1 020.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 322×	`accelerator-lowering-fma.f32`
5 322×	`accelerator-lowering-fma.f64`
4 996×	`-lowering-.f32`
4 996×	`-lowering-.f64`
3 518×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	175
1	229	166
2	1992	166
0	8343	142

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 539

Calls

Call 1

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

Outputs
(E.f64)
(log.f64 (exp.f64 (E.f64)))
(exp.f64 #s(literal 1 binary64))
(sqrt.f64 (*.f64 (E.f64) (E.f64)))
(cbrt.f64 (.f64 (.f64 (E.f64) (E.f64)) (E.f64)))
(pow.f64 (E.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 (E.f64) (E.f64)) (E.f64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (E.f64))
(.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) (cbrt.f64 (E.f64)))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (E.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (E.f64)) #s(literal 1 binary64)))
(exp.f64 re)
(exp.f64 (.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (E.f64) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (E.f64) (E.f64))) (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1 binary64) (.f64 re #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) re)
(pow.f64 (E.f64) (fma.f64 re #s(literal 1/2 binary64) (*.f64 re #s(literal 1/2 binary64))))
(pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/2 binary64))))
(pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (pow.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 re #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) re) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64)) re)
(.f64 (pow.f64 (E.f64) (.f64 re #s(literal 1/2 binary64))) (pow.f64 (E.f64) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) re) (exp.f64 re))
(.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) re) (pow.f64 (cbrt.f64 (E.f64)) re))
(.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))) (exp.f64 re))
(.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 re #s(literal 1/2 binary64) (.f64 re #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 re #s(literal 1/2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))) (exp.f64 re))
(.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 re #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 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 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(/.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) re)))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re re #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(/.f64 (neg.f64 (fma.f64 re (.f64 re re) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) re))))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (-.f64 (.f64 (.f64 re re) (+.f64 re #s(literal -1 binary64))) (.f64 (+.f64 re #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 re #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re re #s(literal -1 binary64))) #s(literal -1 binary64))
(.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 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im (.f64 im im))))
(.f64 im (.f64 (.f64 im (.f64 im im)) #s(literal 1/24 binary64)))
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(/.f64 (neg.f64 (.f64 (/.f64 re (.f64 im im)) (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 im im))))
(/.f64 (neg.f64 (*.f64 (/.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 im))
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(/.f64 (+.f64 (/.f64 (.f64 re (.f64 re re)) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) (pow.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (.f64 im im))) #s(literal 3 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (/.f64 re (.f64 im im)) (-.f64 (.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (.f64 im im))) (.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (.f64 im im)))) (.f64 (/.f64 re (.f64 im im)) (.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (.f64 im im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 re (.f64 im im)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 re (.f64 im im)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 re (.f64 im im)) #s(literal 1 binary64)) (.f64 (/.f64 re (.f64 im im)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (/.f64 re (.f64 im im)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 (/.f64 re (.f64 im im)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 (.f64 (/.f64 re (.f64 im im)) #s(literal 1 binary64)) (.f64 (/.f64 re (.f64 im im)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 re (.f64 im im)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 re (.f64 im im)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 re (.f64 im im)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 (/.f64 re (.f64 im im)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (/.f64 re (.f64 im im)) #s(literal 1 binary64)) (.f64 (/.f64 re (.f64 im im)) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 re (.f64 im im)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 (/.f64 re (.f64 im im)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (.f64 im im))) #s(literal 3 binary64)) (/.f64 (.f64 re (.f64 re re)) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (fma.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (.f64 im im))) (.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (.f64 im im))) (-.f64 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (.f64 im im))) (.f64 (.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 re (.f64 im im))) (/.f64 re (.f64 im im))))))
(pow.f64 (/.f64 (.f64 im im) (.f64 re (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 re (.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(.f64 (/.f64 re (.f64 im im)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) re)))
(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 im im)))
(*.f64 (/.f64 re im) (/.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))
(*.f64 (/.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) (/.f64 re im))
(*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 im re)))
(.f64 (/.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 im im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) re) im) (/.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 im)))
(.f64 (/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) im) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 re re) (.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))) #s(literal 1 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (/.f64 im re)))
(.f64 (/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (.f64 im im)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 re re) (.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))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) re)))
(.f64 (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) im) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 im re)))
(.f64 (/.f64 (fma.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (.f64 im im)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) re)))
(.f64 (/.f64 (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 #s(literal 0 binary64) re) (.f64 im im)))
(*.f64 (/.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 im)) (/.f64 (-.f64 #s(literal 0 binary64) re) im))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) re) #s(literal -1 binary64)) (/.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 im im)))

simplify594.0ms (3%)

Memory

40.0MiB live, 750.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 250×	`accelerator-lowering-fma.f32`
13 250×	`accelerator-lowering-fma.f64`
5 568×	`+-lowering-+.f64`
5 568×	`+-lowering-+.f32`
4 640×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	2637
1	926	2615
2	3165	2474
3	7865	2474
0	8079	2251

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 re)
(+.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)
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(* 1/24 (pow im 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.f64 im im))
(pow im 4)
(.f64 (.f64 im im) (*.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)
(pow im 2)
(*.f64 im im)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 (.f64 im im) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/720 (pow im 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (*.f64 im im)))))
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/720 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (*.f64 im im)))))
(* -1/720 (pow im 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))))
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (*.f64 im im)))))
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/720 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (*.f64 im im)))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(* -1/720 (pow im 4))
(.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) im) im)
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* -1/720 (pow im 4))
(.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) im) im)
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im)))))
(* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))
(.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im)))))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(* -1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/720 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(.f64 (.f64 im im) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))
(+ 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
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(.f64 (.f64 re (.f64 re re)) (+.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)))))
(* -1 (* (pow re 3) (+ 1/12 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ 1 re))) re)) 1/4) re)))))
(.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) re)) re)) (-.f64 #s(literal 0 binary64) (.f64 re (*.f64 re re))))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(/ re (pow im 2))
(/.f64 re (*.f64 im im))
(* re (+ (* 1/2 (/ re (pow im 2))) (/ 1 (pow im 2))))
(.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(* re (+ (* re (+ (* 1/6 (/ re (pow im 2))) (* 1/2 (/ 1 (pow im 2))))) (/ 1 (pow im 2))))
(.f64 re (fma.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 im im))))
(* re (+ (* re (+ (* 1/6 (/ re (pow im 2))) (* 1/2 (/ 1 (pow im 2))))) (/ 1 (pow im 2))))
(.f64 re (fma.f64 (/.f64 re (.f64 im im)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 im im))))
(* 1/6 (/ (pow re 3) (pow im 2)))
(/.f64 (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re re))) (.f64 im im))
(* (pow re 3) (+ (* 1/2 (/ 1 (* (pow im 2) re))) (* 1/6 (/ 1 (pow im 2)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* (pow re 3) (+ (/ 1/2 (* (pow im 2) re)) (+ (/ 1 (* (pow im 2) (pow re 2))) (* 1/6 (/ 1 (pow im 2))))))
(.f64 re (.f64 (.f64 re re) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (.f64 re (.f64 re (*.f64 im im)))))))
(* (pow re 3) (+ (/ 1/2 (* (pow im 2) re)) (+ (/ 1 (* (pow im 2) (pow re 2))) (* 1/6 (/ 1 (pow im 2))))))
(.f64 re (.f64 (.f64 re re) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 #s(literal 1 binary64) (.f64 re (.f64 re (*.f64 im im)))))))
(* 1/6 (/ (pow re 3) (pow im 2)))
(/.f64 (.f64 re (.f64 #s(literal 1/6 binary64) (.f64 re re))) (.f64 im im))
(* (pow re 3) (+ (* 1/2 (/ 1 (* (pow im 2) re))) (* 1/6 (/ 1 (pow im 2)))))
(.f64 (.f64 re (.f64 re re)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ (/ 1 (* (pow im 2) re)) (* 1/2 (/ 1 (pow im 2)))) re)) (* 1/6 (/ 1 (pow im 2))))))
(.f64 (.f64 re (.f64 re re)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 im im)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 #s(literal 1 binary64) (.f64 re (*.f64 im im)))) re)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ (/ 1 (* (pow im 2) re)) (* 1/2 (/ 1 (pow im 2)))) re)) (* 1/6 (/ 1 (pow im 2))))))
(.f64 (.f64 re (.f64 re re)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 im im)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 #s(literal 1 binary64) (.f64 re (*.f64 im im)))) re)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))
(/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2))
(.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im)))

eval170.0ms (0.8%)

Memory: 5.4MiB live, 191.4MiB allocated
Compiler: Compiled 38 785 to 2 161 computations (94.4% saved)

prune228.0ms (1.1%)

Memory

-12.0MiB live, 151.6MiB allocated

Pruning

40 alts after pruning (29 fresh and 11 done)

	Pruned	Kept	Total
New	871	10	881
Fresh	3	19	22
Picked	3	2	5
Done	0	9	9
Total	877	40	917

Accuracy

100.0%

Counts

917 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.5%	(fma.f64 (.f64 im im) (.f64 (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) im) im) #s(literal 1 binary64))
	30.8%	(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
	43.4%	(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	40.8%	(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
	21.3%	(fma.f64 im (fma.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im (/.f64 re (.f64 im im))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
	15.6%	(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (.f64 (*.f64 im im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	31.4%	(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
	17.4%	(fma.f64 im (.f64 im (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
	23.0%	(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im))) #s(literal 1 binary64)))
	69.3%	(pow.f64 (E.f64) re)
	32.9%	(/.f64 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.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)))
	37.8%	(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
	33.0%	(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
	24.4%	(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
✓	30.1%	(+.f64 re #s(literal 1 binary64))
	32.8%	(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	57.4%	(.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))
	42.4%	(.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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	70.4%	(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
	43.4%	(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
✓	70.4%	(*.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))
	42.4%	(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	66.9%	(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
	33.9%	(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	31.9%	(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	54.6%	(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
	17.0%	(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	15.4%	(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)
	17.2%	(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	16.9%	(.f64 (.f64 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	16.9%	(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))
	15.4%	(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	14.3%	(*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
	14.1%	(.f64 #s(literal 1/2 binary64) (.f64 re re))
✓	15.4%	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
✓	69.3%	(exp.f64 re)
✓	53.7%	(cos.f64 im)
	3.6%	re
✓	29.6%	#s(literal 1 binary64)

Compiler

Compiled 1 522 to 580 computations (61.9% saved)

regimes96.0ms (0.5%)

Memory

-53.5MiB live, 110.2MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(*.f64 re (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 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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 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 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 (fma.f64 (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)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im (/.f64 re (.f64 im im))) (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 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (.f64 (*.f64 im im) (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 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (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 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (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)))))))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.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 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
(*.f64 (exp.f64 re) (cos.f64 im))

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

Calls

5 calls:

26.0ms	(exp.f64 re)
26.0ms	re
16.0ms	im
14.0ms	(cos.f64 im)
12.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

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)

regimes102.0ms (0.5%)

Memory

36.3MiB live, 114.8MiB allocated

Counts

49 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(*.f64 re (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 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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 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 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 (fma.f64 (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)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im (/.f64 re (.f64 im im))) (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 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (.f64 (*.f64 im im) (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 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (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 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (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)))))))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.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 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)

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

Calls

5 calls:

34.0ms	im
28.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
13.0ms	re
13.0ms	(cos.f64 im)
11.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
98.8%	4	`re`
87.1%	2	`im`
99.6%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
92.8%	2	`(exp.f64 re)`
87.2%	2	`(cos.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes35.0ms (0.2%)

Memory

-10.5MiB live, 25.5MiB allocated

Counts

46 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(*.f64 re (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 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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 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 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 (fma.f64 (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)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im (/.f64 re (.f64 im im))) (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 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (.f64 (*.f64 im im) (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 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (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 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (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)))))))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.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))

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

Calls

1 calls:

13.0ms

re

Results

Accuracy	Segments	Branch
98.8%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes56.0ms (0.3%)

Memory

8.5MiB live, 50.1MiB allocated

Counts

45 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(*.f64 re (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 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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 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 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 (fma.f64 (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)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im (/.f64 re (.f64 im im))) (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 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (.f64 (*.f64 im im) (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 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (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 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (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)))))))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.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 (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))
(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

2 calls:

42.0ms	re
11.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
99.4%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
97.6%	4	`re`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.1%)

Memory

-3.0MiB live, 36.2MiB allocated

Counts

44 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(*.f64 re (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 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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 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 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 (fma.f64 (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)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im (/.f64 re (.f64 im im))) (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 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (.f64 (*.f64 im im) (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 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (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 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (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)))))))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))

Outputs
(.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
(*.f64 (+.f64 re #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
99.2%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes27.0ms (0.1%)

Memory

-8.5MiB live, 68.8MiB allocated

Counts

43 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(*.f64 re (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 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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 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 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 (fma.f64 (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)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im (/.f64 re (.f64 im im))) (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 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (.f64 (*.f64 im im) (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 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (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 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (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)))))))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))

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

Calls

2 calls:

13.0ms	re
11.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
95.6%	4	`re`
98.8%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.1%)

Memory

-1.0MiB live, 40.5MiB allocated

Counts

42 → 5

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(*.f64 re (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 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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 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 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 (fma.f64 (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)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im (/.f64 re (.f64 im im))) (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 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (.f64 (*.f64 im im) (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 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (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 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (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)))))))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(cos.f64 im)
(exp.f64 re)
(pow.f64 (E.f64) re)

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

Calls

1 calls:

12.0ms

(*.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)

regimes76.0ms (0.4%)

Memory

12.5MiB live, 128.4MiB allocated

Counts

40 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(*.f64 re (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 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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 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 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 (fma.f64 (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)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im (/.f64 re (.f64 im im))) (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 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (.f64 (*.f64 im im) (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 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (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 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (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)))))))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(cos.f64 im)

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

Calls

5 calls:

29.0ms	(cos.f64 im)
12.0ms	re
12.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
11.0ms	im
9.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
63.2%	2	`im`
63.1%	2	`(cos.f64 im)`
82.0%	4	`re`
77.1%	3	`(exp.f64 re)`
82.1%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes95.0ms (0.5%)

Memory

-2.1MiB live, 117.6MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
re
(+.f64 re #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
(*.f64 re (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 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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im)))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 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 re (.f64 re (.f64 re #s(literal 1/6 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (.f64 (.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) im) im) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (fma.f64 (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 im (.f64 im #s(literal -1/2 binary64)) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 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))))) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (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 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 (fma.f64 (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)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 im (/.f64 re (.f64 im im))) (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 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 re (.f64 im im)) (.f64 (*.f64 im im) (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 (.f64 (.f64 re (.f64 re re)) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/4 binary64) re)))) (fma.f64 (.f64 im im) (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (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 (fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 re re)) (+.f64 re #s(literal -1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (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)))))))) #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (fma.f64 (.f64 im im) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 re re) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))))
(/.f64 (.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 #s(literal -1/8 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))

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

(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.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:

35.0ms	im
28.0ms	re
10.0ms	(cos.f64 im)
10.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
49.2%	2	`(cos.f64 im)`
43.4%	1	`im`
52.7%	2	`(exp.f64 re)`
58.6%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
58.4%	4	`re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes8.0ms (0%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.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

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
58.4%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes29.0ms (0.1%)

Memory

-26.1MiB live, 12.5MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64)))

(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.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

1 calls:

28.0ms

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

Results

Accuracy	Segments	Branch
58.2%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.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

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
57.1%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.1%)

Memory

-26.6MiB live, 22.1MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

(*.f64 (+.f64 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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))

Calls

4 calls:

9.0ms	re
4.0ms	(cos.f64 im)
4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
47.8%	2	`(cos.f64 im)`
43.4%	1	`(exp.f64 re)`
43.4%	1	`re`
47.8%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

(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))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
47.0%	2	`(cos.f64 im)`
47.2%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
40.8%	1	`re`
40.8%	1	`im`
40.8%	1	`(exp.f64 re)`
44.4%	2	`(cos.f64 im)`
44.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0%)

Memory

-22.5MiB live, 16.6MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
33.6%	2	`(cos.f64 im)`
44.5%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.8%	2	`(exp.f64 re)`
40.8%	2	`re`
31.7%	2	`im`
40.8%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0%)

Memory

-32.8MiB live, 6.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
40.8%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
30.1%	1	`im`
30.1%	1	`(cos.f64 im)`
30.1%	1	`(exp.f64 re)`
30.1%	1	`re`
30.1%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes9.0ms (0%)

Memory

-16.0MiB live, 23.3MiB allocated

Accuracy

Total -17.1b remaining (-38%)

Threshold costs -17.1b (-38%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
re

Outputs
#s(literal 1 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
29.6%	1	`(cos.f64 im)`
29.6%	1	`(exp.f64 re)`
29.6%	1	`re`
29.6%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
29.6%	1	`im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch45.0ms (0.2%)

Memory

10.2MiB live, 87.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	2.006900802323766e+102	1.3177793929889776e+110
11.0ms	0.00033689402463994234	0.1581574793532558
17.0ms	-0.0043048012953598004	-1.0840439405812659e-16

Samples

25.0ms

432×

valid

Compiler

Compiled 89 to 67 computations (24.7% saved)

Precisions

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

ival-cos: 9.0ms (57.4% of total)

ival-exp: 4.0ms (25.5% of total)

ival-mult: 3.0ms (19.1% of total)

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

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

bsearch42.0ms (0.2%)

Memory

15.3MiB live, 94.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	2.006900802323766e+102	1.3177793929889776e+110
12.0ms	0.00033689402463994234	0.1581574793532558
15.0ms	-0.0043048012953598004	-1.0840439405812659e-16

Samples

26.0ms

432×

valid

Compiler

Compiled 87 to 65 computations (25.3% saved)

Precisions

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

ival-cos: 9.0ms (56.3% of total)

ival-exp: 4.0ms (25% of total)

ival-mult: 3.0ms (18.8% of total)

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

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996580522	1.0
0.0ms	0.0	0.1069462188459568
0.0ms	-0.030585244383059183	0.0
0.0ms	-inf	-0.9992553955035542

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch3.0ms (0%)

Memory

-40.7MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996580522	1.0
0.0ms	0.0	0.1069462188459568
0.0ms	-0.030585244383059183	0.0
0.0ms	-inf	-0.9992553955035542

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996580522	1.0
0.0ms	0.0	0.1069462188459568
0.0ms	-0.030585244383059183	0.0
0.0ms	-inf	-0.9992553955035542

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996580522	1.0
0.0ms	0.0	0.1069462188459568
0.0ms	-0.030585244383059183	0.0
0.0ms	-inf	-0.9992553955035542

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch34.0ms (0.2%)

Memory

31.5MiB live, 69.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	2.006900802323766e+102	1.3177793929889776e+110
13.0ms	0.00033689402463994234	0.1581574793532558
6.0ms	-2742091252818665500.0	-1239714827867279400.0

Samples

22.0ms

352×

valid

Compiler

Compiled 127 to 70 computations (44.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 9.0ms (64.6% of total)

ival-exp: 3.0ms (21.5% of total)

ival-mult: 2.0ms (14.4% of total)

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

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

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.1069462188459568
0.0ms	-0.030585244383059183	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.1069462188459568
0.0ms	-0.09105404460925876	-0.030585244383059183

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.1069462188459568
0.0ms	-0.09105404460925876	-0.030585244383059183

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.1069462188459568
0.0ms	-0.030585244383059183	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.1069462188459568

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	0.1069462188459568

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	0.1069462188459568

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.171350643725642	7.580087828611369e+70
0.0ms	0.0	0.1069462188459568

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.171350643725642	7.580087828611369e+70

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.171350643725642	7.580087828611369e+70

Compiler

Compiled 10 to 10 computations (0% saved)

simplify17.0ms (0.1%)

Memory

-5.9MiB live, 33.8MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
14×	`if-if-or-not_binary32`
6×	`if-not_binary32`
4×	`not-or_bool`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	728
1	130	708
2	135	708
3	138	704
4	139	704
5	142	704

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -4842270319348757/1152921504606846976 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 5584463537939415/36028797018963968 binary64)) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 re #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (.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 (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 re #s(literal -4842270319348757/1152921504606846976 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 5584463537939415/36028797018963968 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 re #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (.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 (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 -inf.0 binary64)) (.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 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 -inf.0 binary64)) (.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 binary64)) (cos.f64 im) (exp.f64 re)))))
(if (<=.f64 re #s(literal -1250000000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 48999163945791/144115188075855872 binary64)) (cos.f64 im) (if (<=.f64 re #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.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 -3602879701896397/72057594037927936 binary64)) (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.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 -3602879701896397/72057594037927936 binary64)) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.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 -5764607523034235/288230376151711744 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.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 0 binary64)) (.f64 (+.f64 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 (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)) (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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 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)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -4842270319348757/1152921504606846976 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 5584463537939415/36028797018963968 binary64)) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 re #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (.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 (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 re #s(literal -4842270319348757/1152921504606846976 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 5584463537939415/36028797018963968 binary64)) (.f64 (cos.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 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 re #s(literal -4842270319348757/1152921504606846976 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 5584463537939415/36028797018963968 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 re #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (.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 (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 re #s(literal -4842270319348757/1152921504606846976 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 5584463537939415/36028797018963968 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 re #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 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 -inf.0 binary64)) (.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 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 -inf.0 binary64)) (.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 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 -inf.0 binary64)) (.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (exp.f64 re) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 binary64)) (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 binary64)) (.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (exp.f64 re)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 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 1125899906457625/1125899906842624 binary64)) (cos.f64 im) (exp.f64 re)))))
(if (<=.f64 re #s(literal -1250000000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 48999163945791/144115188075855872 binary64)) (cos.f64 im) (if (<=.f64 re #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (/.f64 (.f64 (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (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))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 re #s(literal -1250000000000000000 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 im im))) (if (<=.f64 re #s(literal 48999163945791/144115188075855872 binary64)) (cos.f64 im) (if (<=.f64 re #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (/.f64 (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 re (fma.f64 re (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 -5764607523034235/288230376151711744 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))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.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 -5764607523034235/288230376151711744 binary64)) (.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))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.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 -3602879701896397/72057594037927936 binary64)) (.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.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 -3602879701896397/72057594037927936 binary64)) (.f64 (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 re re))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.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 -3602879701896397/72057594037927936 binary64)) (.f64 (.f64 re (.f64 re re)) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.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 -5764607523034235/288230376151711744 binary64)) (.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) (.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 0 binary64)) (.f64 (+.f64 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 (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)) (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)))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 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)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (+.f64 re #s(literal 1 binary64)) (.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)))
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.7s (8.4%)

Memory

-9.6MiB live, 1 268.5MiB allocated

Rules

17 940×	`accelerator-lowering-fma.f32`
17 940×	`accelerator-lowering-fma.f64`
15 940×	`accelerator-lowering-fma.f32`
15 940×	`accelerator-lowering-fma.f64`
12 502×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	131
1	205	131
2	1819	131
0	8538	108
0	21	76
1	112	76
2	910	76
0	8507	65
0	243	2261
1	826	2162
2	3221	2057
3	7070	2051
0	8115	1812
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

Compiler

Compiled 1 681 to 740 computations (56% saved)

preprocess93.0ms (0.5%)

Memory: 20.5MiB live, 216.5MiB allocated
Remove: (abs im)
Compiler: Compiled 1 534 to 230 computations (85% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	34
1	39	34
2	72	32
3	108	32
4	166	32
5	206	32
6	250	32
7	284	32
8	295	32
9	295	32
0	5	5
1	6	5
0	6	5

Iter	Nodes	Cost
0	16	34
1	39	34
2	72	32
3	108	32
4	166	32
5	206	32
6	250	32
7	284	32
8	295	32
9	295	32
0	5	5
1	6	5
0	6	5

analyze0.0ms (0%)

sample1.1s (5.7%)

preprocess21.0ms (0.1%)

explain66.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize25.0ms (0.1%)

series3.0ms (0%)

rewrite26.0ms (0.1%)

simplify676.0ms (3.4%)

eval5.0ms (0%)

prune7.0ms (0%)

simplify46.0ms (0.2%)

localize78.0ms (0.4%)

series12.0ms (0.1%)

rewrite487.0ms (2.4%)

simplify443.0ms (2.2%)

eval96.0ms (0.5%)

prune125.0ms (0.6%)

simplify1.1s (5.3%)

localize137.0ms (0.7%)

series12.0ms (0.1%)

rewrite10.1s (50.2%)

simplify454.0ms (2.3%)

eval153.0ms (0.8%)

prune187.0ms (0.9%)

simplify607.0ms (3%)

localize154.0ms (0.8%)

series28.0ms (0.1%)

rewrite429.0ms (2.1%)

simplify594.0ms (3%)

eval170.0ms (0.8%)

prune228.0ms (1.1%)

regimes96.0ms (0.5%)

regimes102.0ms (0.5%)

regimes35.0ms (0.2%)

regimes56.0ms (0.3%)

regimes14.0ms (0.1%)

regimes27.0ms (0.1%)

regimes14.0ms (0.1%)

regimes76.0ms (0.4%)

regimes95.0ms (0.5%)

regimes8.0ms (0%)

regimes29.0ms (0.1%)

regimes6.0ms (0%)

regimes20.0ms (0.1%)

regimes8.0ms (0%)

regimes17.0ms (0.1%)

regimes7.0ms (0%)

regimes9.0ms (0%)

regimes3.0ms (0%)

regimes9.0ms (0%)

regimes9.0ms (0%)

bsearch45.0ms (0.2%)

bsearch42.0ms (0.2%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch34.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

soundness1.7s (8.4%)

preprocess93.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	34
1	39	34
2	72	32
3	108	32
4	166	32
5	206	32
6	250	32
7	284	32
8	295	32
9	295	32
0	5	5
1	6	5
0	6	5